0.06/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.11 % Command : run_E %s %d THM 0.10/0.32 % Computer : n017.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Tue Aug 9 04:17:45 EDT 2022 0.10/0.32 % CPUTime : 0.17/0.44 Running higher-order on 8 cores theorem proving 0.17/0.44 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=120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.17/0.44 # Version: 3.0pre003-ho 0.17/0.51 # Preprocessing class: HSMSSMSSMLMNHHN. 0.17/0.51 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.17/0.51 # Starting ehoh_best2_full_lfho with 600s (5) cores 0.17/0.51 # Starting lpo9_lambda_fix with 120s (1) cores 0.17/0.51 # Starting sh5l with 120s (1) cores 0.17/0.51 # Starting ho_unfolding_6 with 120s (1) cores 0.17/0.51 # ehoh_best2_full_lfho with pid 7010 completed with status 0 0.17/0.51 # Result found by ehoh_best2_full_lfho 0.17/0.51 # Preprocessing class: HSMSSMSSMLMNHHN. 0.17/0.51 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.17/0.51 # Starting ehoh_best2_full_lfho with 600s (5) cores 0.17/0.51 # No SInE strategy applied 0.17/0.51 # Search class: HGHNS-FFMS00-SHHSMFNN 0.17/0.51 # partial match(2): HGHNF-FFMM00-SHHSMFNN 0.17/0.51 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 0.17/0.51 # Starting new_ho_10 with 325s (1) cores 0.17/0.51 # Starting ehoh_best2_full_lfho with 61s (1) cores 0.17/0.51 # Starting new_bool_1 with 55s (1) cores 0.17/0.51 # Starting new_bool_2 with 55s (1) cores 0.17/0.51 # Starting ehoh_best_sine_rwall with 55s (1) cores 0.17/0.51 # ehoh_best2_full_lfho with pid 7018 completed with status 0 0.17/0.51 # Result found by ehoh_best2_full_lfho 0.17/0.51 # Preprocessing class: HSMSSMSSMLMNHHN. 0.17/0.51 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.17/0.51 # Starting ehoh_best2_full_lfho with 600s (5) cores 0.17/0.51 # No SInE strategy applied 0.17/0.51 # Search class: HGHNS-FFMS00-SHHSMFNN 0.17/0.51 # partial match(2): HGHNF-FFMM00-SHHSMFNN 0.17/0.51 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 0.17/0.51 # Starting new_ho_10 with 325s (1) cores 0.17/0.51 # Starting ehoh_best2_full_lfho with 61s (1) cores 0.17/0.51 # Preprocessing time : 0.003 s 0.17/0.51 0.17/0.51 # Proof found! 0.17/0.51 # SZS status Theorem 0.17/0.51 # SZS output start CNFRefutation 0.17/0.51 thf(decl_22, type, meq_ind: mu > mu > $i > $o). 0.17/0.51 thf(decl_23, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.51 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 0.17/0.51 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.51 thf(decl_26, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.51 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.51 thf(decl_28, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.51 thf(decl_29, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.51 thf(decl_30, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.51 thf(decl_31, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.17/0.51 thf(decl_32, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.17/0.51 thf(decl_33, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.17/0.51 thf(decl_34, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 0.17/0.51 thf(decl_35, type, mtrue: $i > $o). 0.17/0.51 thf(decl_36, type, mfalse: $i > $o). 0.17/0.51 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.17/0.51 thf(decl_38, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.17/0.51 thf(decl_39, type, mreflexive: ($i > $i > $o) > $o). 0.17/0.51 thf(decl_40, type, msymmetric: ($i > $i > $o) > $o). 0.17/0.51 thf(decl_41, type, mserial: ($i > $i > $o) > $o). 0.17/0.51 thf(decl_42, type, mtransitive: ($i > $i > $o) > $o). 0.17/0.51 thf(decl_43, type, meuclidean: ($i > $i > $o) > $o). 0.17/0.51 thf(decl_44, type, mpartially_functional: ($i > $i > $o) > $o). 0.17/0.51 thf(decl_45, type, mfunctional: ($i > $i > $o) > $o). 0.17/0.51 thf(decl_46, type, mweakly_dense: ($i > $i > $o) > $o). 0.17/0.51 thf(decl_47, type, mweakly_connected: ($i > $i > $o) > $o). 0.17/0.51 thf(decl_48, type, mweakly_directed: ($i > $i > $o) > $o). 0.17/0.51 thf(decl_49, type, mvalid: ($i > $o) > $o). 0.17/0.51 thf(decl_50, type, minvalid: ($i > $o) > $o). 0.17/0.51 thf(decl_51, type, msatisfiable: ($i > $o) > $o). 0.17/0.51 thf(decl_52, type, mcountersatisfiable: ($i > $o) > $o). 0.17/0.51 thf(decl_53, type, ra: $i > $i > $o). 0.17/0.51 thf(decl_54, type, rb: $i > $i > $o). 0.17/0.51 thf(decl_55, type, esk1_0: $i). 0.17/0.51 thf(decl_56, type, epred1_0: $i > $o). 0.17/0.51 thf(decl_57, type, epred2_0: $i > $o). 0.17/0.51 thf(decl_58, type, esk2_0: $i). 0.17/0.51 thf(decl_59, type, esk3_0: $i). 0.17/0.51 thf(decl_60, type, esk4_0: $i). 0.17/0.51 thf(decl_61, type, epred3_0: $i > $o). 0.17/0.51 thf(decl_62, type, epred4_0: $i > $o). 0.17/0.51 thf(decl_63, type, esk5_0: $i). 0.17/0.51 thf(decl_64, type, esk6_0: $i). 0.17/0.51 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mimplies)). 0.17/0.51 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mnot)). 0.17/0.51 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mor)). 0.17/0.51 thf(meuclidean, axiom, ((meuclidean)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((X13 @ X15 @ X16)&(X13 @ X15 @ X17))=>(X13 @ X16 @ X17)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', meuclidean)). 0.17/0.51 thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mforall_prop)). 0.17/0.51 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mbox)). 0.17/0.51 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mvalid)). 0.17/0.51 thf(mreflexive, axiom, ((mreflexive)=(^[X13:$i > $i > $o]:(![X15:$i]:((X13 @ X15 @ X15))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mreflexive)). 0.17/0.51 thf(ax5, axiom, (meuclidean @ ra), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax5)). 0.17/0.51 thf(conj, conjecture, ((mvalid @ (mforall_prop @ (^[X18:$i > $o]:(mforall_prop @ (^[X19:$i > $o]:(mimplies @ (mbox @ ra @ (mor @ (mbox @ ra @ X18) @ (mbox @ rb @ X19))) @ (mor @ (mbox @ ra @ X18) @ (mbox @ ra @ X19))))))))&(mvalid @ (mforall_prop @ (^[X18:$i > $o]:(mforall_prop @ (^[X19:$i > $o]:(mimplies @ (mbox @ rb @ (mor @ (mbox @ ra @ X18) @ (mbox @ rb @ X19))) @ (mor @ (mbox @ rb @ X18) @ (mbox @ rb @ X19))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', conj)). 0.17/0.51 thf(ax1, axiom, (mreflexive @ ra), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax1)). 0.17/0.51 thf(ax2, axiom, (mreflexive @ rb), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax2)). 0.17/0.51 thf(ax6, axiom, (meuclidean @ rb), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax6)). 0.17/0.51 thf(mtransitive, axiom, ((mtransitive)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((X13 @ X15 @ X16)&(X13 @ X16 @ X17))=>(X13 @ X15 @ X17)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mtransitive)). 0.17/0.51 thf(ax3, axiom, (mtransitive @ ra), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax3)). 0.17/0.51 thf(c_0_15, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.17/0.51 thf(c_0_16, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.17/0.51 thf(c_0_17, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.17/0.51 thf(c_0_18, plain, ((meuclidean)=(^[Z0:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((Z0 @ X15 @ X16)&(Z0 @ X15 @ X17))=>(Z0 @ X16 @ X17)))))), inference(fof_simplification,[status(thm)],[meuclidean])). 0.17/0.51 thf(c_0_19, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_15, c_0_16]), c_0_17])). 0.17/0.51 thf(c_0_20, plain, ((mforall_prop)=(^[Z0:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])). 0.17/0.51 thf(c_0_21, plain, ((mbox)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.17/0.51 thf(c_0_22, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.17/0.51 thf(c_0_23, plain, ((mreflexive)=(^[Z0:$i > $i > $o]:(![X15:$i]:((Z0 @ X15 @ X15))))), inference(fof_simplification,[status(thm)],[mreflexive])). 0.17/0.51 thf(c_0_24, plain, ![X23:$i, X24:$i, X25:$i]:((((ra @ X23 @ X24)&(ra @ X23 @ X25))=>(ra @ X24 @ X25))), inference(apply_def,[status(thm)],[ax5, c_0_18])). 0.17/0.51 thf(c_0_25, negated_conjecture, ~((![X41:$i, X40:$i > $o, X39:$i > $o]:((~(![X36:$i]:((~(ra @ X41 @ X36)|(![X34:$i]:((~(ra @ X36 @ X34)|(X40 @ X34)))|![X35:$i]:((~(rb @ X36 @ X35)|(X39 @ X35)))))))|(![X37:$i]:((~(ra @ X41 @ X37)|(X40 @ X37)))|![X38:$i]:((~(ra @ X41 @ X38)|(X39 @ X38))))))&![X49:$i, X48:$i > $o, X47:$i > $o]:((~(![X44:$i]:((~(rb @ X49 @ X44)|(![X42:$i]:((~(ra @ X44 @ X42)|(X48 @ X42)))|![X43:$i]:((~(rb @ X44 @ X43)|(X47 @ X43)))))))|(![X45:$i]:((~(rb @ X49 @ X45)|(X48 @ X45)))|![X46:$i]:((~(rb @ X49 @ X46)|(X47 @ X46)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])]), c_0_17]), c_0_19]), c_0_20]), c_0_21]), c_0_22])])). 0.17/0.51 thf(c_0_26, plain, ![X33:$i]:((ra @ X33 @ X33)), inference(apply_def,[status(thm)],[ax1, c_0_23])). 0.17/0.51 thf(c_0_27, plain, ![X53:$i, X54:$i, X55:$i]:((~(ra @ X53 @ X54)|~(ra @ X53 @ X55)|(ra @ X54 @ X55))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])). 0.17/0.51 thf(c_0_28, negated_conjecture, ![X67:$i, X68:$i, X69:$i, X75:$i, X76:$i, X77:$i]:((((~(rb @ esk4_0 @ X75)|(~(ra @ X75 @ X76)|(epred3_0 @ X76)|(~(rb @ X75 @ X77)|(epred4_0 @ X77)))|(~(ra @ esk1_0 @ X67)|(~(ra @ X67 @ X68)|(epred1_0 @ X68)|(~(rb @ X67 @ X69)|(epred2_0 @ X69)))))&((((rb @ esk4_0 @ esk5_0)|(~(ra @ esk1_0 @ X67)|(~(ra @ X67 @ X68)|(epred1_0 @ X68)|(~(rb @ X67 @ X69)|(epred2_0 @ X69)))))&(~(epred3_0 @ esk5_0)|(~(ra @ esk1_0 @ X67)|(~(ra @ X67 @ X68)|(epred1_0 @ X68)|(~(rb @ X67 @ X69)|(epred2_0 @ X69))))))&(((rb @ esk4_0 @ esk6_0)|(~(ra @ esk1_0 @ X67)|(~(ra @ X67 @ X68)|(epred1_0 @ X68)|(~(rb @ X67 @ X69)|(epred2_0 @ X69)))))&(~(epred4_0 @ esk6_0)|(~(ra @ esk1_0 @ X67)|(~(ra @ X67 @ X68)|(epred1_0 @ X68)|(~(rb @ X67 @ X69)|(epred2_0 @ X69))))))))&((((~(rb @ esk4_0 @ X75)|(~(ra @ X75 @ X76)|(epred3_0 @ X76)|(~(rb @ X75 @ X77)|(epred4_0 @ X77)))|(ra @ esk1_0 @ esk2_0))&((((rb @ esk4_0 @ esk5_0)|(ra @ esk1_0 @ esk2_0))&(~(epred3_0 @ esk5_0)|(ra @ esk1_0 @ esk2_0)))&(((rb @ esk4_0 @ esk6_0)|(ra @ esk1_0 @ esk2_0))&(~(epred4_0 @ esk6_0)|(ra @ esk1_0 @ esk2_0)))))&((~(rb @ esk4_0 @ X75)|(~(ra @ X75 @ X76)|(epred3_0 @ X76)|(~(rb @ X75 @ X77)|(epred4_0 @ X77)))|~(epred1_0 @ esk2_0))&((((rb @ esk4_0 @ esk5_0)|~(epred1_0 @ esk2_0))&(~(epred3_0 @ esk5_0)|~(epred1_0 @ esk2_0)))&(((rb @ esk4_0 @ esk6_0)|~(epred1_0 @ esk2_0))&(~(epred4_0 @ esk6_0)|~(epred1_0 @ esk2_0))))))&(((~(rb @ esk4_0 @ X75)|(~(ra @ X75 @ X76)|(epred3_0 @ X76)|(~(rb @ X75 @ X77)|(epred4_0 @ X77)))|(ra @ esk1_0 @ esk3_0))&((((rb @ esk4_0 @ esk5_0)|(ra @ esk1_0 @ esk3_0))&(~(epred3_0 @ esk5_0)|(ra @ esk1_0 @ esk3_0)))&(((rb @ esk4_0 @ esk6_0)|(ra @ esk1_0 @ esk3_0))&(~(epred4_0 @ esk6_0)|(ra @ esk1_0 @ esk3_0)))))&((~(rb @ esk4_0 @ X75)|(~(ra @ X75 @ X76)|(epred3_0 @ X76)|(~(rb @ X75 @ X77)|(epred4_0 @ X77)))|~(epred2_0 @ esk3_0))&((((rb @ esk4_0 @ esk5_0)|~(epred2_0 @ esk3_0))&(~(epred3_0 @ esk5_0)|~(epred2_0 @ esk3_0)))&(((rb @ esk4_0 @ esk6_0)|~(epred2_0 @ esk3_0))&(~(epred4_0 @ esk6_0)|~(epred2_0 @ esk3_0))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])])). 0.17/0.52 thf(c_0_29, plain, ![X63:$i]:((ra @ X63 @ X63)), inference(variable_rename,[status(thm)],[c_0_26])). 0.17/0.52 thf(c_0_30, plain, ![X14:$i, X3:$i, X15:$i]:(((ra @ X14 @ X15)|~((ra @ X3 @ X14))|~((ra @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_27])). 0.17/0.52 thf(c_0_31, negated_conjecture, ((rb @ esk4_0 @ esk5_0)|(ra @ esk1_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_32, plain, ![X3:$i]:((ra @ X3 @ X3)), inference(split_conjunct,[status(thm)],[c_0_29])). 0.17/0.52 thf(c_0_33, negated_conjecture, ![X3:$i]:(((rb @ esk4_0 @ esk5_0)|(ra @ X3 @ esk3_0)|~((ra @ esk1_0 @ X3)))), inference(spm,[status(thm)],[c_0_30, c_0_31])). 0.17/0.52 thf(c_0_34, negated_conjecture, ((rb @ esk4_0 @ esk5_0)|(ra @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_35, negated_conjecture, ((rb @ esk4_0 @ esk6_0)|(ra @ esk1_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_36, plain, ![X14:$i, X3:$i]:(((ra @ X3 @ X14)|~((ra @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_30, c_0_32])). 0.17/0.52 thf(c_0_37, negated_conjecture, ((ra @ esk2_0 @ esk3_0)|(rb @ esk4_0 @ esk5_0)), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.17/0.52 thf(c_0_38, plain, ![X26:$i]:((rb @ X26 @ X26)), inference(apply_def,[status(thm)],[ax2, c_0_23])). 0.17/0.52 thf(c_0_39, negated_conjecture, ![X3:$i]:(((rb @ esk4_0 @ esk6_0)|(ra @ X3 @ esk3_0)|~((ra @ esk1_0 @ X3)))), inference(spm,[status(thm)],[c_0_30, c_0_35])). 0.17/0.52 thf(c_0_40, negated_conjecture, ((rb @ esk4_0 @ esk6_0)|(ra @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_41, plain, ![X50:$i, X51:$i, X52:$i]:((((rb @ X50 @ X51)&(rb @ X50 @ X52))=>(rb @ X51 @ X52))), inference(apply_def,[status(thm)],[ax6, c_0_18])). 0.17/0.52 thf(c_0_42, negated_conjecture, ![X14:$i, X3:$i, X15:$i]:(((rb @ esk4_0 @ esk5_0)|(epred1_0 @ X14)|(epred2_0 @ X15)|~((ra @ esk1_0 @ X3))|~((ra @ X3 @ X14))|~((rb @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_43, negated_conjecture, ((rb @ esk4_0 @ esk5_0)|(ra @ esk3_0 @ esk2_0)), inference(spm,[status(thm)],[c_0_36, c_0_37])). 0.17/0.52 thf(c_0_44, negated_conjecture, ((rb @ esk4_0 @ esk5_0)|~((epred1_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_45, plain, ![X56:$i]:((rb @ X56 @ X56)), inference(variable_rename,[status(thm)],[c_0_38])). 0.17/0.52 thf(c_0_46, negated_conjecture, ((ra @ esk2_0 @ esk3_0)|(rb @ esk4_0 @ esk6_0)), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.17/0.52 thf(c_0_47, plain, ![X80:$i, X81:$i, X82:$i]:((~(rb @ X80 @ X81)|~(rb @ X80 @ X82)|(rb @ X81 @ X82))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])). 0.17/0.52 thf(c_0_48, negated_conjecture, ![X3:$i]:(((rb @ esk4_0 @ esk5_0)|(epred2_0 @ X3)|~((rb @ esk3_0 @ X3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_31]), c_0_44])). 0.17/0.52 thf(c_0_49, plain, ![X3:$i]:((rb @ X3 @ X3)), inference(split_conjunct,[status(thm)],[c_0_45])). 0.17/0.52 thf(c_0_50, negated_conjecture, ((rb @ esk4_0 @ esk5_0)|~((epred2_0 @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_51, negated_conjecture, ![X14:$i, X3:$i, X15:$i]:(((rb @ esk4_0 @ esk6_0)|(epred1_0 @ X14)|(epred2_0 @ X15)|~((ra @ esk1_0 @ X3))|~((ra @ X3 @ X14))|~((rb @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_52, negated_conjecture, ((rb @ esk4_0 @ esk6_0)|(ra @ esk3_0 @ esk2_0)), inference(spm,[status(thm)],[c_0_36, c_0_46])). 0.17/0.52 thf(c_0_53, negated_conjecture, ((rb @ esk4_0 @ esk6_0)|~((epred1_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_54, plain, ![X14:$i, X3:$i, X15:$i]:(((rb @ X14 @ X15)|~((rb @ X3 @ X14))|~((rb @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.17/0.52 thf(c_0_55, negated_conjecture, (rb @ esk4_0 @ esk5_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_50])). 0.17/0.52 thf(c_0_56, negated_conjecture, ![X3:$i]:(((rb @ esk4_0 @ esk6_0)|(epred2_0 @ X3)|~((rb @ esk3_0 @ X3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_35]), c_0_53])). 0.17/0.52 thf(c_0_57, negated_conjecture, ((rb @ esk4_0 @ esk6_0)|~((epred2_0 @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_58, plain, ((mtransitive)=(^[Z0:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((Z0 @ X15 @ X16)&(Z0 @ X16 @ X17))=>(Z0 @ X15 @ X17)))))), inference(fof_simplification,[status(thm)],[mtransitive])). 0.17/0.52 thf(c_0_59, negated_conjecture, ![X3:$i]:(((rb @ X3 @ esk5_0)|~((rb @ esk4_0 @ X3)))), inference(spm,[status(thm)],[c_0_54, c_0_55])). 0.17/0.52 thf(c_0_60, negated_conjecture, (rb @ esk4_0 @ esk6_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_49]), c_0_57])). 0.17/0.52 thf(c_0_61, plain, ![X27:$i, X28:$i, X29:$i]:((((ra @ X27 @ X28)&(ra @ X28 @ X29))=>(ra @ X27 @ X29))), inference(apply_def,[status(thm)],[ax3, c_0_58])). 0.17/0.52 thf(c_0_62, negated_conjecture, ![X14:$i, X3:$i, X15:$i]:(((epred3_0 @ X14)|(epred4_0 @ X15)|(ra @ esk1_0 @ esk3_0)|~((rb @ esk4_0 @ X3))|~((ra @ X3 @ X14))|~((rb @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_63, plain, ![X14:$i, X3:$i]:(((rb @ X3 @ X14)|~((rb @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_54, c_0_49])). 0.17/0.52 thf(c_0_64, negated_conjecture, (rb @ esk6_0 @ esk5_0), inference(spm,[status(thm)],[c_0_59, c_0_60])). 0.17/0.52 thf(c_0_65, negated_conjecture, ![X14:$i, X3:$i, X15:$i]:(((epred3_0 @ X14)|(epred4_0 @ X15)|(ra @ esk1_0 @ esk2_0)|~((rb @ esk4_0 @ X3))|~((ra @ X3 @ X14))|~((rb @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_66, plain, ![X57:$i, X58:$i, X59:$i]:((~(ra @ X57 @ X58)|~(ra @ X58 @ X59)|(ra @ X57 @ X59))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])). 0.17/0.52 thf(c_0_67, negated_conjecture, ![X3:$i, X14:$i]:(((ra @ esk1_0 @ esk3_0)|(epred3_0 @ X3)|(epred4_0 @ X14)|~((rb @ esk4_0 @ X3))|~((rb @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_62, c_0_32])). 0.17/0.52 thf(c_0_68, negated_conjecture, (rb @ esk5_0 @ esk6_0), inference(spm,[status(thm)],[c_0_63, c_0_64])). 0.17/0.52 thf(c_0_69, negated_conjecture, ((ra @ esk1_0 @ esk3_0)|~((epred4_0 @ esk6_0))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_70, negated_conjecture, ((ra @ esk1_0 @ esk3_0)|~((epred3_0 @ esk5_0))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_71, negated_conjecture, ![X3:$i, X14:$i]:(((ra @ esk1_0 @ esk2_0)|(epred3_0 @ X3)|(epred4_0 @ X14)|~((rb @ esk4_0 @ X3))|~((rb @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_65, c_0_32])). 0.17/0.52 thf(c_0_72, negated_conjecture, ((ra @ esk1_0 @ esk2_0)|~((epred4_0 @ esk6_0))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_73, negated_conjecture, ((ra @ esk1_0 @ esk2_0)|~((epred3_0 @ esk5_0))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_74, plain, ![X14:$i, X3:$i, X15:$i]:(((ra @ X3 @ X15)|~((ra @ X3 @ X14))|~((ra @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_66])). 0.17/0.52 thf(c_0_75, negated_conjecture, (ra @ esk1_0 @ esk3_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_55])]), c_0_69]), c_0_70])). 0.17/0.52 thf(c_0_76, negated_conjecture, (ra @ esk1_0 @ esk2_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_68]), c_0_55])]), c_0_72]), c_0_73])). 0.17/0.52 thf(c_0_77, negated_conjecture, ![X3:$i]:(((ra @ X3 @ esk3_0)|~((ra @ X3 @ esk1_0)))), inference(spm,[status(thm)],[c_0_74, c_0_75])). 0.17/0.52 thf(c_0_78, negated_conjecture, (ra @ esk2_0 @ esk1_0), inference(spm,[status(thm)],[c_0_36, c_0_76])). 0.17/0.52 thf(c_0_79, negated_conjecture, ![X14:$i, X3:$i, X15:$i]:(((epred3_0 @ X14)|(epred4_0 @ X15)|~((rb @ esk4_0 @ X3))|~((ra @ X3 @ X14))|~((rb @ X3 @ X15))|~((epred1_0 @ esk2_0)))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_80, negated_conjecture, (ra @ esk2_0 @ esk3_0), inference(spm,[status(thm)],[c_0_77, c_0_78])). 0.17/0.52 thf(c_0_81, negated_conjecture, ![X3:$i, X14:$i]:(((epred3_0 @ X3)|(epred4_0 @ X14)|~((rb @ esk4_0 @ X3))|~((epred1_0 @ esk2_0))|~((rb @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_79, c_0_32])). 0.17/0.52 thf(c_0_82, negated_conjecture, (~((epred4_0 @ esk6_0))|~((epred1_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_83, negated_conjecture, (~((epred3_0 @ esk5_0))|~((epred1_0 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_84, negated_conjecture, ![X14:$i, X3:$i, X15:$i]:(((epred3_0 @ X14)|(epred4_0 @ X15)|~((rb @ esk4_0 @ X3))|~((ra @ X3 @ X14))|~((rb @ X3 @ X15))|~((epred2_0 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_85, negated_conjecture, ![X16:$i, X3:$i, X15:$i, X17:$i, X14:$i, X22:$i]:(((epred3_0 @ X14)|(epred4_0 @ X15)|(epred1_0 @ X17)|(epred2_0 @ X22)|~((rb @ esk4_0 @ X3))|~((ra @ X3 @ X14))|~((rb @ X3 @ X15))|~((ra @ esk1_0 @ X16))|~((ra @ X16 @ X17))|~((rb @ X16 @ X22)))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_86, negated_conjecture, (ra @ esk3_0 @ esk2_0), inference(spm,[status(thm)],[c_0_36, c_0_80])). 0.17/0.52 thf(c_0_87, negated_conjecture, ~((epred1_0 @ esk2_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_68]), c_0_55])]), c_0_82]), c_0_83])). 0.17/0.52 thf(c_0_88, negated_conjecture, ![X14:$i, X3:$i, X15:$i]:(((epred1_0 @ X14)|(epred2_0 @ X15)|~((epred4_0 @ esk6_0))|~((ra @ esk1_0 @ X3))|~((ra @ X3 @ X14))|~((rb @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_89, negated_conjecture, ![X3:$i, X14:$i]:(((epred3_0 @ X3)|(epred4_0 @ X14)|~((rb @ esk4_0 @ X3))|~((epred2_0 @ esk3_0))|~((rb @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_84, c_0_32])). 0.17/0.52 thf(c_0_90, negated_conjecture, (~((epred4_0 @ esk6_0))|~((epred2_0 @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_91, negated_conjecture, (~((epred3_0 @ esk5_0))|~((epred2_0 @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_92, negated_conjecture, ![X14:$i, X3:$i, X15:$i]:(((epred1_0 @ X14)|(epred2_0 @ X15)|~((epred3_0 @ esk5_0))|~((ra @ esk1_0 @ X3))|~((ra @ X3 @ X14))|~((rb @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.17/0.52 thf(c_0_93, negated_conjecture, ![X16:$i, X3:$i, X14:$i, X15:$i]:(((epred2_0 @ X3)|(epred3_0 @ X14)|(epred4_0 @ X15)|~((rb @ esk4_0 @ X16))|~((rb @ esk3_0 @ X3))|~((ra @ X16 @ X14))|~((rb @ X16 @ X15)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_75])]), c_0_87])). 0.17/0.52 thf(c_0_94, negated_conjecture, ![X3:$i]:(((epred2_0 @ X3)|~((rb @ esk3_0 @ X3))|~((epred4_0 @ esk6_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_86]), c_0_75])]), c_0_87])). 0.17/0.52 thf(c_0_95, negated_conjecture, ~((epred2_0 @ esk3_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_68]), c_0_55])]), c_0_90]), c_0_91])). 0.17/0.52 thf(c_0_96, negated_conjecture, ![X3:$i]:(((epred2_0 @ X3)|~((rb @ esk3_0 @ X3))|~((epred3_0 @ esk5_0)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_86]), c_0_75])]), c_0_87])). 0.17/0.52 thf(c_0_97, negated_conjecture, ![X14:$i, X15:$i, X3:$i]:(((epred4_0 @ X3)|(epred3_0 @ X14)|(epred2_0 @ X15)|~((rb @ esk4_0 @ X14))|~((rb @ esk3_0 @ X15))|~((rb @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_93, c_0_32])). 0.17/0.52 thf(c_0_98, negated_conjecture, ~((epred4_0 @ esk6_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_49]), c_0_95])). 0.17/0.52 thf(c_0_99, negated_conjecture, ~((epred3_0 @ esk5_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_49]), c_0_95])). 0.17/0.52 thf(c_0_100, negated_conjecture, ![X3:$i]:(((epred2_0 @ X3)|~((rb @ esk3_0 @ X3)))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_68]), c_0_55])]), c_0_98]), c_0_99])). 0.17/0.52 thf(c_0_101, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100, c_0_49]), c_0_95]), ['proof']). 0.17/0.52 # SZS output end CNFRefutation 0.17/0.52 # Parsed axioms : 72 0.17/0.52 # Removed by relevancy pruning/SinE : 0 0.17/0.52 # Initial clauses : 65 0.17/0.52 # Removed in clause preprocessing : 34 0.17/0.52 # Initial clauses in saturation : 31 0.17/0.52 # Processed clauses : 994 0.17/0.52 # ...of these trivial : 7 0.17/0.52 # ...subsumed : 555 0.17/0.52 # ...remaining for further processing : 432 0.17/0.52 # Other redundant clauses eliminated : 0 0.17/0.52 # Clauses deleted for lack of memory : 0 0.17/0.52 # Backward-subsumed : 294 0.17/0.52 # Backward-rewritten : 70 0.17/0.52 # Generated clauses : 2287 0.17/0.52 # ...of the previous two non-redundant : 1603 0.17/0.52 # ...aggressively subsumed : 0 0.17/0.52 # Contextual simplify-reflections : 102 0.17/0.52 # Paramodulations : 2287 0.17/0.52 # Factorizations : 0 0.17/0.52 # NegExts : 0 0.17/0.52 # Equation resolutions : 0 0.17/0.52 # Propositional unsat checks : 0 0.17/0.52 # Propositional check models : 0 0.17/0.52 # Propositional check unsatisfiable : 0 0.17/0.52 # Propositional clauses : 0 0.17/0.52 # Propositional clauses after purity: 0 0.17/0.52 # Propositional unsat core size : 0 0.17/0.52 # Propositional preprocessing time : 0.000 0.17/0.52 # Propositional encoding time : 0.000 0.17/0.52 # Propositional solver time : 0.000 0.17/0.52 # Success case prop preproc time : 0.000 0.17/0.52 # Success case prop encoding time : 0.000 0.17/0.52 # Success case prop solver time : 0.000 0.17/0.52 # Current number of processed clauses : 68 0.17/0.52 # Positive orientable unit clauses : 16 0.17/0.52 # Positive unorientable unit clauses: 0 0.17/0.52 # Negative unit clauses : 4 0.17/0.52 # Non-unit-clauses : 48 0.17/0.52 # Current number of unprocessed clauses: 21 0.17/0.52 # ...number of literals in the above : 142 0.17/0.52 # Current number of archived formulas : 0 0.17/0.52 # Current number of archived clauses : 364 0.17/0.52 # Clause-clause subsumption calls (NU) : 10507 0.17/0.52 # Rec. Clause-clause subsumption calls : 5276 0.17/0.52 # Non-unit clause-clause subsumptions : 862 0.17/0.52 # Unit Clause-clause subsumption calls : 505 0.17/0.52 # Rewrite failures with RHS unbound : 0 0.17/0.52 # BW rewrite match attempts : 15 0.17/0.52 # BW rewrite match successes : 13 0.17/0.52 # Condensation attempts : 0 0.17/0.52 # Condensation successes : 0 0.17/0.52 # Termbank termtop insertions : 34813 0.17/0.52 0.17/0.52 # ------------------------------------------------- 0.17/0.52 # User time : 0.061 s 0.17/0.52 # System time : 0.006 s 0.17/0.52 # Total time : 0.067 s 0.17/0.52 # Maximum resident set size: 2108 pages 0.17/0.52 0.17/0.52 # ------------------------------------------------- 0.17/0.52 # User time : 0.253 s 0.17/0.52 # System time : 0.021 s 0.17/0.52 # Total time : 0.274 s 0.17/0.52 # Maximum resident set size: 1800 pages 0.17/0.52 EOF