0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.09/0.36 % Computer : n024.cluster.edu 0.09/0.36 % Model : x86_64 x86_64 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.36 % Memory : 8046.5625MB 0.09/0.36 % OS : Linux 6.8.0-71-generic 0.09/0.36 % CPULimit : 1440 0.09/0.36 % WCLimit : 180 0.09/0.36 % DateTime : Mon Jul 27 06:19:30 UTC 2026 0.09/0.36 % CPUTime : 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.09/0.40 Running higher-order theorem proving 0.09/0.42 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.SGWpYXRfIn/E---3.1_2939118.p 0.09/0.46 % Version: 3.5.1-ho 0.09/0.46 % Preprocessing class: HSSSSMSSMLSNHSN. 0.09/0.46 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.09/0.46 % Starting new_ho_9 with 900s (5) cores 0.09/0.46 % Starting post_as_ho1 with 180s (1) cores 0.09/0.46 % Starting sh1l with 180s (1) cores 0.09/0.46 % Starting post_as_ho10 with 180s (1) cores 0.09/0.46 % post_as_ho10 with pid 2939134 completed with status 0 0.09/0.46 % Result found by post_as_ho10 0.09/0.46 % Preprocessing class: HSSSSMSSMLSNHSN. 0.09/0.46 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.09/0.46 % Starting new_ho_9 with 900s (5) cores 0.09/0.46 % Starting post_as_ho1 with 180s (1) cores 0.09/0.46 % Starting sh1l with 180s (1) cores 0.09/0.46 % Starting post_as_ho10 with 180s (1) cores 0.09/0.46 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.09/0.46 % No SInE strategy applied 0.09/0.46 % Search class: HGHSF-FFMS00-SHSSMFNN 0.09/0.46 % partial match(2): HGHNF-FFSS00-SHSSMFNN 0.09/0.46 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.09/0.46 % Starting SubtermCWHack with 17s (1) cores 0.09/0.46 % SubtermCWHack with pid 2939142 completed with status 0 0.09/0.46 % Result found by SubtermCWHack 0.09/0.46 % Preprocessing class: HSSSSMSSMLSNHSN. 0.09/0.46 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.09/0.46 % Starting new_ho_9 with 900s (5) cores 0.09/0.46 % Starting post_as_ho1 with 180s (1) cores 0.09/0.46 % Starting sh1l with 180s (1) cores 0.09/0.46 % Starting post_as_ho10 with 180s (1) cores 0.09/0.46 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 0.09/0.46 % No SInE strategy applied 0.09/0.46 % Search class: HGHSF-FFMS00-SHSSMFNN 0.09/0.46 % partial match(2): HGHNF-FFSS00-SHSSMFNN 0.09/0.46 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.09/0.46 % Starting SubtermCWHack with 17s (1) cores 0.09/0.46 % Preprocessing time : 0.001 s 0.09/0.46 0.09/0.46 % Proof found! 0.09/0.46 % SZS status Theorem 0.09/0.46 % SZS output start CNFRefutation 0.09/0.46 thf(decl_28, type, refl: ($i > $i > $o) > $o). 0.09/0.46 thf(decl_30, type, rc: ($i > $i > $o) > $i > $i > $o). 0.09/0.46 thf(decl_32, type, antisymm: ($i > $i > $o) > $o). 0.09/0.46 thf(decl_33, type, asymm: ($i > $i > $o) > $o). 0.09/0.46 thf(decl_35, type, trans: ($i > $i > $o) > $o). 0.09/0.46 thf(decl_39, type, po: ($i > $i > $o) > $o). 0.09/0.46 thf(decl_40, type, so: ($i > $i > $o) > $o). 0.09/0.46 thf(decl_52, type, epred1_0: $i > $i > $o). 0.09/0.46 thf(decl_53, type, esk1_0: $i). 0.09/0.46 thf(decl_54, type, esk2_0: $i). 0.09/0.46 thf(decl_55, type, esk3_0: $i). 0.09/0.46 thf(decl_56, type, esk4_0: $i). 0.09/0.46 thf(decl_57, type, esk5_0: $i). 0.09/0.46 thf(decl_58, type, esk6_0: $i). 0.09/0.46 thf(partial_order, axiom, ((po)=(^[X1:$i > $i > $o]:((((((refl @ X1))&((antisymm @ X1))))&((trans @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.SGWpYXRfIn/E---3.1_2939118.p', partial_order)). 0.09/0.46 thf(reflexive, axiom, ((refl)=(^[X1:$i > $i > $o]:(![X3:$i]:((X1 @ X3 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.SGWpYXRfIn/E---3.1_2939118.p', reflexive)). 0.09/0.46 thf(antisymmetric, axiom, ((antisymm)=(^[X1:$i > $i > $o]:(![X3:$i, X4:$i]:((((((X1 @ X3 @ X4))&((X1 @ X4 @ X3))))=>(((X3)=(X4)))))))), file('/export/starexec/sandbox2/tmp/tmp.SGWpYXRfIn/E---3.1_2939118.p', antisymmetric)). 0.09/0.46 thf(transitive, axiom, ((trans)=(^[X1:$i > $i > $o]:(![X3:$i, X4:$i, X6:$i]:((((((X1 @ X3 @ X4))&((X1 @ X4 @ X6))))=>((X1 @ X3 @ X6))))))), file('/export/starexec/sandbox2/tmp/tmp.SGWpYXRfIn/E---3.1_2939118.p', transitive)). 0.09/0.46 thf(strict_order, axiom, ((so)=(^[X1:$i > $i > $o]:((((asymm @ X1))&((trans @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.SGWpYXRfIn/E---3.1_2939118.p', strict_order)). 0.09/0.46 thf(asymmetric, axiom, ((asymm)=(^[X1:$i > $i > $o]:(![X3:$i, X4:$i]:((((X1 @ X3 @ X4))=>(~((X1 @ X4 @ X3)))))))), file('/export/starexec/sandbox2/tmp/tmp.SGWpYXRfIn/E---3.1_2939118.p', asymmetric)). 0.09/0.46 thf(strict_order_induces_partial_order, conjecture, ![X1:$i > $i > $o]:(((so @ X1)=>(po @ (rc @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.SGWpYXRfIn/E---3.1_2939118.p', strict_order_induces_partial_order)). 0.09/0.46 thf(reflexive_closure, axiom, ((rc)=(^[X1:$i > $i > $o, X3:$i, X4:$i]:(((((X3)=(X4)))|((X1 @ X3 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.SGWpYXRfIn/E---3.1_2939118.p', reflexive_closure)). 0.09/0.46 thf(c_0_8, plain, ((po)=(^[Z0:$i > $i > $o]:((((((![X33:$i]:((Z0 @ X33 @ X33))))&((![X34:$i, X35:$i]:((((((Z0 @ X34 @ X35))&((Z0 @ X35 @ X34))))=>(((X34)=(X35)))))))))&((![X36:$i, X37:$i, X38:$i]:((((((Z0 @ X36 @ X37))&((Z0 @ X37 @ X38))))=>((Z0 @ X36 @ X38)))))))))), inference(fof_simplification,[status(thm)],[partial_order])). 0.09/0.46 thf(c_0_9, plain, ((refl)=(^[Z0:$i > $i > $o]:(![X3:$i]:((Z0 @ X3 @ X3))))), inference(fof_simplification,[status(thm)],[reflexive])). 0.09/0.46 thf(c_0_10, plain, ((antisymm)=(^[Z0:$i > $i > $o]:(![X3:$i, X4:$i]:((((((Z0 @ X3 @ X4))&((Z0 @ X4 @ X3))))=>(((X3)=(X4)))))))), inference(fof_simplification,[status(thm)],[antisymmetric])). 0.09/0.46 thf(c_0_11, plain, ((trans)=(^[Z0:$i > $i > $o]:(![X3:$i, X4:$i, X6:$i]:((((((Z0 @ X3 @ X4))&((Z0 @ X4 @ X6))))=>((Z0 @ X3 @ X6))))))), inference(fof_simplification,[status(thm)],[transitive])). 0.09/0.46 thf(c_0_12, plain, ((so)=(^[Z0:$i > $i > $o]:((((![X39:$i, X40:$i]:((((Z0 @ X39 @ X40))=>(~((Z0 @ X40 @ X39)))))))&((![X41:$i, X42:$i, X43:$i]:((((((Z0 @ X41 @ X42))&((Z0 @ X42 @ X43))))=>((Z0 @ X41 @ X43)))))))))), inference(fof_simplification,[status(thm)],[strict_order])). 0.09/0.46 thf(c_0_13, plain, ((asymm)=(^[Z0:$i > $i > $o]:(![X3:$i, X4:$i]:((((Z0 @ X3 @ X4))=>(~((Z0 @ X4 @ X3)))))))), inference(fof_simplification,[status(thm)],[asymmetric])). 0.09/0.46 thf(c_0_14, negated_conjecture, ~(![X1:$i > $i > $o]:(((so @ X1)=>(po @ (rc @ X1))))), inference(assume_negation,[status(cth)],[strict_order_induces_partial_order])). 0.09/0.46 thf(c_0_15, plain, ((rc)=(^[Z0:$i > $i > $o, Z1:$i, Z2:$i]:(((((Z1)=(Z2)))|((Z0 @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[reflexive_closure])). 0.09/0.46 thf(c_0_16, plain, ((po)=(^[Z0:$i > $i > $o]:((((((![X33:$i]:((Z0 @ X33 @ X33))))&((![X34:$i, X35:$i]:((((((Z0 @ X34 @ X35))&((Z0 @ X35 @ X34))))=>(((X34)=(X35)))))))))&((![X36:$i, X37:$i, X38:$i]:((((((Z0 @ X36 @ X37))&((Z0 @ X37 @ X38))))=>((Z0 @ X36 @ X38)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8, c_0_9]), c_0_10]), c_0_11])). 0.09/0.46 thf(c_0_17, plain, ((so)=(^[Z0:$i > $i > $o]:((((![X39:$i, X40:$i]:((((Z0 @ X39 @ X40))=>(~((Z0 @ X40 @ X39)))))))&((![X41:$i, X42:$i, X43:$i]:((((((Z0 @ X41 @ X42))&((Z0 @ X42 @ X43))))=>((Z0 @ X41 @ X43)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_12, c_0_13]), c_0_11])). 0.09/0.46 thf(c_0_18, negated_conjecture, ~(![X1:$i > $i > $o]:(((![X158:$i, X159:$i]:(((X1 @ X158 @ X159)=>~((X1 @ X159 @ X158))))&![X160:$i, X161:$i, X162:$i]:((((X1 @ X160 @ X161)&(X1 @ X161 @ X162))=>(X1 @ X160 @ X162))))=>((![X163:$i]:((((X163)=(X163))|(X1 @ X163 @ X163)))&![X164:$i, X165:$i]:((((((X164)=(X165))|(X1 @ X164 @ X165))&(((X165)=(X164))|(X1 @ X165 @ X164)))=>((X164)=(X165)))))&![X166:$i, X167:$i, X168:$i]:((((((X166)=(X167))|(X1 @ X166 @ X167))&(((X167)=(X168))|(X1 @ X167 @ X168)))=>(((X166)=(X168))|(X1 @ X166 @ X168)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_17])). 0.09/0.46 thf(c_0_19, negated_conjecture, ![X170:$i, X171:$i, X172:$i, X173:$i, X174:$i]:((((~(epred1_0 @ X170 @ X171)|~(epred1_0 @ X171 @ X170))&(~(epred1_0 @ X172 @ X173)|~(epred1_0 @ X173 @ X174)|(epred1_0 @ X172 @ X174)))&((((((((esk4_0)=(esk5_0))|(epred1_0 @ esk4_0 @ esk5_0)|(((esk2_0)=(esk3_0))|(epred1_0 @ esk2_0 @ esk3_0)|((esk1_0)!=(esk1_0))))&(((esk5_0)=(esk6_0))|(epred1_0 @ esk5_0 @ esk6_0)|(((esk2_0)=(esk3_0))|(epred1_0 @ esk2_0 @ esk3_0)|((esk1_0)!=(esk1_0)))))&((((esk4_0)!=(esk6_0))|(((esk2_0)=(esk3_0))|(epred1_0 @ esk2_0 @ esk3_0)|((esk1_0)!=(esk1_0))))&(~(epred1_0 @ esk4_0 @ esk6_0)|(((esk2_0)=(esk3_0))|(epred1_0 @ esk2_0 @ esk3_0)|((esk1_0)!=(esk1_0))))))&(((((esk4_0)=(esk5_0))|(epred1_0 @ esk4_0 @ esk5_0)|(((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|((esk1_0)!=(esk1_0))))&(((esk5_0)=(esk6_0))|(epred1_0 @ esk5_0 @ esk6_0)|(((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|((esk1_0)!=(esk1_0)))))&((((esk4_0)!=(esk6_0))|(((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|((esk1_0)!=(esk1_0))))&(~(epred1_0 @ esk4_0 @ esk6_0)|(((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|((esk1_0)!=(esk1_0)))))))&(((((esk4_0)=(esk5_0))|(epred1_0 @ esk4_0 @ esk5_0)|(((esk2_0)!=(esk3_0))|((esk1_0)!=(esk1_0))))&(((esk5_0)=(esk6_0))|(epred1_0 @ esk5_0 @ esk6_0)|(((esk2_0)!=(esk3_0))|((esk1_0)!=(esk1_0)))))&((((esk4_0)!=(esk6_0))|(((esk2_0)!=(esk3_0))|((esk1_0)!=(esk1_0))))&(~(epred1_0 @ esk4_0 @ esk6_0)|(((esk2_0)!=(esk3_0))|((esk1_0)!=(esk1_0)))))))&(((((((esk4_0)=(esk5_0))|(epred1_0 @ esk4_0 @ esk5_0)|(((esk2_0)=(esk3_0))|(epred1_0 @ esk2_0 @ esk3_0)|~(epred1_0 @ esk1_0 @ esk1_0)))&(((esk5_0)=(esk6_0))|(epred1_0 @ esk5_0 @ esk6_0)|(((esk2_0)=(esk3_0))|(epred1_0 @ esk2_0 @ esk3_0)|~(epred1_0 @ esk1_0 @ esk1_0))))&((((esk4_0)!=(esk6_0))|(((esk2_0)=(esk3_0))|(epred1_0 @ esk2_0 @ esk3_0)|~(epred1_0 @ esk1_0 @ esk1_0)))&(~(epred1_0 @ esk4_0 @ esk6_0)|(((esk2_0)=(esk3_0))|(epred1_0 @ esk2_0 @ esk3_0)|~(epred1_0 @ esk1_0 @ esk1_0)))))&(((((esk4_0)=(esk5_0))|(epred1_0 @ esk4_0 @ esk5_0)|(((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|~(epred1_0 @ esk1_0 @ esk1_0)))&(((esk5_0)=(esk6_0))|(epred1_0 @ esk5_0 @ esk6_0)|(((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|~(epred1_0 @ esk1_0 @ esk1_0))))&((((esk4_0)!=(esk6_0))|(((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|~(epred1_0 @ esk1_0 @ esk1_0)))&(~(epred1_0 @ esk4_0 @ esk6_0)|(((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|~(epred1_0 @ esk1_0 @ esk1_0))))))&(((((esk4_0)=(esk5_0))|(epred1_0 @ esk4_0 @ esk5_0)|(((esk2_0)!=(esk3_0))|~(epred1_0 @ esk1_0 @ esk1_0)))&(((esk5_0)=(esk6_0))|(epred1_0 @ esk5_0 @ esk6_0)|(((esk2_0)!=(esk3_0))|~(epred1_0 @ esk1_0 @ esk1_0))))&((((esk4_0)!=(esk6_0))|(((esk2_0)!=(esk3_0))|~(epred1_0 @ esk1_0 @ esk1_0)))&(~(epred1_0 @ esk4_0 @ esk6_0)|(((esk2_0)!=(esk3_0))|~(epred1_0 @ esk1_0 @ esk1_0))))))))), 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_18])])])])])])). 0.09/0.46 thf(c_0_20, negated_conjecture, (((esk5_0)=(esk6_0))|(epred1_0 @ esk5_0 @ esk6_0)|((esk2_0)=(esk3_0))|(epred1_0 @ esk2_0 @ esk3_0)|((esk1_0)!=(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_21, negated_conjecture, (((esk5_0)=(esk6_0))|(epred1_0 @ esk5_0 @ esk6_0)|((esk2_0)!=(esk3_0))|((esk1_0)!=(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_22, negated_conjecture, (((esk3_0)=(esk2_0))|((esk6_0)=(esk5_0))|(epred1_0 @ esk2_0 @ esk3_0)|(epred1_0 @ esk5_0 @ esk6_0)), inference(cn,[status(thm)],[c_0_20])). 0.09/0.46 thf(c_0_23, negated_conjecture, (((esk6_0)=(esk5_0))|(epred1_0 @ esk5_0 @ esk6_0)|((esk3_0)!=(esk2_0))), inference(cn,[status(thm)],[c_0_21])). 0.09/0.46 thf(c_0_24, negated_conjecture, (((esk4_0)=(esk5_0))|(epred1_0 @ esk4_0 @ esk5_0)|((esk2_0)=(esk3_0))|(epred1_0 @ esk2_0 @ esk3_0)|((esk1_0)!=(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_25, negated_conjecture, (((esk4_0)=(esk5_0))|(epred1_0 @ esk4_0 @ esk5_0)|((esk2_0)!=(esk3_0))|((esk1_0)!=(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_26, negated_conjecture, (((esk2_0)=(esk3_0))|(epred1_0 @ esk2_0 @ esk3_0)|~((epred1_0 @ esk4_0 @ esk6_0))|((esk1_0)!=(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_27, negated_conjecture, (~((epred1_0 @ esk4_0 @ esk6_0))|((esk2_0)!=(esk3_0))|((esk1_0)!=(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_28, negated_conjecture, (((esk5_0)=(esk6_0))|(epred1_0 @ esk5_0 @ esk6_0)|((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|((esk1_0)!=(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_29, negated_conjecture, ![X3:$i, X4:$i, X6:$i]:(((epred1_0 @ X3 @ X6)|~((epred1_0 @ X3 @ X4))|~((epred1_0 @ X4 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_30, negated_conjecture, (((esk6_0)=(esk5_0))|(epred1_0 @ esk5_0 @ esk6_0)|(epred1_0 @ esk2_0 @ esk3_0)), inference(csr,[status(thm)],[c_0_22, c_0_23])). 0.09/0.46 thf(c_0_31, negated_conjecture, (((esk3_0)=(esk2_0))|((esk5_0)=(esk4_0))|(epred1_0 @ esk2_0 @ esk3_0)|(epred1_0 @ esk4_0 @ esk5_0)), inference(cn,[status(thm)],[c_0_24])). 0.09/0.46 thf(c_0_32, negated_conjecture, (((esk5_0)=(esk4_0))|(epred1_0 @ esk4_0 @ esk5_0)|((esk3_0)!=(esk2_0))), inference(cn,[status(thm)],[c_0_25])). 0.09/0.46 thf(c_0_33, negated_conjecture, (((esk3_0)=(esk2_0))|(epred1_0 @ esk2_0 @ esk3_0)|~((epred1_0 @ esk4_0 @ esk6_0))), inference(cn,[status(thm)],[c_0_26])). 0.09/0.46 thf(c_0_34, negated_conjecture, (((esk3_0)!=(esk2_0))|~((epred1_0 @ esk4_0 @ esk6_0))), inference(cn,[status(thm)],[c_0_27])). 0.09/0.46 thf(c_0_35, negated_conjecture, (((esk3_0)=(esk2_0))|((esk6_0)=(esk5_0))|(epred1_0 @ esk3_0 @ esk2_0)|(epred1_0 @ esk5_0 @ esk6_0)), inference(cn,[status(thm)],[c_0_28])). 0.09/0.46 thf(c_0_36, negated_conjecture, (((esk4_0)=(esk5_0))|(epred1_0 @ esk4_0 @ esk5_0)|((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|((esk1_0)!=(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_37, negated_conjecture, (((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|~((epred1_0 @ esk4_0 @ esk6_0))|((esk1_0)!=(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_38, negated_conjecture, ![X3:$i]:((((esk6_0)=(esk5_0))|(epred1_0 @ esk2_0 @ esk3_0)|(epred1_0 @ X3 @ esk6_0)|~((epred1_0 @ X3 @ esk5_0)))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 0.09/0.46 thf(c_0_39, negated_conjecture, (((esk4_0)=(esk5_0))|(epred1_0 @ esk4_0 @ esk5_0)|(epred1_0 @ esk2_0 @ esk3_0)), inference(csr,[status(thm)],[c_0_31, c_0_32])). 0.09/0.46 thf(c_0_40, negated_conjecture, ((epred1_0 @ esk2_0 @ esk3_0)|~((epred1_0 @ esk4_0 @ esk6_0))), inference(csr,[status(thm)],[c_0_33, c_0_34])). 0.09/0.46 thf(c_0_41, negated_conjecture, (((esk6_0)=(esk5_0))|(epred1_0 @ esk5_0 @ esk6_0)|(epred1_0 @ esk3_0 @ esk2_0)), inference(csr,[status(thm)],[c_0_35, c_0_23])). 0.09/0.46 thf(c_0_42, negated_conjecture, (((esk3_0)=(esk2_0))|((esk5_0)=(esk4_0))|(epred1_0 @ esk3_0 @ esk2_0)|(epred1_0 @ esk4_0 @ esk5_0)), inference(cn,[status(thm)],[c_0_36])). 0.09/0.46 thf(c_0_43, negated_conjecture, (((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|~((epred1_0 @ esk4_0 @ esk6_0))), inference(cn,[status(thm)],[c_0_37])). 0.09/0.46 thf(c_0_44, negated_conjecture, ![X4:$i, X3:$i]:((~((epred1_0 @ X3 @ X4))|~((epred1_0 @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_45, negated_conjecture, (((esk4_0)=(esk5_0))|((esk6_0)=(esk5_0))|(epred1_0 @ esk2_0 @ esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])). 0.09/0.46 thf(c_0_46, negated_conjecture, (((esk2_0)=(esk3_0))|(epred1_0 @ esk2_0 @ esk3_0)|((esk4_0)!=(esk6_0))|((esk1_0)!=(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_47, negated_conjecture, (((esk4_0)!=(esk6_0))|((esk2_0)!=(esk3_0))|((esk1_0)!=(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_48, negated_conjecture, ![X3:$i]:((((esk6_0)=(esk5_0))|(epred1_0 @ esk3_0 @ esk2_0)|(epred1_0 @ X3 @ esk6_0)|~((epred1_0 @ X3 @ esk5_0)))), inference(spm,[status(thm)],[c_0_29, c_0_41])). 0.09/0.46 thf(c_0_49, negated_conjecture, (((esk4_0)=(esk5_0))|(epred1_0 @ esk4_0 @ esk5_0)|(epred1_0 @ esk3_0 @ esk2_0)), inference(csr,[status(thm)],[c_0_42, c_0_32])). 0.09/0.46 thf(c_0_50, negated_conjecture, ((epred1_0 @ esk3_0 @ esk2_0)|~((epred1_0 @ esk4_0 @ esk6_0))), inference(csr,[status(thm)],[c_0_43, c_0_34])). 0.09/0.46 thf(c_0_51, negated_conjecture, (((esk6_0)=(esk5_0))|((esk4_0)=(esk5_0))|~((epred1_0 @ esk3_0 @ esk2_0))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 0.09/0.46 thf(c_0_52, negated_conjecture, (((esk3_0)=(esk2_0))|(epred1_0 @ esk2_0 @ esk3_0)|((esk6_0)!=(esk4_0))), inference(cn,[status(thm)],[c_0_46])). 0.09/0.46 thf(c_0_53, negated_conjecture, (((esk3_0)!=(esk2_0))|((esk6_0)!=(esk4_0))), inference(cn,[status(thm)],[c_0_47])). 0.09/0.46 thf(c_0_54, negated_conjecture, (((esk4_0)=(esk5_0))|((esk6_0)=(esk5_0))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50]), c_0_51])). 0.09/0.46 thf(c_0_55, negated_conjecture, (((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|((esk4_0)!=(esk6_0))|((esk1_0)!=(esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.09/0.46 thf(c_0_56, negated_conjecture, ((epred1_0 @ esk2_0 @ esk3_0)|((esk6_0)!=(esk4_0))), inference(csr,[status(thm)],[c_0_52, c_0_53])). 0.09/0.46 thf(c_0_57, negated_conjecture, (((esk4_0)=(esk5_0))|(epred1_0 @ esk2_0 @ esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_54]), c_0_39])). 0.09/0.46 thf(c_0_58, negated_conjecture, (((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|((esk6_0)!=(esk4_0))), inference(cn,[status(thm)],[c_0_55])). 0.09/0.46 thf(c_0_59, negated_conjecture, (((esk6_0)!=(esk4_0))|~((epred1_0 @ esk3_0 @ esk2_0))), inference(spm,[status(thm)],[c_0_44, c_0_56])). 0.09/0.46 thf(c_0_60, negated_conjecture, (((esk4_0)=(esk5_0))|~((epred1_0 @ esk3_0 @ esk2_0))), inference(spm,[status(thm)],[c_0_44, c_0_57])). 0.09/0.46 thf(c_0_61, negated_conjecture, ((esk6_0)!=(esk4_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_58, c_0_59]), c_0_53])). 0.09/0.46 thf(c_0_62, negated_conjecture, ((esk4_0)=(esk5_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_54]), c_0_49]), c_0_60])). 0.09/0.46 thf(c_0_63, negated_conjecture, ((esk6_0)!=(esk5_0)), inference(rw,[status(thm)],[c_0_61, c_0_62])). 0.09/0.46 thf(c_0_64, negated_conjecture, ((epred1_0 @ esk2_0 @ esk3_0)|~((epred1_0 @ esk5_0 @ esk6_0))), inference(rw,[status(thm)],[c_0_40, c_0_62])). 0.09/0.46 thf(c_0_65, negated_conjecture, (epred1_0 @ esk2_0 @ esk3_0), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_30, c_0_63]), c_0_64])). 0.09/0.46 thf(c_0_66, negated_conjecture, ~((epred1_0 @ esk3_0 @ esk2_0)), inference(spm,[status(thm)],[c_0_44, c_0_65])). 0.09/0.46 thf(c_0_67, negated_conjecture, ((epred1_0 @ esk3_0 @ esk2_0)|~((epred1_0 @ esk5_0 @ esk6_0))), inference(rw,[status(thm)],[c_0_50, c_0_62])). 0.09/0.46 thf(c_0_68, negated_conjecture, (epred1_0 @ esk5_0 @ esk6_0), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_41, c_0_63]), c_0_66])). 0.09/0.46 thf(c_0_69, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_68])]), c_0_66]), ['proof']). 0.09/0.46 % SZS output end CNFRefutation 0.09/0.46 % Parsed axioms : 59 0.09/0.46 % Removed by relevancy pruning/SinE : 0 0.09/0.46 % Initial clauses : 55 0.09/0.46 % Removed in clause preprocessing : 29 0.09/0.46 % Initial clauses in saturation : 26 0.09/0.46 % Processed clauses : 54 0.09/0.46 % ...of these trivial : 0 0.09/0.46 % ...subsumed : 10 0.09/0.46 % ...remaining for further processing : 44 0.09/0.46 % Other redundant clauses eliminated : 0 0.09/0.46 % Clauses deleted for lack of memory : 0 0.09/0.46 % Backward-subsumed : 19 0.09/0.46 % Backward-rewritten : 13 0.09/0.46 % Generated clauses : 55 0.09/0.46 % ...of the previous two non-redundant : 54 0.09/0.46 % ...aggressively subsumed : 0 0.09/0.46 % Contextual simplify-reflections : 18 0.09/0.46 % Paramodulations : 53 0.09/0.46 % Factorizations : 0 0.09/0.46 % NegExts : 0 0.09/0.46 % Equation resolutions : 0 0.09/0.46 % Disequality decompositions : 0 0.09/0.46 % Total rewrite steps : 16 0.09/0.46 % ...of those cached : 13 0.09/0.46 % Propositional unsat checks : 0 0.09/0.46 % Propositional check models : 0 0.09/0.46 % Propositional check unsatisfiable : 0 0.09/0.46 % Propositional clauses : 0 0.09/0.46 % Propositional clauses after purity: 0 0.09/0.46 % Propositional unsat core size : 0 0.09/0.46 % Propositional preprocessing time : 0.000 0.09/0.46 % Propositional encoding time : 0.000 0.09/0.46 % Propositional solver time : 0.000 0.09/0.46 % Success case prop preproc time : 0.000 0.09/0.46 % Success case prop encoding time : 0.000 0.09/0.46 % Success case prop solver time : 0.000 0.09/0.46 % Current number of processed clauses : 10 0.09/0.46 % Positive orientable unit clauses : 3 0.09/0.46 % Positive unorientable unit clauses: 0 0.09/0.46 % Negative unit clauses : 3 0.09/0.46 % Non-unit-clauses : 4 0.09/0.46 % Current number of unprocessed clauses: 8 0.09/0.46 % ...number of literals in the above : 34 0.09/0.46 % Current number of archived formulas : 0 0.09/0.46 % Current number of archived clauses : 34 0.09/0.46 % Clause-clause subsumption calls (NU) : 179 0.09/0.46 % Rec. Clause-clause subsumption calls : 117 0.09/0.46 % Non-unit clause-clause subsumptions : 37 0.09/0.46 % Unit Clause-clause subsumption calls : 15 0.09/0.46 % Rewrite failures with RHS unbound : 0 0.09/0.46 % BW rewrite match attempts : 3 0.09/0.46 % BW rewrite match successes : 3 0.09/0.46 % Condensation attempts : 0 0.09/0.46 % Condensation successes : 0 0.09/0.46 % Termbank termtop insertions : 4998 0.09/0.46 % Search garbage collected termcells : 1075 0.09/0.46 0.09/0.46 % ------------------------------------------------- 0.09/0.46 % User time : 0.008 s 0.09/0.46 % System time : 0.003 s 0.09/0.46 % Total time : 0.010 s 0.09/0.46 % Maximum resident set size: 3940 pages 0.09/0.46 0.09/0.46 % ------------------------------------------------- 0.09/0.46 % User time : 0.009 s 0.09/0.46 % System time : 0.008 s 0.09/0.46 % Total time : 0.017 s 0.09/0.46 % Maximum resident set size: 4608 pages 0.09/0.46 % E exiting 0.09/0.47 EOF