0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.17/0.44 % Computer : n021.cluster.edu 0.17/0.44 % Model : x86_64 x86_64 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.17/0.44 % Memory : 8046.5625MB 0.17/0.44 % OS : Linux 6.8.0-71-generic 0.17/0.44 % CPULimit : 1440 0.17/0.44 % WCLimit : 180 0.17/0.44 % DateTime : Mon Jul 27 14:34:23 UTC 2026 0.17/0.44 % CPUTime : 0.17/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.17/0.51 Running higher-order theorem proving 0.26/0.54 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p 176.57/60.88 % Version: 3.5.1-ho 176.57/60.88 % partial match(1): HSLMSMSSSSLCHSA 176.57/60.88 % Preprocessing class: HSLMSLSSSSLCHSA. 176.57/60.88 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 176.57/60.88 % Starting pre_casc_6 with 900s (5) cores 176.57/60.88 % Starting ehoh_best7 with 180s (1) cores 176.57/60.88 % Starting new_bool_8 with 180s (1) cores 176.57/60.88 % Starting new_ho_11 with 180s (1) cores 176.57/60.88 % new_ho_11 with pid 861170 completed with status 0 176.57/60.88 % Result found by new_ho_11 176.57/60.88 % partial match(1): HSLMSMSSSSLCHSA 176.57/60.88 % Preprocessing class: HSLMSLSSSSLCHSA. 176.57/60.88 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 176.57/60.88 % Starting pre_casc_6 with 900s (5) cores 176.57/60.88 % Starting ehoh_best7 with 180s (1) cores 176.57/60.88 % Starting new_bool_8 with 180s (1) cores 176.57/60.88 % Starting new_ho_11 with 180s (1) cores 176.57/60.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 176.57/60.88 % No SInE strategy applied 176.57/60.88 % Search class: HGHSM-SMLM33-DHSFFSBC 176.57/60.88 % partial match(1): HGHSM-SMLM32-DHSFFSBC 176.57/60.88 % Scheduled 7 strats onto 1 cores with 135 seconds (135 total) 176.57/60.88 % Starting SubtermCWHack with 13s (1) cores 176.57/60.88 % SubtermCWHack with pid 861182 completed with status 0 176.57/60.88 % Result found by SubtermCWHack 176.57/60.88 % partial match(1): HSLMSMSSSSLCHSA 176.57/60.88 % Preprocessing class: HSLMSLSSSSLCHSA. 176.57/60.88 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 176.57/60.88 % Starting pre_casc_6 with 900s (5) cores 176.57/60.88 % Starting ehoh_best7 with 180s (1) cores 176.57/60.88 % Starting new_bool_8 with 180s (1) cores 176.57/60.88 % Starting new_ho_11 with 180s (1) cores 176.57/60.88 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 176.57/60.88 % No SInE strategy applied 176.57/60.88 % Search class: HGHSM-SMLM33-DHSFFSBC 176.57/60.88 % partial match(1): HGHSM-SMLM32-DHSFFSBC 176.57/60.88 % Scheduled 7 strats onto 1 cores with 135 seconds (135 total) 176.57/60.88 % Starting SubtermCWHack with 13s (1) cores 176.57/60.88 % Preprocessing time : 0.169 s 176.57/60.88 176.57/60.88 % Proof found! 176.57/60.88 % SZS status Theorem 176.57/60.88 % SZS output start CNFRefutation 176.57/60.88 thf(decl_24, type, c_False: $o). 176.57/60.88 thf(decl_26, type, c_not: $o > $o). 176.57/60.88 thf(decl_27, type, c_and: $o > $o > $o). 176.57/60.88 thf(decl_29, type, c_iff: $o > $o > $o). 176.57/60.88 thf(decl_30, type, c_In: $i > $i > $o). 176.57/60.88 thf(decl_31, type, c_Subq: $i > $i > $o). 176.57/60.88 thf(decl_32, type, c_Empty: $i). 176.57/60.88 thf(decl_33, type, c_Union: $i > $i). 176.57/60.88 thf(decl_34, type, c_Power: $i > $i). 176.57/60.88 thf(decl_48, type, c_irreflexive_i: ($i > $i > $o) > $o). 176.57/60.88 thf(decl_51, type, c_transitive_i: ($i > $i > $o) > $o). 176.57/60.88 thf(decl_207, type, epred81_1: ($i > $i > $o) > $o). 176.57/60.88 thf(decl_244, type, epred118_2: $i > $i > $o). 176.57/60.88 thf(decl_275, type, epred145_0: $o). 176.57/60.88 thf(decl_276, type, esk5_0: $i). 176.57/60.88 thf(decl_291, type, esk19_1: ($i > $o) > $i). 176.57/60.88 thf(decl_292, type, esk20_1: ($i > $i > $o) > $i). 176.57/60.88 thf(decl_293, type, esk21_1: ($i > $i > $o) > $i). 176.57/60.88 thf(decl_294, type, esk22_1: ($i > $i > $o) > $i). 176.57/60.88 thf(decl_295, type, esk23_0: $i > $i > $i). 176.57/60.88 thf(decl_296, type, esk24_0: $i > $i). 176.57/60.88 thf(decl_297, type, esk25_0: $i). 176.57/60.88 thf(decl_298, type, esk26_0: $i). 176.57/60.88 thf(decl_299, type, esk27_0: $i). 176.57/60.88 thf(decl_301, type, epred147_2: $o > $o > $o). 176.57/60.88 thf(decl_302, type, esk29_1: ($i > $i > $o) > $i). 176.57/60.88 thf(decl_303, type, esk30_1: ($i > $i > $o) > $i). 176.57/60.88 thf(decl_314, type, esk40_2: $i > $i > $i). 176.57/60.88 thf(decl_317, type, esk43_2: $i > $i > $i). 176.57/60.88 thf(decl_318, type, esk44_2: $i > $i > $i). 176.57/60.88 thf(decl_492, type, esk214_0: ($i > $i) > $i > $i). 176.57/60.88 thf(decl_495, type, esk216_1: $i > $i > $i). 176.57/60.88 thf(decl_506, type, epred160_1: ($i > $o) > $i > $o). 176.57/60.88 thf(ax13, axiom, ((c_not)=(^[X156:$o]:((((c_False))<=((X156)))))), file('/export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p', ax13)). 176.57/60.88 thf(ax6, axiom, ![X1:$i, X157:$i]:((c_iff @ ((c_In @ X157 @ (c_Union @ X1))) @ (?[X3:$i]:((c_and @ ((c_In @ X157 @ X3)) @ ((c_In @ X3 @ X1))))))), file('/export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p', ax6)). 176.57/60.88 thf(ax3, axiom, ![X182:$o, X183:$o]:((((X182)<=>(X183))<=(c_iff @ ((X182)) @ ((X183))))), file('/export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p', ax3)). 176.57/60.88 thf(ax14, axiom, ((c_and)=(^[X80:$o, X81:$o]:(![X82:$o]:((((X82))<=((((((X81))=>((X82))))<=((X80))))))))), file('/export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p', ax14)). 176.57/60.88 thf(ax5, axiom, (c_not @ (?[X1:$i]:((c_In @ X1 @ c_Empty)))), file('/export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p', ax5)). 176.57/60.88 thf(ax11, axiom, ((c_False)<=>![X29:$o]:((X29))), file('/export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p', ax11)). 176.57/60.88 thf(conj, conjecture, (c_not @ (![X63:$i > $i > $o, X64:$i > $i > $i, X65:$i > $o, X66:$i > $o, X67:$i > $i, X68:$i, X39:$i, X40:$i]:(((X67 @ (X64 @ (X64 @ (X64 @ (X64 @ (X64 @ (X64 @ X39 @ X68) @ (X64 @ (X64 @ (X64 @ X39 @ X68) @ (X64 @ X40 @ (X64 @ (X64 @ (X64 @ X68 @ X68) @ (X64 @ (X64 @ (X64 @ (X64 @ X68 @ (X64 @ (X64 @ X39 @ (X64 @ X68 @ (X64 @ X68 @ X40))) @ X68)) @ X40) @ (X64 @ (X67 @ X39) @ X40)) @ (X64 @ (X64 @ (X64 @ (X64 @ X68 @ (X67 @ (X64 @ X40 @ X68))) @ (X64 @ X39 @ X39)) @ (X64 @ X39 @ (X64 @ X40 @ X68))) @ X68))) @ X40))) @ X68)) @ X39) @ (X64 @ X39 @ (X64 @ X68 @ (X64 @ (X64 @ (X67 @ X68) @ (X64 @ (X64 @ X39 @ X39) @ X39)) @ X68)))) @ (X67 @ (X67 @ X39))) @ X68))=(X67 @ (X67 @ X40)))))), file('/export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p', conj)). 176.57/60.88 thf(ax17, axiom, ((c_Subq)=(^[X1:$i, X135:$i]:(![X3:$i]:((((c_In @ X3 @ X1))=>((c_In @ X3 @ X135))))))), file('/export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p', ax17)). 176.57/60.88 thf(ax4, axiom, ![X1:$i, X71:$i]:((((c_Subq @ X71 @ X1)=>((X1)=(X71)))<=(c_Subq @ X1 @ X71))), file('/export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p', ax4)). 176.57/60.88 thf(ax30, axiom, ((c_irreflexive_i)=(^[X84:$i > $i > $o]:(![X85:$i]:((c_not @ ((X84 @ X85 @ X85))))))), file('/export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p', ax30)). 176.57/60.88 thf(ax33, axiom, ((c_transitive_i)=(^[X61:$i > $i > $o]:(![X62:$i, X3:$i, X4:$i]:((((X61 @ X62 @ X3))=>((((X61 @ X62 @ X4))<=((X61 @ X3 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p', ax33)). 176.57/60.88 thf(ax7, axiom, ![X1:$i, X60:$i]:((c_iff @ ((c_In @ X60 @ (c_Power @ X1))) @ ((c_Subq @ X60 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p', ax7)). 176.57/60.88 thf(ax10, axiom, ![X57:$i > $o]:((![X58:$i]:((X57 @ X58))<=![X59:$i]:(((X57 @ X59)<=![X3:$i]:(((X57 @ X3)<=(c_In @ X3 @ X59))))))), file('/export/starexec/sandbox/tmp/tmp.XOPExbQor3/E---3.1_861154.p', ax10)). 176.57/60.88 thf(c_0_13, plain, ![X157:$i, X1:$i]:(((epred118_2 @ X1 @ X157)<=>~(?[X3:$i]:(((~(c_In @ X157 @ X3)|((~(c_In @ X3 @ X1)|(c_and @ $true @ $true))&((c_In @ X3 @ X1)|(c_and @ $true @ $false))))&((c_In @ X157 @ X3)|((~(c_In @ X3 @ X1)|(c_and @ $false @ $true))&((c_In @ X3 @ X1)|(c_and @ $false @ $false))))))))), introduced(definition)). 176.57/60.88 thf(c_0_14, plain, ![X384:$o]:(((c_not @ ((X384)))<=>((X384)=>(c_False)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])])])). 176.57/60.88 thf(c_0_15, axiom, ![X1:$i, X157:$i]:(((~(c_In @ X157 @ (c_Union @ X1))|(((epred118_2 @ X1 @ X157)|(c_iff @ $true @ $true))&(?[X3:$i]:(((~(c_In @ X157 @ X3)|((~(c_In @ X3 @ X1)|(c_and @ $true @ $true))&((c_In @ X3 @ X1)|(c_and @ $true @ $false))))&((c_In @ X157 @ X3)|((~(c_In @ X3 @ X1)|(c_and @ $false @ $true))&((c_In @ X3 @ X1)|(c_and @ $false @ $false))))))|(c_iff @ $true @ $false))))&((c_In @ X157 @ (c_Union @ X1))|(((epred118_2 @ X1 @ X157)|(c_iff @ $false @ $true))&(?[X3:$i]:(((~(c_In @ X157 @ X3)|((~(c_In @ X3 @ X1)|(c_and @ $true @ $true))&((c_In @ X3 @ X1)|(c_and @ $true @ $false))))&((c_In @ X157 @ X3)|((~(c_In @ X3 @ X1)|(c_and @ $false @ $true))&((c_In @ X3 @ X1)|(c_and @ $false @ $false))))))|(c_iff @ $false @ $false)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fool_unroll,[status(thm)],[ax6]), c_0_13]), c_0_13])). 176.57/60.88 thf(c_0_16, plain, ![X182:$o, X183:$o]:(((c_iff @ ((X182)) @ ((X183)))=>((X182)<=>(X183)))), inference(fof_simplification,[status(thm)],[ax3])). 176.57/60.88 thf(c_0_17, plain, ![X291:$o, X292:$o]:(((c_and @ ((X291)) @ ((X292)))<=>![X82:$o]:((((X291)=>((X292)=>(X82)))=>(X82))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax14])])])). 176.57/60.88 thf(c_0_18, axiom, ((~(?[X1:$i]:((c_In @ X1 @ c_Empty)))|(c_not @ $true))&(?[X1:$i]:((c_In @ X1 @ c_Empty))|(c_not @ $false))), inference(fool_unroll,[status(thm)],[ax5])). 176.57/60.88 thf(c_0_19, plain, ![X728:$o]:(((~(c_not @ ((X728)))|(~(X728)|(c_False)))&(((X728)|(c_not @ ((X728))))&(~(c_False)|(c_not @ ((X728))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])). 176.57/60.88 thf(c_0_20, plain, ![X474:$o]:(((~(c_False)|(X474))&(~(epred145_0)|(c_False)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])])])])])). 176.57/60.88 thf(c_0_21, plain, ![X729:$i, X730:$i, X732:$i, X733:$i]:(((((epred118_2 @ X729 @ X730)|(c_iff @ $true @ $true)|~(c_In @ X730 @ (c_Union @ X729)))&(((~(c_In @ (esk43_2 @ X729 @ X730) @ X729)|(c_and @ $true @ $true)|~(c_In @ X730 @ (esk43_2 @ X729 @ X730))|(c_iff @ $true @ $false)|~(c_In @ X730 @ (c_Union @ X729)))&((c_In @ (esk43_2 @ X729 @ X730) @ X729)|(c_and @ $true @ $false)|~(c_In @ X730 @ (esk43_2 @ X729 @ X730))|(c_iff @ $true @ $false)|~(c_In @ X730 @ (c_Union @ X729))))&((~(c_In @ (esk43_2 @ X729 @ X730) @ X729)|(c_and @ $false @ $true)|(c_In @ X730 @ (esk43_2 @ X729 @ X730))|(c_iff @ $true @ $false)|~(c_In @ X730 @ (c_Union @ X729)))&((c_In @ (esk43_2 @ X729 @ X730) @ X729)|(c_and @ $false @ $false)|(c_In @ X730 @ (esk43_2 @ X729 @ X730))|(c_iff @ $true @ $false)|~(c_In @ X730 @ (c_Union @ X729))))))&(((epred118_2 @ X732 @ X733)|(c_iff @ $false @ $true)|(c_In @ X733 @ (c_Union @ X732)))&(((~(c_In @ (esk44_2 @ X732 @ X733) @ X732)|(c_and @ $true @ $true)|~(c_In @ X733 @ (esk44_2 @ X732 @ X733))|(c_iff @ $false @ $false)|(c_In @ X733 @ (c_Union @ X732)))&((c_In @ (esk44_2 @ X732 @ X733) @ X732)|(c_and @ $true @ $false)|~(c_In @ X733 @ (esk44_2 @ X732 @ X733))|(c_iff @ $false @ $false)|(c_In @ X733 @ (c_Union @ X732))))&((~(c_In @ (esk44_2 @ X732 @ X733) @ X732)|(c_and @ $false @ $true)|(c_In @ X733 @ (esk44_2 @ X732 @ X733))|(c_iff @ $false @ $false)|(c_In @ X733 @ (c_Union @ X732)))&((c_In @ (esk44_2 @ X732 @ X733) @ X732)|(c_and @ $false @ $false)|(c_In @ X733 @ (esk44_2 @ X732 @ X733))|(c_iff @ $false @ $false)|(c_In @ X733 @ (c_Union @ X732)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_15])])])])])])). 176.57/60.88 thf(c_0_22, plain, ![X784:$o, X785:$o]:(((~(X784)|(X785)|~(c_iff @ ((X784)) @ ((X785))))&(~(X785)|(X784)|~(c_iff @ ((X784)) @ ((X785)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])). 176.57/60.88 thf(c_0_23, plain, ![X586:$o, X587:$o, X588:$o, X589:$o, X590:$o]:(((((X586)|(X588)|~(c_and @ ((X586)) @ ((X587))))&(((X587)|(X588)|~(c_and @ ((X586)) @ ((X587))))&(~(X588)|(X588)|~(c_and @ ((X586)) @ ((X587))))))&((~(X589)|(~(X590)|(epred147_2 @ X589 @ X590))|(c_and @ ((X589)) @ ((X590))))&(~(epred147_2 @ X589 @ X590)|(c_and @ ((X589)) @ ((X590))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[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_17])])])])])])])). 176.57/60.88 thf(c_0_24, negated_conjecture, ~((c_not @ (![X63:$i > $i > $o, X64:$i > $i > $i, X65:$i > $o, X66:$i > $o, X67:$i > $i, X68:$i, X39:$i, X40:$i]:(((X67 @ (X64 @ (X64 @ (X64 @ (X64 @ (X64 @ (X64 @ X39 @ X68) @ (X64 @ (X64 @ (X64 @ X39 @ X68) @ (X64 @ X40 @ (X64 @ (X64 @ (X64 @ X68 @ X68) @ (X64 @ (X64 @ (X64 @ (X64 @ X68 @ (X64 @ (X64 @ X39 @ (X64 @ X68 @ (X64 @ X68 @ X40))) @ X68)) @ X40) @ (X64 @ (X67 @ X39) @ X40)) @ (X64 @ (X64 @ (X64 @ (X64 @ X68 @ (X67 @ (X64 @ X40 @ X68))) @ (X64 @ X39 @ X39)) @ (X64 @ X39 @ (X64 @ X40 @ X68))) @ X68))) @ X40))) @ X68)) @ X39) @ (X64 @ X39 @ (X64 @ X68 @ (X64 @ (X64 @ (X67 @ X68) @ (X64 @ (X64 @ X39 @ X39) @ X39)) @ X68)))) @ (X67 @ (X67 @ X39))) @ X68))=(X67 @ (X67 @ X40))))))), inference(assume_negation,[status(cth)],[conj])). 176.57/60.88 thf(c_0_25, plain, ![X477:$i]:(((~(c_In @ X477 @ c_Empty)|(c_not @ $true))&((c_In @ esk5_0 @ c_Empty)|(c_not @ $false)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])])). 176.57/60.88 thf(c_0_26, plain, ((c_False)|~((c_not @ (($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_19])])])). 176.57/60.88 thf(c_0_27, plain, ~((c_False)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_20])])])). 176.57/60.88 thf(c_0_28, plain, ![X356:$i, X357:$i]:(((c_Subq @ X356 @ X357)<=>![X3:$i]:(((c_In @ X3 @ X356)=>(c_In @ X3 @ X357))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax17])])). 176.57/60.88 thf(c_0_29, plain, ![X3:$i, X1:$i]:(((c_In @ (esk43_2 @ X1 @ X3) @ X1)|(c_and @ (~($true)) @ (~($true)))|(c_In @ X3 @ (esk43_2 @ X1 @ X3))|(c_iff @ (($true)) @ (~($true)))|~((c_In @ X3 @ (c_Union @ X1))))), inference(split_conjunct,[status(thm)],[c_0_21])). 176.57/60.88 thf(c_0_30, plain, ~((c_iff @ (($true)) @ (~($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_22])])])). 176.57/60.88 thf(c_0_31, plain, ![X18:$o]:(~((c_and @ ((X18)) @ (~($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_23])])])). 176.57/60.88 thf(c_0_32, negated_conjecture, ~(((~(![X63:$i > $i > $o, X64:$i > $i > $i, X65:$i > $o, X66:$i > $o, X67:$i > $i, X68:$i, X39:$i, X40:$i]:(((X67 @ (X64 @ (X64 @ (X64 @ (X64 @ (X64 @ (X64 @ X39 @ X68) @ (X64 @ (X64 @ (X64 @ X39 @ X68) @ (X64 @ X40 @ (X64 @ (X64 @ (X64 @ X68 @ X68) @ (X64 @ (X64 @ (X64 @ (X64 @ X68 @ (X64 @ (X64 @ X39 @ (X64 @ X68 @ (X64 @ X68 @ X40))) @ X68)) @ X40) @ (X64 @ (X67 @ X39) @ X40)) @ (X64 @ (X64 @ (X64 @ (X64 @ X68 @ (X67 @ (X64 @ X40 @ X68))) @ (X64 @ X39 @ X39)) @ (X64 @ X39 @ (X64 @ X40 @ X68))) @ X68))) @ X40))) @ X68)) @ X39) @ (X64 @ X39 @ (X64 @ X68 @ (X64 @ (X64 @ (X67 @ X68) @ (X64 @ (X64 @ X39 @ X39) @ X39)) @ X68)))) @ (X67 @ (X67 @ X39))) @ X68))=(X67 @ (X67 @ X40)))))|(c_not @ $true))&(![X63:$i > $i > $o, X64:$i > $i > $i, X65:$i > $o, X66:$i > $o, X67:$i > $i, X68:$i, X39:$i, X40:$i]:(((X67 @ (X64 @ (X64 @ (X64 @ (X64 @ (X64 @ (X64 @ X39 @ X68) @ (X64 @ (X64 @ (X64 @ X39 @ X68) @ (X64 @ X40 @ (X64 @ (X64 @ (X64 @ X68 @ X68) @ (X64 @ (X64 @ (X64 @ (X64 @ X68 @ (X64 @ (X64 @ X39 @ (X64 @ X68 @ (X64 @ X68 @ X40))) @ X68)) @ X40) @ (X64 @ (X67 @ X39) @ X40)) @ (X64 @ (X64 @ (X64 @ (X64 @ X68 @ (X67 @ (X64 @ X40 @ X68))) @ (X64 @ X39 @ X39)) @ (X64 @ X39 @ (X64 @ X40 @ X68))) @ X68))) @ X40))) @ X68)) @ X39) @ (X64 @ X39 @ (X64 @ X68 @ (X64 @ (X64 @ (X67 @ X68) @ (X64 @ (X64 @ X39 @ X39) @ X39)) @ X68)))) @ (X67 @ (X67 @ X39))) @ X68))=(X67 @ (X67 @ X40))))|(c_not @ $false)))), inference(fool_unroll,[status(thm)],[c_0_24])). 176.57/60.88 thf(c_0_33, plain, ![X1:$i, X71:$i]:(((c_Subq @ X1 @ X71)=>((c_Subq @ X71 @ X1)=>((X1)=(X71))))), inference(fof_simplification,[status(thm)],[ax4])). 176.57/60.88 thf(c_0_34, plain, ![X1:$i]:(((c_not @ (($true)))|~((c_In @ X1 @ c_Empty)))), inference(split_conjunct,[status(thm)],[c_0_25])). 176.57/60.88 thf(c_0_35, plain, ~((c_not @ (($true)))), inference(sr,[status(thm)],[c_0_26, c_0_27])). 176.57/60.88 thf(c_0_36, plain, ![X690:$i, X691:$i, X692:$i, X693:$i, X694:$i]:(((~(c_Subq @ X690 @ X691)|(~(c_In @ X692 @ X690)|(c_In @ X692 @ X691)))&(((c_In @ (esk40_2 @ X693 @ X694) @ X693)|(c_Subq @ X693 @ X694))&(~(c_In @ (esk40_2 @ X693 @ X694) @ X694)|(c_Subq @ X693 @ X694))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])])])])). 176.57/60.88 thf(c_0_37, plain, ![X3:$i, X1:$i]:(((c_In @ (esk43_2 @ X1 @ X3) @ X1)|(c_and @ (($true)) @ (~($true)))|(c_iff @ (($true)) @ (~($true)))|~((c_In @ X3 @ (esk43_2 @ X1 @ X3)))|~((c_In @ X3 @ (c_Union @ X1))))), inference(split_conjunct,[status(thm)],[c_0_21])). 176.57/60.88 thf(c_0_38, plain, ![X3:$i, X1:$i]:(((c_In @ (esk43_2 @ X1 @ X3) @ X1)|(c_In @ X3 @ (esk43_2 @ X1 @ X3))|~((c_In @ X3 @ (c_Union @ X1))))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_29, c_0_30]), c_0_31])). 176.57/60.88 thf(c_0_39, negated_conjecture, ![X559:$i > $i > $i, X560:$i > $i, X561:$i, X562:$i, X563:$i]:((((((esk24_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ esk26_0 @ esk25_0) @ (esk23_0 @ (esk23_0 @ (esk23_0 @ esk26_0 @ esk25_0) @ (esk23_0 @ esk27_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ esk25_0 @ esk25_0) @ (esk23_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ esk25_0 @ (esk23_0 @ (esk23_0 @ esk26_0 @ (esk23_0 @ esk25_0 @ (esk23_0 @ esk25_0 @ esk27_0))) @ esk25_0)) @ esk27_0) @ (esk23_0 @ (esk24_0 @ esk26_0) @ esk27_0)) @ (esk23_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ esk25_0 @ (esk24_0 @ (esk23_0 @ esk27_0 @ esk25_0))) @ (esk23_0 @ esk26_0 @ esk26_0)) @ (esk23_0 @ esk26_0 @ (esk23_0 @ esk27_0 @ esk25_0))) @ esk25_0))) @ esk27_0))) @ esk25_0)) @ esk26_0) @ (esk23_0 @ esk26_0 @ (esk23_0 @ esk25_0 @ (esk23_0 @ (esk23_0 @ (esk24_0 @ esk25_0) @ (esk23_0 @ (esk23_0 @ esk26_0 @ esk26_0) @ esk26_0)) @ esk25_0)))) @ (esk24_0 @ (esk24_0 @ esk26_0))) @ esk25_0))!=(esk24_0 @ (esk24_0 @ esk27_0)))|((X560 @ (X559 @ (X559 @ (X559 @ (X559 @ (X559 @ (X559 @ X562 @ X561) @ (X559 @ (X559 @ (X559 @ X562 @ X561) @ (X559 @ X563 @ (X559 @ (X559 @ (X559 @ X561 @ X561) @ (X559 @ (X559 @ (X559 @ (X559 @ X561 @ (X559 @ (X559 @ X562 @ (X559 @ X561 @ (X559 @ X561 @ X563))) @ X561)) @ X563) @ (X559 @ (X560 @ X562) @ X563)) @ (X559 @ (X559 @ (X559 @ (X559 @ X561 @ (X560 @ (X559 @ X563 @ X561))) @ (X559 @ X562 @ X562)) @ (X559 @ X562 @ (X559 @ X563 @ X561))) @ X561))) @ X563))) @ X561)) @ X562) @ (X559 @ X562 @ (X559 @ X561 @ (X559 @ (X559 @ (X560 @ X561) @ (X559 @ (X559 @ X562 @ X562) @ X562)) @ X561)))) @ (X560 @ (X560 @ X562))) @ X561))=(X560 @ (X560 @ X563))))&(~(c_not @ $false)|((X560 @ (X559 @ (X559 @ (X559 @ (X559 @ (X559 @ (X559 @ X562 @ X561) @ (X559 @ (X559 @ (X559 @ X562 @ X561) @ (X559 @ X563 @ (X559 @ (X559 @ (X559 @ X561 @ X561) @ (X559 @ (X559 @ (X559 @ (X559 @ X561 @ (X559 @ (X559 @ X562 @ (X559 @ X561 @ (X559 @ X561 @ X563))) @ X561)) @ X563) @ (X559 @ (X560 @ X562) @ X563)) @ (X559 @ (X559 @ (X559 @ (X559 @ X561 @ (X560 @ (X559 @ X563 @ X561))) @ (X559 @ X562 @ X562)) @ (X559 @ X562 @ (X559 @ X563 @ X561))) @ X561))) @ X563))) @ X561)) @ X562) @ (X559 @ X562 @ (X559 @ X561 @ (X559 @ (X559 @ (X560 @ X561) @ (X559 @ (X559 @ X562 @ X562) @ X562)) @ X561)))) @ (X560 @ (X560 @ X562))) @ X561))=(X560 @ (X560 @ X563)))))&((((esk24_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ esk26_0 @ esk25_0) @ (esk23_0 @ (esk23_0 @ (esk23_0 @ esk26_0 @ esk25_0) @ (esk23_0 @ esk27_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ esk25_0 @ esk25_0) @ (esk23_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ esk25_0 @ (esk23_0 @ (esk23_0 @ esk26_0 @ (esk23_0 @ esk25_0 @ (esk23_0 @ esk25_0 @ esk27_0))) @ esk25_0)) @ esk27_0) @ (esk23_0 @ (esk24_0 @ esk26_0) @ esk27_0)) @ (esk23_0 @ (esk23_0 @ (esk23_0 @ (esk23_0 @ esk25_0 @ (esk24_0 @ (esk23_0 @ esk27_0 @ esk25_0))) @ (esk23_0 @ esk26_0 @ esk26_0)) @ (esk23_0 @ esk26_0 @ (esk23_0 @ esk27_0 @ esk25_0))) @ esk25_0))) @ esk27_0))) @ esk25_0)) @ esk26_0) @ (esk23_0 @ esk26_0 @ (esk23_0 @ esk25_0 @ (esk23_0 @ (esk23_0 @ (esk24_0 @ esk25_0) @ (esk23_0 @ (esk23_0 @ esk26_0 @ esk26_0) @ esk26_0)) @ esk25_0)))) @ (esk24_0 @ (esk24_0 @ esk26_0))) @ esk25_0))!=(esk24_0 @ (esk24_0 @ esk27_0)))|~(c_not @ $true))&(~(c_not @ $false)|~(c_not @ $true))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_32])])])])])])])). 176.57/60.88 thf(c_0_40, plain, ![X571:$i, X572:$i]:((~(c_Subq @ X571 @ X572)|(~(c_Subq @ X572 @ X571)|((X571)=(X572))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])). 176.57/60.88 thf(c_0_41, plain, ![X1:$i]:(~((c_In @ X1 @ c_Empty))), inference(sr,[status(thm)],[c_0_34, c_0_35])). 176.57/60.88 thf(c_0_42, plain, ![X1:$i, X3:$i]:(((c_In @ (esk40_2 @ X1 @ X3) @ X1)|(c_Subq @ X1 @ X3))), inference(split_conjunct,[status(thm)],[c_0_36])). 176.57/60.88 thf(c_0_43, plain, ![X3:$i, X1:$i]:(((c_In @ (esk43_2 @ X1 @ X3) @ X1)|~((c_In @ X3 @ (c_Union @ X1))))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_37, c_0_31]), c_0_30]), c_0_38])). 176.57/60.88 thf(c_0_44, negated_conjecture, ![X1:$i, X3:$i, X22:$i > $i, X38:$i > $i > $i, X4:$i]:((((X22 @ (X38 @ (X38 @ (X38 @ (X38 @ (X38 @ (X38 @ X1 @ X3) @ (X38 @ (X38 @ (X38 @ X1 @ X3) @ (X38 @ X4 @ (X38 @ (X38 @ (X38 @ X3 @ X3) @ (X38 @ (X38 @ (X38 @ (X38 @ X3 @ (X38 @ (X38 @ X1 @ (X38 @ X3 @ (X38 @ X3 @ X4))) @ X3)) @ X4) @ (X38 @ (X22 @ X1) @ X4)) @ (X38 @ (X38 @ (X38 @ (X38 @ X3 @ (X22 @ (X38 @ X4 @ X3))) @ (X38 @ X1 @ X1)) @ (X38 @ X1 @ (X38 @ X4 @ X3))) @ X3))) @ X4))) @ X3)) @ X1) @ (X38 @ X1 @ (X38 @ X3 @ (X38 @ (X38 @ (X22 @ X3) @ (X38 @ (X38 @ X1 @ X1) @ X1)) @ X3)))) @ (X22 @ (X22 @ X1))) @ X3))=(X22 @ (X22 @ X4)))|~((c_not @ (~($true)))))), inference(split_conjunct,[status(thm)],[c_0_39])). 176.57/60.88 thf(c_0_45, plain, (c_not @ (~($true))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_19])])])). 176.57/60.88 thf(c_0_46, plain, ![X1973:$i, X1974:$i]:(((esk216_1 @ X1974 @ X1973)=(X1974))), inference(variable_rename,[status(thm)],[])). 176.57/60.88 thf(c_0_47, plain, ![X3:$i, X1:$i]:((((X1)=(X3))|~((c_Subq @ X1 @ X3))|~((c_Subq @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_40])). 176.57/60.88 thf(c_0_48, plain, ![X1:$i]:((c_Subq @ c_Empty @ X1)), inference(spm,[status(thm)],[c_0_41, c_0_42])). 176.57/60.88 thf(c_0_49, plain, ![X1:$i]:(~((c_In @ X1 @ (c_Union @ c_Empty)))), inference(spm,[status(thm)],[c_0_41, c_0_43])). 176.57/60.88 thf(c_0_50, plain, ![X342:$i > $i > $o]:(((epred81_1 @ X342)<=>((~(c_irreflexive_i @ X342)|((~(c_transitive_i @ X342)|(c_and @ $true @ $true))&((c_transitive_i @ X342)|(c_and @ $true @ $false))))&((c_irreflexive_i @ X342)|((~(c_transitive_i @ X342)|(c_and @ $false @ $true))&((c_transitive_i @ X342)|(c_and @ $false @ $false))))))), introduced(definition)). 176.57/60.88 thf(c_0_51, plain, ![X157:$i, X1:$i]:(((epred118_2 @ X1 @ X157)=>~(?[X3:$i]:(((~(c_In @ X157 @ X3)|((~(c_In @ X3 @ X1)|(c_and @ $true @ $true))&((c_In @ X3 @ X1)|(c_and @ $true @ $false))))&((c_In @ X157 @ X3)|((~(c_In @ X3 @ X1)|(c_and @ $false @ $true))&((c_In @ X3 @ X1)|(c_and @ $false @ $false))))))))), inference(split_equiv,[status(thm)],[c_0_13])). 176.57/60.88 thf(c_0_52, negated_conjecture, ![X1:$i, X3:$i, X22:$i > $i, X38:$i > $i > $i, X4:$i]:(((X22 @ (X38 @ (X38 @ (X38 @ (X38 @ (X38 @ (X38 @ X1 @ X3) @ (X38 @ (X38 @ (X38 @ X1 @ X3) @ (X38 @ X4 @ (X38 @ (X38 @ (X38 @ X3 @ X3) @ (X38 @ (X38 @ (X38 @ (X38 @ X3 @ (X38 @ (X38 @ X1 @ (X38 @ X3 @ (X38 @ X3 @ X4))) @ X3)) @ X4) @ (X38 @ (X22 @ X1) @ X4)) @ (X38 @ (X38 @ (X38 @ (X38 @ X3 @ (X22 @ (X38 @ X4 @ X3))) @ (X38 @ X1 @ X1)) @ (X38 @ X1 @ (X38 @ X4 @ X3))) @ X3))) @ X4))) @ X3)) @ X1) @ (X38 @ X1 @ (X38 @ X3 @ (X38 @ (X38 @ (X22 @ X3) @ (X38 @ (X38 @ X1 @ X1) @ X1)) @ X3)))) @ (X22 @ (X22 @ X1))) @ X3))=(X22 @ (X22 @ X4)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_45])])). 176.57/60.88 thf(c_0_53, plain, ![X3:$i, X1:$i]:(((esk216_1 @ X1 @ X3)=(X1))), inference(split_conjunct,[status(thm)],[c_0_46])). 176.57/60.88 thf(c_0_54, plain, ![X1:$i]:((((X1)=(c_Empty))|~((c_Subq @ X1 @ c_Empty)))), inference(spm,[status(thm)],[c_0_47, c_0_48])). 176.57/60.88 thf(c_0_55, plain, ![X1:$i]:((c_Subq @ (c_Union @ c_Empty) @ X1)), inference(spm,[status(thm)],[c_0_49, c_0_42])). 176.57/60.88 thf(c_0_56, plain, ![X1299:$i > $i > $o]:(((((~(c_transitive_i @ X1299)|(c_and @ $true @ $true)|~(c_irreflexive_i @ X1299)|~(epred81_1 @ X1299))&((c_transitive_i @ X1299)|(c_and @ $true @ $false)|~(c_irreflexive_i @ X1299)|~(epred81_1 @ X1299)))&((~(c_transitive_i @ X1299)|(c_and @ $false @ $true)|(c_irreflexive_i @ X1299)|~(epred81_1 @ X1299))&((c_transitive_i @ X1299)|(c_and @ $false @ $false)|(c_irreflexive_i @ X1299)|~(epred81_1 @ X1299))))&(((~(c_irreflexive_i @ X1299)|(c_irreflexive_i @ X1299)|(epred81_1 @ X1299))&(((~(c_transitive_i @ X1299)|(c_transitive_i @ X1299)|(c_irreflexive_i @ X1299)|(epred81_1 @ X1299))&(~(c_and @ $false @ $false)|(c_transitive_i @ X1299)|(c_irreflexive_i @ X1299)|(epred81_1 @ X1299)))&((~(c_transitive_i @ X1299)|~(c_and @ $false @ $true)|(c_irreflexive_i @ X1299)|(epred81_1 @ X1299))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(c_irreflexive_i @ X1299)|(epred81_1 @ X1299)))))&((((~(c_irreflexive_i @ X1299)|(~(c_transitive_i @ X1299)|(c_transitive_i @ X1299))|(epred81_1 @ X1299))&(((~(c_transitive_i @ X1299)|(c_transitive_i @ X1299)|(~(c_transitive_i @ X1299)|(c_transitive_i @ X1299))|(epred81_1 @ X1299))&(~(c_and @ $false @ $false)|(c_transitive_i @ X1299)|(~(c_transitive_i @ X1299)|(c_transitive_i @ X1299))|(epred81_1 @ X1299)))&((~(c_transitive_i @ X1299)|~(c_and @ $false @ $true)|(~(c_transitive_i @ X1299)|(c_transitive_i @ X1299))|(epred81_1 @ X1299))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_transitive_i @ X1299)|(c_transitive_i @ X1299))|(epred81_1 @ X1299)))))&((~(c_irreflexive_i @ X1299)|(~(c_and @ $true @ $false)|(c_transitive_i @ X1299))|(epred81_1 @ X1299))&(((~(c_transitive_i @ X1299)|(c_transitive_i @ X1299)|(~(c_and @ $true @ $false)|(c_transitive_i @ X1299))|(epred81_1 @ X1299))&(~(c_and @ $false @ $false)|(c_transitive_i @ X1299)|(~(c_and @ $true @ $false)|(c_transitive_i @ X1299))|(epred81_1 @ X1299)))&((~(c_transitive_i @ X1299)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|(c_transitive_i @ X1299))|(epred81_1 @ X1299))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|(c_transitive_i @ X1299))|(epred81_1 @ X1299))))))&(((~(c_irreflexive_i @ X1299)|(~(c_transitive_i @ X1299)|~(c_and @ $true @ $true))|(epred81_1 @ X1299))&(((~(c_transitive_i @ X1299)|(c_transitive_i @ X1299)|(~(c_transitive_i @ X1299)|~(c_and @ $true @ $true))|(epred81_1 @ X1299))&(~(c_and @ $false @ $false)|(c_transitive_i @ X1299)|(~(c_transitive_i @ X1299)|~(c_and @ $true @ $true))|(epred81_1 @ X1299)))&((~(c_transitive_i @ X1299)|~(c_and @ $false @ $true)|(~(c_transitive_i @ X1299)|~(c_and @ $true @ $true))|(epred81_1 @ X1299))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_transitive_i @ X1299)|~(c_and @ $true @ $true))|(epred81_1 @ X1299)))))&((~(c_irreflexive_i @ X1299)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|(epred81_1 @ X1299))&(((~(c_transitive_i @ X1299)|(c_transitive_i @ X1299)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|(epred81_1 @ X1299))&(~(c_and @ $false @ $false)|(c_transitive_i @ X1299)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|(epred81_1 @ X1299)))&((~(c_transitive_i @ X1299)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|(epred81_1 @ X1299))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|(epred81_1 @ X1299)))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])])). 176.57/60.88 thf(c_0_57, plain, ![X1504:$i, X1505:$i, X1506:$i]:((((~(c_In @ X1504 @ X1506)|(c_In @ X1504 @ X1506)|~(epred118_2 @ X1505 @ X1504))&(((~(c_In @ X1506 @ X1505)|(c_In @ X1506 @ X1505)|(c_In @ X1504 @ X1506)|~(epred118_2 @ X1505 @ X1504))&(~(c_and @ $false @ $false)|(c_In @ X1506 @ X1505)|(c_In @ X1504 @ X1506)|~(epred118_2 @ X1505 @ X1504)))&((~(c_In @ X1506 @ X1505)|~(c_and @ $false @ $true)|(c_In @ X1504 @ X1506)|~(epred118_2 @ X1505 @ X1504))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(c_In @ X1504 @ X1506)|~(epred118_2 @ X1505 @ X1504)))))&((((~(c_In @ X1504 @ X1506)|(~(c_In @ X1506 @ X1505)|(c_In @ X1506 @ X1505))|~(epred118_2 @ X1505 @ X1504))&(((~(c_In @ X1506 @ X1505)|(c_In @ X1506 @ X1505)|(~(c_In @ X1506 @ X1505)|(c_In @ X1506 @ X1505))|~(epred118_2 @ X1505 @ X1504))&(~(c_and @ $false @ $false)|(c_In @ X1506 @ X1505)|(~(c_In @ X1506 @ X1505)|(c_In @ X1506 @ X1505))|~(epred118_2 @ X1505 @ X1504)))&((~(c_In @ X1506 @ X1505)|~(c_and @ $false @ $true)|(~(c_In @ X1506 @ X1505)|(c_In @ X1506 @ X1505))|~(epred118_2 @ X1505 @ X1504))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_In @ X1506 @ X1505)|(c_In @ X1506 @ X1505))|~(epred118_2 @ X1505 @ X1504)))))&((~(c_In @ X1504 @ X1506)|(~(c_and @ $true @ $false)|(c_In @ X1506 @ X1505))|~(epred118_2 @ X1505 @ X1504))&(((~(c_In @ X1506 @ X1505)|(c_In @ X1506 @ X1505)|(~(c_and @ $true @ $false)|(c_In @ X1506 @ X1505))|~(epred118_2 @ X1505 @ X1504))&(~(c_and @ $false @ $false)|(c_In @ X1506 @ X1505)|(~(c_and @ $true @ $false)|(c_In @ X1506 @ X1505))|~(epred118_2 @ X1505 @ X1504)))&((~(c_In @ X1506 @ X1505)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|(c_In @ X1506 @ X1505))|~(epred118_2 @ X1505 @ X1504))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|(c_In @ X1506 @ X1505))|~(epred118_2 @ X1505 @ X1504))))))&(((~(c_In @ X1504 @ X1506)|(~(c_In @ X1506 @ X1505)|~(c_and @ $true @ $true))|~(epred118_2 @ X1505 @ X1504))&(((~(c_In @ X1506 @ X1505)|(c_In @ X1506 @ X1505)|(~(c_In @ X1506 @ X1505)|~(c_and @ $true @ $true))|~(epred118_2 @ X1505 @ X1504))&(~(c_and @ $false @ $false)|(c_In @ X1506 @ X1505)|(~(c_In @ X1506 @ X1505)|~(c_and @ $true @ $true))|~(epred118_2 @ X1505 @ X1504)))&((~(c_In @ X1506 @ X1505)|~(c_and @ $false @ $true)|(~(c_In @ X1506 @ X1505)|~(c_and @ $true @ $true))|~(epred118_2 @ X1505 @ X1504))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_In @ X1506 @ X1505)|~(c_and @ $true @ $true))|~(epred118_2 @ X1505 @ X1504)))))&((~(c_In @ X1504 @ X1506)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|~(epred118_2 @ X1505 @ X1504))&(((~(c_In @ X1506 @ X1505)|(c_In @ X1506 @ X1505)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|~(epred118_2 @ X1505 @ X1504))&(~(c_and @ $false @ $false)|(c_In @ X1506 @ X1505)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|~(epred118_2 @ X1505 @ X1504)))&((~(c_In @ X1506 @ X1505)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|~(epred118_2 @ X1505 @ X1504))&(~(c_and @ $false @ $false)|~(c_and @ $false @ $true)|(~(c_and @ $true @ $false)|~(c_and @ $true @ $true))|~(epred118_2 @ X1505 @ X1504))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])])])). 176.57/60.88 thf(c_0_58, plain, ![X5:$o, X17:$o]:(((c_and @ ((X5)) @ ((X17)))|~((epred147_2 @ ((X5)) @ ((X17)))))), inference(split_conjunct,[status(thm)],[c_0_23])). 176.57/60.88 thf(c_0_59, plain, ((epred147_2 @ (($true)) @ (($true)))|(c_and @ (($true)) @ (($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_23])])])). 176.57/60.88 thf(c_0_60, plain, ![X3:$i, X1:$i]:(((epred118_2 @ X1 @ X3)|(c_iff @ (~($true)) @ (($true)))|(c_In @ X3 @ (c_Union @ X1)))), inference(split_conjunct,[status(thm)],[c_0_21])). 176.57/60.88 thf(c_0_61, plain, ~((c_iff @ (~($true)) @ (($true)))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_22])])])). 176.57/60.88 thf(c_0_62, plain, ![X1:$i, X22:$i > $i, X3:$i]:(((X22 @ X1)=(X22 @ (X22 @ X3)))), 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_52, c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53]), c_0_53])). 176.57/60.88 thf(c_0_63, plain, ((c_Union @ c_Empty)=(c_Empty)), inference(spm,[status(thm)],[c_0_54, c_0_55])). 176.57/60.88 thf(c_0_64, plain, ![X299:$i > $i > $o]:(((c_irreflexive_i @ X299)<=>![X85:$i]:(((~(X299 @ X85 @ X85)|(c_not @ $true))&((X299 @ X85 @ X85)|(c_not @ $false)))))), inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax30])])])). 176.57/60.88 thf(c_0_65, plain, ![X8:$i > $i > $o]:(((c_transitive_i @ X8)|(c_and @ (~($true)) @ (~($true)))|(c_irreflexive_i @ X8)|~((epred81_1 @ X8)))), inference(split_conjunct,[status(thm)],[c_0_56])). 176.57/60.88 thf(c_0_66, plain, ![X4:$i, X3:$i, X1:$i]:((~((c_In @ X1 @ X3))|~((c_In @ X3 @ X4))|~((c_and @ (($true)) @ (($true))))|~((epred118_2 @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_57])). 176.57/60.88 thf(c_0_67, plain, (c_and @ (($true)) @ (($true))), inference(spm,[status(thm)],[c_0_58, c_0_59])). 176.57/60.88 thf(c_0_68, plain, ![X3:$i, X1:$i]:(((c_In @ X1 @ (c_Union @ X3))|(epred118_2 @ X3 @ X1))), inference(sr,[status(thm)],[c_0_60, c_0_61])). 176.57/60.88 thf(c_0_69, plain, ![X1:$i]:(((c_Union @ X1)=(c_Empty))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_63])). 176.57/60.88 thf(c_0_70, plain, ![X598:$i > $i > $o, X599:$i, X600:$i, X601:$i > $i > $o]:((((~(X598 @ X599 @ X599)|(c_not @ $true)|~(c_irreflexive_i @ X598))&((X598 @ X600 @ X600)|(c_not @ $false)|~(c_irreflexive_i @ X598)))&(((~(X601 @ (esk30_1 @ X601) @ (esk30_1 @ X601))|(X601 @ (esk29_1 @ X601) @ (esk29_1 @ X601))|(c_irreflexive_i @ X601))&(~(c_not @ $false)|(X601 @ (esk29_1 @ X601) @ (esk29_1 @ X601))|(c_irreflexive_i @ X601)))&((~(X601 @ (esk30_1 @ X601) @ (esk30_1 @ X601))|~(c_not @ $true)|(c_irreflexive_i @ X601))&(~(c_not @ $false)|~(c_not @ $true)|(c_irreflexive_i @ X601)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])])])])])])). 176.57/60.88 thf(c_0_71, plain, ![X280:$i > $i > $o]:(((c_transitive_i @ X280)<=>![X62:$i, X3:$i, X4:$i]:(((X280 @ X62 @ X3)=>((X280 @ X3 @ X4)=>(X280 @ X62 @ X4)))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax33])])])). 176.57/60.88 thf(c_0_72, plain, ![X8:$i > $i > $o]:(((c_transitive_i @ X8)|(c_and @ (($true)) @ (~($true)))|~((c_irreflexive_i @ X8))|~((epred81_1 @ X8)))), inference(split_conjunct,[status(thm)],[c_0_56])). 176.57/60.88 thf(c_0_73, plain, ![X8:$i > $i > $o]:(((c_transitive_i @ X8)|(c_irreflexive_i @ X8)|~((epred81_1 @ X8)))), inference(sr,[status(thm)],[c_0_65, c_0_31])). 176.57/60.88 thf(c_0_74, axiom, ![X1:$i, X60:$i]:(((~(c_In @ X60 @ (c_Power @ X1))|((~(c_Subq @ X60 @ X1)|(c_iff @ $true @ $true))&((c_Subq @ X60 @ X1)|(c_iff @ $true @ $false))))&((c_In @ X60 @ (c_Power @ X1))|((~(c_Subq @ X60 @ X1)|(c_iff @ $false @ $true))&((c_Subq @ X60 @ X1)|(c_iff @ $false @ $false)))))), inference(fool_unroll,[status(thm)],[ax7])). 176.57/60.88 thf(c_0_75, plain, ![X1:$i, X3:$i, X4:$i]:((~((c_In @ X1 @ X3))|~((c_In @ X4 @ X1))|~((epred118_2 @ X3 @ X4)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67])])). 176.57/60.88 thf(c_0_76, plain, ![X1:$i, X3:$i]:((epred118_2 @ X1 @ X3)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_68, c_0_69]), c_0_41])). 176.57/60.88 thf(c_0_77, plain, ![X8:$i > $i > $o]:(((X8 @ (esk29_1 @ X8) @ (esk29_1 @ X8))|(c_irreflexive_i @ X8)|~((c_not @ (~($true)))))), inference(split_conjunct,[status(thm)],[c_0_70])). 176.57/60.88 thf(c_0_78, plain, ![X551:$i > $i > $o, X552:$i, X553:$i, X554:$i, X555:$i > $i > $o]:(((~(c_transitive_i @ X551)|(~(X551 @ X552 @ X553)|(~(X551 @ X553 @ X554)|(X551 @ X552 @ X554))))&(((X555 @ (esk20_1 @ X555) @ (esk21_1 @ X555))|(c_transitive_i @ X555))&(((X555 @ (esk21_1 @ X555) @ (esk22_1 @ X555))|(c_transitive_i @ X555))&(~(X555 @ (esk20_1 @ X555) @ (esk22_1 @ X555))|(c_transitive_i @ X555)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])])])])])])). 176.57/60.88 thf(c_0_79, plain, ![X1:$i, X8:$i > $i > $o]:(((c_not @ (($true)))|~((X8 @ X1 @ X1))|~((c_irreflexive_i @ X8)))), inference(split_conjunct,[status(thm)],[c_0_70])). 176.57/60.88 thf(c_0_80, plain, ![X8:$i > $i > $o]:(((c_and @ (~($true)) @ (($true)))|(c_irreflexive_i @ X8)|~((c_transitive_i @ X8))|~((epred81_1 @ X8)))), inference(split_conjunct,[status(thm)],[c_0_56])). 176.57/60.88 thf(c_0_81, plain, ![X18:$o]:(~((c_and @ (~($true)) @ ((X18))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_23])])])). 176.57/60.88 thf(c_0_82, plain, ![X8:$i > $i > $o]:(((c_transitive_i @ X8)|~((epred81_1 @ X8)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_72, c_0_31]), c_0_73])). 176.57/60.88 thf(c_0_83, plain, ![X549:$i, X550:$i]:((((~(c_Subq @ X550 @ X549)|(c_iff @ $true @ $true)|~(c_In @ X550 @ (c_Power @ X549)))&((c_Subq @ X550 @ X549)|(c_iff @ $true @ $false)|~(c_In @ X550 @ (c_Power @ X549))))&((~(c_Subq @ X550 @ X549)|(c_iff @ $false @ $true)|(c_In @ X550 @ (c_Power @ X549)))&((c_Subq @ X550 @ X549)|(c_iff @ $false @ $false)|(c_In @ X550 @ (c_Power @ X549)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_74])])])). 176.57/60.88 thf(c_0_84, plain, ![X4:$i, X3:$i, X1:$i]:((~((c_In @ X1 @ X3))|~((c_In @ X4 @ X1)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_76])])). 176.57/60.88 thf(c_0_85, plain, ![X8:$i > $i > $o]:(((X8 @ (esk29_1 @ X8) @ (esk29_1 @ X8))|(c_irreflexive_i @ X8))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_45])])). 176.57/60.88 thf(c_0_86, plain, ![X8:$i > $i > $o]:(((X8 @ (esk21_1 @ X8) @ (esk22_1 @ X8))|(c_transitive_i @ X8))), inference(split_conjunct,[status(thm)],[c_0_78])). 176.57/60.88 thf(c_0_87, plain, ![X57:$i > $o]:((![X59:$i]:((![X3:$i]:(((c_In @ X3 @ X59)=>(X57 @ X3)))=>(X57 @ X59)))=>![X58:$i]:((X57 @ X58)))), inference(fof_simplification,[status(thm)],[ax10])). 176.57/60.88 thf(c_0_88, plain, ![X2008:$i, X2009:$i > $o]:((((~(X2009 @ X2008)|(c_not @ $true)|~(epred160_1 @ X2009 @ X2008))&((X2009 @ X2008)|(c_not @ $false)|~(epred160_1 @ X2009 @ X2008)))&(((~(X2009 @ X2008)|(X2009 @ X2008)|(epred160_1 @ X2009 @ X2008))&(~(c_not @ $false)|(X2009 @ X2008)|(epred160_1 @ X2009 @ X2008)))&((~(X2009 @ X2008)|~(c_not @ $true)|(epred160_1 @ X2009 @ X2008))&(~(c_not @ $false)|~(c_not @ $true)|(epred160_1 @ X2009 @ X2008)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fool_unroll,[status(thm)],[])])])])])). 176.57/60.88 thf(c_0_89, plain, ![X8:$i > $i > $o, X1:$i]:((~((c_irreflexive_i @ X8))|~((X8 @ X1 @ X1)))), inference(sr,[status(thm)],[c_0_79, c_0_35])). 176.57/60.88 thf(c_0_90, plain, ![X8:$i > $i > $o]:(((c_irreflexive_i @ X8)|~((epred81_1 @ X8)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_80, c_0_81]), c_0_82])). 176.57/60.88 thf(c_0_91, plain, ![X1:$i, X3:$i]:(((c_iff @ (~($true)) @ (($true)))|(c_In @ X1 @ (c_Power @ X3))|~((c_Subq @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_83])). 176.57/60.88 thf(c_0_92, plain, ![X8:$i > $i > $o]:(((epred81_1 @ X8)|~((c_irreflexive_i @ X8))|~((c_transitive_i @ X8))|~((c_and @ (($true)) @ (($true)))))), inference(split_conjunct,[status(thm)],[c_0_56])). 176.57/60.88 thf(c_0_93, plain, ![X1:$i]:(((c_irreflexive_i @ c_In)|~((c_In @ X1 @ (esk29_1 @ c_In))))), inference(spm,[status(thm)],[c_0_84, c_0_85])). 176.57/60.88 thf(c_0_94, plain, ![X1:$i]:(((c_transitive_i @ c_In)|~((c_In @ X1 @ (esk21_1 @ c_In))))), inference(spm,[status(thm)],[c_0_84, c_0_86])). 176.57/60.88 thf(c_0_95, plain, ![X8:$i > $i > $o]:(((X8 @ (esk20_1 @ X8) @ (esk21_1 @ X8))|(c_transitive_i @ X8))), inference(split_conjunct,[status(thm)],[c_0_78])). 176.57/60.88 thf(c_0_96, plain, ![X1963:$i, X1964:$i > $i]:(((esk214_0 @ X1964 @ X1963)=(c_Power @ (X1964 @ X1963)))), inference(variable_rename,[status(thm)],[])). 176.57/60.88 thf(c_0_97, plain, ![X545:$i > $o, X547:$i, X548:$i]:(((~(c_In @ X547 @ (esk19_1 @ X545))|(X545 @ X547)|(X545 @ X548))&(~(X545 @ (esk19_1 @ X545))|(X545 @ X548)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])])])])])). 176.57/60.88 thf(c_0_98, plain, ![X2:$i > $o, X1:$i]:(((X2 @ X1)|(epred160_1 @ X2 @ X1)|~((c_not @ (~($true)))))), inference(split_conjunct,[status(thm)],[c_0_88])). 176.57/60.88 thf(c_0_99, plain, ![X1:$i, X8:$i > $i > $o]:((~((X8 @ X1 @ X1))|~((epred81_1 @ X8)))), inference(spm,[status(thm)],[c_0_89, c_0_90])). 176.57/60.88 thf(c_0_100, plain, ![X1:$i, X3:$i]:(((c_In @ X1 @ (c_Power @ X3))|~((c_Subq @ X1 @ X3)))), inference(sr,[status(thm)],[c_0_91, c_0_61])). 176.57/60.88 thf(c_0_101, plain, ![X8:$i > $i > $o]:(((epred81_1 @ X8)|~((c_irreflexive_i @ X8))|~((c_transitive_i @ X8)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92, c_0_67])])). 176.57/60.88 thf(c_0_102, plain, (c_irreflexive_i @ c_In), inference(spm,[status(thm)],[c_0_93, c_0_85])). 176.57/60.88 thf(c_0_103, plain, (c_transitive_i @ c_In), inference(spm,[status(thm)],[c_0_94, c_0_95])). 176.57/60.88 thf(c_0_104, plain, ![X22:$i > $i, X1:$i]:(((esk214_0 @ X22 @ X1)=(c_Power @ (X22 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_96])). 176.57/60.88 thf(c_0_105, plain, ![X2:$i > $o, X1:$i]:(((c_not @ (($true)))|~((X2 @ X1))|~((epred160_1 @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_88])). 176.57/60.88 thf(c_0_106, plain, ![X1:$i, X2:$i > $o]:(((X2 @ X1)|~((X2 @ (esk19_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_97])). 176.57/60.88 thf(c_0_107, plain, ![X2:$i > $o, X1:$i]:(((epred160_1 @ X2 @ X1)|(X2 @ X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98, c_0_45])])). 176.57/60.88 thf(c_0_108, plain, ![X1:$i]:((~((c_Subq @ (c_Power @ X1) @ X1))|~((epred81_1 @ c_In)))), inference(spm,[status(thm)],[c_0_99, c_0_100])). 176.57/60.88 thf(c_0_109, plain, (epred81_1 @ c_In), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101, c_0_102]), c_0_103])])). 176.57/60.88 thf(c_0_110, plain, ![X1:$i, X3:$i]:(((c_Power @ X1)=(esk214_0 @ c_Power @ X3))), inference(spm,[status(thm)],[c_0_104, c_0_62])). 176.57/60.88 thf(c_0_111, plain, ![X2:$i > $o, X1:$i]:((~((epred160_1 @ X2 @ X1))|~((X2 @ X1)))), inference(sr,[status(thm)],[c_0_105, c_0_35])). 176.57/60.88 thf(c_0_112, plain, ![X2:$i > $o, X1:$i]:(((X2 @ (esk19_1 @ (epred160_1 @ X2)))|(epred160_1 @ X2 @ X1))), inference(spm,[status(thm)],[c_0_106, c_0_107])). 176.57/60.88 thf(c_0_113, plain, ![X1:$i, X3:$i]:(((c_Subq @ X1 @ X3)|~((c_In @ (esk40_2 @ X1 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_36])). 176.57/60.88 thf(c_0_114, plain, ![X1:$i]:(~((c_Subq @ (c_Power @ X1) @ X1))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108, c_0_109])])). 176.57/60.88 thf(c_0_115, plain, ![X1:$i, X3:$i]:(((c_Power @ X1)=(c_Power @ X3))), inference(spm,[status(thm)],[c_0_110, c_0_110])). 176.57/60.88 thf(c_0_116, plain, ![X2:$i > $o, X1:$i]:(((X2 @ (esk19_1 @ (epred160_1 @ X2)))|~((X2 @ X1)))), inference(spm,[status(thm)],[c_0_111, c_0_112])). 176.57/60.88 thf(c_0_117, plain, ![X1:$i]:((c_Subq @ X1 @ X1)), inference(spm,[status(thm)],[c_0_113, c_0_42])). 176.57/60.88 thf(c_0_118, plain, ![X1:$i, X3:$i]:(~((c_Subq @ (c_Power @ X1) @ X3))), inference(spm,[status(thm)],[c_0_114, c_0_115])). 176.57/60.88 thf(c_0_119, plain, ![X1:$i]:((c_Subq @ X1 @ (esk19_1 @ (epred160_1 @ (c_Subq @ X1))))), inference(spm,[status(thm)],[c_0_116, c_0_117])). 176.57/60.88 thf(c_0_120, plain, ($false), inference(spm,[status(thm)],[c_0_118, c_0_119]), ['proof']). 176.57/60.88 % SZS output end CNFRefutation 176.57/60.88 % Parsed axioms : 213 176.57/60.88 % Removed by relevancy pruning/SinE : 0 176.57/60.88 % Initial clauses : 468687 176.57/60.88 % Removed in clause preprocessing : 463862 176.57/60.88 % Initial clauses in saturation : 4825 176.57/60.88 % Processed clauses : 48767 176.57/60.88 % ...of these trivial : 1139 176.57/60.88 % ...subsumed : 42055 176.57/60.88 % ...remaining for further processing : 5573 176.57/60.88 % Other redundant clauses eliminated : 83 176.57/60.88 % Clauses deleted for lack of memory : 0 176.57/60.88 % Backward-subsumed : 413 176.57/60.88 % Backward-rewritten : 340 176.57/60.88 % Generated clauses : 162966 176.57/60.88 % ...of the previous two non-redundant : 158548 176.57/60.88 % ...aggressively subsumed : 0 176.57/60.88 % Contextual simplify-reflections : 172 176.57/60.88 % Paramodulations : 162878 176.57/60.88 % Factorizations : 0 176.57/60.88 % NegExts : 0 176.57/60.88 % Equation resolutions : 83 176.57/60.88 % Disequality decompositions : 0 176.57/60.88 % Total rewrite steps : 22435 176.57/60.88 % ...of those cached : 20156 176.57/60.88 % Propositional unsat checks : 0 176.57/60.88 % Propositional check models : 0 176.57/60.88 % Propositional check unsatisfiable : 0 176.57/60.88 % Propositional clauses : 0 176.57/60.88 % Propositional clauses after purity: 0 176.57/60.88 % Propositional unsat core size : 0 176.57/60.88 % Propositional preprocessing time : 0.000 176.57/60.88 % Propositional encoding time : 0.000 176.57/60.88 % Propositional solver time : 0.000 176.57/60.88 % Success case prop preproc time : 0.000 176.57/60.88 % Success case prop encoding time : 0.000 176.57/60.88 % Success case prop solver time : 0.000 176.57/60.88 % Current number of processed clauses : 4790 176.57/60.88 % Positive orientable unit clauses : 369 176.57/60.88 % Positive unorientable unit clauses: 6 176.57/60.88 % Negative unit clauses : 177 176.57/60.88 % Non-unit-clauses : 4238 176.57/60.88 % Current number of unprocessed clauses: 113511 176.57/60.88 % ...number of literals in the above : 428139 176.57/60.88 % Current number of archived formulas : 0 176.57/60.88 % Current number of archived clauses : 753 176.57/60.88 % Clause-clause subsumption calls (NU) : 12026823 176.57/60.88 % Rec. Clause-clause subsumption calls : 7796373 176.57/60.88 % Non-unit clause-clause subsumptions : 39902 176.57/60.88 % Unit Clause-clause subsumption calls : 409921 176.57/60.88 % Rewrite failures with RHS unbound : 929 176.57/60.88 % BW rewrite match attempts : 10871 176.57/60.88 % BW rewrite match successes : 517 176.57/60.88 % Condensation attempts : 0 176.57/60.88 % Condensation successes : 0 176.57/60.88 % Termbank termtop insertions : 22249399 176.57/60.88 % Search garbage collected termcells : 2011523 176.57/60.88 176.57/60.88 % ------------------------------------------------- 176.57/60.88 % User time : 55.737 s 176.57/60.88 % System time : 2.659 s 176.57/60.88 % Total time : 58.396 s 176.57/60.88 % Maximum resident set size: 1256624 pages 176.57/60.88 176.57/60.88 % ------------------------------------------------- 176.57/60.88 % User time : 55.745 s 176.57/60.88 % System time : 2.960 s 176.57/60.88 % Total time : 58.705 s 176.57/60.88 % Maximum resident set size: 4864 pages 176.57/60.88 % E exiting 176.57/60.89 EOF