0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n024.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 05:16:52 EDT 2022 0.13/0.35 % CPUTime : 0.20/0.49 Running higher-order on 8 cores theorem proving 0.20/0.50 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=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.20/0.50 # Version: 3.0pre003-ho 0.20/0.52 # Preprocessing class: HSMSSMSSMLMNHSN. 0.20/0.52 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.20/0.52 # Starting ho_unfolding_3 with 600s (5) cores 0.20/0.52 # Starting ehoh_best2_full_lfho with 120s (1) cores 0.20/0.52 # Starting almost_fo_3_lam with 120s (1) cores 0.20/0.52 # Starting post_as_ho1 with 120s (1) cores 0.20/0.52 # ho_unfolding_3 with pid 5473 completed with status 0 0.20/0.52 # Result found by ho_unfolding_3 0.20/0.52 # Preprocessing class: HSMSSMSSMLMNHSN. 0.20/0.52 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.20/0.52 # Starting ho_unfolding_3 with 600s (5) cores 0.20/0.52 # No SInE strategy applied 0.20/0.52 # Search class: HGHNF-FFMM00-SHSSMFNN 0.20/0.52 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 0.20/0.52 # Starting new_ho_10 with 325s (1) cores 0.20/0.52 # Starting ho_unfolding_3 with 61s (1) cores 0.20/0.52 # Starting ehoh_best_sine_rwall with 55s (1) cores 0.20/0.52 # Starting lpo1_def_fix with 55s (1) cores 0.20/0.52 # Starting ehoh_best8_lambda with 55s (1) cores 0.20/0.52 # ehoh_best8_lambda with pid 5484 completed with status 0 0.20/0.52 # Result found by ehoh_best8_lambda 0.20/0.52 # Preprocessing class: HSMSSMSSMLMNHSN. 0.20/0.52 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.20/0.52 # Starting ho_unfolding_3 with 600s (5) cores 0.20/0.52 # No SInE strategy applied 0.20/0.52 # Search class: HGHNF-FFMM00-SHSSMFNN 0.20/0.52 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 0.20/0.52 # Starting new_ho_10 with 325s (1) cores 0.20/0.52 # Starting ho_unfolding_3 with 61s (1) cores 0.20/0.52 # Starting ehoh_best_sine_rwall with 55s (1) cores 0.20/0.52 # Starting lpo1_def_fix with 55s (1) cores 0.20/0.52 # Starting ehoh_best8_lambda with 55s (1) cores 0.20/0.52 # Preprocessing time : 0.001 s 0.20/0.52 # Presaturation interreduction done 0.20/0.52 0.20/0.52 # Proof found! 0.20/0.52 # SZS status Theorem 0.20/0.52 # SZS output start CNFRefutation 0.20/0.52 thf(decl_22, type, meq_ind: mu > mu > $i > $o). 0.20/0.52 thf(decl_23, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 0.20/0.52 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_26, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_28, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_29, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_30, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_31, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.20/0.52 thf(decl_32, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.20/0.52 thf(decl_33, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.20/0.52 thf(decl_34, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 0.20/0.52 thf(decl_35, type, mtrue: $i > $o). 0.20/0.52 thf(decl_36, type, mfalse: $i > $o). 0.20/0.52 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_38, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_39, type, mreflexive: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_40, type, msymmetric: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_41, type, mserial: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_42, type, mtransitive: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_43, type, meuclidean: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_44, type, mpartially_functional: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_45, type, mfunctional: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_46, type, mweakly_dense: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_47, type, mweakly_connected: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_48, type, mweakly_directed: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_49, type, mvalid: ($i > $o) > $o). 0.20/0.52 thf(decl_50, type, minvalid: ($i > $o) > $o). 0.20/0.52 thf(decl_51, type, msatisfiable: ($i > $o) > $o). 0.20/0.52 thf(decl_52, type, mcountersatisfiable: ($i > $o) > $o). 0.20/0.52 thf(decl_53, type, rel_s5: $i > $i > $o). 0.20/0.52 thf(decl_54, type, mbox_s5: ($i > $o) > $i > $o). 0.20/0.52 thf(decl_55, type, mdia_s5: ($i > $o) > $i > $o). 0.20/0.52 thf(decl_56, type, p: $i > $o). 0.20/0.52 thf(decl_57, type, q: $i > $o). 0.20/0.52 thf(decl_58, type, esk1_0: $i). 0.20/0.52 thf(decl_59, type, esk2_0: $i). 0.20/0.52 thf(decl_60, type, esk3_0: $i). 0.20/0.52 thf(decl_61, type, esk4_0: $i). 0.20/0.52 thf(decl_62, type, esk5_0: $i). 0.20/0.52 thf(mand, axiom, ((mand)=(^[X6:$i > $o, X7:$i > $o]:(mnot @ (mor @ (mnot @ X6) @ (mnot @ X7))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mand)). 0.20/0.52 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mnot)). 0.20/0.52 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mor)). 0.20/0.52 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mimplies)). 0.20/0.52 thf(mequiv, axiom, ((mequiv)=(^[X6:$i > $o, X7:$i > $o]:(mand @ (mimplies @ X6 @ X7) @ (mimplies @ X7 @ X6)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mequiv)). 0.20/0.52 thf(mdia_s5, axiom, ((mdia_s5)=(^[X6:$i > $o]:(mnot @ (mbox_s5 @ (mnot @ X6))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^6.ax', mdia_s5)). 0.20/0.52 thf(mbox_s5, axiom, ((mbox_s5)=(^[X6:$i > $o, X3:$i]:(![X14:$i]:((~((rel_s5 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^6.ax', mbox_s5)). 0.20/0.52 thf(mtransitive, axiom, ((mtransitive)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((X13 @ X15 @ X16)&(X13 @ X16 @ X17))=>(X13 @ X15 @ X17)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mtransitive)). 0.20/0.52 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mvalid)). 0.20/0.52 thf(msymmetric, axiom, ((msymmetric)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i]:(((X13 @ X15 @ X16)=>(X13 @ X16 @ X15)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', msymmetric)). 0.20/0.52 thf(a2, axiom, (mtransitive @ rel_s5), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^6.ax', a2)). 0.20/0.52 thf(prove, conjecture, (mvalid @ (mequiv @ (mdia_s5 @ (mand @ p @ (mdia_s5 @ q))) @ (mand @ (mdia_s5 @ p) @ (mdia_s5 @ q)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', prove)). 0.20/0.52 thf(a3, axiom, (msymmetric @ rel_s5), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^6.ax', a3)). 0.20/0.52 thf(c_0_13, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(fof_simplification,[status(thm)],[mand])). 0.20/0.52 thf(c_0_14, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.20/0.52 thf(c_0_15, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.20/0.52 thf(c_0_16, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.20/0.52 thf(c_0_17, plain, ((mequiv)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((((~((Z0 @ Z2)))|(Z1 @ Z2)))))|(~((((~((Z1 @ Z2)))|(Z0 @ Z2))))))))))), inference(fof_simplification,[status(thm)],[mequiv])). 0.20/0.52 thf(c_0_18, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_13, c_0_14]), c_0_15])). 0.20/0.52 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_16, c_0_14]), c_0_15])). 0.20/0.52 thf(c_0_20, plain, ((mdia_s5)=(^[Z0:$i > $o, Z1:$i]:(~((![X21:$i]:((~((rel_s5 @ Z1 @ X21))|(~((Z0 @ X21)))))))))), inference(fof_simplification,[status(thm)],[mdia_s5])). 0.20/0.52 thf(c_0_21, plain, ((mbox_s5)=(^[Z0:$i > $o, Z1:$i]:(![X14:$i]:((~((rel_s5 @ Z1 @ X14))|(Z0 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox_s5])). 0.20/0.52 thf(c_0_22, plain, ((mtransitive)=(^[Z0:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((Z0 @ X15 @ X16)&(Z0 @ X16 @ X17))=>(Z0 @ X15 @ X17)))))), inference(fof_simplification,[status(thm)],[mtransitive])). 0.20/0.52 thf(c_0_23, plain, ((mequiv)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((((~((Z0 @ Z2)))|(Z1 @ Z2)))))|(~((((~((Z1 @ Z2)))|(Z0 @ Z2))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17, c_0_18]), c_0_19])). 0.20/0.52 thf(c_0_24, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.20/0.52 thf(c_0_25, plain, ((mdia_s5)=(^[Z0:$i > $o, Z1:$i]:(~((![X21:$i]:((~((rel_s5 @ Z1 @ X21))|(~((Z0 @ X21)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20, c_0_14]), c_0_21])). 0.20/0.52 thf(c_0_26, plain, ((msymmetric)=(^[Z0:$i > $i > $o]:(![X15:$i, X16:$i]:(((Z0 @ X15 @ X16)=>(Z0 @ X16 @ X15)))))), inference(fof_simplification,[status(thm)],[msymmetric])). 0.20/0.52 thf(c_0_27, plain, ![X25:$i, X26:$i, X27:$i]:((((rel_s5 @ X25 @ X26)&(rel_s5 @ X26 @ X27))=>(rel_s5 @ X25 @ X27))), inference(apply_def,[status(thm)],[a2, c_0_22])). 0.20/0.52 thf(c_0_28, negated_conjecture, ~(![X32:$i]:(~((~((~(~(![X29:$i]:((~(rel_s5 @ X32 @ X29)|~(~((~(p @ X29)|~(~(![X28:$i]:((~(rel_s5 @ X29 @ X28)|~(q @ X28))))))))))))|~((~(~(![X30:$i]:((~(rel_s5 @ X32 @ X30)|~(p @ X30)))))|~(~(![X31:$i]:((~(rel_s5 @ X32 @ X31)|~(q @ X31)))))))))|~((~(~((~(~(![X30:$i]:((~(rel_s5 @ X32 @ X30)|~(p @ X30)))))|~(~(![X31:$i]:((~(rel_s5 @ X32 @ X31)|~(q @ X31))))))))|~(![X29:$i]:((~(rel_s5 @ X32 @ X29)|~(~((~(p @ X29)|~(~(![X28:$i]:((~(rel_s5 @ X29 @ X28)|~(q @ X28))))))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[prove]), c_0_18]), c_0_23]), c_0_24]), c_0_25])])). 0.20/0.52 thf(c_0_29, plain, ![X22:$i, X23:$i]:(((rel_s5 @ X22 @ X23)=>(rel_s5 @ X23 @ X22))), inference(apply_def,[status(thm)],[a3, c_0_26])). 0.20/0.52 thf(c_0_30, plain, ![X36:$i, X37:$i, X38:$i]:((~(rel_s5 @ X36 @ X37)|~(rel_s5 @ X37 @ X38)|(rel_s5 @ X36 @ X38))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])). 0.20/0.52 thf(c_0_31, negated_conjecture, ![X42:$i, X43:$i, X46:$i, X47:$i]:((((((((rel_s5 @ esk1_0 @ esk4_0)|(rel_s5 @ esk1_0 @ esk2_0))&((p @ esk4_0)|(rel_s5 @ esk1_0 @ esk2_0)))&(((rel_s5 @ esk1_0 @ esk5_0)|(rel_s5 @ esk1_0 @ esk2_0))&((q @ esk5_0)|(rel_s5 @ esk1_0 @ esk2_0))))&(~(rel_s5 @ esk1_0 @ X46)|(~(p @ X46)|(~(rel_s5 @ X46 @ X47)|~(q @ X47)))|(rel_s5 @ esk1_0 @ esk2_0)))&((((((rel_s5 @ esk1_0 @ esk4_0)|(p @ esk2_0))&((p @ esk4_0)|(p @ esk2_0)))&(((rel_s5 @ esk1_0 @ esk5_0)|(p @ esk2_0))&((q @ esk5_0)|(p @ esk2_0))))&(~(rel_s5 @ esk1_0 @ X46)|(~(p @ X46)|(~(rel_s5 @ X46 @ X47)|~(q @ X47)))|(p @ esk2_0)))&((((((rel_s5 @ esk1_0 @ esk4_0)|(rel_s5 @ esk2_0 @ esk3_0))&((p @ esk4_0)|(rel_s5 @ esk2_0 @ esk3_0)))&(((rel_s5 @ esk1_0 @ esk5_0)|(rel_s5 @ esk2_0 @ esk3_0))&((q @ esk5_0)|(rel_s5 @ esk2_0 @ esk3_0))))&(~(rel_s5 @ esk1_0 @ X46)|(~(p @ X46)|(~(rel_s5 @ X46 @ X47)|~(q @ X47)))|(rel_s5 @ esk2_0 @ esk3_0)))&(((((rel_s5 @ esk1_0 @ esk4_0)|(q @ esk3_0))&((p @ esk4_0)|(q @ esk3_0)))&(((rel_s5 @ esk1_0 @ esk5_0)|(q @ esk3_0))&((q @ esk5_0)|(q @ esk3_0))))&(~(rel_s5 @ esk1_0 @ X46)|(~(p @ X46)|(~(rel_s5 @ X46 @ X47)|~(q @ X47)))|(q @ esk3_0))))))&(((((rel_s5 @ esk1_0 @ esk4_0)|(~(rel_s5 @ esk1_0 @ X42)|~(p @ X42)|(~(rel_s5 @ esk1_0 @ X43)|~(q @ X43))))&((p @ esk4_0)|(~(rel_s5 @ esk1_0 @ X42)|~(p @ X42)|(~(rel_s5 @ esk1_0 @ X43)|~(q @ X43)))))&(((rel_s5 @ esk1_0 @ esk5_0)|(~(rel_s5 @ esk1_0 @ X42)|~(p @ X42)|(~(rel_s5 @ esk1_0 @ X43)|~(q @ X43))))&((q @ esk5_0)|(~(rel_s5 @ esk1_0 @ X42)|~(p @ X42)|(~(rel_s5 @ esk1_0 @ X43)|~(q @ X43))))))&(~(rel_s5 @ esk1_0 @ X46)|(~(p @ X46)|(~(rel_s5 @ X46 @ X47)|~(q @ X47)))|(~(rel_s5 @ esk1_0 @ X42)|~(p @ X42)|(~(rel_s5 @ esk1_0 @ X43)|~(q @ X43))))))), 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_28])])])])])). 0.20/0.52 thf(c_0_32, plain, ![X33:$i, X34:$i]:((~(rel_s5 @ X33 @ X34)|(rel_s5 @ X34 @ X33))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])). 0.20/0.52 thf(c_0_33, plain, ![X14:$i, X3:$i, X15:$i]:(((rel_s5 @ X3 @ X15)|~((rel_s5 @ X3 @ X14))|~((rel_s5 @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_30])). 0.20/0.52 thf(c_0_34, negated_conjecture, ((rel_s5 @ esk1_0 @ esk4_0)|(rel_s5 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.52 thf(c_0_35, plain, ![X3:$i, X14:$i]:(((rel_s5 @ X14 @ X3)|~((rel_s5 @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.20/0.52 thf(c_0_36, negated_conjecture, ((rel_s5 @ esk1_0 @ esk5_0)|(rel_s5 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.52 thf(c_0_37, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk2_0)|(rel_s5 @ X3 @ esk4_0)|~((rel_s5 @ X3 @ esk1_0)))), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.20/0.52 thf(c_0_38, negated_conjecture, ((rel_s5 @ esk1_0 @ esk2_0)|(rel_s5 @ esk5_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_35, c_0_36])). 0.20/0.52 thf(c_0_39, negated_conjecture, ((rel_s5 @ esk5_0 @ esk4_0)|(rel_s5 @ esk1_0 @ esk2_0)), inference(spm,[status(thm)],[c_0_37, c_0_38])). 0.20/0.52 thf(c_0_40, negated_conjecture, ((rel_s5 @ esk1_0 @ esk4_0)|(rel_s5 @ esk2_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.52 thf(c_0_41, negated_conjecture, ![X3:$i, X14:$i]:(((rel_s5 @ esk1_0 @ esk2_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((rel_s5 @ X3 @ X14))|~((q @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.52 thf(c_0_42, negated_conjecture, ((rel_s5 @ esk1_0 @ esk2_0)|(rel_s5 @ esk4_0 @ esk5_0)), inference(spm,[status(thm)],[c_0_35, c_0_39])). 0.20/0.52 thf(c_0_43, negated_conjecture, ((q @ esk5_0)|(rel_s5 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.52 thf(c_0_44, negated_conjecture, ((p @ esk4_0)|(rel_s5 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.52 thf(c_0_45, negated_conjecture, ((rel_s5 @ esk1_0 @ esk5_0)|(rel_s5 @ esk2_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.52 thf(c_0_46, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk4_0)|(rel_s5 @ X3 @ esk3_0)|~((rel_s5 @ X3 @ esk2_0)))), inference(spm,[status(thm)],[c_0_33, c_0_40])). 0.20/0.52 thf(c_0_47, negated_conjecture, (rel_s5 @ esk1_0 @ esk2_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43]), c_0_44]), c_0_34])). 0.20/0.52 thf(c_0_48, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|(rel_s5 @ X3 @ esk3_0)|~((rel_s5 @ X3 @ esk2_0)))), inference(spm,[status(thm)],[c_0_33, c_0_45])). 0.20/0.52 thf(c_0_49, negated_conjecture, ![X3:$i, X14:$i]:(((rel_s5 @ esk1_0 @ esk4_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X14))|~((q @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.52 thf(c_0_50, negated_conjecture, ((rel_s5 @ esk1_0 @ esk3_0)|(rel_s5 @ esk1_0 @ esk4_0)), inference(spm,[status(thm)],[c_0_46, c_0_47])). 0.20/0.52 thf(c_0_51, negated_conjecture, ((rel_s5 @ esk1_0 @ esk4_0)|(q @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.52 thf(c_0_52, negated_conjecture, ![X3:$i, X14:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X14))|~((q @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.52 thf(c_0_53, negated_conjecture, ((rel_s5 @ esk1_0 @ esk3_0)|(rel_s5 @ esk1_0 @ esk5_0)), inference(spm,[status(thm)],[c_0_48, c_0_47])). 0.20/0.52 thf(c_0_54, negated_conjecture, ((rel_s5 @ esk1_0 @ esk5_0)|(q @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.52 thf(c_0_55, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk4_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51])). 0.20/0.52 thf(c_0_56, negated_conjecture, ((rel_s5 @ esk1_0 @ esk4_0)|(p @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.52 thf(c_0_57, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_54])). 0.20/0.52 thf(c_0_58, negated_conjecture, ((rel_s5 @ esk1_0 @ esk5_0)|(p @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.52 thf(c_0_59, negated_conjecture, (rel_s5 @ esk1_0 @ esk4_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_47]), c_0_56])). 0.20/0.52 thf(c_0_60, negated_conjecture, (rel_s5 @ esk1_0 @ esk5_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_47]), c_0_58])). 0.20/0.52 thf(c_0_61, negated_conjecture, ![X3:$i]:(((rel_s5 @ X3 @ esk4_0)|~((rel_s5 @ X3 @ esk1_0)))), inference(spm,[status(thm)],[c_0_33, c_0_59])). 0.20/0.52 thf(c_0_62, negated_conjecture, (rel_s5 @ esk5_0 @ esk1_0), inference(spm,[status(thm)],[c_0_35, c_0_60])). 0.20/0.52 thf(c_0_63, negated_conjecture, (rel_s5 @ esk5_0 @ esk4_0), inference(spm,[status(thm)],[c_0_61, c_0_62])). 0.20/0.53 thf(c_0_64, negated_conjecture, ![X15:$i, X3:$i, X14:$i, X16:$i]:((~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((rel_s5 @ X3 @ X14))|~((q @ X14))|~((rel_s5 @ esk1_0 @ X15))|~((p @ X15))|~((rel_s5 @ esk1_0 @ X16))|~((q @ X16)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.53 thf(c_0_65, negated_conjecture, (rel_s5 @ esk4_0 @ esk5_0), inference(spm,[status(thm)],[c_0_35, c_0_63])). 0.20/0.53 thf(c_0_66, negated_conjecture, ![X3:$i, X14:$i]:(((q @ esk5_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X14))|~((q @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.53 thf(c_0_67, negated_conjecture, ![X3:$i, X14:$i]:(((p @ esk4_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X14))|~((q @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.53 thf(c_0_68, negated_conjecture, ![X14:$i, X3:$i]:((~((rel_s5 @ esk1_0 @ X3))|~((rel_s5 @ esk1_0 @ X14))|~((p @ X14))|~((q @ X3)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_59])]), c_0_66]), c_0_67])). 0.20/0.53 thf(c_0_69, negated_conjecture, ![X3:$i]:((~((rel_s5 @ esk1_0 @ X3))|~((q @ esk5_0))|~((p @ X3)))), inference(spm,[status(thm)],[c_0_68, c_0_60])). 0.20/0.53 thf(c_0_70, negated_conjecture, ((q @ esk5_0)|(rel_s5 @ esk2_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.53 thf(c_0_71, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk2_0 @ esk3_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(spm,[status(thm)],[c_0_69, c_0_70])). 0.20/0.53 thf(c_0_72, negated_conjecture, ((p @ esk4_0)|(rel_s5 @ esk2_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.53 thf(c_0_73, negated_conjecture, (rel_s5 @ esk2_0 @ esk1_0), inference(spm,[status(thm)],[c_0_35, c_0_47])). 0.20/0.53 thf(c_0_74, negated_conjecture, (rel_s5 @ esk2_0 @ esk3_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_59]), c_0_72])). 0.20/0.53 thf(c_0_75, negated_conjecture, ![X3:$i]:(((rel_s5 @ X3 @ esk1_0)|~((rel_s5 @ X3 @ esk2_0)))), inference(spm,[status(thm)],[c_0_33, c_0_73])). 0.20/0.53 thf(c_0_76, negated_conjecture, (rel_s5 @ esk3_0 @ esk2_0), inference(spm,[status(thm)],[c_0_35, c_0_74])). 0.20/0.53 thf(c_0_77, negated_conjecture, (rel_s5 @ esk3_0 @ esk1_0), inference(spm,[status(thm)],[c_0_75, c_0_76])). 0.20/0.53 thf(c_0_78, negated_conjecture, ![X3:$i, X14:$i]:(((q @ esk3_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((rel_s5 @ X3 @ X14))|~((q @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.53 thf(c_0_79, negated_conjecture, ((q @ esk5_0)|(q @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.53 thf(c_0_80, negated_conjecture, ((p @ esk4_0)|(q @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.53 thf(c_0_81, negated_conjecture, (rel_s5 @ esk1_0 @ esk3_0), inference(spm,[status(thm)],[c_0_35, c_0_77])). 0.20/0.53 thf(c_0_82, negated_conjecture, (q @ esk3_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_65]), c_0_59])]), c_0_79]), c_0_80])). 0.20/0.53 thf(c_0_83, negated_conjecture, ![X3:$i, X14:$i]:(((p @ esk2_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((rel_s5 @ X3 @ X14))|~((q @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.53 thf(c_0_84, negated_conjecture, ((q @ esk5_0)|(p @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.53 thf(c_0_85, negated_conjecture, ((p @ esk4_0)|(p @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.20/0.53 thf(c_0_86, negated_conjecture, ![X3:$i]:((~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_81]), c_0_82])])). 0.20/0.53 thf(c_0_87, negated_conjecture, (p @ esk2_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_65]), c_0_59])]), c_0_84]), c_0_85])). 0.20/0.53 thf(c_0_88, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_47]), c_0_87])]), ['proof']). 0.20/0.53 # SZS output end CNFRefutation 0.20/0.53 # Parsed axioms : 74 0.20/0.53 # Removed by relevancy pruning/SinE : 0 0.20/0.53 # Initial clauses : 65 0.20/0.53 # Removed in clause preprocessing : 37 0.20/0.53 # Initial clauses in saturation : 28 0.20/0.53 # Processed clauses : 272 0.20/0.53 # ...of these trivial : 2 0.20/0.53 # ...subsumed : 79 0.20/0.53 # ...remaining for further processing : 191 0.20/0.53 # Other redundant clauses eliminated : 0 0.20/0.53 # Clauses deleted for lack of memory : 0 0.20/0.53 # Backward-subsumed : 66 0.20/0.53 # Backward-rewritten : 61 0.20/0.53 # Generated clauses : 375 0.20/0.53 # ...of the previous two non-redundant : 301 0.20/0.53 # ...aggressively subsumed : 0 0.20/0.53 # Contextual simplify-reflections : 44 0.20/0.53 # Paramodulations : 375 0.20/0.53 # Factorizations : 0 0.20/0.53 # NegExts : 0 0.20/0.53 # Equation resolutions : 0 0.20/0.53 # Propositional unsat checks : 0 0.20/0.53 # Propositional check models : 0 0.20/0.53 # Propositional check unsatisfiable : 0 0.20/0.53 # Propositional clauses : 0 0.20/0.53 # Propositional clauses after purity: 0 0.20/0.53 # Propositional unsat core size : 0 0.20/0.53 # Propositional preprocessing time : 0.000 0.20/0.53 # Propositional encoding time : 0.000 0.20/0.53 # Propositional solver time : 0.000 0.20/0.53 # Success case prop preproc time : 0.000 0.20/0.53 # Success case prop encoding time : 0.000 0.20/0.53 # Success case prop solver time : 0.000 0.20/0.53 # Current number of processed clauses : 36 0.20/0.53 # Positive orientable unit clauses : 20 0.20/0.53 # Positive unorientable unit clauses: 0 0.20/0.53 # Negative unit clauses : 2 0.20/0.53 # Non-unit-clauses : 14 0.20/0.53 # Current number of unprocessed clauses: 15 0.20/0.53 # ...number of literals in the above : 32 0.20/0.53 # Current number of archived formulas : 0 0.20/0.53 # Current number of archived clauses : 155 0.20/0.53 # Clause-clause subsumption calls (NU) : 1378 0.20/0.53 # Rec. Clause-clause subsumption calls : 868 0.20/0.53 # Non-unit clause-clause subsumptions : 177 0.20/0.53 # Unit Clause-clause subsumption calls : 58 0.20/0.53 # Rewrite failures with RHS unbound : 0 0.20/0.53 # BW rewrite match attempts : 7 0.20/0.53 # BW rewrite match successes : 6 0.20/0.53 # Condensation attempts : 0 0.20/0.53 # Condensation successes : 0 0.20/0.53 # Termbank termtop insertions : 13094 0.20/0.53 0.20/0.53 # ------------------------------------------------- 0.20/0.53 # User time : 0.023 s 0.20/0.53 # System time : 0.002 s 0.20/0.53 # Total time : 0.025 s 0.20/0.53 # Maximum resident set size: 2016 pages 0.20/0.53 0.20/0.53 # ------------------------------------------------- 0.20/0.53 # User time : 0.104 s 0.20/0.53 # System time : 0.010 s 0.20/0.53 # Total time : 0.114 s 0.20/0.53 # Maximum resident set size: 1800 pages 0.20/0.53 EOF