0.00/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.14 % Command : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC 0.13/0.34 % Computer : n003.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1200 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Jul 13 11:19:14 EDT 2021 0.13/0.34 % CPUTime : 0.13/0.34 % Number of cores: 8 0.13/0.34 % Python version: Python 3.6.8 0.13/0.34 # Version: 2.6rc1-ho 0.13/0.34 # No SInE strategy applied 0.13/0.34 # Trying AutoSched0 for 59 seconds 59.11/59.75 # AutoSched0-Mode selected heuristic SAT001_MinMin_x000000_rr 59.11/59.75 # and selection function SelectMaxLComplexAvoidPosPred. 59.11/59.75 # 59.11/59.75 # Preprocessing time : 0.271 s 59.11/59.75 # Presaturation interreduction done 59.23/59.84 # No success with AutoSched0 59.23/59.84 # Trying AutoSched1 for 26 seconds 63.62/64.27 # AutoSched1-Mode selected heuristic G_____0021_C18_F1_SE_CS_SP_S4S 63.62/64.27 # and selection function SelectNewComplexAHPNS. 63.62/64.27 # 63.62/64.27 # Preprocessing time : 0.283 s 63.62/64.27 63.62/64.27 # Proof found! 63.62/64.27 # SZS status Theorem 63.62/64.27 # SZS output start CNFRefutation 63.62/64.27 thf(conj, conjecture, c_not @ (![X1:$i > $i > $o, X51:$i > $i > $i, X52:$i > $o, X53:$i > $o, X54:$i > $i, X55:$i, X56:$i, X57:$i, X58:$i, X59:$i]:(c_and @ (![X60:$i]:((X54 @ X59)=(X60)=>(c_and @ (X52 @ X60) @ (((X57)=(X55)=>c_and @ (![X61:$i]:(X59)=(X58)) @ (?[X62:$i]:X53 @ X60)))=>?[X63:$i]:(X57)=(X57)))) @ (c_not @ (X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))))=>(X56)=(X59))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj)). 63.62/64.27 thf(ax13, axiom, (c_not)=(^[X88:$o]:(X88=>c_False)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax13)). 63.62/64.27 thf(ax14, axiom, (c_and)=(^[X83:$o, X84:$o]:![X85:$o]:(X85<=(X83=>(X84=>X85)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax14)). 63.62/64.27 thf(ax17, axiom, (c_Subq)=(^[X8:$i, X2:$i]:![X5:$i]:(c_In @ X5 @ X2<=c_In @ X5 @ X8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax17)). 63.62/64.27 thf(ax5, axiom, c_not @ (?[X131:$i]:c_In @ X131 @ c_Empty), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax5)). 63.62/64.27 thf(ax7, axiom, ![X201:$i, X2:$i]:c_iff @ (c_In @ X2 @ (c_Power @ X201)) @ (c_Subq @ X2 @ X201), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax7)). 63.62/64.27 thf(ax3, axiom, ![X103:$o, X104:$o]:(c_iff @ (X103) @ (X104)=>(X103<=>X104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax3)). 63.62/64.27 thf(c_0_7, plain, ![X51:$i > $i > $i, X52:$i > $o, X53:$i > $o, X54:$i > $i, X59:$i, X58:$i, X57:$i, X55:$i]:(epred49_8 @ X55 @ X57 @ X58 @ X59 @ X53 @ X54 @ X51 @ X52<=>(~(![X60:$i]:((X54 @ X59)=(X60)=>(((~X52 @ X60|((~(((X57)=(X55)=>((~(![X61:$i]:(X59)=(X58))|((~(?[X62:$i]:X53 @ X60)|c_and @ $true @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $true @ $false)))&(![X61:$i]:(X59)=(X58)|((~(?[X62:$i]:X53 @ X60)|c_and @ $false @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $false @ $false))))))|c_and @ $true @ $true)&(((X57)=(X55)=>((~(![X61:$i]:(X59)=(X58))|((~(?[X62:$i]:X53 @ X60)|c_and @ $true @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $true @ $false)))&(![X61:$i]:(X59)=(X58)|((~(?[X62:$i]:X53 @ X60)|c_and @ $false @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $false @ $false)))))|c_and @ $true @ $false)))&(X52 @ X60|((~(((X57)=(X55)=>((~(![X61:$i]:(X59)=(X58))|((~(?[X62:$i]:X53 @ X60)|c_and @ $true @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $true @ $false)))&(![X61:$i]:(X59)=(X58)|((~(?[X62:$i]:X53 @ X60)|c_and @ $false @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $false @ $false))))))|c_and @ $false @ $true)&(((X57)=(X55)=>((~(![X61:$i]:(X59)=(X58))|((~(?[X62:$i]:X53 @ X60)|c_and @ $true @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $true @ $false)))&(![X61:$i]:(X59)=(X58)|((~(?[X62:$i]:X53 @ X60)|c_and @ $false @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $false @ $false)))))|c_and @ $false @ $false))))=>?[X63:$i]:(X57)=(X57))))|((((~X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|~c_not @ $true)&(X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|~c_not @ $false))|c_and @ $true @ $true)&(((~X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|c_not @ $true)&(X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|c_not @ $false))|c_and @ $true @ $false)))), introduced(definition)). 63.62/64.27 thf(c_0_8, plain, ![X51:$i > $i > $i, X52:$i > $o, X53:$i > $o, X54:$i > $i, X59:$i, X58:$i, X57:$i, X55:$i]:(epred51_8 @ X55 @ X57 @ X58 @ X59 @ X53 @ X54 @ X51 @ X52<=>(![X60:$i]:((X54 @ X59)=(X60)=>(((~X52 @ X60|((~(((X57)=(X55)=>((~(![X61:$i]:(X59)=(X58))|((~(?[X62:$i]:X53 @ X60)|c_and @ $true @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $true @ $false)))&(![X61:$i]:(X59)=(X58)|((~(?[X62:$i]:X53 @ X60)|c_and @ $false @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $false @ $false))))))|c_and @ $true @ $true)&(((X57)=(X55)=>((~(![X61:$i]:(X59)=(X58))|((~(?[X62:$i]:X53 @ X60)|c_and @ $true @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $true @ $false)))&(![X61:$i]:(X59)=(X58)|((~(?[X62:$i]:X53 @ X60)|c_and @ $false @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $false @ $false)))))|c_and @ $true @ $false)))&(X52 @ X60|((~(((X57)=(X55)=>((~(![X61:$i]:(X59)=(X58))|((~(?[X62:$i]:X53 @ X60)|c_and @ $true @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $true @ $false)))&(![X61:$i]:(X59)=(X58)|((~(?[X62:$i]:X53 @ X60)|c_and @ $false @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $false @ $false))))))|c_and @ $false @ $true)&(((X57)=(X55)=>((~(![X61:$i]:(X59)=(X58))|((~(?[X62:$i]:X53 @ X60)|c_and @ $true @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $true @ $false)))&(![X61:$i]:(X59)=(X58)|((~(?[X62:$i]:X53 @ X60)|c_and @ $false @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $false @ $false)))))|c_and @ $false @ $false))))=>?[X63:$i]:(X57)=(X57)))|((((~X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|~c_not @ $true)&(X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|~c_not @ $false))|c_and @ $false @ $true)&(((~X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|c_not @ $true)&(X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|c_not @ $false))|c_and @ $false @ $false)))), introduced(definition)). 63.62/64.27 thf(c_0_9, plain, ![X52:$i > $o, X53:$i > $o, X55:$i, X57:$i, X58:$i, X59:$i, X60:$i]:(epred50_7 @ X60 @ X57 @ X59 @ X58 @ X53 @ X55 @ X52<=>((~X52 @ X60|((~(((X57)=(X55)=>((~(![X61:$i]:(X59)=(X58))|((~(?[X62:$i]:X53 @ X60)|c_and @ $true @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $true @ $false)))&(![X61:$i]:(X59)=(X58)|((~(?[X62:$i]:X53 @ X60)|c_and @ $false @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $false @ $false))))))|c_and @ $true @ $true)&(((X57)=(X55)=>((~(![X61:$i]:(X59)=(X58))|((~(?[X62:$i]:X53 @ X60)|c_and @ $true @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $true @ $false)))&(![X61:$i]:(X59)=(X58)|((~(?[X62:$i]:X53 @ X60)|c_and @ $false @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $false @ $false)))))|c_and @ $true @ $false)))&(X52 @ X60|((~(((X57)=(X55)=>((~(![X61:$i]:(X59)=(X58))|((~(?[X62:$i]:X53 @ X60)|c_and @ $true @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $true @ $false)))&(![X61:$i]:(X59)=(X58)|((~(?[X62:$i]:X53 @ X60)|c_and @ $false @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $false @ $false))))))|c_and @ $false @ $true)&(((X57)=(X55)=>((~(![X61:$i]:(X59)=(X58))|((~(?[X62:$i]:X53 @ X60)|c_and @ $true @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $true @ $false)))&(![X61:$i]:(X59)=(X58)|((~(?[X62:$i]:X53 @ X60)|c_and @ $false @ $true)&(?[X62:$i]:X53 @ X60|c_and @ $false @ $false)))))|c_and @ $false @ $false))))), introduced(definition)). 63.62/64.27 thf(c_0_10, negated_conjecture, ~(((~(![X1:$i > $i > $o, X51:$i > $i > $i, X52:$i > $o, X53:$i > $o, X54:$i > $i, X55:$i, X56:$i, X57:$i, X58:$i, X59:$i]:((epred49_8 @ X55 @ X57 @ X58 @ X59 @ X53 @ X54 @ X51 @ X52&epred51_8 @ X55 @ X57 @ X58 @ X59 @ X53 @ X54 @ X51 @ X52)=>(X56)=(X59)))|c_not @ $true)&(![X1:$i > $i > $o, X51:$i > $i > $i, X52:$i > $o, X53:$i > $o, X54:$i > $i, X55:$i, X56:$i, X57:$i, X58:$i, X59:$i]:((epred49_8 @ X55 @ X57 @ X58 @ X59 @ X53 @ X54 @ X51 @ X52&epred51_8 @ X55 @ X57 @ X58 @ X59 @ X53 @ X54 @ X51 @ X52)=>(X56)=(X59))|c_not @ $false))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]), c_0_7]), c_0_8]), c_0_7]), c_0_8])). 63.62/64.27 thf(c_0_11, plain, ![X88:$o]:(c_not @ X88<=>(X88=>c_False)), inference(fof_simplification,[status(thm)],[ax13])). 63.62/64.27 thf(c_0_12, plain, ![X83:$o, X84:$o]:(c_and @ X83 @ X84<=>![X285:$o]:((X83=>(X84=>X285))=>X285)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])])). 63.62/64.27 thf(c_0_13, plain, ![X51:$i > $i > $i, X52:$i > $o, X53:$i > $o, X54:$i > $i, X59:$i, X58:$i, X57:$i, X55:$i]:(epred49_8 @ X55 @ X57 @ X58 @ X59 @ X53 @ X54 @ X51 @ X52<=>(~(![X60:$i]:((X54 @ X59)=(X60)=>(epred50_7 @ X60 @ X57 @ X59 @ X58 @ X53 @ X55 @ X52=>?[X63:$i]:(X57)=(X57))))|((((~X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|~c_not @ $true)&(X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|~c_not @ $false))|c_and @ $true @ $true)&(((~X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|c_not @ $true)&(X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|c_not @ $false))|c_and @ $true @ $false)))), inference(apply_def,[status(thm)],[c_0_7, c_0_9])). 63.62/64.27 thf(c_0_14, plain, ![X282:$i, X76:$o, X5:$i]:(epred176_3 @ X5 @ X76 @ X282<=>((((~X76|~c_not @ $true)&(X76|~c_not @ $false))|(((X282)!=(X5)|~c_and @ $true @ $true)&((X282)=(X5)|~c_and @ $true @ $false)))&(((~X76|c_not @ $true)&(X76|c_not @ $false))|(((X282)!=(X5)|~c_and @ $false @ $true)&((X282)=(X5)|~c_and @ $false @ $false))))), introduced(definition)). 63.62/64.27 thf(c_0_15, negated_conjecture, ![X460:$i > $i > $i, X461:$i > $o, X462:$i > $o, X463:$i > $i, X464:$i, X465:$i, X466:$i, X467:$i, X468:$i]:(((((epred49_8 @ esk27_0 @ esk29_0 @ esk30_0 @ esk31_0 @ epred183_0 @ esk26_0 @ esk25_0 @ epred182_0|(~epred49_8 @ X464 @ X466 @ X467 @ X468 @ X462 @ X463 @ X460 @ X461|~epred51_8 @ X464 @ X466 @ X467 @ X468 @ X462 @ X463 @ X460 @ X461|(X465)=(X468)))&(epred51_8 @ esk27_0 @ esk29_0 @ esk30_0 @ esk31_0 @ epred183_0 @ esk26_0 @ esk25_0 @ epred182_0|(~epred49_8 @ X464 @ X466 @ X467 @ X468 @ X462 @ X463 @ X460 @ X461|~epred51_8 @ X464 @ X466 @ X467 @ X468 @ X462 @ X463 @ X460 @ X461|(X465)=(X468))))&((esk28_0)!=(esk31_0)|(~epred49_8 @ X464 @ X466 @ X467 @ X468 @ X462 @ X463 @ X460 @ X461|~epred51_8 @ X464 @ X466 @ X467 @ X468 @ X462 @ X463 @ X460 @ X461|(X465)=(X468))))&(~c_not @ $false|(~epred49_8 @ X464 @ X466 @ X467 @ X468 @ X462 @ X463 @ X460 @ X461|~epred51_8 @ X464 @ X466 @ X467 @ X468 @ X462 @ X463 @ X460 @ X461|(X465)=(X468))))&((((epred49_8 @ esk27_0 @ esk29_0 @ esk30_0 @ esk31_0 @ epred183_0 @ esk26_0 @ esk25_0 @ epred182_0|~c_not @ $true)&(epred51_8 @ esk27_0 @ esk29_0 @ esk30_0 @ esk31_0 @ epred183_0 @ esk26_0 @ esk25_0 @ epred182_0|~c_not @ $true))&((esk28_0)!=(esk31_0)|~c_not @ $true))&(~c_not @ $false|~c_not @ $true))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_10])])])])])])). 63.62/64.27 thf(c_0_16, plain, ![X516:$o]:((~c_not @ X516|(~X516|c_False))&((X516|c_not @ X516)&(~c_False|c_not @ X516))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])). 63.62/64.27 thf(c_0_17, plain, ![X282:$i, X76:$o, X2:$i]:(epred175_3 @ X2 @ X76 @ X282<=>((~X76|(((X282)!=(X2)|~c_and @ $true @ $true)&((X282)=(X2)|~c_and @ $true @ $false)))&(X76|(((X282)!=(X2)|~c_and @ $false @ $true)&((X282)=(X2)|~c_and @ $false @ $false))))), introduced(definition)). 63.62/64.27 thf(c_0_18, plain, ![X506:$o, X507:$o, X508:$o, X509:$o, X510:$o]:(((X506|X508|~c_and @ X506 @ X507)&((X507|X508|~c_and @ X506 @ X507)&(~X508|X508|~c_and @ X506 @ X507)))&((~X509|(~X510|epred184_2 @ X509 @ X510)|c_and @ X509 @ X510)&(~epred184_2 @ X509 @ X510|c_and @ X509 @ X510))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])])])). 63.62/64.27 thf(c_0_19, plain, ![X1133:$i > $i > $i, X1134:$i > $o, X1135:$i > $o, X1136:$i > $i, X1137:$i, X1138:$i, X1139:$i, X1140:$i, X1142:$i > $i > $i, X1143:$i > $o, X1144:$i > $o, X1145:$i > $i, X1146:$i, X1147:$i, X1148:$i, X1149:$i, X1150:$i]:(((((~X1135 @ (X1136 @ (X1136 @ (X1133 @ X1139 @ X1140)))|~c_not @ $true|c_and @ $true @ $true|(X1136 @ X1137)=(esk108_8 @ X1133 @ X1134 @ X1135 @ X1136 @ X1137 @ X1138 @ X1139 @ X1140)|~epred49_8 @ X1140 @ X1139 @ X1138 @ X1137 @ X1135 @ X1136 @ X1133 @ X1134)&(X1135 @ (X1136 @ (X1136 @ (X1133 @ X1139 @ X1140)))|~c_not @ $false|c_and @ $true @ $true|(X1136 @ X1137)=(esk108_8 @ X1133 @ X1134 @ X1135 @ X1136 @ X1137 @ X1138 @ X1139 @ X1140)|~epred49_8 @ X1140 @ X1139 @ X1138 @ X1137 @ X1135 @ X1136 @ X1133 @ X1134))&((~X1135 @ (X1136 @ (X1136 @ (X1133 @ X1139 @ X1140)))|c_not @ $true|c_and @ $true @ $false|(X1136 @ X1137)=(esk108_8 @ X1133 @ X1134 @ X1135 @ X1136 @ X1137 @ X1138 @ X1139 @ X1140)|~epred49_8 @ X1140 @ X1139 @ X1138 @ X1137 @ X1135 @ X1136 @ X1133 @ X1134)&(X1135 @ (X1136 @ (X1136 @ (X1133 @ X1139 @ X1140)))|c_not @ $false|c_and @ $true @ $false|(X1136 @ X1137)=(esk108_8 @ X1133 @ X1134 @ X1135 @ X1136 @ X1137 @ X1138 @ X1139 @ X1140)|~epred49_8 @ X1140 @ X1139 @ X1138 @ X1137 @ X1135 @ X1136 @ X1133 @ X1134)))&((((~X1135 @ (X1136 @ (X1136 @ (X1133 @ X1139 @ X1140)))|~c_not @ $true|c_and @ $true @ $true|epred50_7 @ (esk108_8 @ X1133 @ X1134 @ X1135 @ X1136 @ X1137 @ X1138 @ X1139 @ X1140) @ X1139 @ X1137 @ X1138 @ X1135 @ X1140 @ X1134|~epred49_8 @ X1140 @ X1139 @ X1138 @ X1137 @ X1135 @ X1136 @ X1133 @ X1134)&(X1135 @ (X1136 @ (X1136 @ (X1133 @ X1139 @ X1140)))|~c_not @ $false|c_and @ $true @ $true|epred50_7 @ (esk108_8 @ X1133 @ X1134 @ X1135 @ X1136 @ X1137 @ X1138 @ X1139 @ X1140) @ X1139 @ X1137 @ X1138 @ X1135 @ X1140 @ X1134|~epred49_8 @ X1140 @ X1139 @ X1138 @ X1137 @ X1135 @ X1136 @ X1133 @ X1134))&((~X1135 @ (X1136 @ (X1136 @ (X1133 @ X1139 @ X1140)))|c_not @ $true|c_and @ $true @ $false|epred50_7 @ (esk108_8 @ X1133 @ X1134 @ X1135 @ X1136 @ X1137 @ X1138 @ X1139 @ X1140) @ X1139 @ X1137 @ X1138 @ X1135 @ X1140 @ X1134|~epred49_8 @ X1140 @ X1139 @ X1138 @ X1137 @ X1135 @ X1136 @ X1133 @ X1134)&(X1135 @ (X1136 @ (X1136 @ (X1133 @ X1139 @ X1140)))|c_not @ $false|c_and @ $true @ $false|epred50_7 @ (esk108_8 @ X1133 @ X1134 @ X1135 @ X1136 @ X1137 @ X1138 @ X1139 @ X1140) @ X1139 @ X1137 @ X1138 @ X1135 @ X1140 @ X1134|~epred49_8 @ X1140 @ X1139 @ X1138 @ X1137 @ X1135 @ X1136 @ X1133 @ X1134)))&(((~X1135 @ (X1136 @ (X1136 @ (X1133 @ X1139 @ X1140)))|~c_not @ $true|c_and @ $true @ $true|(X1139)!=(X1139)|~epred49_8 @ X1140 @ X1139 @ X1138 @ X1137 @ X1135 @ X1136 @ X1133 @ X1134)&(X1135 @ (X1136 @ (X1136 @ (X1133 @ X1139 @ X1140)))|~c_not @ $false|c_and @ $true @ $true|(X1139)!=(X1139)|~epred49_8 @ X1140 @ X1139 @ X1138 @ X1137 @ X1135 @ X1136 @ X1133 @ X1134))&((~X1135 @ (X1136 @ (X1136 @ (X1133 @ X1139 @ X1140)))|c_not @ $true|c_and @ $true @ $false|(X1139)!=(X1139)|~epred49_8 @ X1140 @ X1139 @ X1138 @ X1137 @ X1135 @ X1136 @ X1133 @ X1134)&(X1135 @ (X1136 @ (X1136 @ (X1133 @ X1139 @ X1140)))|c_not @ $false|c_and @ $true @ $false|(X1139)!=(X1139)|~epred49_8 @ X1140 @ X1139 @ X1138 @ X1137 @ X1135 @ X1136 @ X1133 @ X1134)))))&(((X1145 @ X1146)!=(X1150)|(~epred50_7 @ X1150 @ X1148 @ X1146 @ X1147 @ X1144 @ X1149 @ X1143|(X1148)=(X1148))|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)&(((((((~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|(~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149))))|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)&(~c_not @ $false|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|(~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149))))|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143))&((~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|~c_not @ $true|(~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149))))|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)&(~c_not @ $false|~c_not @ $true|(~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149))))|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)))&(~c_and @ $true @ $false|(~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149))))|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143))&((((~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|(c_not @ $false|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149))))|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)&(~c_not @ $false|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|(c_not @ $false|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149))))|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143))&((~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|~c_not @ $true|(c_not @ $false|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149))))|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149))))|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)))&(~c_and @ $true @ $false|(c_not @ $false|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149))))|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)))&(((((~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|(~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|c_not @ $true)|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)&(~c_not @ $false|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|(~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|c_not @ $true)|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143))&((~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|~c_not @ $true|(~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|c_not @ $true)|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)&(~c_not @ $false|~c_not @ $true|(~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|c_not @ $true)|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)))&(~c_and @ $true @ $false|(~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|c_not @ $true)|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143))&((((~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|(c_not @ $false|c_not @ $true)|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)&(~c_not @ $false|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|(c_not @ $false|c_not @ $true)|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143))&((~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)))&(~c_and @ $true @ $false|(c_not @ $false|c_not @ $true)|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143))))&((((~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|~c_and @ $true @ $true|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)&(~c_not @ $false|X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|~c_and @ $true @ $true|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143))&((~X1144 @ (X1145 @ (X1145 @ (X1142 @ X1148 @ X1149)))|~c_not @ $true|~c_and @ $true @ $true|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)&(~c_not @ $false|~c_not @ $true|~c_and @ $true @ $true|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143)))&(~c_and @ $true @ $false|~c_and @ $true @ $true|epred49_8 @ X1149 @ X1148 @ X1147 @ X1146 @ X1144 @ X1145 @ X1142 @ X1143))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_13])])])])])])])). 63.62/64.27 thf(c_0_20, plain, ![X2070:$i, X2071:$o, X2072:$i]:((((((X2070)!=(X2072)|~c_and @ $true @ $true|(~X2071|~c_not @ $true)|~epred176_3 @ X2072 @ X2071 @ X2070)&((X2070)=(X2072)|~c_and @ $true @ $false|(~X2071|~c_not @ $true)|~epred176_3 @ X2072 @ X2071 @ X2070))&(((X2070)!=(X2072)|~c_and @ $true @ $true|(X2071|~c_not @ $false)|~epred176_3 @ X2072 @ X2071 @ X2070)&((X2070)=(X2072)|~c_and @ $true @ $false|(X2071|~c_not @ $false)|~epred176_3 @ X2072 @ X2071 @ X2070)))&((((X2070)!=(X2072)|~c_and @ $false @ $true|(~X2071|c_not @ $true)|~epred176_3 @ X2072 @ X2071 @ X2070)&((X2070)=(X2072)|~c_and @ $false @ $false|(~X2071|c_not @ $true)|~epred176_3 @ X2072 @ X2071 @ X2070))&(((X2070)!=(X2072)|~c_and @ $false @ $true|(X2071|c_not @ $false)|~epred176_3 @ X2072 @ X2071 @ X2070)&((X2070)=(X2072)|~c_and @ $false @ $false|(X2071|c_not @ $false)|~epred176_3 @ X2072 @ X2071 @ X2070))))&(((((((~X2071|X2071|(~X2071|X2071)|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|X2071|(~X2071|X2071)|epred176_3 @ X2072 @ X2071 @ X2070))&((~X2071|~c_not @ $true|(~X2071|X2071)|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|~c_not @ $true|(~X2071|X2071)|epred176_3 @ X2072 @ X2071 @ X2070)))&((((X2070)!=(X2072)|(X2070)=(X2072)|(~X2071|X2071)|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|(X2070)=(X2072)|(~X2071|X2071)|epred176_3 @ X2072 @ X2071 @ X2070))&(((X2070)!=(X2072)|c_and @ $false @ $true|(~X2071|X2071)|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|c_and @ $false @ $true|(~X2071|X2071)|epred176_3 @ X2072 @ X2071 @ X2070))))&((((~X2071|X2071|(c_not @ $false|X2071)|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|X2071|(c_not @ $false|X2071)|epred176_3 @ X2072 @ X2071 @ X2070))&((~X2071|~c_not @ $true|(c_not @ $false|X2071)|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|X2071)|epred176_3 @ X2072 @ X2071 @ X2070)))&((((X2070)!=(X2072)|(X2070)=(X2072)|(c_not @ $false|X2071)|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|(X2070)=(X2072)|(c_not @ $false|X2071)|epred176_3 @ X2072 @ X2071 @ X2070))&(((X2070)!=(X2072)|c_and @ $false @ $true|(c_not @ $false|X2071)|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|c_and @ $false @ $true|(c_not @ $false|X2071)|epred176_3 @ X2072 @ X2071 @ X2070)))))&(((((~X2071|X2071|(~X2071|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|X2071|(~X2071|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070))&((~X2071|~c_not @ $true|(~X2071|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|~c_not @ $true|(~X2071|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)))&((((X2070)!=(X2072)|(X2070)=(X2072)|(~X2071|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|(X2070)=(X2072)|(~X2071|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070))&(((X2070)!=(X2072)|c_and @ $false @ $true|(~X2071|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|c_and @ $false @ $true|(~X2071|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070))))&((((~X2071|X2071|(c_not @ $false|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|X2071|(c_not @ $false|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070))&((~X2071|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)))&((((X2070)!=(X2072)|(X2070)=(X2072)|(c_not @ $false|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|(X2070)=(X2072)|(c_not @ $false|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070))&(((X2070)!=(X2072)|c_and @ $false @ $true|(c_not @ $false|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|c_and @ $false @ $true|(c_not @ $false|c_not @ $true)|epred176_3 @ X2072 @ X2071 @ X2070))))))&((((((~X2071|X2071|((X2070)!=(X2072)|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|X2071|((X2070)!=(X2072)|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070))&((~X2071|~c_not @ $true|((X2070)!=(X2072)|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|~c_not @ $true|((X2070)!=(X2072)|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070)))&((((X2070)!=(X2072)|(X2070)=(X2072)|((X2070)!=(X2072)|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|(X2070)=(X2072)|((X2070)!=(X2072)|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070))&(((X2070)!=(X2072)|c_and @ $false @ $true|((X2070)!=(X2072)|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|c_and @ $false @ $true|((X2070)!=(X2072)|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070))))&((((~X2071|X2071|(c_and @ $true @ $false|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|X2071|(c_and @ $true @ $false|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070))&((~X2071|~c_not @ $true|(c_and @ $true @ $false|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|~c_not @ $true|(c_and @ $true @ $false|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070)))&((((X2070)!=(X2072)|(X2070)=(X2072)|(c_and @ $true @ $false|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|(X2070)=(X2072)|(c_and @ $true @ $false|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070))&(((X2070)!=(X2072)|c_and @ $false @ $true|(c_and @ $true @ $false|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|c_and @ $false @ $true|(c_and @ $true @ $false|(X2070)=(X2072))|epred176_3 @ X2072 @ X2071 @ X2070)))))&(((((~X2071|X2071|((X2070)!=(X2072)|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|X2071|((X2070)!=(X2072)|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070))&((~X2071|~c_not @ $true|((X2070)!=(X2072)|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|~c_not @ $true|((X2070)!=(X2072)|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)))&((((X2070)!=(X2072)|(X2070)=(X2072)|((X2070)!=(X2072)|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|(X2070)=(X2072)|((X2070)!=(X2072)|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070))&(((X2070)!=(X2072)|c_and @ $false @ $true|((X2070)!=(X2072)|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|c_and @ $false @ $true|((X2070)!=(X2072)|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070))))&((((~X2071|X2071|(c_and @ $true @ $false|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|X2071|(c_and @ $true @ $false|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070))&((~X2071|~c_not @ $true|(c_and @ $true @ $false|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(~c_not @ $false|~c_not @ $true|(c_and @ $true @ $false|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)))&((((X2070)!=(X2072)|(X2070)=(X2072)|(c_and @ $true @ $false|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|(X2070)=(X2072)|(c_and @ $true @ $false|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070))&(((X2070)!=(X2072)|c_and @ $false @ $true|(c_and @ $true @ $false|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)&(c_and @ $false @ $false|c_and @ $false @ $true|(c_and @ $true @ $false|c_and @ $true @ $true)|epred176_3 @ X2072 @ X2071 @ X2070)))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])). 63.62/64.27 thf(c_0_21, negated_conjecture, (~c_not @ $false|~c_not @ $true), inference(split_conjunct,[status(thm)],[c_0_15])). 63.62/64.27 thf(c_0_22, plain, c_not @ $false, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_16])])])). 63.62/64.27 thf(c_0_23, plain, ![X2067:$i, X2068:$o, X2069:$i]:(((((X2067)!=(X2069)|~c_and @ $true @ $true|~X2068|~epred175_3 @ X2069 @ X2068 @ X2067)&((X2067)=(X2069)|~c_and @ $true @ $false|~X2068|~epred175_3 @ X2069 @ X2068 @ X2067))&(((X2067)!=(X2069)|~c_and @ $false @ $true|X2068|~epred175_3 @ X2069 @ X2068 @ X2067)&((X2067)=(X2069)|~c_and @ $false @ $false|X2068|~epred175_3 @ X2069 @ X2068 @ X2067)))&(((~X2068|X2068|epred175_3 @ X2069 @ X2068 @ X2067)&((((X2067)!=(X2069)|(X2067)=(X2069)|X2068|epred175_3 @ X2069 @ X2068 @ X2067)&(c_and @ $false @ $false|(X2067)=(X2069)|X2068|epred175_3 @ X2069 @ X2068 @ X2067))&(((X2067)!=(X2069)|c_and @ $false @ $true|X2068|epred175_3 @ X2069 @ X2068 @ X2067)&(c_and @ $false @ $false|c_and @ $false @ $true|X2068|epred175_3 @ X2069 @ X2068 @ X2067))))&((((~X2068|((X2067)!=(X2069)|(X2067)=(X2069))|epred175_3 @ X2069 @ X2068 @ X2067)&((((X2067)!=(X2069)|(X2067)=(X2069)|((X2067)!=(X2069)|(X2067)=(X2069))|epred175_3 @ X2069 @ X2068 @ X2067)&(c_and @ $false @ $false|(X2067)=(X2069)|((X2067)!=(X2069)|(X2067)=(X2069))|epred175_3 @ X2069 @ X2068 @ X2067))&(((X2067)!=(X2069)|c_and @ $false @ $true|((X2067)!=(X2069)|(X2067)=(X2069))|epred175_3 @ X2069 @ X2068 @ X2067)&(c_and @ $false @ $false|c_and @ $false @ $true|((X2067)!=(X2069)|(X2067)=(X2069))|epred175_3 @ X2069 @ X2068 @ X2067))))&((~X2068|(c_and @ $true @ $false|(X2067)=(X2069))|epred175_3 @ X2069 @ X2068 @ X2067)&((((X2067)!=(X2069)|(X2067)=(X2069)|(c_and @ $true @ $false|(X2067)=(X2069))|epred175_3 @ X2069 @ X2068 @ X2067)&(c_and @ $false @ $false|(X2067)=(X2069)|(c_and @ $true @ $false|(X2067)=(X2069))|epred175_3 @ X2069 @ X2068 @ X2067))&(((X2067)!=(X2069)|c_and @ $false @ $true|(c_and @ $true @ $false|(X2067)=(X2069))|epred175_3 @ X2069 @ X2068 @ X2067)&(c_and @ $false @ $false|c_and @ $false @ $true|(c_and @ $true @ $false|(X2067)=(X2069))|epred175_3 @ X2069 @ X2068 @ X2067)))))&(((~X2068|((X2067)!=(X2069)|c_and @ $true @ $true)|epred175_3 @ X2069 @ X2068 @ X2067)&((((X2067)!=(X2069)|(X2067)=(X2069)|((X2067)!=(X2069)|c_and @ $true @ $true)|epred175_3 @ X2069 @ X2068 @ X2067)&(c_and @ $false @ $false|(X2067)=(X2069)|((X2067)!=(X2069)|c_and @ $true @ $true)|epred175_3 @ X2069 @ X2068 @ X2067))&(((X2067)!=(X2069)|c_and @ $false @ $true|((X2067)!=(X2069)|c_and @ $true @ $true)|epred175_3 @ X2069 @ X2068 @ X2067)&(c_and @ $false @ $false|c_and @ $false @ $true|((X2067)!=(X2069)|c_and @ $true @ $true)|epred175_3 @ X2069 @ X2068 @ X2067))))&((~X2068|(c_and @ $true @ $false|c_and @ $true @ $true)|epred175_3 @ X2069 @ X2068 @ X2067)&((((X2067)!=(X2069)|(X2067)=(X2069)|(c_and @ $true @ $false|c_and @ $true @ $true)|epred175_3 @ X2069 @ X2068 @ X2067)&(c_and @ $false @ $false|(X2067)=(X2069)|(c_and @ $true @ $false|c_and @ $true @ $true)|epred175_3 @ X2069 @ X2068 @ X2067))&(((X2067)!=(X2069)|c_and @ $false @ $true|(c_and @ $true @ $false|c_and @ $true @ $true)|epred175_3 @ X2069 @ X2068 @ X2067)&(c_and @ $false @ $false|c_and @ $false @ $true|(c_and @ $true @ $false|c_and @ $true @ $true)|epred175_3 @ X2069 @ X2068 @ X2067)))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])). 63.62/64.27 thf(c_0_24, plain, ![X76:$o, X77:$o]:(c_and @ X76 @ X77|~epred184_2 @ X76 @ X77), inference(split_conjunct,[status(thm)],[c_0_18])). 63.62/64.27 thf(c_0_25, plain, (epred184_2 @ $true @ $true|c_and @ $true @ $true), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_18])])])). 63.62/64.27 thf(c_0_26, plain, ![X2:$i, X4:$i > $o, X3:$i, X10:$i > $i > $i, X5:$i, X6:$i, X44:$i > $i, X29:$i > $o]:(c_not @ $true|c_and @ $true @ $false|~X4 @ (X44 @ (X44 @ (X10 @ X2 @ X3)))|(X2)!=(X2)|~epred49_8 @ X3 @ X2 @ X5 @ X6 @ X4 @ X44 @ X10 @ X29), inference(split_conjunct,[status(thm)],[c_0_19])). 63.62/64.27 thf(c_0_27, plain, ![X3:$i, X2:$i]:(c_and @ $false @ $false|(X2)=(X3)|c_not @ $true|epred176_3 @ X3 @ $true @ X2), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_20])])])). 63.62/64.27 thf(c_0_28, negated_conjecture, ~c_not @ $true, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])). 63.62/64.27 thf(c_0_29, plain, ![X83:$o]:~c_and @ $false @ X83, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_18])])])). 63.62/64.27 thf(c_0_30, plain, ![X3:$i, X2:$i]:((X2)!=(X3)|~c_and @ $true @ $true|~epred175_3 @ X3 @ $true @ X2), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_23])])])). 63.62/64.27 thf(c_0_31, plain, c_and @ $true @ $true, inference(spm,[status(thm)],[c_0_24, c_0_25])). 63.62/64.27 thf(c_0_32, plain, ![X2:$i, X4:$i > $o, X3:$i, X10:$i > $i > $i, X5:$i, X6:$i, X44:$i > $i, X29:$i > $o]:(X4 @ (X44 @ (X44 @ (X10 @ X2 @ X3)))|epred49_8 @ X3 @ X2 @ X5 @ X6 @ X4 @ X44 @ X10 @ X29|~c_not @ $false|~c_and @ $true @ $true), inference(split_conjunct,[status(thm)],[c_0_19])). 63.62/64.27 thf(c_0_33, plain, ![X287:$i, X2:$i]:(esk10_2 @ X2 @ X287)=(X2), introduced(definition)). 63.62/64.27 thf(c_0_34, plain, ![X235:$i, X4:$i > $o]:(epred1_2 @ X4 @ X235<=>X4 @ X235), introduced(definition)). 63.62/64.27 thf(c_0_35, plain, ![X3:$i, X2:$i]:(c_and @ $false @ $false|(X2)=(X3)|epred175_3 @ X3 @ $false @ X2), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_23])])])). 63.62/64.27 thf(c_0_36, plain, ![X2:$i, X4:$i > $o, X3:$i, X10:$i > $i > $i, X5:$i, X6:$i, X44:$i > $i, X29:$i > $o]:(c_not @ $true|c_and @ $true @ $false|~X4 @ (X44 @ (X44 @ (X10 @ X2 @ X3)))|~epred49_8 @ X3 @ X2 @ X5 @ X6 @ X4 @ X44 @ X10 @ X29), inference(cn,[status(thm)],[c_0_26])). 63.62/64.27 thf(c_0_37, plain, ![X83:$o]:~c_and @ X83 @ $false, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_18])])])). 63.62/64.27 thf(c_0_38, plain, ![X2:$i, X3:$i]:(c_and @ $false @ $true|c_not @ $true|epred176_3 @ X3 @ $true @ X2|(X2)!=(X3)), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_20])])])). 63.62/64.27 thf(c_0_39, plain, ![X3:$i, X2:$i]:((X2)=(X3)|epred176_3 @ X3 @ $true @ X2), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_27, c_0_28]), c_0_29])). 63.62/64.27 thf(c_0_40, plain, ![X2:$i]:~epred175_3 @ X2 @ $true @ X2, inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])])). 63.62/64.27 thf(c_0_41, plain, ![X10:$i > $i > $i, X5:$i, X6:$i, X4:$i > $o, X44:$i > $i, X29:$i > $o, X3:$i, X2:$i]:(epred49_8 @ X2 @ X3 @ X5 @ X6 @ X4 @ X44 @ X10 @ X29|X4 @ (X44 @ (X44 @ (X10 @ X3 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_22]), c_0_31])])). 63.62/64.27 thf(c_0_42, plain, ![X801:$i, X802:$i]:(esk10_2 @ X802 @ X801)=(X802), inference(variable_rename,[status(thm)],[c_0_33])). 63.62/64.27 thf(c_0_43, plain, ![X761:$i, X762:$i > $o]:((~epred1_2 @ X762 @ X761|X762 @ X761)&(~X762 @ X761|epred1_2 @ X762 @ X761)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])). 63.62/64.27 thf(c_0_44, plain, ![X2:$i, X3:$i]:(c_and @ $false @ $true|epred175_3 @ X3 @ $false @ X2|(X2)!=(X3)), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_23])])])). 63.62/64.27 thf(c_0_45, plain, ![X3:$i, X2:$i]:((X2)=(X3)|epred175_3 @ X3 @ $false @ X2), inference(sr,[status(thm)],[c_0_35, c_0_29])). 63.62/64.27 thf(c_0_46, plain, ![X10:$i > $i > $i, X5:$i, X6:$i, X4:$i > $o, X44:$i > $i, X29:$i > $o, X3:$i, X2:$i]:(~epred49_8 @ X2 @ X3 @ X5 @ X6 @ X4 @ X44 @ X10 @ X29|~X4 @ (X44 @ (X44 @ (X10 @ X3 @ X2)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_36, c_0_28]), c_0_37])). 63.62/64.27 thf(c_0_47, plain, ![X2:$i, X3:$i]:epred176_3 @ X2 @ $true @ X3, inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_38, c_0_28]), c_0_29]), c_0_39])). 63.62/64.27 thf(c_0_48, plain, ![X2:$i, X10:$i > $i > $i, X3:$i, X44:$i > $i, X6:$i, X5:$i, X4:$i > $o]:epred49_8 @ X2 @ X3 @ X5 @ X6 @ (epred175_3 @ (X44 @ (X44 @ (X10 @ X3 @ X2))) @ $true) @ X44 @ X10 @ X4, inference(spm,[status(thm)],[c_0_40, c_0_41])). 63.62/64.27 thf(c_0_49, plain, ![X3:$i, X2:$i]:(esk10_2 @ X2 @ X3)=(X2), inference(split_conjunct,[status(thm)],[c_0_42])). 63.62/64.27 thf(c_0_50, plain, ![X4:$i > $o, X2:$i]:(epred1_2 @ X4 @ X2|~X4 @ X2), inference(split_conjunct,[status(thm)],[c_0_43])). 63.62/64.27 thf(c_0_51, plain, ![X2:$i, X3:$i]:epred175_3 @ X2 @ $false @ X3, inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_44, c_0_29]), c_0_45])). 63.62/64.27 thf(c_0_52, plain, ![X8:$i, X2:$i]:(c_Subq @ X8 @ X2<=>![X239:$i]:(c_In @ X239 @ X8=>c_In @ X239 @ X2)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax17])])). 63.62/64.27 thf(c_0_53, plain, ![X10:$i > $i > $i, X2:$i, X3:$i, X6:$i, X44:$i > $i, X7:$i, X5:$i, X4:$i > $o]:~epred49_8 @ X2 @ X3 @ X5 @ X6 @ (epred176_3 @ X7 @ $true) @ X44 @ X10 @ X4, inference(spm,[status(thm)],[c_0_46, c_0_47])). 63.62/64.27 thf(c_0_54, plain, ![X10:$i > $i > $i, X3:$i, X2:$i, X7:$i, X6:$i, X5:$i, X4:$i > $o]:epred49_8 @ X2 @ X3 @ X5 @ X6 @ (epred175_3 @ X7 @ $true) @ (esk10_2 @ X7) @ X10 @ X4, inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_49])). 63.62/64.27 thf(c_0_55, plain, ![X76:$o, X3:$i, X2:$i]:(c_and @ $false @ $false|(X2)=(X3)|c_and @ $true @ $false|(X2)=(X3)|epred175_3 @ X3 @ X76 @ X2), inference(split_conjunct,[status(thm)],[c_0_23])). 63.62/64.27 thf(c_0_56, plain, ![X2:$i, X3:$i]:epred1_2 @ (epred175_3 @ X2 @ $false) @ X3, inference(spm,[status(thm)],[c_0_50, c_0_51])). 63.62/64.27 thf(c_0_57, plain, ![X400:$i, X401:$i, X402:$i, X403:$i, X404:$i]:((~c_Subq @ X400 @ X401|(~c_In @ X402 @ X400|c_In @ X402 @ X401))&((c_In @ (esk19_2 @ X403 @ X404) @ X403|c_Subq @ X403 @ X404)&(~c_In @ (esk19_2 @ X403 @ X404) @ X404|c_Subq @ X403 @ X404))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])])])). 63.62/64.27 thf(c_0_58, plain, ![X2:$i, X3:$i]:(epred175_3 @ X2 @ $true)!=(epred176_3 @ X3 @ $true), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_53, c_0_54])])])])])])])])). 63.62/64.27 thf(c_0_59, plain, ![X76:$o, X3:$i, X2:$i]:((X2)=(X3)|epred175_3 @ X3 @ X76 @ X2|c_and @ $true @ $false|c_and @ $false @ $false), inference(cn,[status(thm)],[c_0_55])). 63.62/64.27 thf(c_0_60, plain, ![X51:$i > $i > $i, X52:$i > $o, X53:$i > $o, X54:$i > $i, X59:$i, X58:$i, X57:$i, X55:$i]:(epred51_8 @ X55 @ X57 @ X58 @ X59 @ X53 @ X54 @ X51 @ X52<=>(![X60:$i]:((X54 @ X59)=(X60)=>(epred50_7 @ X60 @ X57 @ X59 @ X58 @ X53 @ X55 @ X52=>?[X63:$i]:(X57)=(X57)))|((((~X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|~c_not @ $true)&(X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|~c_not @ $false))|c_and @ $false @ $true)&(((~X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|c_not @ $true)&(X53 @ (X54 @ (X54 @ (X51 @ X57 @ X55)))|c_not @ $false))|c_and @ $false @ $false)))), inference(apply_def,[status(thm)],[c_0_8, c_0_9])). 63.62/64.27 thf(c_0_61, plain, ![X10:$i > $i > $i, X2:$i, X3:$i, X6:$i, X44:$i > $i, X7:$i, X5:$i, X4:$i > $o]:~epred49_8 @ X2 @ X3 @ X5 @ X6 @ (epred1_2 @ (epred175_3 @ X7 @ $false)) @ X44 @ X10 @ X4, inference(spm,[status(thm)],[c_0_46, c_0_56])). 63.62/64.27 thf(c_0_62, plain, ![X2:$i, X3:$i]:(c_Subq @ X2 @ X3|~c_In @ (esk19_2 @ X2 @ X3) @ X3), inference(split_conjunct,[status(thm)],[c_0_57])). 63.62/64.27 thf(c_0_63, plain, ![X2:$i, X3:$i]:(c_In @ (esk19_2 @ X2 @ X3) @ X2|c_Subq @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_57])). 63.62/64.27 thf(c_0_64, plain, ![X3:$i, X2:$i]:~epred175_3 @ X2 @ $true @ (esk670_2 @ X3 @ X2), inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_58]), c_0_47])). 63.62/64.27 thf(c_0_65, plain, ![X76:$o, X3:$i, X2:$i]:((X2)=(X3)|epred175_3 @ X3 @ X76 @ X2), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_59, c_0_37]), c_0_29])). 63.62/64.27 thf(c_0_66, plain, ![X1158:$i > $i > $i, X1159:$i > $o, X1160:$i > $o, X1161:$i > $i, X1162:$i, X1163:$i, X1164:$i, X1165:$i, X1166:$i, X1167:$i > $i > $i, X1168:$i > $o, X1169:$i > $o, X1170:$i > $i, X1171:$i, X1172:$i, X1173:$i, X1174:$i]:((((~X1160 @ (X1161 @ (X1161 @ (X1158 @ X1164 @ X1165)))|~c_not @ $true|c_and @ $false @ $true|((X1161 @ X1162)!=(X1166)|(~epred50_7 @ X1166 @ X1164 @ X1162 @ X1163 @ X1160 @ X1165 @ X1159|(X1164)=(X1164)))|~epred51_8 @ X1165 @ X1164 @ X1163 @ X1162 @ X1160 @ X1161 @ X1158 @ X1159)&(X1160 @ (X1161 @ (X1161 @ (X1158 @ X1164 @ X1165)))|~c_not @ $false|c_and @ $false @ $true|((X1161 @ X1162)!=(X1166)|(~epred50_7 @ X1166 @ X1164 @ X1162 @ X1163 @ X1160 @ X1165 @ X1159|(X1164)=(X1164)))|~epred51_8 @ X1165 @ X1164 @ X1163 @ X1162 @ X1160 @ X1161 @ X1158 @ X1159))&((~X1160 @ (X1161 @ (X1161 @ (X1158 @ X1164 @ X1165)))|c_not @ $true|c_and @ $false @ $false|((X1161 @ X1162)!=(X1166)|(~epred50_7 @ X1166 @ X1164 @ X1162 @ X1163 @ X1160 @ X1165 @ X1159|(X1164)=(X1164)))|~epred51_8 @ X1165 @ X1164 @ X1163 @ X1162 @ X1160 @ X1161 @ X1158 @ X1159)&(X1160 @ (X1161 @ (X1161 @ (X1158 @ X1164 @ X1165)))|c_not @ $false|c_and @ $false @ $false|((X1161 @ X1162)!=(X1166)|(~epred50_7 @ X1166 @ X1164 @ X1162 @ X1163 @ X1160 @ X1165 @ X1159|(X1164)=(X1164)))|~epred51_8 @ X1165 @ X1164 @ X1163 @ X1162 @ X1160 @ X1161 @ X1158 @ X1159)))&((((X1170 @ X1171)=(esk109_8 @ X1167 @ X1168 @ X1169 @ X1170 @ X1171 @ X1172 @ X1173 @ X1174)|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)&((epred50_7 @ (esk109_8 @ X1167 @ X1168 @ X1169 @ X1170 @ X1171 @ X1172 @ X1173 @ X1174) @ X1173 @ X1171 @ X1172 @ X1169 @ X1174 @ X1168|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)&((X1173)!=(X1173)|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)))&(((((((~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|(~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174))))|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)&(~c_not @ $false|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|(~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174))))|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168))&((~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|~c_not @ $true|(~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174))))|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)&(~c_not @ $false|~c_not @ $true|(~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174))))|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)))&(~c_and @ $false @ $false|(~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174))))|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168))&((((~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|(c_not @ $false|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174))))|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)&(~c_not @ $false|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|(c_not @ $false|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174))))|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168))&((~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|~c_not @ $true|(c_not @ $false|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174))))|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174))))|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)))&(~c_and @ $false @ $false|(c_not @ $false|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174))))|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)))&(((((~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|(~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|c_not @ $true)|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)&(~c_not @ $false|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|(~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|c_not @ $true)|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168))&((~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|~c_not @ $true|(~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|c_not @ $true)|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)&(~c_not @ $false|~c_not @ $true|(~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|c_not @ $true)|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)))&(~c_and @ $false @ $false|(~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|c_not @ $true)|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168))&((((~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|(c_not @ $false|c_not @ $true)|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)&(~c_not @ $false|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|(c_not @ $false|c_not @ $true)|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168))&((~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_not @ $true)|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)))&(~c_and @ $false @ $false|(c_not @ $false|c_not @ $true)|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168))))&((((~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|~c_and @ $false @ $true|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)&(~c_not @ $false|X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|~c_and @ $false @ $true|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168))&((~X1169 @ (X1170 @ (X1170 @ (X1167 @ X1173 @ X1174)))|~c_not @ $true|~c_and @ $false @ $true|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)&(~c_not @ $false|~c_not @ $true|~c_and @ $false @ $true|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168)))&(~c_and @ $false @ $false|~c_and @ $false @ $true|epred51_8 @ X1174 @ X1173 @ X1172 @ X1171 @ X1169 @ X1170 @ X1167 @ X1168))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_60])])])])])])])). 63.62/64.27 thf(c_0_67, plain, ![X2:$i, X3:$i]:(epred175_3 @ X2 @ $true)!=(epred1_2 @ (epred175_3 @ X3 @ $false)), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_61, c_0_54])])])])])])])])). 63.62/64.27 thf(c_0_68, plain, ![X10:$i > $i > $i, X3:$i, X2:$i, X5:$i, X6:$i, X4:$i > $o, X29:$i > $o, X7:$i]:(~epred49_8 @ X2 @ X3 @ X5 @ X6 @ X4 @ (esk10_2 @ X7) @ X10 @ X29|~X4 @ X7), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_49]), c_0_49])). 63.62/64.27 thf(c_0_69, plain, ![X2:$i]:c_Subq @ X2 @ X2, inference(spm,[status(thm)],[c_0_62, c_0_63])). 63.62/64.27 thf(c_0_70, plain, ![X2:$i, X5:$i, X4:$i > $o, X29:$i > $o, X44:$i > $i, X6:$i, X3:$i]:(epred49_8 @ X2 @ X3 @ X5 @ X6 @ X4 @ X44 @ esk10_2 @ X29|X4 @ (X44 @ (X44 @ X3))), inference(spm,[status(thm)],[c_0_41, c_0_49])). 63.62/64.27 thf(c_0_71, plain, ![X2:$i, X3:$i]:(esk670_2 @ X2 @ X3)=(X3), inference(spm,[status(thm)],[c_0_64, c_0_65])). 63.62/64.27 thf(c_0_72, plain, ![X10:$i > $i > $i, X3:$i, X5:$i, X4:$i > $o, X6:$i, X44:$i > $i, X29:$i > $o, X2:$i]:(epred51_8 @ X3 @ X2 @ X5 @ X6 @ X4 @ X44 @ X10 @ X29|(X2)!=(X2)), inference(split_conjunct,[status(thm)],[c_0_66])). 63.62/64.27 thf(c_0_73, plain, ![X3:$i, X2:$i]:~epred175_3 @ X2 @ $true @ (esk833_2 @ X3 @ X2), inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_67]), c_0_56])). 63.62/64.27 thf(c_0_74, axiom, ((~(?[X131:$i]:c_In @ X131 @ c_Empty)|c_not @ $true)&(?[X131:$i]:c_In @ X131 @ c_Empty|c_not @ $false)), inference(fool_unroll,[status(thm)],[ax5])). 63.62/64.27 thf(c_0_75, plain, ![X10:$i > $i > $i, X3:$i, X2:$i, X7:$i, X6:$i, X5:$i, X4:$i > $o]:~epred49_8 @ X2 @ X3 @ X5 @ X6 @ (c_Subq @ X7) @ (esk10_2 @ X7) @ X10 @ X4, inference(spm,[status(thm)],[c_0_68, c_0_69])). 63.62/64.27 thf(c_0_76, plain, ![X2:$i, X6:$i, X5:$i, X29:$i > $o, X7:$i, X4:$i > $o, X3:$i]:(epred49_8 @ X2 @ X3 @ X5 @ X6 @ X4 @ (esk670_2 @ X7) @ esk10_2 @ X29|X4 @ X3), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_71])). 63.62/64.27 thf(c_0_77, negated_conjecture, ![X2:$i, X4:$i > $o, X3:$i, X10:$i > $i > $i, X6:$i, X7:$i, X5:$i, X44:$i > $i, X29:$i > $o]:((X7)=(X6)|~c_not @ $false|~epred49_8 @ X2 @ X3 @ X5 @ X6 @ X4 @ X44 @ X10 @ X29|~epred51_8 @ X2 @ X3 @ X5 @ X6 @ X4 @ X44 @ X10 @ X29), inference(split_conjunct,[status(thm)],[c_0_15])). 63.62/64.27 thf(c_0_78, plain, ![X10:$i > $i > $i, X3:$i, X5:$i, X4:$i > $o, X6:$i, X2:$i, X44:$i > $i, X29:$i > $o]:epred51_8 @ X3 @ X2 @ X5 @ X6 @ X4 @ X44 @ X10 @ X29, inference(cn,[status(thm)],[c_0_72])). 63.62/64.27 thf(c_0_79, plain, ![X2:$i, X3:$i]:(esk833_2 @ X2 @ X3)=(X3), inference(spm,[status(thm)],[c_0_73, c_0_65])). 63.62/64.27 thf(c_0_80, plain, ![X623:$i]:((~c_In @ X623 @ c_Empty|c_not @ $true)&(c_In @ esk47_0 @ c_Empty|c_not @ $false)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])])])). 63.62/64.27 thf(c_0_81, axiom, ![X201:$i, X2:$i]:((~c_In @ X2 @ (c_Power @ X201)|((~c_Subq @ X2 @ X201|c_iff @ $true @ $true)&(c_Subq @ X2 @ X201|c_iff @ $true @ $false)))&(c_In @ X2 @ (c_Power @ X201)|((~c_Subq @ X2 @ X201|c_iff @ $false @ $true)&(c_Subq @ X2 @ X201|c_iff @ $false @ $false)))), inference(fool_unroll,[status(thm)],[ax7])). 63.62/64.27 thf(c_0_82, plain, ![X5:$i, X3:$i, X2:$i]:(c_Subq @ X2 @ X3|(esk670_2 @ X5)!=(esk10_2 @ X2)), inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_75, c_0_76])])])])])])])])). 63.62/64.27 thf(c_0_83, negated_conjecture, ![X10:$i > $i > $i, X3:$i, X6:$i, X5:$i, X4:$i > $o, X7:$i, X2:$i, X44:$i > $i, X29:$i > $o]:((X2)=(X3)|~epred49_8 @ X5 @ X6 @ X7 @ X2 @ X4 @ X44 @ X10 @ X29), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_22]), c_0_78])])). 63.62/64.27 thf(c_0_84, plain, ![X2:$i, X3:$i, X44:$i > $i, X6:$i, X5:$i, X4:$i > $o]:epred49_8 @ X2 @ X3 @ X5 @ X6 @ (epred175_3 @ (X44 @ (X44 @ X2)) @ $true) @ X44 @ esk833_2 @ X4, inference(spm,[status(thm)],[c_0_48, c_0_79])). 63.62/64.27 thf(c_0_85, plain, ![X2:$i]:(c_not @ $true|~c_In @ X2 @ c_Empty), inference(split_conjunct,[status(thm)],[c_0_80])). 63.62/64.27 thf(c_0_86, axiom, ![X103:$o, X104:$o]:(((~X103|((~X104|c_iff @ $true @ $true)&(X104|c_iff @ $true @ $false)))&(X103|((~X104|c_iff @ $false @ $true)&(X104|c_iff @ $false @ $false))))=>(X103<=>X104)), inference(fool_unroll,[status(thm)],[ax3])). 63.62/64.27 thf(c_0_87, plain, ![X748:$i, X749:$i]:(((~c_Subq @ X749 @ X748|c_iff @ $true @ $true|~c_In @ X749 @ (c_Power @ X748))&(c_Subq @ X749 @ X748|c_iff @ $true @ $false|~c_In @ X749 @ (c_Power @ X748)))&((~c_Subq @ X749 @ X748|c_iff @ $false @ $true|c_In @ X749 @ (c_Power @ X748))&(c_Subq @ X749 @ X748|c_iff @ $false @ $false|c_In @ X749 @ (c_Power @ X748)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_81])])). 63.62/64.27 thf(c_0_88, plain, ![X5:$i, X3:$i, X2:$i]:(c_Subq @ X2 @ X3|(esk718_2 @ X2 @ X5)!=(X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_82]), c_0_71]), c_0_49])). 63.62/64.27 thf(c_0_89, plain, ![X2:$i, X3:$i]:(X2)=(X3), inference(spm,[status(thm)],[c_0_83, c_0_84])). 63.62/64.27 thf(c_0_90, plain, ![X2:$i]:~c_In @ X2 @ c_Empty, inference(sr,[status(thm)],[c_0_85, c_0_28])). 63.62/64.27 thf(c_0_91, plain, ![X559:$o, X560:$o]:((((~X559|X560|(~X559|X559))&(~X560|X559|(~X559|X559)))&((((~X559|X560|(~X560|X560|X559))&(~X560|X559|(~X560|X560|X559)))&((~X559|X560|(~c_iff @ $false @ $false|X560|X559))&(~X560|X559|(~c_iff @ $false @ $false|X560|X559))))&(((~X559|X560|(~X560|~c_iff @ $false @ $true|X559))&(~X560|X559|(~X560|~c_iff @ $false @ $true|X559)))&((~X559|X560|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|X559))&(~X560|X559|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|X559))))))&(((((~X559|X560|(~X559|(~X560|X560)))&(~X560|X559|(~X559|(~X560|X560))))&((((~X559|X560|(~X560|X560|(~X560|X560)))&(~X560|X559|(~X560|X560|(~X560|X560))))&((~X559|X560|(~c_iff @ $false @ $false|X560|(~X560|X560)))&(~X560|X559|(~c_iff @ $false @ $false|X560|(~X560|X560)))))&(((~X559|X560|(~X560|~c_iff @ $false @ $true|(~X560|X560)))&(~X560|X559|(~X560|~c_iff @ $false @ $true|(~X560|X560))))&((~X559|X560|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X560|X560)))&(~X560|X559|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X560|X560)))))))&(((~X559|X560|(~X559|(~c_iff @ $true @ $false|X560)))&(~X560|X559|(~X559|(~c_iff @ $true @ $false|X560))))&((((~X559|X560|(~X560|X560|(~c_iff @ $true @ $false|X560)))&(~X560|X559|(~X560|X560|(~c_iff @ $true @ $false|X560))))&((~X559|X560|(~c_iff @ $false @ $false|X560|(~c_iff @ $true @ $false|X560)))&(~X560|X559|(~c_iff @ $false @ $false|X560|(~c_iff @ $true @ $false|X560)))))&(((~X559|X560|(~X560|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X560)))&(~X560|X559|(~X560|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X560))))&((~X559|X560|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X560)))&(~X560|X559|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X560))))))))&((((~X559|X560|(~X559|(~X560|~c_iff @ $true @ $true)))&(~X560|X559|(~X559|(~X560|~c_iff @ $true @ $true))))&((((~X559|X560|(~X560|X560|(~X560|~c_iff @ $true @ $true)))&(~X560|X559|(~X560|X560|(~X560|~c_iff @ $true @ $true))))&((~X559|X560|(~c_iff @ $false @ $false|X560|(~X560|~c_iff @ $true @ $true)))&(~X560|X559|(~c_iff @ $false @ $false|X560|(~X560|~c_iff @ $true @ $true)))))&(((~X559|X560|(~X560|~c_iff @ $false @ $true|(~X560|~c_iff @ $true @ $true)))&(~X560|X559|(~X560|~c_iff @ $false @ $true|(~X560|~c_iff @ $true @ $true))))&((~X559|X560|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X560|~c_iff @ $true @ $true)))&(~X560|X559|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X560|~c_iff @ $true @ $true)))))))&(((~X559|X560|(~X559|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X560|X559|(~X559|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((((~X559|X560|(~X560|X560|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X560|X559|(~X560|X560|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((~X559|X560|(~c_iff @ $false @ $false|X560|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X560|X559|(~c_iff @ $false @ $false|X560|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))))&(((~X559|X560|(~X560|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X560|X559|(~X560|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((~X559|X560|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X560|X559|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])])])). 63.62/64.27 thf(c_0_92, plain, ![X2:$i, X3:$i]:(c_iff @ $false @ $true|c_In @ X2 @ (c_Power @ X3)|~c_Subq @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_87])). 63.62/64.27 thf(c_0_93, plain, ![X2:$i, X3:$i]:c_Subq @ X2 @ X3, inference(sr,[status(thm)],[c_0_88, c_0_89])). 63.62/64.27 thf(c_0_94, plain, ![X2:$i, X3:$i]:~c_In @ X2 @ X3, inference(spm,[status(thm)],[c_0_90, c_0_89])). 63.62/64.27 thf(c_0_95, plain, ~c_iff @ $false @ $true, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_91])])])). 63.62/64.27 thf(c_0_96, plain, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92, c_0_93])]), c_0_94]), c_0_95]), ['proof']). 63.62/64.27 # SZS output end CNFRefutation 63.62/64.27 # Proof object total steps : 97 63.62/64.27 # Proof object clause steps : 61 63.62/64.27 # Proof object formula steps : 36 63.62/64.27 # Proof object conjectures : 7 63.62/64.27 # Proof object clause conjectures : 4 63.62/64.27 # Proof object formula conjectures : 3 63.62/64.27 # Proof object initial clauses used : 23 63.62/64.27 # Proof object initial formulas used : 7 63.62/64.27 # Proof object generating inferences : 16 63.62/64.27 # Proof object simplifying inferences : 70 63.62/64.27 # Training examples: 0 positive, 0 negative 63.62/64.27 # Parsed axioms : 213 63.62/64.27 # Removed by relevancy pruning/SinE : 0 63.62/64.27 # Initial clauses : 7472 63.62/64.27 # Removed in clause preprocessing : 2434 63.62/64.27 # Initial clauses in saturation : 5038 63.62/64.27 # Processed clauses : 46244 63.62/64.27 # ...of these trivial : 4203 63.62/64.27 # ...subsumed : 30788 63.62/64.27 # ...remaining for further processing : 11252 63.62/64.27 # Other redundant clauses eliminated : 60234 63.62/64.27 # Clauses deleted for lack of memory : 0 63.62/64.27 # Backward-subsumed : 1409 63.62/64.27 # Backward-rewritten : 1675 63.62/64.27 # Generated clauses : 643121 63.62/64.27 # ...of the previous two non-trivial : 437306 63.62/64.27 # Contextual simplify-reflections : 26 63.62/64.27 # Paramodulations : 475816 63.62/64.27 # Factorizations : 0 63.62/64.27 # NegExts : 2041 63.62/64.27 # Equation resolutions : 60249 63.62/64.27 # Propositional unsat checks : 0 63.62/64.27 # Propositional check models : 0 63.62/64.27 # Propositional check unsatisfiable : 0 63.62/64.27 # Propositional clauses : 0 63.62/64.27 # Propositional clauses after purity: 0 63.62/64.27 # Propositional unsat core size : 0 63.62/64.27 # Propositional preprocessing time : 0.000 63.62/64.27 # Propositional encoding time : 0.000 63.62/64.27 # Propositional solver time : 0.000 63.62/64.27 # Success case prop preproc time : 0.000 63.62/64.27 # Success case prop encoding time : 0.000 63.62/64.27 # Success case prop solver time : 0.000 63.62/64.27 # Current number of processed clauses : 7940 63.62/64.27 # Positive orientable unit clauses : 1467 63.62/64.27 # Positive unorientable unit clauses: 1 63.62/64.27 # Negative unit clauses : 1773 63.62/64.27 # Non-unit-clauses : 4699 63.62/64.27 # Current number of unprocessed clauses: 384120 63.62/64.27 # ...number of literals in the above : 858117 63.62/64.27 # Current number of archived formulas : 0 63.62/64.27 # Current number of archived clauses : 3300 63.62/64.27 # Clause-clause subsumption calls (NU) : 10286031 63.62/64.27 # Rec. Clause-clause subsumption calls : 6118495 63.62/64.27 # Non-unit clause-clause subsumptions : 24290 63.62/64.27 # Unit Clause-clause subsumption calls : 1895323 63.62/64.27 # Rewrite failures with RHS unbound : 5607 63.62/64.27 # BW rewrite match attempts : 65278 63.62/64.27 # BW rewrite match successes : 2465 63.62/64.27 # Condensation attempts : 0 63.62/64.27 # Condensation successes : 0 63.62/64.27 # Termbank termtop insertions : 5744260 63.71/64.28 63.71/64.28 # ------------------------------------------------- 63.71/64.28 # User time : 62.403 s 63.71/64.28 # System time : 1.158 s 63.71/64.28 # Total time : 63.561 s 63.71/64.28 # Maximum resident set size: 2028 pages 63.71/64.29 EOF