0.10/0.59 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.68 % Command : run_E %s %d THM 0.11/1.05 % Computer : n010.cluster.edu 0.11/1.05 % Model : x86_64 x86_64 0.11/1.05 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/1.05 % Memory : 8042.1875MB 0.11/1.05 % OS : Linux 3.10.0-693.el7.x86_64 0.11/1.05 % CPULimit : 960 0.11/1.05 % WCLimit : 120 0.11/1.05 % DateTime : Tue Aug 9 04:56:06 EDT 2022 0.16/1.06 % CPUTime : 0.27/1.84 Running higher-order on 8 cores theorem proving 0.27/1.84 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 0.27/1.85 # Version: 3.0pre003-ho 0.27/1.89 # Preprocessing class: HSMSSMSSMLMNHSN. 0.27/1.89 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.27/1.89 # Starting ho_unfolding_3 with 600s (5) cores 0.27/1.89 # Starting ehoh_best2_full_lfho with 120s (1) cores 0.27/1.89 # Starting almost_fo_3_lam with 120s (1) cores 0.27/1.89 # Starting post_as_ho1 with 120s (1) cores 0.27/1.89 # ehoh_best2_full_lfho with pid 6475 completed with status 0 0.27/1.89 # Result found by ehoh_best2_full_lfho 0.27/1.89 # Preprocessing class: HSMSSMSSMLMNHSN. 0.27/1.89 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.27/1.89 # Starting ho_unfolding_3 with 600s (5) cores 0.27/1.89 # Starting ehoh_best2_full_lfho with 120s (1) cores 0.27/1.89 # No SInE strategy applied 0.27/1.89 # Search class: HGHNF-FFMS11-SHSSMFNN 0.27/1.89 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.27/1.89 # Starting new_ho_10 with 65s (1) cores 0.27/1.89 # new_ho_10 with pid 6479 completed with status 0 0.27/1.89 # Result found by new_ho_10 0.27/1.89 # Preprocessing class: HSMSSMSSMLMNHSN. 0.27/1.89 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.27/1.89 # Starting ho_unfolding_3 with 600s (5) cores 0.27/1.89 # Starting ehoh_best2_full_lfho with 120s (1) cores 0.27/1.89 # No SInE strategy applied 0.27/1.89 # Search class: HGHNF-FFMS11-SHSSMFNN 0.27/1.89 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.27/1.89 # Starting new_ho_10 with 65s (1) cores 0.27/1.89 # Preprocessing time : 0.001 s 0.27/1.89 # Presaturation interreduction done 0.27/1.89 0.27/1.89 # Proof found! 0.27/1.89 # SZS status Theorem 0.27/1.89 # SZS output start CNFRefutation 0.27/1.89 thf(decl_22, type, meq_ind: mu > mu > $i > $o). 0.27/1.89 thf(decl_23, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 0.27/1.89 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 0.27/1.89 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.27/1.89 thf(decl_26, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.27/1.89 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.27/1.89 thf(decl_28, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 0.27/1.89 thf(decl_29, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 0.27/1.89 thf(decl_30, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 0.27/1.89 thf(decl_31, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.27/1.89 thf(decl_32, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.27/1.89 thf(decl_33, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.27/1.89 thf(decl_34, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 0.27/1.89 thf(decl_35, type, mtrue: $i > $o). 0.27/1.89 thf(decl_36, type, mfalse: $i > $o). 0.27/1.89 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.27/1.89 thf(decl_38, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.27/1.89 thf(decl_39, type, mreflexive: ($i > $i > $o) > $o). 0.27/1.89 thf(decl_40, type, msymmetric: ($i > $i > $o) > $o). 0.27/1.89 thf(decl_41, type, mserial: ($i > $i > $o) > $o). 0.27/1.89 thf(decl_42, type, mtransitive: ($i > $i > $o) > $o). 0.27/1.89 thf(decl_43, type, meuclidean: ($i > $i > $o) > $o). 0.27/1.89 thf(decl_44, type, mpartially_functional: ($i > $i > $o) > $o). 0.27/1.89 thf(decl_45, type, mfunctional: ($i > $i > $o) > $o). 0.27/1.89 thf(decl_46, type, mweakly_dense: ($i > $i > $o) > $o). 0.27/1.89 thf(decl_47, type, mweakly_connected: ($i > $i > $o) > $o). 0.27/1.89 thf(decl_48, type, mweakly_directed: ($i > $i > $o) > $o). 0.27/1.89 thf(decl_49, type, mvalid: ($i > $o) > $o). 0.27/1.89 thf(decl_50, type, minvalid: ($i > $o) > $o). 0.27/1.89 thf(decl_51, type, msatisfiable: ($i > $o) > $o). 0.27/1.89 thf(decl_52, type, mcountersatisfiable: ($i > $o) > $o). 0.27/1.89 thf(decl_53, type, rel_s5: $i > $i > $o). 0.27/1.89 thf(decl_54, type, mbox_s5: ($i > $o) > $i > $o). 0.27/1.89 thf(decl_55, type, mdia_s5: ($i > $o) > $i > $o). 0.27/1.89 thf(decl_56, type, p: $i > $o). 0.27/1.89 thf(decl_57, type, q: $i > $o). 0.27/1.89 thf(decl_58, type, esk1_0: $i). 0.27/1.89 thf(decl_59, type, esk2_0: $i). 0.27/1.89 thf(decl_60, type, esk3_1: $i > $i). 0.27/1.89 thf(decl_61, type, esk4_0: $i). 0.27/1.89 thf(decl_62, type, esk5_0: $i). 0.27/1.89 thf(mand, axiom, ((mand)=(^[X6:$i > $o, X7:$i > $o]:(mnot @ (mor @ (mnot @ X6) @ (mnot @ X7))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mand)). 0.27/1.89 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mnot)). 0.27/1.89 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)). 0.27/1.89 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mimplies)). 0.27/1.89 thf(mequiv, axiom, ((mequiv)=(^[X6:$i > $o, X7:$i > $o]:(mand @ (mimplies @ X6 @ X7) @ (mimplies @ X7 @ X6)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mequiv)). 0.27/1.89 thf(mdia_s5, axiom, ((mdia_s5)=(^[X6:$i > $o]:(mnot @ (mbox_s5 @ (mnot @ X6))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^6.ax', mdia_s5)). 0.27/1.89 thf(mbox_s5, axiom, ((mbox_s5)=(^[X6:$i > $o, X3:$i]:(![X14:$i]:((~((rel_s5 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^6.ax', mbox_s5)). 0.27/1.89 thf(mtransitive, axiom, ((mtransitive)=(^[X13:$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)). 0.27/1.89 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mvalid)). 0.27/1.89 thf(msymmetric, axiom, ((msymmetric)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i]:(((X13 @ X15 @ X16)=>(X13 @ X16 @ X15)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', msymmetric)). 0.27/1.89 thf(a2, axiom, (mtransitive @ rel_s5), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^6.ax', a2)). 0.27/1.89 thf(prove, conjecture, (mvalid @ (mequiv @ (mand @ (mdia_s5 @ p) @ (mbox_s5 @ q)) @ (mdia_s5 @ (mand @ p @ (mbox_s5 @ q))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove)). 0.27/1.89 thf(a3, axiom, (msymmetric @ rel_s5), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^6.ax', a3)). 0.27/1.89 thf(mreflexive, axiom, ((mreflexive)=(^[X13:$i > $i > $o]:(![X15:$i]:((X13 @ X15 @ X15))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mreflexive)). 0.27/1.89 thf(a1, axiom, (mreflexive @ rel_s5), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^6.ax', a1)). 0.27/1.89 thf(c_0_15, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(fof_simplification,[status(thm)],[mand])). 0.27/1.89 thf(c_0_16, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.27/1.89 thf(c_0_17, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.27/1.89 thf(c_0_18, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.27/1.89 thf(c_0_19, plain, ((mequiv)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((((~((Z0 @ Z2)))|(Z1 @ Z2)))))|(~((((~((Z1 @ Z2)))|(Z0 @ Z2))))))))))), inference(fof_simplification,[status(thm)],[mequiv])). 0.27/1.89 thf(c_0_20, 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_15, c_0_16]), c_0_17])). 0.27/1.89 thf(c_0_21, 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_18, c_0_16]), c_0_17])). 0.27/1.89 thf(c_0_22, plain, ((mdia_s5)=(^[Z0:$i > $o, Z1:$i]:(~((![X21:$i]:((~((rel_s5 @ Z1 @ X21))|(~((Z0 @ X21)))))))))), inference(fof_simplification,[status(thm)],[mdia_s5])). 0.27/1.89 thf(c_0_23, plain, ((mbox_s5)=(^[Z0:$i > $o, Z1:$i]:(![X14:$i]:((~((rel_s5 @ Z1 @ X14))|(Z0 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox_s5])). 0.27/1.89 thf(c_0_24, plain, ((mtransitive)=(^[Z0:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((Z0 @ X15 @ X16)&(Z0 @ X16 @ X17))=>(Z0 @ X15 @ X17)))))), inference(fof_simplification,[status(thm)],[mtransitive])). 0.27/1.89 thf(c_0_25, 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_19, c_0_20]), c_0_21])). 0.27/1.89 thf(c_0_26, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.27/1.89 thf(c_0_27, plain, ((mdia_s5)=(^[Z0:$i > $o, Z1:$i]:(~((![X21:$i]:((~((rel_s5 @ Z1 @ X21))|(~((Z0 @ X21)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_22, c_0_16]), c_0_23])). 0.27/1.89 thf(c_0_28, plain, ((msymmetric)=(^[Z0:$i > $i > $o]:(![X15:$i, X16:$i]:(((Z0 @ X15 @ X16)=>(Z0 @ X16 @ X15)))))), inference(fof_simplification,[status(thm)],[msymmetric])). 0.27/1.89 thf(c_0_29, plain, ![X25:$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_24])). 0.27/1.89 thf(c_0_30, negated_conjecture, ~(![X32:$i]:(~((~((~(~((~(~(![X28:$i]:((~(rel_s5 @ X32 @ X28)|~(p @ X28)))))|~(![X29:$i]:((~(rel_s5 @ X32 @ X29)|(q @ X29)))))))|~(![X31:$i]:((~(rel_s5 @ X32 @ X31)|~(~((~(p @ X31)|~(![X30:$i]:((~(rel_s5 @ X31 @ X30)|(q @ X30))))))))))))|~((~(~(![X31:$i]:((~(rel_s5 @ X32 @ X31)|~(~((~(p @ X31)|~(![X30:$i]:((~(rel_s5 @ X31 @ X30)|(q @ X30)))))))))))|~((~(~(![X28:$i]:((~(rel_s5 @ X32 @ X28)|~(p @ X28)))))|~(![X29:$i]:((~(rel_s5 @ X32 @ X29)|(q @ X29)))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[prove]), c_0_20]), c_0_25]), c_0_26]), c_0_23]), c_0_27])])). 0.27/1.89 thf(c_0_31, plain, ![X22:$i, X23:$i]:(((rel_s5 @ X22 @ X23)=>(rel_s5 @ X23 @ X22))), inference(apply_def,[status(thm)],[a3, c_0_28])). 0.27/1.89 thf(c_0_32, plain, ![X36:$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])])). 0.27/1.89 thf(c_0_33, negated_conjecture, ![X41:$i, X42:$i, X45:$i, X46:$i]:((((((((rel_s5 @ esk1_0 @ esk4_0)|(rel_s5 @ esk1_0 @ esk2_0))&(((p @ esk4_0)|(rel_s5 @ esk1_0 @ esk2_0))&(~(rel_s5 @ esk4_0 @ X45)|(q @ X45)|(rel_s5 @ esk1_0 @ esk2_0))))&(((rel_s5 @ esk1_0 @ esk5_0)|(~(rel_s5 @ esk1_0 @ X46)|~(p @ X46))|(rel_s5 @ esk1_0 @ esk2_0))&(~(q @ esk5_0)|(~(rel_s5 @ esk1_0 @ X46)|~(p @ X46))|(rel_s5 @ esk1_0 @ esk2_0))))&((((rel_s5 @ esk1_0 @ esk4_0)|(p @ esk2_0))&(((p @ esk4_0)|(p @ esk2_0))&(~(rel_s5 @ esk4_0 @ X45)|(q @ X45)|(p @ esk2_0))))&(((rel_s5 @ esk1_0 @ esk5_0)|(~(rel_s5 @ esk1_0 @ X46)|~(p @ X46))|(p @ esk2_0))&(~(q @ esk5_0)|(~(rel_s5 @ esk1_0 @ X46)|~(p @ X46))|(p @ esk2_0)))))&((((rel_s5 @ esk1_0 @ esk4_0)|(~(rel_s5 @ esk1_0 @ X41)|(q @ X41)))&(((p @ esk4_0)|(~(rel_s5 @ esk1_0 @ X41)|(q @ X41)))&(~(rel_s5 @ esk4_0 @ X45)|(q @ X45)|(~(rel_s5 @ esk1_0 @ X41)|(q @ X41)))))&(((rel_s5 @ esk1_0 @ esk5_0)|(~(rel_s5 @ esk1_0 @ X46)|~(p @ X46))|(~(rel_s5 @ esk1_0 @ X41)|(q @ X41)))&(~(q @ esk5_0)|(~(rel_s5 @ esk1_0 @ X46)|~(p @ X46))|(~(rel_s5 @ esk1_0 @ X41)|(q @ X41))))))&(((((rel_s5 @ esk1_0 @ esk4_0)|((rel_s5 @ X42 @ (esk3_1 @ X42))|~(p @ X42)|~(rel_s5 @ esk1_0 @ X42)))&(((p @ esk4_0)|((rel_s5 @ X42 @ (esk3_1 @ X42))|~(p @ X42)|~(rel_s5 @ esk1_0 @ X42)))&(~(rel_s5 @ esk4_0 @ X45)|(q @ X45)|((rel_s5 @ X42 @ (esk3_1 @ X42))|~(p @ X42)|~(rel_s5 @ esk1_0 @ X42)))))&(((rel_s5 @ esk1_0 @ esk5_0)|(~(rel_s5 @ esk1_0 @ X46)|~(p @ X46))|((rel_s5 @ X42 @ (esk3_1 @ X42))|~(p @ X42)|~(rel_s5 @ esk1_0 @ X42)))&(~(q @ esk5_0)|(~(rel_s5 @ esk1_0 @ X46)|~(p @ X46))|((rel_s5 @ X42 @ (esk3_1 @ X42))|~(p @ X42)|~(rel_s5 @ esk1_0 @ X42)))))&((((rel_s5 @ esk1_0 @ esk4_0)|(~(q @ (esk3_1 @ X42))|~(p @ X42)|~(rel_s5 @ esk1_0 @ X42)))&(((p @ esk4_0)|(~(q @ (esk3_1 @ X42))|~(p @ X42)|~(rel_s5 @ esk1_0 @ X42)))&(~(rel_s5 @ esk4_0 @ X45)|(q @ X45)|(~(q @ (esk3_1 @ X42))|~(p @ X42)|~(rel_s5 @ esk1_0 @ X42)))))&(((rel_s5 @ esk1_0 @ esk5_0)|(~(rel_s5 @ esk1_0 @ X46)|~(p @ X46))|(~(q @ (esk3_1 @ X42))|~(p @ X42)|~(rel_s5 @ esk1_0 @ X42)))&(~(q @ esk5_0)|(~(rel_s5 @ esk1_0 @ X46)|~(p @ X46))|(~(q @ (esk3_1 @ X42))|~(p @ X42)|~(rel_s5 @ esk1_0 @ X42)))))))), 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_30])])])])])). 0.27/1.89 thf(c_0_34, 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_31])])). 0.27/1.89 thf(c_0_35, plain, ![X14:$i, X3:$i, X15:$i]:(((rel_s5 @ X3 @ X15)|~((rel_s5 @ X3 @ X14))|~((rel_s5 @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.27/1.89 thf(c_0_36, negated_conjecture, ((rel_s5 @ esk1_0 @ esk4_0)|(p @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_37, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|(p @ esk2_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_38, negated_conjecture, ((p @ esk4_0)|(p @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_39, plain, ![X3:$i, X14:$i]:(((rel_s5 @ X14 @ X3)|~((rel_s5 @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_34])). 0.27/1.89 thf(c_0_40, negated_conjecture, ![X3:$i]:(((rel_s5 @ X3 @ esk4_0)|(p @ esk2_0)|~((rel_s5 @ X3 @ esk1_0)))), inference(spm,[status(thm)],[c_0_35, c_0_36])). 0.27/1.89 thf(c_0_41, negated_conjecture, ((rel_s5 @ esk1_0 @ esk5_0)|(p @ esk2_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_36]), c_0_38])). 0.27/1.89 thf(c_0_42, plain, ((mreflexive)=(^[Z0:$i > $i > $o]:(![X15:$i]:((Z0 @ X15 @ X15))))), inference(fof_simplification,[status(thm)],[mreflexive])). 0.27/1.89 thf(c_0_43, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk4_0)|(rel_s5 @ X3 @ (esk3_1 @ X3))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_44, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk4_0 @ X3)|(p @ esk2_0)|~((rel_s5 @ X3 @ esk1_0)))), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.27/1.89 thf(c_0_45, negated_conjecture, ((rel_s5 @ esk5_0 @ esk1_0)|(p @ esk2_0)), inference(spm,[status(thm)],[c_0_39, c_0_41])). 0.27/1.89 thf(c_0_46, negated_conjecture, ![X3:$i]:(((p @ esk2_0)|~((q @ esk5_0))|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_47, negated_conjecture, ![X3:$i, X14:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|(rel_s5 @ X14 @ (esk3_1 @ X14))|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((p @ X14))|~((rel_s5 @ esk1_0 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_48, negated_conjecture, ![X3:$i]:(((p @ esk4_0)|(rel_s5 @ X3 @ (esk3_1 @ X3))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_49, plain, ![X24:$i]:((rel_s5 @ X24 @ X24)), inference(apply_def,[status(thm)],[a1, c_0_42])). 0.27/1.89 thf(c_0_50, negated_conjecture, ![X3:$i, X14:$i]:(((rel_s5 @ X14 @ (esk3_1 @ X14))|~((q @ esk5_0))|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((p @ X14))|~((rel_s5 @ esk1_0 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_51, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk4_0)|(q @ X3)|~((rel_s5 @ esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_52, negated_conjecture, ![X3:$i, X14:$i]:(((rel_s5 @ esk1_0 @ esk4_0)|(rel_s5 @ X3 @ (esk3_1 @ X14))|~((rel_s5 @ esk1_0 @ X14))|~((rel_s5 @ X3 @ X14))|~((p @ X14)))), inference(spm,[status(thm)],[c_0_35, c_0_43])). 0.27/1.89 thf(c_0_53, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk4_0)|~((q @ (esk3_1 @ X3)))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_54, negated_conjecture, ![X3:$i]:(((q @ X3)|(p @ esk2_0)|~((rel_s5 @ esk4_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_55, negated_conjecture, ((rel_s5 @ esk4_0 @ esk5_0)|(p @ esk2_0)), inference(spm,[status(thm)],[c_0_44, c_0_45])). 0.27/1.89 thf(c_0_56, negated_conjecture, ((p @ esk2_0)|~((q @ esk5_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_36]), c_0_38])). 0.27/1.89 thf(c_0_57, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|(rel_s5 @ X3 @ (esk3_1 @ X3))|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(condense,[status(thm)],[c_0_47])). 0.27/1.89 thf(c_0_58, negated_conjecture, ![X3:$i, X14:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((q @ (esk3_1 @ X14)))|~((p @ X14))|~((rel_s5 @ esk1_0 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_59, negated_conjecture, ![X3:$i]:(((p @ esk4_0)|(q @ X3)|~((rel_s5 @ esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_60, negated_conjecture, ![X3:$i, X14:$i]:(((rel_s5 @ X3 @ (esk3_1 @ X14))|(p @ esk4_0)|~((rel_s5 @ esk1_0 @ X14))|~((rel_s5 @ X3 @ X14))|~((p @ X14)))), inference(spm,[status(thm)],[c_0_35, c_0_48])). 0.27/1.89 thf(c_0_61, negated_conjecture, ![X3:$i]:(((p @ esk4_0)|~((q @ (esk3_1 @ X3)))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_62, negated_conjecture, ((p @ esk4_0)|(rel_s5 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_63, plain, ![X35:$i]:((rel_s5 @ X35 @ X35)), inference(variable_rename,[status(thm)],[c_0_49])). 0.27/1.89 thf(c_0_64, negated_conjecture, ![X3:$i]:(((rel_s5 @ X3 @ (esk3_1 @ X3))|~((rel_s5 @ esk1_0 @ X3))|~((q @ esk5_0))|~((p @ X3)))), inference(condense,[status(thm)],[c_0_50])). 0.27/1.89 thf(c_0_65, negated_conjecture, ![X3:$i, X14:$i]:((~((q @ esk5_0))|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((q @ (esk3_1 @ X14)))|~((p @ X14))|~((rel_s5 @ esk1_0 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_66, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk4_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_53])). 0.27/1.89 thf(c_0_67, negated_conjecture, ((rel_s5 @ esk1_0 @ esk4_0)|(rel_s5 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_68, negated_conjecture, (p @ esk2_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56])). 0.27/1.89 thf(c_0_69, negated_conjecture, ![X3:$i, X14:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|(q @ X14)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_70, negated_conjecture, ![X3:$i, X14:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|(rel_s5 @ X3 @ (esk3_1 @ X14))|~((rel_s5 @ esk1_0 @ X14))|~((rel_s5 @ X3 @ X14))|~((p @ X14)))), inference(spm,[status(thm)],[c_0_35, c_0_57])). 0.27/1.89 thf(c_0_71, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|~((q @ (esk3_1 @ X3)))|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(condense,[status(thm)],[c_0_58])). 0.27/1.89 thf(c_0_72, negated_conjecture, ![X3:$i]:(((p @ esk4_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61])). 0.27/1.89 thf(c_0_73, negated_conjecture, ![X3:$i]:(((rel_s5 @ X3 @ esk2_0)|(p @ esk4_0)|~((rel_s5 @ X3 @ esk1_0)))), inference(spm,[status(thm)],[c_0_35, c_0_62])). 0.27/1.89 thf(c_0_74, plain, ![X3:$i]:((rel_s5 @ X3 @ X3)), inference(split_conjunct,[status(thm)],[c_0_63])). 0.27/1.89 thf(c_0_75, negated_conjecture, ![X3:$i, X14:$i]:(((q @ X14)|~((q @ esk5_0))|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3))|~((rel_s5 @ esk1_0 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_76, negated_conjecture, ![X3:$i, X14:$i]:(((rel_s5 @ X3 @ (esk3_1 @ X14))|~((rel_s5 @ esk1_0 @ X14))|~((rel_s5 @ X3 @ X14))|~((q @ esk5_0))|~((p @ X14)))), inference(spm,[status(thm)],[c_0_35, c_0_64])). 0.27/1.89 thf(c_0_77, negated_conjecture, ![X3:$i]:((~((q @ (esk3_1 @ X3)))|~((rel_s5 @ esk1_0 @ X3))|~((q @ esk5_0))|~((p @ X3)))), inference(condense,[status(thm)],[c_0_65])). 0.27/1.89 thf(c_0_78, negated_conjecture, (rel_s5 @ esk1_0 @ esk4_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_67]), c_0_68])])). 0.27/1.89 thf(c_0_79, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk1_0 @ esk5_0)|~((rel_s5 @ esk1_0 @ X3))|~((p @ X3)))), inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_70])]), c_0_71])). 0.27/1.89 thf(c_0_80, negated_conjecture, (p @ esk4_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_68]), c_0_74])])). 0.27/1.89 thf(c_0_81, negated_conjecture, ![X3:$i]:((~((rel_s5 @ esk1_0 @ X3))|~((q @ esk5_0))|~((p @ X3)))), inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76])]), c_0_77])). 0.27/1.89 thf(c_0_82, negated_conjecture, ![X3:$i]:(((rel_s5 @ X3 @ esk4_0)|~((rel_s5 @ X3 @ esk1_0)))), inference(spm,[status(thm)],[c_0_35, c_0_78])). 0.27/1.89 thf(c_0_83, negated_conjecture, (rel_s5 @ esk1_0 @ esk5_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_78]), c_0_80])])). 0.27/1.89 thf(c_0_84, negated_conjecture, ![X3:$i, X14:$i]:(((q @ X3)|(q @ X14)|~((rel_s5 @ esk4_0 @ X3))|~((rel_s5 @ esk1_0 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_33])). 0.27/1.89 thf(c_0_85, negated_conjecture, ~((q @ esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_78]), c_0_80])])). 0.27/1.89 thf(c_0_86, negated_conjecture, ![X3:$i]:(((rel_s5 @ esk4_0 @ X3)|~((rel_s5 @ X3 @ esk1_0)))), inference(spm,[status(thm)],[c_0_39, c_0_82])). 0.27/1.89 thf(c_0_87, negated_conjecture, (rel_s5 @ esk5_0 @ esk1_0), inference(spm,[status(thm)],[c_0_39, c_0_83])). 0.27/1.89 thf(c_0_88, negated_conjecture, ![X3:$i]:(((q @ X3)|~((rel_s5 @ esk4_0 @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_83]), c_0_85])). 0.27/1.89 thf(c_0_89, negated_conjecture, (rel_s5 @ esk4_0 @ esk5_0), inference(spm,[status(thm)],[c_0_86, c_0_87])). 0.27/1.89 thf(c_0_90, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_89]), c_0_85]), ['proof']). 0.27/1.89 # SZS output end CNFRefutation 0.27/1.89 # Parsed axioms : 74 0.27/1.89 # Removed by relevancy pruning/SinE : 0 0.27/1.89 # Initial clauses : 65 0.27/1.89 # Removed in clause preprocessing : 37 0.27/1.89 # Initial clauses in saturation : 28 0.27/1.89 # Processed clauses : 368 0.27/1.89 # ...of these trivial : 7 0.27/1.89 # ...subsumed : 171 0.27/1.89 # ...remaining for further processing : 190 0.27/1.89 # Other redundant clauses eliminated : 0 0.27/1.89 # Clauses deleted for lack of memory : 0 0.27/1.89 # Backward-subsumed : 92 0.27/1.89 # Backward-rewritten : 41 0.27/1.89 # Generated clauses : 1061 0.27/1.89 # ...of the previous two non-redundant : 866 0.27/1.89 # ...aggressively subsumed : 0 0.27/1.89 # Contextual simplify-reflections : 13 0.27/1.89 # Paramodulations : 1061 0.27/1.89 # Factorizations : 0 0.27/1.89 # NegExts : 0 0.27/1.89 # Equation resolutions : 0 0.27/1.89 # Propositional unsat checks : 0 0.27/1.89 # Propositional check models : 0 0.27/1.89 # Propositional check unsatisfiable : 0 0.27/1.89 # Propositional clauses : 0 0.27/1.89 # Propositional clauses after purity: 0 0.27/1.89 # Propositional unsat core size : 0 0.27/1.89 # Propositional preprocessing time : 0.000 0.27/1.89 # Propositional encoding time : 0.000 0.27/1.89 # Propositional solver time : 0.000 0.27/1.89 # Success case prop preproc time : 0.000 0.27/1.89 # Success case prop encoding time : 0.000 0.27/1.89 # Success case prop solver time : 0.000 0.27/1.89 # Current number of processed clauses : 29 0.27/1.89 # Positive orientable unit clauses : 15 0.27/1.89 # Positive unorientable unit clauses: 0 0.27/1.89 # Negative unit clauses : 1 0.27/1.89 # Non-unit-clauses : 13 0.27/1.89 # Current number of unprocessed clauses: 79 0.27/1.89 # ...number of literals in the above : 294 0.27/1.89 # Current number of archived formulas : 0 0.27/1.89 # Current number of archived clauses : 161 0.27/1.89 # Clause-clause subsumption calls (NU) : 1829 0.27/1.89 # Rec. Clause-clause subsumption calls : 981 0.27/1.89 # Non-unit clause-clause subsumptions : 256 0.27/1.89 # Unit Clause-clause subsumption calls : 68 0.27/1.89 # Rewrite failures with RHS unbound : 0 0.27/1.89 # BW rewrite match attempts : 20 0.27/1.89 # BW rewrite match successes : 14 0.27/1.89 # Condensation attempts : 368 0.27/1.89 # Condensation successes : 6 0.27/1.89 # Termbank termtop insertions : 18028 0.27/1.89 0.27/1.89 # ------------------------------------------------- 0.27/1.89 # User time : 0.031 s 0.27/1.89 # System time : 0.001 s 0.27/1.89 # Total time : 0.032 s 0.27/1.89 # Maximum resident set size: 2072 pages 0.27/1.89 0.27/1.89 # ------------------------------------------------- 0.27/1.89 # User time : 0.032 s 0.27/1.89 # System time : 0.004 s 0.27/1.89 # Total time : 0.036 s 0.27/1.89 # Maximum resident set size: 1800 pages 0.27/1.90 EOF