0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.11 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.11/0.32 % Computer : n007.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 02:10:34 EDT 2025 0.11/0.32 % CPUTime : 0.18/0.46 Running higher-order theorem proving 0.18/0.47 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=240 /export/starexec/sandbox/tmp/tmp.GAHc3UwY3A/E---3.1_18327.p 0.18/0.49 # Version: 3.0.0-ho 0.18/0.49 # Preprocessing class: HSSSSMSSMLSNHSN. 0.18/0.49 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.49 # Starting new_ho_9 with 1200s (5) cores 0.18/0.49 # Starting post_as_ho1 with 240s (1) cores 0.18/0.49 # Starting sh1l with 240s (1) cores 0.18/0.49 # Starting post_as_ho10 with 240s (1) cores 0.18/0.49 # post_as_ho1 with pid 18407 completed with status 0 0.18/0.49 # Result found by post_as_ho1 0.18/0.49 # Preprocessing class: HSSSSMSSMLSNHSN. 0.18/0.49 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.49 # Starting new_ho_9 with 1200s (5) cores 0.18/0.49 # Starting post_as_ho1 with 240s (1) cores 0.18/0.49 # No SInE strategy applied 0.18/0.49 # Search class: HGHSF-FFMS00-SHSSMFNN 0.18/0.49 # partial match(2): HGHNF-FFSS00-SHSSMFNN 0.18/0.49 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.18/0.49 # Starting new_ho_10 with 130s (1) cores 0.18/0.49 # new_ho_10 with pid 18411 completed with status 0 0.18/0.49 # Result found by new_ho_10 0.18/0.49 # Preprocessing class: HSSSSMSSMLSNHSN. 0.18/0.49 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.49 # Starting new_ho_9 with 1200s (5) cores 0.18/0.49 # Starting post_as_ho1 with 240s (1) cores 0.18/0.49 # No SInE strategy applied 0.18/0.49 # Search class: HGHSF-FFMS00-SHSSMFNN 0.18/0.49 # partial match(2): HGHNF-FFSS00-SHSSMFNN 0.18/0.49 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.18/0.49 # Starting new_ho_10 with 130s (1) cores 0.18/0.49 # Preprocessing time : 0.002 s 0.18/0.49 # Presaturation interreduction done 0.18/0.49 0.18/0.49 # Proof found! 0.18/0.49 # SZS status Theorem 0.18/0.49 # SZS output start CNFRefutation 0.18/0.49 thf(decl_28, type, refl: ($i > $i > $o) > $o). 0.18/0.49 thf(decl_30, type, rc: ($i > $i > $o) > $i > $i > $o). 0.18/0.49 thf(decl_32, type, antisymm: ($i > $i > $o) > $o). 0.18/0.49 thf(decl_33, type, asymm: ($i > $i > $o) > $o). 0.18/0.49 thf(decl_35, type, trans: ($i > $i > $o) > $o). 0.18/0.49 thf(decl_39, type, po: ($i > $i > $o) > $o). 0.18/0.49 thf(decl_40, type, so: ($i > $i > $o) > $o). 0.18/0.49 thf(decl_52, type, epred1_0: $i > $i > $o). 0.18/0.49 thf(decl_53, type, esk1_0: $i). 0.18/0.49 thf(decl_54, type, esk2_0: $i). 0.18/0.49 thf(decl_55, type, esk3_0: $i). 0.18/0.49 thf(decl_56, type, esk4_0: $i). 0.18/0.49 thf(decl_57, type, esk5_0: $i). 0.18/0.49 thf(decl_58, type, esk6_0: $i). 0.18/0.49 thf(partial_order, axiom, ((po)=(^[X1:$i > $i > $o]:((((refl @ X1)&(antisymm @ X1))&(trans @ X1))))), file('/export/starexec/sandbox/tmp/tmp.GAHc3UwY3A/E---3.1_18327.p', partial_order)). 0.18/0.49 thf(reflexive, axiom, ((refl)=(^[X1:$i > $i > $o]:(![X3:$i]:((X1 @ X3 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.GAHc3UwY3A/E---3.1_18327.p', reflexive)). 0.18/0.49 thf(antisymmetric, axiom, ((antisymm)=(^[X1:$i > $i > $o]:(![X3:$i, X4:$i]:((((X1 @ X3 @ X4)&(X1 @ X4 @ X3))=>((X3)=(X4))))))), file('/export/starexec/sandbox/tmp/tmp.GAHc3UwY3A/E---3.1_18327.p', antisymmetric)). 0.18/0.49 thf(transitive, axiom, ((trans)=(^[X1:$i > $i > $o]:(![X3:$i, X4:$i, X6:$i]:((((X1 @ X3 @ X4)&(X1 @ X4 @ X6))=>(X1 @ X3 @ X6)))))), file('/export/starexec/sandbox/tmp/tmp.GAHc3UwY3A/E---3.1_18327.p', transitive)). 0.18/0.49 thf(strict_order, axiom, ((so)=(^[X1:$i > $i > $o]:(((asymm @ X1)&(trans @ X1))))), file('/export/starexec/sandbox/tmp/tmp.GAHc3UwY3A/E---3.1_18327.p', strict_order)). 0.18/0.49 thf(asymmetric, axiom, ((asymm)=(^[X1:$i > $i > $o]:(![X3:$i, X4:$i]:(((X1 @ X3 @ X4)=>~((X1 @ X4 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.GAHc3UwY3A/E---3.1_18327.p', asymmetric)). 0.18/0.49 thf(reflexive_closure, axiom, ((rc)=(^[X1:$i > $i > $o, X3:$i, X4:$i]:((((X3)=(X4))|(X1 @ X3 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.GAHc3UwY3A/E---3.1_18327.p', reflexive_closure)). 0.18/0.49 thf(strict_order_induces_partial_order, conjecture, ![X1:$i > $i > $o]:(((so @ X1)=>(po @ (rc @ X1)))), file('/export/starexec/sandbox/tmp/tmp.GAHc3UwY3A/E---3.1_18327.p', strict_order_induces_partial_order)). 0.18/0.49 thf(c_0_8, plain, ((po)=(^[Z0/* 8 */:$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:$i]:((((Z0 @ X36 @ X37)&(Z0 @ X37 @ X38))=>(Z0 @ X36 @ X38)))))))), inference(fof_simplification,[status(thm)],[partial_order])). 0.18/0.49 thf(c_0_9, plain, ((refl)=(^[Z0/* 6 */:$i > $i > $o]:(![X3:$i]:((Z0 @ X3 @ X3))))), inference(fof_simplification,[status(thm)],[reflexive])). 0.18/0.49 thf(c_0_10, plain, ((antisymm)=(^[Z0/* 6 */:$i > $i > $o]:(![X3:$i, X4:$i]:((((Z0 @ X3 @ X4)&(Z0 @ X4 @ X3))=>((X3)=(X4))))))), inference(fof_simplification,[status(thm)],[antisymmetric])). 0.18/0.49 thf(c_0_11, plain, ((trans)=(^[Z0/* 6 */:$i > $i > $o]:(![X3:$i, X4:$i, X6:$i]:((((Z0 @ X3 @ X4)&(Z0 @ X4 @ X6))=>(Z0 @ X3 @ X6)))))), inference(fof_simplification,[status(thm)],[transitive])). 0.18/0.49 thf(c_0_12, plain, ((so)=(^[Z0/* 8 */:$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])). 0.18/0.49 thf(c_0_13, plain, ((asymm)=(^[Z0/* 6 */:$i > $i > $o]:(![X3:$i, X4:$i]:(((Z0 @ X3 @ X4)=>~((Z0 @ X4 @ X3))))))), inference(fof_simplification,[status(thm)],[asymmetric])). 0.18/0.49 thf(c_0_14, plain, ((rc)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i, Z2:$i]:((((Z1)=(Z2))|(Z0 @ Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[reflexive_closure])). 0.18/0.49 thf(c_0_15, plain, ((po)=(^[Z0/* 8 */:$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:$i]:((((Z0 @ X36 @ X37)&(Z0 @ X37 @ X38))=>(Z0 @ X36 @ X38)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8, c_0_9]), c_0_10]), c_0_11])). 0.18/0.49 thf(c_0_16, plain, ((so)=(^[Z0/* 8 */:$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])). 0.18/0.49 thf(c_0_17, 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)],[inference(assume_negation,[status(cth)],[strict_order_induces_partial_order]), c_0_14]), c_0_15]), c_0_16])). 0.18/0.49 thf(c_0_18, 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_17])])])])])])). 0.18/0.49 thf(c_0_19, 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_18])). 0.18/0.49 thf(c_0_20, 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_18])). 0.18/0.49 thf(c_0_21, 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_18])). 0.18/0.49 thf(c_0_22, 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_19])). 0.18/0.49 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_20])). 0.18/0.49 thf(c_0_24, 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_18])). 0.18/0.49 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_18])). 0.18/0.49 thf(c_0_26, 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_18])). 0.18/0.49 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_18])). 0.18/0.49 thf(c_0_28, 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_21])). 0.18/0.49 thf(c_0_29, 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_18])). 0.18/0.49 thf(c_0_30, 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_18])). 0.18/0.49 thf(c_0_31, 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_18])). 0.18/0.49 thf(c_0_32, negated_conjecture, (((esk6_0)=(esk5_0))|(epred1_0 @ esk5_0 @ esk6_0)|(epred1_0 @ esk3_0 @ esk2_0)), inference(csr,[status(thm)],[c_0_22, c_0_23])). 0.18/0.49 thf(c_0_33, 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_24])). 0.18/0.49 thf(c_0_34, negated_conjecture, (((esk5_0)=(esk4_0))|(epred1_0 @ esk4_0 @ esk5_0)|((esk3_0)!=(esk2_0))), inference(cn,[status(thm)],[c_0_25])). 0.18/0.49 thf(c_0_35, negated_conjecture, (((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|~((epred1_0 @ esk4_0 @ esk6_0))), inference(cn,[status(thm)],[c_0_26])). 0.18/0.49 thf(c_0_36, negated_conjecture, (((esk3_0)!=(esk2_0))|~((epred1_0 @ esk4_0 @ esk6_0))), inference(cn,[status(thm)],[c_0_27])). 0.18/0.49 thf(c_0_37, negated_conjecture, (((esk6_0)=(esk5_0))|(epred1_0 @ esk5_0 @ esk6_0)|(epred1_0 @ esk2_0 @ esk3_0)), inference(csr,[status(thm)],[c_0_28, c_0_23])). 0.18/0.49 thf(c_0_38, 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_29])). 0.18/0.49 thf(c_0_39, negated_conjecture, (((esk3_0)=(esk2_0))|(epred1_0 @ esk2_0 @ esk3_0)|~((epred1_0 @ esk4_0 @ esk6_0))), inference(cn,[status(thm)],[c_0_30])). 0.18/0.49 thf(c_0_40, negated_conjecture, ![X3:$i]:((((esk6_0)=(esk5_0))|(epred1_0 @ esk3_0 @ esk2_0)|(epred1_0 @ X3 @ esk6_0)|~((epred1_0 @ X3 @ esk5_0)))), inference(spm,[status(thm)],[c_0_31, c_0_32])). 0.18/0.49 thf(c_0_41, negated_conjecture, (((esk4_0)=(esk5_0))|(epred1_0 @ esk4_0 @ esk5_0)|(epred1_0 @ esk3_0 @ esk2_0)), inference(csr,[status(thm)],[c_0_33, c_0_34])). 0.18/0.49 thf(c_0_42, negated_conjecture, ((epred1_0 @ esk3_0 @ esk2_0)|~((epred1_0 @ esk4_0 @ esk6_0))), inference(csr,[status(thm)],[c_0_35, c_0_36])). 0.18/0.49 thf(c_0_43, negated_conjecture, ![X3:$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_31, c_0_37])). 0.18/0.49 thf(c_0_44, negated_conjecture, (((esk4_0)=(esk5_0))|(epred1_0 @ esk4_0 @ esk5_0)|(epred1_0 @ esk2_0 @ esk3_0)), inference(csr,[status(thm)],[c_0_38, c_0_34])). 0.18/0.49 thf(c_0_45, negated_conjecture, ((epred1_0 @ esk2_0 @ esk3_0)|~((epred1_0 @ esk4_0 @ esk6_0))), inference(csr,[status(thm)],[c_0_39, c_0_36])). 0.18/0.49 thf(c_0_46, 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_18])). 0.18/0.49 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_18])). 0.18/0.49 thf(c_0_48, 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_18])). 0.18/0.49 thf(c_0_49, negated_conjecture, ![X4:$i, X3:$i]:((~((epred1_0 @ X3 @ X4))|~((epred1_0 @ X4 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.18/0.49 thf(c_0_50, negated_conjecture, (((esk4_0)=(esk5_0))|((esk6_0)=(esk5_0))|(epred1_0 @ esk3_0 @ esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])). 0.18/0.49 thf(c_0_51, 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_43, c_0_44]), c_0_45])). 0.18/0.49 thf(c_0_52, negated_conjecture, (((esk3_0)=(esk2_0))|(epred1_0 @ esk3_0 @ esk2_0)|((esk6_0)!=(esk4_0))), inference(cn,[status(thm)],[c_0_46])). 0.18/0.49 thf(c_0_53, negated_conjecture, (((esk3_0)!=(esk2_0))|((esk6_0)!=(esk4_0))), inference(cn,[status(thm)],[c_0_47])). 0.18/0.49 thf(c_0_54, negated_conjecture, (((esk3_0)=(esk2_0))|(epred1_0 @ esk2_0 @ esk3_0)|((esk6_0)!=(esk4_0))), inference(cn,[status(thm)],[c_0_48])). 0.18/0.49 thf(c_0_55, negated_conjecture, (((esk6_0)=(esk5_0))|((esk4_0)=(esk5_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51])). 0.18/0.49 thf(c_0_56, negated_conjecture, ((epred1_0 @ esk3_0 @ esk2_0)|((esk6_0)!=(esk4_0))), inference(csr,[status(thm)],[c_0_52, c_0_53])). 0.18/0.49 thf(c_0_57, negated_conjecture, ((epred1_0 @ esk2_0 @ esk3_0)|((esk6_0)!=(esk4_0))), inference(csr,[status(thm)],[c_0_54, c_0_53])). 0.18/0.49 thf(c_0_58, negated_conjecture, (((esk4_0)=(esk5_0))|(epred1_0 @ esk2_0 @ esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_55]), c_0_44])). 0.18/0.49 thf(c_0_59, negated_conjecture, (((esk4_0)=(esk5_0))|(epred1_0 @ esk3_0 @ esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_55]), c_0_41])). 0.18/0.49 thf(c_0_60, negated_conjecture, ((esk6_0)!=(esk4_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_56]), c_0_57])). 0.18/0.49 thf(c_0_61, negated_conjecture, ((esk4_0)=(esk5_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_58]), c_0_59])). 0.18/0.49 thf(c_0_62, negated_conjecture, ((esk6_0)!=(esk5_0)), inference(rw,[status(thm)],[c_0_60, c_0_61])). 0.18/0.49 thf(c_0_63, negated_conjecture, ((epred1_0 @ esk3_0 @ esk2_0)|~((epred1_0 @ esk5_0 @ esk6_0))), inference(rw,[status(thm)],[c_0_42, c_0_61])). 0.18/0.49 thf(c_0_64, negated_conjecture, ((epred1_0 @ esk2_0 @ esk3_0)|~((epred1_0 @ esk5_0 @ esk6_0))), inference(rw,[status(thm)],[c_0_45, c_0_61])). 0.18/0.49 thf(c_0_65, negated_conjecture, (epred1_0 @ esk3_0 @ esk2_0), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_32, c_0_62]), c_0_63])). 0.18/0.49 thf(c_0_66, negated_conjecture, (epred1_0 @ esk2_0 @ esk3_0), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_37, c_0_62]), c_0_64])). 0.18/0.49 thf(c_0_67, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_65]), c_0_66])]), ['proof']). 0.18/0.49 # SZS output end CNFRefutation 0.18/0.49 # Parsed axioms : 59 0.18/0.49 # Removed by relevancy pruning/SinE : 0 0.18/0.49 # Initial clauses : 55 0.18/0.49 # Removed in clause preprocessing : 29 0.18/0.49 # Initial clauses in saturation : 26 0.18/0.49 # Processed clauses : 75 0.18/0.49 # ...of these trivial : 0 0.18/0.49 # ...subsumed : 16 0.18/0.49 # ...remaining for further processing : 59 0.18/0.49 # Other redundant clauses eliminated : 0 0.18/0.49 # Clauses deleted for lack of memory : 0 0.18/0.49 # Backward-subsumed : 24 0.18/0.49 # Backward-rewritten : 12 0.18/0.49 # Generated clauses : 65 0.18/0.49 # ...of the previous two non-redundant : 65 0.18/0.49 # ...aggressively subsumed : 0 0.18/0.49 # Contextual simplify-reflections : 19 0.18/0.49 # Paramodulations : 63 0.18/0.49 # Factorizations : 0 0.18/0.49 # NegExts : 0 0.18/0.49 # Equation resolutions : 0 0.18/0.49 # Disequality decompositions : 0 0.18/0.49 # Total rewrite steps : 13 0.18/0.49 # ...of those cached : 10 0.18/0.49 # Propositional unsat checks : 0 0.18/0.49 # Propositional check models : 0 0.18/0.49 # Propositional check unsatisfiable : 0 0.18/0.49 # Propositional clauses : 0 0.18/0.49 # Propositional clauses after purity: 0 0.18/0.49 # Propositional unsat core size : 0 0.18/0.49 # Propositional preprocessing time : 0.000 0.18/0.49 # Propositional encoding time : 0.000 0.18/0.49 # Propositional solver time : 0.000 0.18/0.49 # Success case prop preproc time : 0.000 0.18/0.49 # Success case prop encoding time : 0.000 0.18/0.49 # Success case prop solver time : 0.000 0.18/0.49 # Current number of processed clauses : 7 0.18/0.49 # Positive orientable unit clauses : 3 0.18/0.49 # Positive unorientable unit clauses: 0 0.18/0.49 # Negative unit clauses : 2 0.18/0.49 # Non-unit-clauses : 2 0.18/0.49 # Current number of unprocessed clauses: 4 0.18/0.49 # ...number of literals in the above : 9 0.18/0.49 # Current number of archived formulas : 0 0.18/0.49 # Current number of archived clauses : 52 0.18/0.49 # Clause-clause subsumption calls (NU) : 271 0.18/0.49 # Rec. Clause-clause subsumption calls : 191 0.18/0.49 # Non-unit clause-clause subsumptions : 52 0.18/0.49 # Unit Clause-clause subsumption calls : 17 0.18/0.49 # Rewrite failures with RHS unbound : 0 0.18/0.49 # BW rewrite match attempts : 3 0.18/0.49 # BW rewrite match successes : 3 0.18/0.49 # Condensation attempts : 75 0.18/0.49 # Condensation successes : 0 0.18/0.49 # Termbank termtop insertions : 5172 0.18/0.49 # Search garbage collected termcells : 1076 0.18/0.49 0.18/0.49 # ------------------------------------------------- 0.18/0.49 # User time : 0.009 s 0.18/0.49 # System time : 0.003 s 0.18/0.49 # Total time : 0.012 s 0.18/0.49 # Maximum resident set size: 2152 pages 0.18/0.49 0.18/0.49 # ------------------------------------------------- 0.18/0.49 # User time : 0.013 s 0.18/0.49 # System time : 0.004 s 0.18/0.49 # Total time : 0.017 s 0.18/0.49 # Maximum resident set size: 1780 pages 0.18/0.49 % E exiting 0.18/0.49 % E exiting 0.18/0.49 EOF