0.09/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.09/0.11 % Command : run_E %s %d THM 0.11/0.31 % Computer : n005.cluster.edu 0.11/0.31 % Model : x86_64 x86_64 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.31 % Memory : 8042.1875MB 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.31 % CPULimit : 960 0.11/0.31 % WCLimit : 120 0.11/0.31 % DateTime : Tue Aug 9 05:15:19 EDT 2022 0.15/0.31 % CPUTime : 0.16/0.42 Running higher-order on 8 cores theorem proving 0.16/0.42 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 0.16/0.43 # Version: 3.0pre003-ho 0.16/0.45 # Preprocessing class: HSMSSMSSMLMNHSN. 0.16/0.45 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.16/0.45 # Starting ho_unfolding_3 with 600s (5) cores 0.16/0.45 # Starting ehoh_best2_full_lfho with 120s (1) cores 0.16/0.45 # Starting almost_fo_3_lam with 120s (1) cores 0.16/0.45 # Starting post_as_ho1 with 120s (1) cores 0.16/0.45 # ho_unfolding_3 with pid 13221 completed with status 0 0.16/0.45 # Result found by ho_unfolding_3 0.16/0.45 # Preprocessing class: HSMSSMSSMLMNHSN. 0.16/0.45 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.16/0.45 # Starting ho_unfolding_3 with 600s (5) cores 0.16/0.45 # No SInE strategy applied 0.16/0.45 # Search class: HGHNF-FFMS11-SHSSMFNN 0.16/0.45 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 0.16/0.45 # Starting new_ho_10 with 325s (1) cores 0.16/0.45 # Starting ho_unfolding_3 with 61s (1) cores 0.16/0.45 # Starting ehoh_best_sine_rwall with 55s (1) cores 0.16/0.45 # Starting lpo1_def_fix with 55s (1) cores 0.16/0.45 # Starting ehoh_best8_lambda with 55s (1) cores 0.16/0.45 # ehoh_best8_lambda with pid 13232 completed with status 0 0.16/0.45 # Result found by ehoh_best8_lambda 0.16/0.45 # Preprocessing class: HSMSSMSSMLMNHSN. 0.16/0.45 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.16/0.45 # Starting ho_unfolding_3 with 600s (5) cores 0.16/0.45 # No SInE strategy applied 0.16/0.45 # Search class: HGHNF-FFMS11-SHSSMFNN 0.16/0.45 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 0.16/0.45 # Starting new_ho_10 with 325s (1) cores 0.16/0.45 # Starting ho_unfolding_3 with 61s (1) cores 0.16/0.45 # Starting ehoh_best_sine_rwall with 55s (1) cores 0.16/0.45 # Starting lpo1_def_fix with 55s (1) cores 0.16/0.45 # Starting ehoh_best8_lambda with 55s (1) cores 0.16/0.45 # Preprocessing time : 0.001 s 0.16/0.45 # Presaturation interreduction done 0.16/0.45 0.16/0.45 # Proof found! 0.16/0.45 # SZS status Theorem 0.16/0.45 # SZS output start CNFRefutation 0.16/0.45 thf(decl_22, type, meq_ind: mu > mu > $i > $o). 0.16/0.45 thf(decl_23, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.45 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 0.16/0.45 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.45 thf(decl_26, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.45 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.45 thf(decl_28, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.45 thf(decl_29, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.45 thf(decl_30, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.45 thf(decl_31, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.16/0.45 thf(decl_32, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.16/0.45 thf(decl_33, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.16/0.45 thf(decl_34, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 0.16/0.45 thf(decl_35, type, mtrue: $i > $o). 0.16/0.45 thf(decl_36, type, mfalse: $i > $o). 0.16/0.45 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.16/0.45 thf(decl_38, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.16/0.45 thf(decl_39, type, mreflexive: ($i > $i > $o) > $o). 0.16/0.45 thf(decl_40, type, msymmetric: ($i > $i > $o) > $o). 0.16/0.45 thf(decl_41, type, mserial: ($i > $i > $o) > $o). 0.16/0.45 thf(decl_42, type, mtransitive: ($i > $i > $o) > $o). 0.16/0.45 thf(decl_43, type, meuclidean: ($i > $i > $o) > $o). 0.16/0.45 thf(decl_44, type, mpartially_functional: ($i > $i > $o) > $o). 0.16/0.45 thf(decl_45, type, mfunctional: ($i > $i > $o) > $o). 0.16/0.45 thf(decl_46, type, mweakly_dense: ($i > $i > $o) > $o). 0.16/0.45 thf(decl_47, type, mweakly_connected: ($i > $i > $o) > $o). 0.16/0.45 thf(decl_48, type, mweakly_directed: ($i > $i > $o) > $o). 0.16/0.45 thf(decl_49, type, mvalid: ($i > $o) > $o). 0.16/0.45 thf(decl_50, type, minvalid: ($i > $o) > $o). 0.16/0.45 thf(decl_51, type, msatisfiable: ($i > $o) > $o). 0.16/0.45 thf(decl_52, type, mcountersatisfiable: ($i > $o) > $o). 0.16/0.45 thf(decl_53, type, rel_s5: $i > $i > $o). 0.16/0.45 thf(decl_54, type, mbox_s5: ($i > $o) > $i > $o). 0.16/0.45 thf(decl_55, type, mdia_s5: ($i > $o) > $i > $o). 0.16/0.45 thf(decl_56, type, p: $i > $o). 0.16/0.45 thf(decl_57, type, q: $i > $o). 0.16/0.45 thf(decl_58, type, esk1_0: $i). 0.16/0.45 thf(decl_59, type, esk2_1: $i > $i). 0.16/0.45 thf(decl_60, type, esk3_0: $i). 0.16/0.45 thf(decl_61, type, esk4_0: $i). 0.16/0.45 thf(decl_62, type, esk5_0: $i). 0.16/0.45 thf(mand, axiom, ((mand)=(^[X6:$i > $o, X7:$i > $o]:(mnot @ (mor @ (mnot @ X6) @ (mnot @ X7))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mand)). 0.16/0.45 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mnot)). 0.16/0.45 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)). 0.16/0.45 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mimplies)). 0.16/0.45 thf(mequiv, axiom, ((mequiv)=(^[X6:$i > $o, X7:$i > $o]:(mand @ (mimplies @ X6 @ X7) @ (mimplies @ X7 @ X6)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mequiv)). 0.16/0.45 thf(mdia_s5, axiom, ((mdia_s5)=(^[X6:$i > $o]:(mnot @ (mbox_s5 @ (mnot @ X6))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^6.ax', mdia_s5)). 0.16/0.45 thf(mbox_s5, axiom, ((mbox_s5)=(^[X6:$i > $o, X3:$i]:(![X14:$i]:((~((rel_s5 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^6.ax', mbox_s5)). 0.16/0.45 thf(msymmetric, axiom, ((msymmetric)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i]:(((X13 @ X15 @ X16)=>(X13 @ X16 @ X15)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', msymmetric)). 0.16/0.45 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mvalid)). 0.16/0.45 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)). 0.16/0.45 thf(a3, axiom, (msymmetric @ rel_s5), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^6.ax', a3)). 0.16/0.45 thf(prove, conjecture, (mvalid @ (mequiv @ (mbox_s5 @ (mor @ (mnot @ p) @ (mdia_s5 @ q))) @ (mor @ (mnot @ (mdia_s5 @ p)) @ (mdia_s5 @ q)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove)). 0.16/0.45 thf(a2, axiom, (mtransitive @ rel_s5), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^6.ax', a2)). 0.16/0.45 thf(c_0_13, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(fof_simplification,[status(thm)],[mand])). 0.16/0.45 thf(c_0_14, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.16/0.45 thf(c_0_15, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.16/0.45 thf(c_0_16, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.16/0.45 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])). 0.16/0.45 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])). 0.16/0.45 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])). 0.16/0.45 thf(c_0_20, plain, ((mdia_s5)=(^[Z0:$i > $o, Z1:$i]:(~((![X21:$i]:((~((rel_s5 @ Z1 @ X21))|(~((Z0 @ X21)))))))))), inference(fof_simplification,[status(thm)],[mdia_s5])). 0.16/0.45 thf(c_0_21, plain, ((mbox_s5)=(^[Z0:$i > $o, Z1:$i]:(![X14:$i]:((~((rel_s5 @ Z1 @ X14))|(Z0 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox_s5])). 0.16/0.45 thf(c_0_22, plain, ((msymmetric)=(^[Z0:$i > $i > $o]:(![X15:$i, X16:$i]:(((Z0 @ X15 @ X16)=>(Z0 @ X16 @ X15)))))), inference(fof_simplification,[status(thm)],[msymmetric])). 0.16/0.45 thf(c_0_23, plain, ((mequiv)=(^[Z0:$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])). 0.16/0.45 thf(c_0_24, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.16/0.45 thf(c_0_25, plain, ((mdia_s5)=(^[Z0:$i > $o, Z1:$i]:(~((![X21:$i]:((~((rel_s5 @ Z1 @ X21))|(~((Z0 @ X21)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20, c_0_14]), c_0_21])). 0.16/0.45 thf(c_0_26, plain, ((mtransitive)=(^[Z0:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((Z0 @ X15 @ X16)&(Z0 @ X16 @ X17))=>(Z0 @ X15 @ X17)))))), inference(fof_simplification,[status(thm)],[mtransitive])). 0.16/0.45 thf(c_0_27, plain, ![X22:$i, X23:$i]:(((rel_s5 @ X22 @ X23)=>(rel_s5 @ X23 @ X22))), inference(apply_def,[status(thm)],[a3, c_0_22])). 0.16/0.45 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:$i]:((~(rel_s5 @ X29 @ X28)|~(q @ X28))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[prove]), c_0_14]), c_0_15]), c_0_23]), c_0_24]), c_0_21]), c_0_25])])). 0.16/0.45 thf(c_0_29, plain, ![X25:$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_26])). 0.16/0.45 thf(c_0_30, 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_27])])). 0.16/0.45 thf(c_0_31, negated_conjecture, ![X40:$i, X43:$i, X44:$i, X47:$i]:(((((((rel_s5 @ esk1_0 @ esk4_0)|(~(rel_s5 @ esk1_0 @ X44)|~(p @ X44))|((rel_s5 @ X40 @ (esk2_1 @ X40))|~(p @ X40)|~(rel_s5 @ esk1_0 @ X40)))&((q @ esk4_0)|(~(rel_s5 @ esk1_0 @ X44)|~(p @ X44))|((rel_s5 @ X40 @ (esk2_1 @ X40))|~(p @ X40)|~(rel_s5 @ esk1_0 @ X40))))&(((rel_s5 @ esk1_0 @ esk5_0)|((rel_s5 @ X40 @ (esk2_1 @ X40))|~(p @ X40)|~(rel_s5 @ esk1_0 @ X40)))&(((p @ esk5_0)|((rel_s5 @ X40 @ (esk2_1 @ X40))|~(p @ X40)|~(rel_s5 @ esk1_0 @ X40)))&(~(rel_s5 @ esk5_0 @ X47)|~(q @ X47)|((rel_s5 @ X40 @ (esk2_1 @ X40))|~(p @ X40)|~(rel_s5 @ esk1_0 @ X40))))))&((((rel_s5 @ esk1_0 @ esk4_0)|(~(rel_s5 @ esk1_0 @ X44)|~(p @ X44))|((q @ (esk2_1 @ X40))|~(p @ X40)|~(rel_s5 @ esk1_0 @ X40)))&((q @ esk4_0)|(~(rel_s5 @ esk1_0 @ X44)|~(p @ X44))|((q @ (esk2_1 @ X40))|~(p @ X40)|~(rel_s5 @ esk1_0 @ X40))))&(((rel_s5 @ esk1_0 @ esk5_0)|((q @ (esk2_1 @ X40))|~(p @ X40)|~(rel_s5 @ esk1_0 @ X40)))&(((p @ esk5_0)|((q @ (esk2_1 @ X40))|~(p @ X40)|~(rel_s5 @ esk1_0 @ X40)))&(~(rel_s5 @ esk5_0 @ X47)|~(q @ X47)|((q @ (esk2_1 @ X40))|~(p @ X40)|~(rel_s5 @ esk1_0 @ X40)))))))&((((((rel_s5 @ esk1_0 @ esk4_0)|(~(rel_s5 @ esk1_0 @ X44)|~(p @ X44))|(rel_s5 @ esk1_0 @ esk3_0))&((q @ esk4_0)|(~(rel_s5 @ esk1_0 @ X44)|~(p @ X44))|(rel_s5 @ esk1_0 @ esk3_0)))&(((rel_s5 @ esk1_0 @ esk5_0)|(rel_s5 @ esk1_0 @ esk3_0))&(((p @ esk5_0)|(rel_s5 @ esk1_0 @ esk3_0))&(~(rel_s5 @ esk5_0 @ X47)|~(q @ X47)|(rel_s5 @ esk1_0 @ esk3_0)))))&((((rel_s5 @ esk1_0 @ esk4_0)|(~(rel_s5 @ esk1_0 @ X44)|~(p @ X44))|(p @ esk3_0))&((q @ esk4_0)|(~(rel_s5 @ esk1_0 @ X44)|~(p @ X44))|(p @ esk3_0)))&(((rel_s5 @ esk1_0 @ esk5_0)|(p @ esk3_0))&(((p @ esk5_0)|(p @ esk3_0))&(~(rel_s5 @ esk5_0 @ X47)|~(q @ X47)|(p @ esk3_0))))))&((((rel_s5 @ esk1_0 @ esk4_0)|(~(rel_s5 @ esk1_0 @ X44)|~(p @ X44))|(~(rel_s5 @ esk1_0 @ X43)|~(q @ X43)))&((q @ esk4_0)|(~(rel_s5 @ esk1_0 @ X44)|~(p @ X44))|(~(rel_s5 @ esk1_0 @ X43)|~(q @ X43))))&(((rel_s5 @ esk1_0 @ esk5_0)|(~(rel_s5 @ esk1_0 @ X43)|~(q @ X43)))&(((p @ esk5_0)|(~(rel_s5 @ esk1_0 @ X43)|~(q @ X43)))&(~(rel_s5 @ esk5_0 @ X47)|~(q @ X47)|(~(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])])])])])). 0.16/0.45 thf(c_0_32, plain, ![X36:$i, X37:$i, X38:$i]:((~(rel_s5 @ X36 @ X37)|~(rel_s5 @ X37 @ X38)|(rel_s5 @ X36 @ X38))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])). 0.16/0.45 thf(c_0_33, plain, ![X3:$i, X14:$i]:(((rel_s5 @ X14 @ X3)|~((rel_s5 @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_30])). 0.16/0.45 thf(c_0_34, negated_conjecture, ((rel_s5 @ esk1_0 @ esk5_0)|(rel_s5 @ esk1_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_35, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|(rel_s5 @ X3 @ (esk2_1 @ X3))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_36, negated_conjecture, ((rel_s5 @ esk1_0 @ esk5_0)|(p @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_37, plain, ![X14:$i, X3:$i, X15:$i]:(((rel_s5 @ X3 @ X15)|~((rel_s5 @ X3 @ X14))|~((rel_s5 @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.16/0.45 thf(c_0_38, negated_conjecture, ((rel_s5 @ esk1_0 @ esk5_0)|(rel_s5 @ esk3_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.16/0.45 thf(c_0_39, negated_conjecture, ((rel_s5 @ esk3_0 @ (esk2_1 @ esk3_0))|(rel_s5 @ esk1_0 @ esk5_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_34]), c_0_36])). 0.16/0.45 thf(c_0_40, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|(rel_s5 @ X3 @ esk1_0)|~((rel_s5 @ X3 @ esk3_0)))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 0.16/0.45 thf(c_0_41, negated_conjecture, ((rel_s5 @ (esk2_1 @ esk3_0) @ esk3_0)|(rel_s5 @ esk1_0 @ esk5_0)), inference(spm,[status(thm)],[c_0_33, c_0_39])). 0.16/0.45 thf(c_0_42, negated_conjecture, ((rel_s5 @ (esk2_1 @ esk3_0) @ esk1_0)|(rel_s5 @ esk1_0 @ esk5_0)), inference(spm,[status(thm)],[c_0_40, c_0_41])). 0.16/0.45 thf(c_0_43, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|(q @ (esk2_1 @ X3))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_44, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|~((rel_s5 @ esk1_0 @ X3))|~((q @ X3)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_45, negated_conjecture, ((rel_s5 @ esk1_0 @ (esk2_1 @ esk3_0))|(rel_s5 @ esk1_0 @ esk5_0)), inference(spm,[status(thm)],[c_0_33, c_0_42])). 0.16/0.45 thf(c_0_46, negated_conjecture, ((q @ (esk2_1 @ esk3_0))|(rel_s5 @ esk1_0 @ esk5_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_34]), c_0_36])). 0.16/0.45 thf(c_0_47, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk4_0)|(rel_s5 @ esk1_0 @ esk3_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_48, negated_conjecture, (rel_s5 @ esk1_0 @ esk5_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_46])). 0.16/0.45 thf(c_0_49, negated_conjecture, ((p @ esk5_0)|(rel_s5 @ esk1_0 @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_50, negated_conjecture, ((rel_s5 @ esk1_0 @ esk4_0)|(rel_s5 @ esk1_0 @ esk3_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48]), c_0_49])). 0.16/0.45 thf(c_0_51, negated_conjecture, ![X3:$i]:(((rel_s5 @ X3 @ esk5_0)|~((rel_s5 @ X3 @ esk1_0)))), inference(spm,[status(thm)],[c_0_37, c_0_48])). 0.16/0.45 thf(c_0_52, negated_conjecture, ((rel_s5 @ esk1_0 @ esk3_0)|(rel_s5 @ esk4_0 @ esk1_0)), inference(spm,[status(thm)],[c_0_33, c_0_50])). 0.16/0.45 thf(c_0_53, negated_conjecture, ((rel_s5 @ esk1_0 @ esk3_0)|(rel_s5 @ esk4_0 @ esk5_0)), inference(spm,[status(thm)],[c_0_51, c_0_52])). 0.16/0.45 thf(c_0_54, negated_conjecture, ![X3:$i]:(((q @ esk4_0)|(rel_s5 @ esk1_0 @ esk3_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_55, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk3_0)|~((rel_s5 @ esk5_0 @ X3))|~((q @ X3)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_56, negated_conjecture, ((rel_s5 @ esk1_0 @ esk3_0)|(rel_s5 @ esk5_0 @ esk4_0)), inference(spm,[status(thm)],[c_0_33, c_0_53])). 0.16/0.45 thf(c_0_57, negated_conjecture, ((rel_s5 @ esk1_0 @ esk3_0)|(q @ esk4_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_48]), c_0_49])). 0.16/0.45 thf(c_0_58, negated_conjecture, (rel_s5 @ esk1_0 @ esk3_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_57])). 0.16/0.45 thf(c_0_59, negated_conjecture, ![X3:$i]:(((p @ esk5_0)|(rel_s5 @ X3 @ (esk2_1 @ X3))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_60, negated_conjecture, ((p @ esk5_0)|(p @ esk3_0)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_61, negated_conjecture, (rel_s5 @ esk3_0 @ esk1_0), inference(spm,[status(thm)],[c_0_33, c_0_58])). 0.16/0.45 thf(c_0_62, negated_conjecture, ((rel_s5 @ esk3_0 @ (esk2_1 @ esk3_0))|(p @ esk5_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_58]), c_0_60])). 0.16/0.45 thf(c_0_63, negated_conjecture, ![X3:$i]:(((rel_s5 @ X3 @ esk1_0)|~((rel_s5 @ X3 @ esk3_0)))), inference(spm,[status(thm)],[c_0_37, c_0_61])). 0.16/0.45 thf(c_0_64, negated_conjecture, ((rel_s5 @ (esk2_1 @ esk3_0) @ esk3_0)|(p @ esk5_0)), inference(spm,[status(thm)],[c_0_33, c_0_62])). 0.16/0.45 thf(c_0_65, negated_conjecture, ((rel_s5 @ (esk2_1 @ esk3_0) @ esk1_0)|(p @ esk5_0)), inference(spm,[status(thm)],[c_0_63, c_0_64])). 0.16/0.45 thf(c_0_66, negated_conjecture, ![X3:$i]:(((p @ esk5_0)|(q @ (esk2_1 @ X3))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_67, negated_conjecture, ![X3:$i]:(((p @ esk5_0)|~((rel_s5 @ esk1_0 @ X3))|~((q @ X3)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_68, negated_conjecture, ((rel_s5 @ esk1_0 @ (esk2_1 @ esk3_0))|(p @ esk5_0)), inference(spm,[status(thm)],[c_0_33, c_0_65])). 0.16/0.45 thf(c_0_69, negated_conjecture, ((q @ (esk2_1 @ esk3_0))|(p @ esk5_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_58]), c_0_60])). 0.16/0.45 thf(c_0_70, negated_conjecture, ![X3:$i, X14:$i]:(((rel_s5 @ esk1_0 @ esk4_0)|(rel_s5 @ X14 @ (esk2_1 @ X14))|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((p @ X14))|~((rel_s5 @ esk1_0 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_71, negated_conjecture, (p @ esk5_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_68]), c_0_69])). 0.16/0.45 thf(c_0_72, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk5_0 @ (esk2_1 @ esk5_0))|(rel_s5 @ esk1_0 @ esk4_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_48]), c_0_71])])). 0.16/0.45 thf(c_0_73, negated_conjecture, ![X3:$i, X14:$i]:(((q @ esk4_0)|(rel_s5 @ X14 @ (esk2_1 @ X14))|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((p @ X14))|~((rel_s5 @ esk1_0 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_74, negated_conjecture, ((rel_s5 @ esk5_0 @ (esk2_1 @ esk5_0))|(rel_s5 @ esk1_0 @ esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_48]), c_0_71])])). 0.16/0.45 thf(c_0_75, negated_conjecture, ![X3:$i, X14:$i]:(((rel_s5 @ esk1_0 @ esk4_0)|(q @ (esk2_1 @ X14))|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((p @ X14))|~((rel_s5 @ esk1_0 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_76, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk5_0 @ (esk2_1 @ esk5_0))|(q @ esk4_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_48]), c_0_71])])). 0.16/0.45 thf(c_0_77, negated_conjecture, ![X3:$i]:(((rel_s5 @ X3 @ (esk2_1 @ esk5_0))|(rel_s5 @ esk1_0 @ esk4_0)|~((rel_s5 @ X3 @ esk5_0)))), inference(spm,[status(thm)],[c_0_37, c_0_74])). 0.16/0.45 thf(c_0_78, negated_conjecture, ![X3:$i]:(((q @ (esk2_1 @ esk5_0))|(rel_s5 @ esk1_0 @ esk4_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_48]), c_0_71])])). 0.16/0.45 thf(c_0_79, negated_conjecture, ((rel_s5 @ esk5_0 @ (esk2_1 @ esk5_0))|(q @ esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_48]), c_0_71])])). 0.16/0.45 thf(c_0_80, negated_conjecture, ![X3:$i, X14:$i]:(((q @ esk4_0)|(q @ (esk2_1 @ X14))|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((p @ X14))|~((rel_s5 @ esk1_0 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_81, negated_conjecture, ![X3:$i, X14:$i]:((~((rel_s5 @ esk5_0 @ X3))|~((q @ X3))|~((rel_s5 @ esk1_0 @ X14))|~((q @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.45 thf(c_0_82, negated_conjecture, ((rel_s5 @ esk1_0 @ (esk2_1 @ esk5_0))|(rel_s5 @ esk1_0 @ esk4_0)), inference(spm,[status(thm)],[c_0_77, c_0_48])). 0.16/0.45 thf(c_0_83, negated_conjecture, ((rel_s5 @ esk1_0 @ esk4_0)|(q @ (esk2_1 @ esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_48]), c_0_71])])). 0.16/0.45 thf(c_0_84, negated_conjecture, ![X3:$i]:(((rel_s5 @ X3 @ (esk2_1 @ esk5_0))|(q @ esk4_0)|~((rel_s5 @ X3 @ esk5_0)))), inference(spm,[status(thm)],[c_0_37, c_0_79])). 0.16/0.45 thf(c_0_85, negated_conjecture, ![X3:$i]:(((q @ (esk2_1 @ esk5_0))|(q @ esk4_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_48]), c_0_71])])). 0.16/0.45 thf(c_0_86, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk4_0)|~((rel_s5 @ esk5_0 @ X3))|~((q @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_83])). 0.16/0.45 thf(c_0_87, negated_conjecture, ((rel_s5 @ esk1_0 @ (esk2_1 @ esk5_0))|(q @ esk4_0)), inference(spm,[status(thm)],[c_0_84, c_0_48])). 0.16/0.45 thf(c_0_88, negated_conjecture, ((q @ (esk2_1 @ esk5_0))|(q @ esk4_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_48]), c_0_71])])). 0.16/0.45 thf(c_0_89, negated_conjecture, (rel_s5 @ esk1_0 @ esk4_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_74]), c_0_83])). 0.16/0.45 thf(c_0_90, negated_conjecture, ![X3:$i]:(((q @ esk4_0)|~((rel_s5 @ esk5_0 @ X3))|~((q @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_87]), c_0_88])). 0.16/0.45 thf(c_0_91, negated_conjecture, (rel_s5 @ esk4_0 @ esk1_0), inference(spm,[status(thm)],[c_0_33, c_0_89])). 0.16/0.45 thf(c_0_92, negated_conjecture, (q @ esk4_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_79]), c_0_88])). 0.16/0.45 thf(c_0_93, negated_conjecture, (rel_s5 @ esk4_0 @ esk5_0), inference(spm,[status(thm)],[c_0_51, c_0_91])). 0.16/0.45 thf(c_0_94, negated_conjecture, ![X3:$i]:((~((rel_s5 @ esk5_0 @ X3))|~((q @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_89]), c_0_92])])). 0.16/0.45 thf(c_0_95, negated_conjecture, (rel_s5 @ esk5_0 @ esk4_0), inference(spm,[status(thm)],[c_0_33, c_0_93])). 0.16/0.45 thf(c_0_96, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_95]), c_0_92])]), ['proof']). 0.16/0.45 # SZS output end CNFRefutation 0.16/0.45 # Parsed axioms : 74 0.16/0.45 # Removed by relevancy pruning/SinE : 0 0.16/0.45 # Initial clauses : 65 0.16/0.45 # Removed in clause preprocessing : 37 0.16/0.45 # Initial clauses in saturation : 28 0.16/0.45 # Processed clauses : 206 0.16/0.45 # ...of these trivial : 0 0.16/0.45 # ...subsumed : 22 0.16/0.45 # ...remaining for further processing : 184 0.16/0.45 # Other redundant clauses eliminated : 0 0.16/0.45 # Clauses deleted for lack of memory : 0 0.16/0.45 # Backward-subsumed : 34 0.16/0.45 # Backward-rewritten : 85 0.16/0.45 # Generated clauses : 341 0.16/0.45 # ...of the previous two non-redundant : 295 0.16/0.45 # ...aggressively subsumed : 0 0.16/0.45 # Contextual simplify-reflections : 20 0.16/0.45 # Paramodulations : 341 0.16/0.45 # Factorizations : 0 0.16/0.45 # NegExts : 0 0.16/0.45 # Equation resolutions : 0 0.16/0.45 # Propositional unsat checks : 0 0.16/0.45 # Propositional check models : 0 0.16/0.45 # Propositional check unsatisfiable : 0 0.16/0.45 # Propositional clauses : 0 0.16/0.45 # Propositional clauses after purity: 0 0.16/0.45 # Propositional unsat core size : 0 0.16/0.45 # Propositional preprocessing time : 0.000 0.16/0.45 # Propositional encoding time : 0.000 0.16/0.45 # Propositional solver time : 0.000 0.16/0.45 # Success case prop preproc time : 0.000 0.16/0.45 # Success case prop encoding time : 0.000 0.16/0.45 # Success case prop solver time : 0.000 0.16/0.45 # Current number of processed clauses : 37 0.16/0.45 # Positive orientable unit clauses : 15 0.16/0.45 # Positive unorientable unit clauses: 0 0.16/0.45 # Negative unit clauses : 0 0.16/0.45 # Non-unit-clauses : 22 0.16/0.45 # Current number of unprocessed clauses: 13 0.16/0.45 # ...number of literals in the above : 23 0.16/0.45 # Current number of archived formulas : 0 0.16/0.45 # Current number of archived clauses : 147 0.16/0.45 # Clause-clause subsumption calls (NU) : 697 0.16/0.45 # Rec. Clause-clause subsumption calls : 568 0.16/0.45 # Non-unit clause-clause subsumptions : 75 0.16/0.45 # Unit Clause-clause subsumption calls : 13 0.16/0.45 # Rewrite failures with RHS unbound : 0 0.16/0.45 # BW rewrite match attempts : 9 0.16/0.45 # BW rewrite match successes : 6 0.16/0.45 # Condensation attempts : 0 0.16/0.45 # Condensation successes : 0 0.16/0.45 # Termbank termtop insertions : 10423 0.16/0.45 0.16/0.45 # ------------------------------------------------- 0.16/0.45 # User time : 0.019 s 0.16/0.45 # System time : 0.002 s 0.16/0.45 # Total time : 0.021 s 0.16/0.45 # Maximum resident set size: 2020 pages 0.16/0.45 0.16/0.45 # ------------------------------------------------- 0.16/0.45 # User time : 0.084 s 0.16/0.45 # System time : 0.009 s 0.16/0.45 # Total time : 0.093 s 0.16/0.45 # Maximum resident set size: 1796 pages 0.16/0.45 EOF