0.12/0.12 % 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 0.13/0.36 % Computer : n029.cluster.edu 0.13/0.36 % Model : x86_64 x86_64 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.36 % Memory : 8042.1875MB 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.36 % CPULimit : 1200 0.13/0.36 % WCLimit : 120 0.13/0.36 % DateTime : Tue Jul 13 16:16:40 EDT 2021 0.13/0.36 % CPUTime : 0.13/0.36 % Number of cores: 8 0.13/0.36 % Python version: Python 3.6.8 0.13/0.36 # Version: 2.6rc1-ho 0.13/0.37 # No SInE strategy applied 0.13/0.37 # Trying AutoSched0 for 59 seconds 1.48/1.68 # AutoSched0-Mode selected heuristic SAT001_MinMin_x000000_rr 1.48/1.68 # and selection function SelectMaxLComplexAvoidPosPred. 1.48/1.68 # 1.48/1.68 # Preprocessing time : 0.279 s 1.48/1.68 # Presaturation interreduction done 1.48/1.68 1.48/1.68 # Proof found! 1.48/1.68 # SZS status Theorem 1.48/1.68 # SZS output start CNFRefutation 1.48/1.68 thf(conj, conjecture, c_not @ (![X167:$i > $i > $o, X168:$i > $i > $i, X169:$i > $o, X5:$i > $o, X170:$i > $i, X171:$i, X23:$i, X172:$i]:(X170 @ (X168 @ (X168 @ (X168 @ (X168 @ (X168 @ (X168 @ X23 @ X171) @ (X168 @ (X168 @ (X168 @ X23 @ X171) @ (X168 @ X172 @ (X168 @ (X168 @ (X168 @ X171 @ X171) @ (X168 @ (X168 @ (X168 @ (X168 @ X171 @ (X168 @ (X168 @ X23 @ (X168 @ X171 @ (X168 @ X171 @ X172))) @ X171)) @ X172) @ (X168 @ (X170 @ X23) @ X172)) @ (X168 @ (X168 @ (X168 @ (X168 @ X171 @ (X170 @ (X168 @ X172 @ X171))) @ (X168 @ X23 @ X23)) @ (X168 @ X23 @ (X168 @ X172 @ X171))) @ X171))) @ X172))) @ X171)) @ X23) @ (X168 @ X23 @ (X168 @ X171 @ (X168 @ (X168 @ (X170 @ X171) @ (X168 @ (X168 @ X23 @ X23) @ X23)) @ X171)))) @ (X170 @ (X170 @ X23))) @ X171))=(X170 @ (X170 @ X172))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj)). 1.48/1.68 thf(ax13, axiom, (c_not)=(^[X154:$o]:(c_False<=X154)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax13)). 1.48/1.68 thf(ax7, axiom, ![X1:$i, X2:$i]:c_iff @ (c_In @ X2 @ (c_Power @ X1)) @ (c_Subq @ X2 @ X1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax7)). 1.48/1.68 thf(ax3, axiom, ![X96:$o, X97:$o]:(c_iff @ (X96) @ (X97)=>(X96<=>X97)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax3)). 1.48/1.68 thf(ax14, axiom, (c_and)=(^[X177:$o, X178:$o]:![X179:$o]:(((X178=>X179)<=X177)=>X179)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax14)). 1.48/1.68 thf(ax17, axiom, (c_Subq)=(^[X1:$i, X2:$i]:![X4:$i]:(c_In @ X4 @ X2<=c_In @ X4 @ X1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax17)). 1.48/1.68 thf(ax2, axiom, ![X66:$o]:(X66<=c_not @ (c_not @ (X66))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax2)). 1.48/1.68 thf(ax30, axiom, (c_irreflexive_i)=(^[X141:$i > $i > $o]:![X2:$i]:c_not @ (X141 @ X2 @ X2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax30)). 1.48/1.68 thf(ax5, axiom, c_not @ (?[X1:$i]:c_In @ X1 @ c_Empty), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax5)). 1.48/1.68 thf(ax4, axiom, ![X1:$i, X2:$i]:(c_Subq @ X1 @ X2=>(c_Subq @ X2 @ X1=>(X1)=(X2))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax4)). 1.48/1.68 thf(ax33, axiom, (c_transitive_i)=(^[X15:$i > $i > $o]:![X2:$i, X4:$i, X16:$i]:(X15 @ X2 @ X4=>(X15 @ X2 @ X16<=X15 @ X4 @ X16))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax33)). 1.48/1.68 thf(c_0_11, negated_conjecture, ~(((~(![X167:$i > $i > $o, X168:$i > $i > $i, X169:$i > $o, X5:$i > $o, X170:$i > $i, X171:$i, X23:$i, X172:$i]:(X170 @ (X168 @ (X168 @ (X168 @ (X168 @ (X168 @ (X168 @ X23 @ X171) @ (X168 @ (X168 @ (X168 @ X23 @ X171) @ (X168 @ X172 @ (X168 @ (X168 @ (X168 @ X171 @ X171) @ (X168 @ (X168 @ (X168 @ (X168 @ X171 @ (X168 @ (X168 @ X23 @ (X168 @ X171 @ (X168 @ X171 @ X172))) @ X171)) @ X172) @ (X168 @ (X170 @ X23) @ X172)) @ (X168 @ (X168 @ (X168 @ (X168 @ X171 @ (X170 @ (X168 @ X172 @ X171))) @ (X168 @ X23 @ X23)) @ (X168 @ X23 @ (X168 @ X172 @ X171))) @ X171))) @ X172))) @ X171)) @ X23) @ (X168 @ X23 @ (X168 @ X171 @ (X168 @ (X168 @ (X170 @ X171) @ (X168 @ (X168 @ X23 @ X23) @ X23)) @ X171)))) @ (X170 @ (X170 @ X23))) @ X171))=(X170 @ (X170 @ X172)))|c_not @ $true)&(![X167:$i > $i > $o, X168:$i > $i > $i, X169:$i > $o, X5:$i > $o, X170:$i > $i, X171:$i, X23:$i, X172:$i]:(X170 @ (X168 @ (X168 @ (X168 @ (X168 @ (X168 @ (X168 @ X23 @ X171) @ (X168 @ (X168 @ (X168 @ X23 @ X171) @ (X168 @ X172 @ (X168 @ (X168 @ (X168 @ X171 @ X171) @ (X168 @ (X168 @ (X168 @ (X168 @ X171 @ (X168 @ (X168 @ X23 @ (X168 @ X171 @ (X168 @ X171 @ X172))) @ X171)) @ X172) @ (X168 @ (X170 @ X23) @ X172)) @ (X168 @ (X168 @ (X168 @ (X168 @ X171 @ (X170 @ (X168 @ X172 @ X171))) @ (X168 @ X23 @ X23)) @ (X168 @ X23 @ (X168 @ X172 @ X171))) @ X171))) @ X172))) @ X171)) @ X23) @ (X168 @ X23 @ (X168 @ X171 @ (X168 @ (X168 @ (X170 @ X171) @ (X168 @ (X168 @ X23 @ X23) @ X23)) @ X171)))) @ (X170 @ (X170 @ X23))) @ X171))=(X170 @ (X170 @ X172))|c_not @ $false))), inference(fool_unroll,[status(thm)],[inference(assume_negation,[status(cth)],[conj])])). 1.48/1.68 thf(c_0_12, plain, ![X154:$o]:(c_not @ X154<=>(X154=>c_False)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])])). 1.48/1.68 thf(c_0_13, axiom, ![X1:$i, X2:$i]:((~c_In @ X2 @ (c_Power @ X1)|((~c_Subq @ X2 @ X1|c_iff @ $true @ $true)&(c_Subq @ X2 @ X1|c_iff @ $true @ $false)))&(c_In @ X2 @ (c_Power @ X1)|((~c_Subq @ X2 @ X1|c_iff @ $false @ $true)&(c_Subq @ X2 @ X1|c_iff @ $false @ $false)))), inference(fool_unroll,[status(thm)],[ax7])). 1.48/1.68 thf(c_0_14, axiom, ![X96:$o, X97:$o]:(((~X96|((~X97|c_iff @ $true @ $true)&(X97|c_iff @ $true @ $false)))&(X96|((~X97|c_iff @ $false @ $true)&(X97|c_iff @ $false @ $false))))=>(X96<=>X97)), inference(fool_unroll,[status(thm)],[ax3])). 1.48/1.68 thf(c_0_15, negated_conjecture, ![X742:$i > $i > $i, X743:$i > $i, X744:$i, X745:$i, X746:$i]:((((esk70_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ esk72_0 @ esk71_0) @ (esk69_0 @ (esk69_0 @ (esk69_0 @ esk72_0 @ esk71_0) @ (esk69_0 @ esk73_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ esk71_0 @ esk71_0) @ (esk69_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ esk71_0 @ (esk69_0 @ (esk69_0 @ esk72_0 @ (esk69_0 @ esk71_0 @ (esk69_0 @ esk71_0 @ esk73_0))) @ esk71_0)) @ esk73_0) @ (esk69_0 @ (esk70_0 @ esk72_0) @ esk73_0)) @ (esk69_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ esk71_0 @ (esk70_0 @ (esk69_0 @ esk73_0 @ esk71_0))) @ (esk69_0 @ esk72_0 @ esk72_0)) @ (esk69_0 @ esk72_0 @ (esk69_0 @ esk73_0 @ esk71_0))) @ esk71_0))) @ esk73_0))) @ esk71_0)) @ esk72_0) @ (esk69_0 @ esk72_0 @ (esk69_0 @ esk71_0 @ (esk69_0 @ (esk69_0 @ (esk70_0 @ esk71_0) @ (esk69_0 @ (esk69_0 @ esk72_0 @ esk72_0) @ esk72_0)) @ esk71_0)))) @ (esk70_0 @ (esk70_0 @ esk72_0))) @ esk71_0))!=(esk70_0 @ (esk70_0 @ esk73_0))|(X743 @ (X742 @ (X742 @ (X742 @ (X742 @ (X742 @ (X742 @ X745 @ X744) @ (X742 @ (X742 @ (X742 @ X745 @ X744) @ (X742 @ X746 @ (X742 @ (X742 @ (X742 @ X744 @ X744) @ (X742 @ (X742 @ (X742 @ (X742 @ X744 @ (X742 @ (X742 @ X745 @ (X742 @ X744 @ (X742 @ X744 @ X746))) @ X744)) @ X746) @ (X742 @ (X743 @ X745) @ X746)) @ (X742 @ (X742 @ (X742 @ (X742 @ X744 @ (X743 @ (X742 @ X746 @ X744))) @ (X742 @ X745 @ X745)) @ (X742 @ X745 @ (X742 @ X746 @ X744))) @ X744))) @ X746))) @ X744)) @ X745) @ (X742 @ X745 @ (X742 @ X744 @ (X742 @ (X742 @ (X743 @ X744) @ (X742 @ (X742 @ X745 @ X745) @ X745)) @ X744)))) @ (X743 @ (X743 @ X745))) @ X744))=(X743 @ (X743 @ X746)))&(~c_not @ $false|(X743 @ (X742 @ (X742 @ (X742 @ (X742 @ (X742 @ (X742 @ X745 @ X744) @ (X742 @ (X742 @ (X742 @ X745 @ X744) @ (X742 @ X746 @ (X742 @ (X742 @ (X742 @ X744 @ X744) @ (X742 @ (X742 @ (X742 @ (X742 @ X744 @ (X742 @ (X742 @ X745 @ (X742 @ X744 @ (X742 @ X744 @ X746))) @ X744)) @ X746) @ (X742 @ (X743 @ X745) @ X746)) @ (X742 @ (X742 @ (X742 @ (X742 @ X744 @ (X743 @ (X742 @ X746 @ X744))) @ (X742 @ X745 @ X745)) @ (X742 @ X745 @ (X742 @ X746 @ X744))) @ X744))) @ X746))) @ X744)) @ X745) @ (X742 @ X745 @ (X742 @ X744 @ (X742 @ (X742 @ (X743 @ X744) @ (X742 @ (X742 @ X745 @ X745) @ X745)) @ X744)))) @ (X743 @ (X743 @ X745))) @ X744))=(X743 @ (X743 @ X746))))&(((esk70_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ esk72_0 @ esk71_0) @ (esk69_0 @ (esk69_0 @ (esk69_0 @ esk72_0 @ esk71_0) @ (esk69_0 @ esk73_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ esk71_0 @ esk71_0) @ (esk69_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ esk71_0 @ (esk69_0 @ (esk69_0 @ esk72_0 @ (esk69_0 @ esk71_0 @ (esk69_0 @ esk71_0 @ esk73_0))) @ esk71_0)) @ esk73_0) @ (esk69_0 @ (esk70_0 @ esk72_0) @ esk73_0)) @ (esk69_0 @ (esk69_0 @ (esk69_0 @ (esk69_0 @ esk71_0 @ (esk70_0 @ (esk69_0 @ esk73_0 @ esk71_0))) @ (esk69_0 @ esk72_0 @ esk72_0)) @ (esk69_0 @ esk72_0 @ (esk69_0 @ esk73_0 @ esk71_0))) @ esk71_0))) @ esk73_0))) @ esk71_0)) @ esk72_0) @ (esk69_0 @ esk72_0 @ (esk69_0 @ esk71_0 @ (esk69_0 @ (esk69_0 @ (esk70_0 @ esk71_0) @ (esk69_0 @ (esk69_0 @ esk72_0 @ esk72_0) @ esk72_0)) @ esk71_0)))) @ (esk70_0 @ (esk70_0 @ esk72_0))) @ esk71_0))!=(esk70_0 @ (esk70_0 @ esk73_0))|~c_not @ $true)&(~c_not @ $false|~c_not @ $true))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11])])])])])])). 1.48/1.68 thf(c_0_16, plain, ![X713:$o]:((~c_not @ X713|(~X713|c_False))&((X713|c_not @ X713)&(~c_False|c_not @ X713))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])). 1.48/1.68 thf(c_0_17, plain, ![X232:$i, X2:$i]:(esk5_2 @ X2 @ X232)=(X2), introduced(definition)). 1.48/1.68 thf(c_0_18, plain, ![X756:$i, X757:$i]:(((~c_Subq @ X757 @ X756|c_iff @ $true @ $true|~c_In @ X757 @ (c_Power @ X756))&(c_Subq @ X757 @ X756|c_iff @ $true @ $false|~c_In @ X757 @ (c_Power @ X756)))&((~c_Subq @ X757 @ X756|c_iff @ $false @ $true|c_In @ X757 @ (c_Power @ X756))&(c_Subq @ X757 @ X756|c_iff @ $false @ $false|c_In @ X757 @ (c_Power @ X756)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_13])])). 1.48/1.68 thf(c_0_19, plain, ![X596:$o, X597:$o]:((((~X596|X597|(~X596|X596))&(~X597|X596|(~X596|X596)))&((((~X596|X597|(~X597|X597|X596))&(~X597|X596|(~X597|X597|X596)))&((~X596|X597|(~c_iff @ $false @ $false|X597|X596))&(~X597|X596|(~c_iff @ $false @ $false|X597|X596))))&(((~X596|X597|(~X597|~c_iff @ $false @ $true|X596))&(~X597|X596|(~X597|~c_iff @ $false @ $true|X596)))&((~X596|X597|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|X596))&(~X597|X596|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|X596))))))&(((((~X596|X597|(~X596|(~X597|X597)))&(~X597|X596|(~X596|(~X597|X597))))&((((~X596|X597|(~X597|X597|(~X597|X597)))&(~X597|X596|(~X597|X597|(~X597|X597))))&((~X596|X597|(~c_iff @ $false @ $false|X597|(~X597|X597)))&(~X597|X596|(~c_iff @ $false @ $false|X597|(~X597|X597)))))&(((~X596|X597|(~X597|~c_iff @ $false @ $true|(~X597|X597)))&(~X597|X596|(~X597|~c_iff @ $false @ $true|(~X597|X597))))&((~X596|X597|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X597|X597)))&(~X597|X596|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X597|X597)))))))&(((~X596|X597|(~X596|(~c_iff @ $true @ $false|X597)))&(~X597|X596|(~X596|(~c_iff @ $true @ $false|X597))))&((((~X596|X597|(~X597|X597|(~c_iff @ $true @ $false|X597)))&(~X597|X596|(~X597|X597|(~c_iff @ $true @ $false|X597))))&((~X596|X597|(~c_iff @ $false @ $false|X597|(~c_iff @ $true @ $false|X597)))&(~X597|X596|(~c_iff @ $false @ $false|X597|(~c_iff @ $true @ $false|X597)))))&(((~X596|X597|(~X597|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X597)))&(~X597|X596|(~X597|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X597))))&((~X596|X597|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X597)))&(~X597|X596|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|X597))))))))&((((~X596|X597|(~X596|(~X597|~c_iff @ $true @ $true)))&(~X597|X596|(~X596|(~X597|~c_iff @ $true @ $true))))&((((~X596|X597|(~X597|X597|(~X597|~c_iff @ $true @ $true)))&(~X597|X596|(~X597|X597|(~X597|~c_iff @ $true @ $true))))&((~X596|X597|(~c_iff @ $false @ $false|X597|(~X597|~c_iff @ $true @ $true)))&(~X597|X596|(~c_iff @ $false @ $false|X597|(~X597|~c_iff @ $true @ $true)))))&(((~X596|X597|(~X597|~c_iff @ $false @ $true|(~X597|~c_iff @ $true @ $true)))&(~X597|X596|(~X597|~c_iff @ $false @ $true|(~X597|~c_iff @ $true @ $true))))&((~X596|X597|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X597|~c_iff @ $true @ $true)))&(~X597|X596|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~X597|~c_iff @ $true @ $true)))))))&(((~X596|X597|(~X596|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X597|X596|(~X596|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((((~X596|X597|(~X597|X597|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X597|X596|(~X597|X597|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((~X596|X597|(~c_iff @ $false @ $false|X597|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X597|X596|(~c_iff @ $false @ $false|X597|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))))&(((~X596|X597|(~X597|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X597|X596|(~X597|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true))))&((~X596|X597|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))&(~X597|X596|(~c_iff @ $false @ $false|~c_iff @ $false @ $true|(~c_iff @ $true @ $false|~c_iff @ $true @ $true)))))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])). 1.48/1.68 thf(c_0_20, negated_conjecture, ![X1:$i, X2:$i, X33:$i > $i > $i, X6:$i > $i, X4:$i]:((X6 @ (X33 @ (X33 @ (X33 @ (X33 @ (X33 @ (X33 @ X1 @ X2) @ (X33 @ (X33 @ (X33 @ X1 @ X2) @ (X33 @ X4 @ (X33 @ (X33 @ (X33 @ X2 @ X2) @ (X33 @ (X33 @ (X33 @ (X33 @ X2 @ (X33 @ (X33 @ X1 @ (X33 @ X2 @ (X33 @ X2 @ X4))) @ X2)) @ X4) @ (X33 @ (X6 @ X1) @ X4)) @ (X33 @ (X33 @ (X33 @ (X33 @ X2 @ (X6 @ (X33 @ X4 @ X2))) @ (X33 @ X1 @ X1)) @ (X33 @ X1 @ (X33 @ X4 @ X2))) @ X2))) @ X4))) @ X2)) @ X1) @ (X33 @ X1 @ (X33 @ X2 @ (X33 @ (X33 @ (X6 @ X2) @ (X33 @ (X33 @ X1 @ X1) @ X1)) @ X2)))) @ (X6 @ (X6 @ X1))) @ X2))=(X6 @ (X6 @ X4))|~c_not @ $false), inference(split_conjunct,[status(thm)],[c_0_15])). 1.48/1.68 thf(c_0_21, plain, c_not @ $false, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_16])])])). 1.48/1.68 thf(c_0_22, plain, ![X783:$i, X784:$i]:(esk5_2 @ X784 @ X783)=(X784), inference(variable_rename,[status(thm)],[c_0_17])). 1.48/1.68 thf(c_0_23, plain, ![X1:$i, X2:$i]:(c_Subq @ X1 @ X2|c_iff @ $true @ $false|~c_In @ X1 @ (c_Power @ X2)), inference(split_conjunct,[status(thm)],[c_0_18])). 1.48/1.68 thf(c_0_24, plain, ~c_iff @ $true @ $false, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_19])])])). 1.48/1.68 thf(c_0_25, negated_conjecture, ![X1:$i, X2:$i, X33:$i > $i > $i, X6:$i > $i, X4:$i]:(X6 @ (X33 @ (X33 @ (X33 @ (X33 @ (X33 @ (X33 @ X1 @ X2) @ (X33 @ (X33 @ (X33 @ X1 @ X2) @ (X33 @ X4 @ (X33 @ (X33 @ (X33 @ X2 @ X2) @ (X33 @ (X33 @ (X33 @ (X33 @ X2 @ (X33 @ (X33 @ X1 @ (X33 @ X2 @ (X33 @ X2 @ X4))) @ X2)) @ X4) @ (X33 @ (X6 @ X1) @ X4)) @ (X33 @ (X33 @ (X33 @ (X33 @ X2 @ (X6 @ (X33 @ X4 @ X2))) @ (X33 @ X1 @ X1)) @ (X33 @ X1 @ (X33 @ X4 @ X2))) @ X2))) @ X4))) @ X2)) @ X1) @ (X33 @ X1 @ (X33 @ X2 @ (X33 @ (X33 @ (X6 @ X2) @ (X33 @ (X33 @ X1 @ X1) @ X1)) @ X2)))) @ (X6 @ (X6 @ X1))) @ X2))=(X6 @ (X6 @ X4)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])). 1.48/1.68 thf(c_0_26, plain, ![X2:$i, X1:$i]:(esk5_2 @ X1 @ X2)=(X1), inference(split_conjunct,[status(thm)],[c_0_22])). 1.48/1.68 thf(c_0_27, plain, ![X180:$i > $i > $o]:(epred168_1 @ X180<=>((~c_irreflexive_i @ X180|((~c_transitive_i @ X180|c_and @ $true @ $true)&(c_transitive_i @ X180|c_and @ $true @ $false)))&(c_irreflexive_i @ X180|((~c_transitive_i @ X180|c_and @ $false @ $true)&(c_transitive_i @ X180|c_and @ $false @ $false))))), introduced(definition)). 1.48/1.68 thf(c_0_28, plain, ![X177:$o, X178:$o]:(c_and @ X177 @ X178<=>![X385:$o]:((X177=>(X178=>X385))=>X385)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])])). 1.48/1.68 thf(c_0_29, plain, ![X1:$i, X2:$i]:(c_Subq @ X1 @ X2|~c_In @ X1 @ (c_Power @ X2)), inference(sr,[status(thm)],[c_0_23, c_0_24])). 1.48/1.68 thf(c_0_30, plain, ![X1:$i, X6:$i > $i, X2:$i]:(X6 @ X1)=(X6 @ (X6 @ X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26]), c_0_26])). 1.48/1.68 thf(c_0_31, plain, ![X1:$i, X2:$i]:(c_Subq @ X1 @ X2<=>![X277:$i]:(c_In @ X277 @ X1=>c_In @ X277 @ X2)), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax17])])). 1.48/1.68 thf(c_0_32, plain, ![X66:$o]:(((((~X66|~c_not @ $true)&(X66|~c_not @ $false))|c_not @ $true)&(((~X66|c_not @ $true)&(X66|c_not @ $false))|c_not @ $false))=>X66), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax2])])). 1.48/1.68 thf(c_0_33, plain, ![X1959:$i > $i > $o]:((((~c_transitive_i @ X1959|c_and @ $true @ $true|~c_irreflexive_i @ X1959|~epred168_1 @ X1959)&(c_transitive_i @ X1959|c_and @ $true @ $false|~c_irreflexive_i @ X1959|~epred168_1 @ X1959))&((~c_transitive_i @ X1959|c_and @ $false @ $true|c_irreflexive_i @ X1959|~epred168_1 @ X1959)&(c_transitive_i @ X1959|c_and @ $false @ $false|c_irreflexive_i @ X1959|~epred168_1 @ X1959)))&(((~c_irreflexive_i @ X1959|c_irreflexive_i @ X1959|epred168_1 @ X1959)&(((~c_transitive_i @ X1959|c_transitive_i @ X1959|c_irreflexive_i @ X1959|epred168_1 @ X1959)&(~c_and @ $false @ $false|c_transitive_i @ X1959|c_irreflexive_i @ X1959|epred168_1 @ X1959))&((~c_transitive_i @ X1959|~c_and @ $false @ $true|c_irreflexive_i @ X1959|epred168_1 @ X1959)&(~c_and @ $false @ $false|~c_and @ $false @ $true|c_irreflexive_i @ X1959|epred168_1 @ X1959))))&((((~c_irreflexive_i @ X1959|(~c_transitive_i @ X1959|c_transitive_i @ X1959)|epred168_1 @ X1959)&(((~c_transitive_i @ X1959|c_transitive_i @ X1959|(~c_transitive_i @ X1959|c_transitive_i @ X1959)|epred168_1 @ X1959)&(~c_and @ $false @ $false|c_transitive_i @ X1959|(~c_transitive_i @ X1959|c_transitive_i @ X1959)|epred168_1 @ X1959))&((~c_transitive_i @ X1959|~c_and @ $false @ $true|(~c_transitive_i @ X1959|c_transitive_i @ X1959)|epred168_1 @ X1959)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_transitive_i @ X1959|c_transitive_i @ X1959)|epred168_1 @ X1959))))&((~c_irreflexive_i @ X1959|(~c_and @ $true @ $false|c_transitive_i @ X1959)|epred168_1 @ X1959)&(((~c_transitive_i @ X1959|c_transitive_i @ X1959|(~c_and @ $true @ $false|c_transitive_i @ X1959)|epred168_1 @ X1959)&(~c_and @ $false @ $false|c_transitive_i @ X1959|(~c_and @ $true @ $false|c_transitive_i @ X1959)|epred168_1 @ X1959))&((~c_transitive_i @ X1959|~c_and @ $false @ $true|(~c_and @ $true @ $false|c_transitive_i @ X1959)|epred168_1 @ X1959)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_and @ $true @ $false|c_transitive_i @ X1959)|epred168_1 @ X1959)))))&(((~c_irreflexive_i @ X1959|(~c_transitive_i @ X1959|~c_and @ $true @ $true)|epred168_1 @ X1959)&(((~c_transitive_i @ X1959|c_transitive_i @ X1959|(~c_transitive_i @ X1959|~c_and @ $true @ $true)|epred168_1 @ X1959)&(~c_and @ $false @ $false|c_transitive_i @ X1959|(~c_transitive_i @ X1959|~c_and @ $true @ $true)|epred168_1 @ X1959))&((~c_transitive_i @ X1959|~c_and @ $false @ $true|(~c_transitive_i @ X1959|~c_and @ $true @ $true)|epred168_1 @ X1959)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_transitive_i @ X1959|~c_and @ $true @ $true)|epred168_1 @ X1959))))&((~c_irreflexive_i @ X1959|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred168_1 @ X1959)&(((~c_transitive_i @ X1959|c_transitive_i @ X1959|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred168_1 @ X1959)&(~c_and @ $false @ $false|c_transitive_i @ X1959|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred168_1 @ X1959))&((~c_transitive_i @ X1959|~c_and @ $false @ $true|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred168_1 @ X1959)&(~c_and @ $false @ $false|~c_and @ $false @ $true|(~c_and @ $true @ $false|~c_and @ $true @ $true)|epred168_1 @ X1959)))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])). 1.48/1.68 thf(c_0_34, plain, ![X762:$o, X763:$o, X764:$o, X765:$o, X766:$o]:(((X762|X764|~c_and @ X762 @ X763)&((X763|X764|~c_and @ X762 @ X763)&(~X764|X764|~c_and @ X762 @ X763)))&((~X765|(~X766|epred183_2 @ X765 @ X766)|c_and @ X765 @ X766)&(~epred183_2 @ X765 @ X766|c_and @ X765 @ X766))), 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_28])])])])])])). 1.48/1.68 thf(c_0_35, plain, ![X1:$i, X2:$i, X4:$i]:(c_Subq @ X1 @ X2|~c_In @ X1 @ (c_Power @ (c_Power @ X4))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 1.48/1.68 thf(c_0_36, plain, ![X1:$i, X2:$i]:(c_iff @ $false @ $true|c_In @ X1 @ (c_Power @ X2)|~c_Subq @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_18])). 1.48/1.68 thf(c_0_37, plain, ~c_iff @ $false @ $true, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_19])])])). 1.48/1.68 thf(c_0_38, plain, ![X570:$i, X571:$i, X572:$i, X573:$i, X574:$i]:((~c_Subq @ X570 @ X571|(~c_In @ X572 @ X570|c_In @ X572 @ X571))&((c_In @ (esk37_2 @ X573 @ X574) @ X573|c_Subq @ X573 @ X574)&(~c_In @ (esk37_2 @ X573 @ X574) @ X574|c_Subq @ X573 @ X574))), 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_31])])])])])])). 1.48/1.68 thf(c_0_39, plain, ![X141:$i > $i > $o]:(c_irreflexive_i @ X141<=>![X327:$i]:((~X141 @ X327 @ X327|c_not @ $true)&(X141 @ X327 @ X327|c_not @ $false))), inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[ax30])])). 1.48/1.68 thf(c_0_40, plain, ![X506:$o]:(((((((~X506|X506|(~X506|X506)|X506)&(~c_not @ $false|X506|(~X506|X506)|X506))&((~X506|~c_not @ $true|(~X506|X506)|X506)&(~c_not @ $false|~c_not @ $true|(~X506|X506)|X506)))&(~c_not @ $false|(~X506|X506)|X506))&((((~X506|X506|(c_not @ $false|X506)|X506)&(~c_not @ $false|X506|(c_not @ $false|X506)|X506))&((~X506|~c_not @ $true|(c_not @ $false|X506)|X506)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|X506)|X506)))&(~c_not @ $false|(c_not @ $false|X506)|X506)))&(((((~X506|X506|(~X506|c_not @ $true)|X506)&(~c_not @ $false|X506|(~X506|c_not @ $true)|X506))&((~X506|~c_not @ $true|(~X506|c_not @ $true)|X506)&(~c_not @ $false|~c_not @ $true|(~X506|c_not @ $true)|X506)))&(~c_not @ $false|(~X506|c_not @ $true)|X506))&((((~X506|X506|(c_not @ $false|c_not @ $true)|X506)&(~c_not @ $false|X506|(c_not @ $false|c_not @ $true)|X506))&((~X506|~c_not @ $true|(c_not @ $false|c_not @ $true)|X506)&(~c_not @ $false|~c_not @ $true|(c_not @ $false|c_not @ $true)|X506)))&(~c_not @ $false|(c_not @ $false|c_not @ $true)|X506))))&((((~X506|X506|~c_not @ $true|X506)&(~c_not @ $false|X506|~c_not @ $true|X506))&((~X506|~c_not @ $true|~c_not @ $true|X506)&(~c_not @ $false|~c_not @ $true|~c_not @ $true|X506)))&(~c_not @ $false|~c_not @ $true|X506))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])). 1.48/1.68 thf(c_0_41, plain, ![X12:$i > $i > $o]:(c_transitive_i @ X12|c_and @ $false @ $false|c_irreflexive_i @ X12|~epred168_1 @ X12), inference(split_conjunct,[status(thm)],[c_0_33])). 1.48/1.68 thf(c_0_42, plain, ![X68:$o]:~c_and @ $false @ X68, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_34])])])). 1.48/1.68 thf(c_0_43, axiom, ((~(?[X1:$i]:c_In @ X1 @ c_Empty)|c_not @ $true)&(?[X1:$i]:c_In @ X1 @ c_Empty|c_not @ $false)), inference(fool_unroll,[status(thm)],[ax5])). 1.48/1.68 thf(c_0_44, plain, ![X1:$i, X2:$i, X4:$i]:(c_Subq @ X1 @ X2|~c_In @ X1 @ (c_Power @ X4)), inference(spm,[status(thm)],[c_0_35, c_0_30])). 1.48/1.68 thf(c_0_45, plain, ![X1:$i, X2:$i]:(c_In @ X1 @ (c_Power @ X2)|~c_Subq @ X1 @ X2), inference(sr,[status(thm)],[c_0_36, c_0_37])). 1.48/1.68 thf(c_0_46, plain, ![X1:$i, X2:$i]:(c_Subq @ X1 @ X2|~c_In @ (esk37_2 @ X1 @ X2) @ X2), inference(split_conjunct,[status(thm)],[c_0_38])). 1.48/1.68 thf(c_0_47, plain, ![X1:$i, X2:$i]:(c_In @ (esk37_2 @ X1 @ X2) @ X1|c_Subq @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_38])). 1.48/1.68 thf(c_0_48, plain, ![X677:$i > $i > $o, X678:$i, X679:$i, X680:$i > $i > $o]:(((~X677 @ X678 @ X678|c_not @ $true|~c_irreflexive_i @ X677)&(X677 @ X679 @ X679|c_not @ $false|~c_irreflexive_i @ X677))&(((~X680 @ (esk55_1 @ X680) @ (esk55_1 @ X680)|X680 @ (esk54_1 @ X680) @ (esk54_1 @ X680)|c_irreflexive_i @ X680)&(~c_not @ $false|X680 @ (esk54_1 @ X680) @ (esk54_1 @ X680)|c_irreflexive_i @ X680))&((~X680 @ (esk55_1 @ X680) @ (esk55_1 @ X680)|~c_not @ $true|c_irreflexive_i @ X680)&(~c_not @ $false|~c_not @ $true|c_irreflexive_i @ X680)))), 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_39])])])])])])). 1.48/1.68 thf(c_0_49, plain, (~c_not @ $false|~c_not @ $true), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_40])])])). 1.48/1.68 thf(c_0_50, plain, ![X12:$i > $i > $o]:(c_transitive_i @ X12|c_and @ $true @ $false|~c_irreflexive_i @ X12|~epred168_1 @ X12), inference(split_conjunct,[status(thm)],[c_0_33])). 1.48/1.68 thf(c_0_51, plain, ![X68:$o]:~c_and @ X68 @ $false, inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_34])])])). 1.48/1.68 thf(c_0_52, plain, ![X12:$i > $i > $o]:(c_transitive_i @ X12|c_irreflexive_i @ X12|~epred168_1 @ X12), inference(sr,[status(thm)],[c_0_41, c_0_42])). 1.48/1.68 thf(c_0_53, plain, ![X493:$i]:((~c_In @ X493 @ c_Empty|c_not @ $true)&(c_In @ esk32_0 @ c_Empty|c_not @ $false)), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])])). 1.48/1.68 thf(c_0_54, plain, ![X507:$i, X508:$i]:(~c_Subq @ X507 @ X508|(~c_Subq @ X508 @ X507|(X507)=(X508))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4])])). 1.48/1.68 thf(c_0_55, plain, ![X1:$i, X2:$i, X4:$i]:(c_Subq @ X1 @ X2|~c_Subq @ X1 @ X4), inference(spm,[status(thm)],[c_0_44, c_0_45])). 1.48/1.68 thf(c_0_56, plain, ![X1:$i]:c_Subq @ X1 @ X1, inference(spm,[status(thm)],[c_0_46, c_0_47])). 1.48/1.68 thf(c_0_57, plain, ![X1:$i, X12:$i > $i > $o]:(c_not @ $true|~X12 @ X1 @ X1|~c_irreflexive_i @ X12), inference(split_conjunct,[status(thm)],[c_0_48])). 1.48/1.68 thf(c_0_58, plain, ~c_not @ $true, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_21])])). 1.48/1.68 thf(c_0_59, plain, ![X12:$i > $i > $o]:(c_and @ $false @ $true|c_irreflexive_i @ X12|~c_transitive_i @ X12|~epred168_1 @ X12), inference(split_conjunct,[status(thm)],[c_0_33])). 1.48/1.68 thf(c_0_60, plain, ![X12:$i > $i > $o]:(c_transitive_i @ X12|~epred168_1 @ X12), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_50, c_0_51]), c_0_52])). 1.48/1.68 thf(c_0_61, plain, ![X1:$i]:(c_not @ $true|~c_In @ X1 @ c_Empty), inference(split_conjunct,[status(thm)],[c_0_53])). 1.48/1.68 thf(c_0_62, plain, ![X2:$i, X1:$i]:((X1)=(X2)|~c_Subq @ X1 @ X2|~c_Subq @ X2 @ X1), inference(split_conjunct,[status(thm)],[c_0_54])). 1.48/1.68 thf(c_0_63, plain, ![X1:$i, X2:$i]:c_Subq @ X1 @ X2, inference(spm,[status(thm)],[c_0_55, c_0_56])). 1.48/1.68 thf(c_0_64, plain, ![X12:$i > $i > $o, X1:$i]:(~c_irreflexive_i @ X12|~X12 @ X1 @ X1), inference(sr,[status(thm)],[c_0_57, c_0_58])). 1.48/1.68 thf(c_0_65, plain, ![X12:$i > $i > $o]:(c_irreflexive_i @ X12|~epred168_1 @ X12), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_59, c_0_42]), c_0_60])). 1.48/1.68 thf(c_0_66, plain, ![X17:$o, X66:$o]:(c_and @ X17 @ X66|~epred183_2 @ X17 @ X66), inference(split_conjunct,[status(thm)],[c_0_34])). 1.48/1.68 thf(c_0_67, plain, (epred183_2 @ $true @ $true|c_and @ $true @ $true), inference(eliminate_boolean_vars,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_34])])])). 1.48/1.68 thf(c_0_68, plain, ![X1:$i]:~c_In @ X1 @ c_Empty, inference(sr,[status(thm)],[c_0_61, c_0_58])). 1.48/1.68 thf(c_0_69, plain, ![X1:$i, X2:$i]:(X1)=(X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63]), c_0_63])])). 1.48/1.68 thf(c_0_70, plain, ![X12:$i > $i > $o]:(X12 @ (esk54_1 @ X12) @ (esk54_1 @ X12)|c_irreflexive_i @ X12|~c_not @ $false), inference(split_conjunct,[status(thm)],[c_0_48])). 1.48/1.68 thf(c_0_71, plain, ![X1:$i, X12:$i > $i > $o]:(~X12 @ X1 @ X1|~epred168_1 @ X12), inference(spm,[status(thm)],[c_0_64, c_0_65])). 1.48/1.68 thf(c_0_72, plain, ![X15:$i > $i > $o]:(c_transitive_i @ X15<=>![X219:$i, X220:$i, X221:$i]:(X15 @ X219 @ X220=>(X15 @ X220 @ X221=>X15 @ X219 @ X221))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax33])])). 1.48/1.68 thf(c_0_73, plain, ![X12:$i > $i > $o]:(epred168_1 @ X12|~c_irreflexive_i @ X12|~c_transitive_i @ X12|~c_and @ $true @ $true), inference(split_conjunct,[status(thm)],[c_0_33])). 1.48/1.68 thf(c_0_74, plain, c_and @ $true @ $true, inference(spm,[status(thm)],[c_0_66, c_0_67])). 1.48/1.68 thf(c_0_75, plain, ![X1:$i, X2:$i]:~c_In @ X1 @ X2, inference(spm,[status(thm)],[c_0_68, c_0_69])). 1.48/1.68 thf(c_0_76, plain, ![X12:$i > $i > $o]:(X12 @ (esk54_1 @ X12) @ (esk54_1 @ X12)|c_irreflexive_i @ X12), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70, c_0_21])])). 1.48/1.68 thf(c_0_77, plain, ![X1:$i]:(~c_Subq @ (c_Power @ X1) @ X1|~epred168_1 @ c_In), inference(spm,[status(thm)],[c_0_71, c_0_45])). 1.48/1.68 thf(c_0_78, plain, ![X409:$i > $i > $o, X410:$i, X411:$i, X412:$i, X413:$i > $i > $o]:((~c_transitive_i @ X409|(~X409 @ X410 @ X411|(~X409 @ X411 @ X412|X409 @ X410 @ X412)))&((X413 @ (esk21_1 @ X413) @ (esk22_1 @ X413)|c_transitive_i @ X413)&((X413 @ (esk22_1 @ X413) @ (esk23_1 @ X413)|c_transitive_i @ X413)&(~X413 @ (esk21_1 @ X413) @ (esk23_1 @ X413)|c_transitive_i @ X413)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])])])])). 1.48/1.68 thf(c_0_79, plain, ![X12:$i > $i > $o]:(epred168_1 @ X12|~c_irreflexive_i @ X12|~c_transitive_i @ X12), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73, c_0_74])])). 1.48/1.68 thf(c_0_80, plain, c_irreflexive_i @ c_In, inference(spm,[status(thm)],[c_0_75, c_0_76])). 1.48/1.68 thf(c_0_81, plain, ~epred168_1 @ c_In, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_63])])). 1.48/1.68 thf(c_0_82, plain, ![X12:$i > $i > $o]:(X12 @ (esk22_1 @ X12) @ (esk23_1 @ X12)|c_transitive_i @ X12), inference(split_conjunct,[status(thm)],[c_0_78])). 1.48/1.68 thf(c_0_83, plain, ~c_transitive_i @ c_In, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_81])). 1.48/1.68 thf(c_0_84, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_82]), c_0_83]), ['proof']). 1.48/1.68 # SZS output end CNFRefutation 1.48/1.68 # Proof object total steps : 85 1.48/1.68 # Proof object clause steps : 49 1.48/1.68 # Proof object formula steps : 36 1.48/1.68 # Proof object conjectures : 5 1.48/1.68 # Proof object clause conjectures : 2 1.48/1.68 # Proof object formula conjectures : 3 1.48/1.68 # Proof object initial clauses used : 23 1.48/1.68 # Proof object initial formulas used : 11 1.48/1.68 # Proof object generating inferences : 13 1.48/1.68 # Proof object simplifying inferences : 65 1.48/1.68 # Training examples: 0 positive, 0 negative 1.48/1.68 # Parsed axioms : 213 1.48/1.68 # Removed by relevancy pruning/SinE : 0 1.48/1.68 # Initial clauses : 7156 1.48/1.68 # Removed in clause preprocessing : 2326 1.48/1.68 # Initial clauses in saturation : 4830 1.48/1.68 # Processed clauses : 8070 1.48/1.68 # ...of these trivial : 574 1.48/1.68 # ...subsumed : 4010 1.48/1.68 # ...remaining for further processing : 3485 1.48/1.68 # Other redundant clauses eliminated : 138 1.48/1.68 # Clauses deleted for lack of memory : 0 1.48/1.68 # Backward-subsumed : 282 1.48/1.68 # Backward-rewritten : 534 1.48/1.68 # Generated clauses : 17510 1.48/1.68 # ...of the previous two non-trivial : 10217 1.48/1.68 # Contextual simplify-reflections : 220 1.48/1.68 # Paramodulations : 7542 1.48/1.68 # Factorizations : 0 1.48/1.68 # NegExts : 1124 1.48/1.68 # Equation resolutions : 138 1.48/1.68 # Propositional unsat checks : 0 1.48/1.68 # Propositional check models : 0 1.48/1.68 # Propositional check unsatisfiable : 0 1.48/1.68 # Propositional clauses : 0 1.48/1.68 # Propositional clauses after purity: 0 1.48/1.68 # Propositional unsat core size : 0 1.48/1.68 # Propositional preprocessing time : 0.000 1.48/1.68 # Propositional encoding time : 0.000 1.48/1.68 # Propositional solver time : 0.000 1.48/1.68 # Success case prop preproc time : 0.000 1.48/1.68 # Success case prop encoding time : 0.000 1.48/1.68 # Success case prop solver time : 0.000 1.48/1.68 # Current number of processed clauses : 1030 1.48/1.68 # Positive orientable unit clauses : 151 1.48/1.68 # Positive unorientable unit clauses: 1 1.48/1.68 # Negative unit clauses : 284 1.48/1.68 # Non-unit-clauses : 594 1.48/1.68 # Current number of unprocessed clauses: 8149 1.48/1.68 # ...number of literals in the above : 22314 1.48/1.68 # Current number of archived formulas : 0 1.48/1.68 # Current number of archived clauses : 2426 1.48/1.68 # Clause-clause subsumption calls (NU) : 1148960 1.48/1.68 # Rec. Clause-clause subsumption calls : 304633 1.48/1.68 # Non-unit clause-clause subsumptions : 1589 1.48/1.68 # Unit Clause-clause subsumption calls : 72781 1.48/1.68 # Rewrite failures with RHS unbound : 2073 1.48/1.68 # BW rewrite match attempts : 4604 1.48/1.68 # BW rewrite match successes : 1193 1.48/1.68 # Condensation attempts : 0 1.48/1.68 # Condensation successes : 0 1.48/1.68 # Termbank termtop insertions : 728624 1.48/1.69 1.48/1.69 # ------------------------------------------------- 1.48/1.69 # User time : 1.283 s 1.48/1.69 # System time : 0.042 s 1.48/1.69 # Total time : 1.325 s 1.48/1.69 # Maximum resident set size: 2020 pages 1.48/1.69 EOF