0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_E %s %d THM 0.13/0.32 % Computer : n016.cluster.edu 0.13/0.32 % Model : x86_64 x86_64 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.32 % Memory : 8042.1875MB 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.32 % CPULimit : 960 0.13/0.32 % WCLimit : 120 0.13/0.32 % DateTime : Tue Aug 9 05:11:57 EDT 2022 0.13/0.32 % CPUTime : 0.18/0.44 Running higher-order on 8 cores theorem proving 0.18/0.44 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 0.18/0.44 # Version: 3.0pre003-ho 0.18/0.48 # Preprocessing class: HSMSSMSSMLSNHSN. 0.18/0.48 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.18/0.48 # Starting new_ho_10_cnf2 with 600s (5) cores 0.18/0.48 # Starting post_as_ho3 with 120s (1) cores 0.18/0.48 # Starting post_as_ho11 with 120s (1) cores 0.18/0.48 # Starting full_lambda_8 with 120s (1) cores 0.18/0.48 # new_ho_10_cnf2 with pid 32259 completed with status 0 0.18/0.48 # Result found by new_ho_10_cnf2 0.18/0.48 # Preprocessing class: HSMSSMSSMLSNHSN. 0.18/0.48 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.18/0.48 # Starting new_ho_10_cnf2 with 600s (5) cores 0.18/0.48 # No SInE strategy applied 0.18/0.48 # Search class: HGHNF-FFSF22-SHSSMFNN 0.18/0.48 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 0.18/0.48 # Starting new_ho_10 with 325s (1) cores 0.18/0.48 # Starting new_ho_10_cnf2 with 61s (1) cores 0.18/0.48 # Starting ehoh_best_sine_rwall with 55s (1) cores 0.18/0.48 # Starting lpo1_def_fix with 55s (1) cores 0.18/0.48 # Starting ehoh_best8_lambda with 55s (1) cores 0.18/0.48 # ehoh_best_sine_rwall with pid 32268 completed with status 0 0.18/0.48 # Result found by ehoh_best_sine_rwall 0.18/0.48 # Preprocessing class: HSMSSMSSMLSNHSN. 0.18/0.48 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.18/0.48 # Starting new_ho_10_cnf2 with 600s (5) cores 0.18/0.48 # No SInE strategy applied 0.18/0.48 # Search class: HGHNF-FFSF22-SHSSMFNN 0.18/0.48 # Scheduled 6 strats onto 5 cores with 600 seconds (600 total) 0.18/0.48 # Starting new_ho_10 with 325s (1) cores 0.18/0.48 # Starting new_ho_10_cnf2 with 61s (1) cores 0.18/0.48 # Starting ehoh_best_sine_rwall with 55s (1) cores 0.18/0.48 # Preprocessing time : 0.002 s 0.18/0.48 # Presaturation interreduction done 0.18/0.48 0.18/0.48 # Proof found! 0.18/0.48 # SZS status Theorem 0.18/0.48 # SZS output start CNFRefutation 0.18/0.48 thf(decl_22, type, irel: $i > $i > $o). 0.18/0.48 thf(decl_23, type, mnot: ($i > $o) > $i > $o). 0.18/0.48 thf(decl_24, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.48 thf(decl_25, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.48 thf(decl_26, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.48 thf(decl_27, type, mbox_s4: ($i > $o) > $i > $o). 0.18/0.48 thf(decl_28, type, iatom: ($i > $o) > $i > $o). 0.18/0.48 thf(decl_29, type, inot: ($i > $o) > $i > $o). 0.18/0.48 thf(decl_30, type, itrue: $i > $o). 0.18/0.48 thf(decl_31, type, ifalse: $i > $o). 0.18/0.48 thf(decl_32, type, iand: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.48 thf(decl_33, type, ior: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.48 thf(decl_34, type, iimplies: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.48 thf(decl_35, type, iimplied: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.48 thf(decl_36, type, iequiv: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.48 thf(decl_37, type, ixor: ($i > $o) > ($i > $o) > $i > $o). 0.18/0.48 thf(decl_38, type, ivalid: ($i > $o) > $o). 0.18/0.48 thf(decl_39, type, isatisfiable: ($i > $o) > $o). 0.18/0.48 thf(decl_40, type, icountersatisfiable: ($i > $o) > $o). 0.18/0.48 thf(decl_41, type, iinvalid: ($i > $o) > $o). 0.18/0.48 thf(decl_42, type, p1: $i > $o). 0.18/0.48 thf(decl_43, type, p2: $i > $o). 0.18/0.48 thf(decl_44, type, epred1_1: $i > $o). 0.18/0.48 thf(decl_45, type, esk1_0: $i). 0.18/0.48 thf(decl_46, type, esk2_0: $i). 0.18/0.48 thf(decl_47, type, esk3_2: $i > $i > $i). 0.18/0.48 thf(decl_48, type, esk4_2: $i > $i > $i). 0.18/0.48 thf(decl_49, type, esk5_2: $i > $i > $i). 0.18/0.48 thf(decl_50, type, esk6_2: $i > $i > $i). 0.18/0.48 thf(mimplies, axiom, ((mimplies)=(^[X4:$i > $o, X5:$i > $o]:(mor @ (mnot @ X4) @ X5))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax', mimplies)). 0.18/0.48 thf(mnot, axiom, ((mnot)=(^[X1:$i > $o, X2:$i]:(~((X1 @ X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax', mnot)). 0.18/0.48 thf(mor, axiom, ((mor)=(^[X1:$i > $o, X3:$i > $o, X2:$i]:(((X1 @ X2)|(X3 @ X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax', mor)). 0.18/0.48 thf(inot, axiom, ((inot)=(^[X6:$i > $o]:(mnot @ (mbox_s4 @ X6)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax', inot)). 0.18/0.48 thf(mbox_s4, axiom, ((mbox_s4)=(^[X6:$i > $o, X7:$i]:(![X8:$i]:(((irel @ X7 @ X8)=>(X6 @ X8)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax', mbox_s4)). 0.18/0.48 thf(iand, axiom, ((iand)=(^[X6:$i > $o, X10:$i > $o]:(mand @ X6 @ X10))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax', iand)). 0.18/0.48 thf(mand, axiom, ((mand)=(^[X1:$i > $o, X3:$i > $o, X2:$i]:(((X1 @ X2)&(X3 @ X2))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax', mand)). 0.18/0.48 thf(ior, axiom, ((ior)=(^[X6:$i > $o, X10:$i > $o]:(mor @ (mbox_s4 @ X6) @ (mbox_s4 @ X10)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax', ior)). 0.18/0.48 thf(iimplies, axiom, ((iimplies)=(^[X6:$i > $o, X10:$i > $o]:(mimplies @ (mbox_s4 @ X6) @ (mbox_s4 @ X10)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax', iimplies)). 0.18/0.48 thf(iatom, axiom, ((iatom)=(^[X6:$i > $o]:(X6))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax', iatom)). 0.18/0.48 thf(ivalid, axiom, ((ivalid)=(^[X11:$i > $o]:(![X9:$i]:((X11 @ X9))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax', ivalid)). 0.18/0.48 thf(pel9, conjecture, (ivalid @ (iimplies @ (iand @ (ior @ (iatom @ p1) @ (iatom @ p2)) @ (iand @ (ior @ (inot @ (iatom @ p1)) @ (iatom @ p2)) @ (ior @ (iatom @ p1) @ (inot @ (iatom @ p2))))) @ (inot @ (ior @ (inot @ (iatom @ p1)) @ (inot @ (iatom @ p2)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', pel9)). 0.18/0.48 thf(refl_axiom, axiom, ![X15:$i]:((irel @ X15 @ X15)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax', refl_axiom)). 0.18/0.48 thf(trans_axiom, axiom, ![X12:$i, X13:$i, X14:$i]:((((irel @ X13 @ X14)&(irel @ X12 @ X13))=>(irel @ X12 @ X14))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL010^0.ax', trans_axiom)). 0.18/0.48 thf(c_0_14, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.18/0.48 thf(c_0_15, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.18/0.48 thf(c_0_16, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.18/0.48 thf(c_0_17, plain, ((inot)=(^[Z0:$i > $o, Z1:$i]:(~((![X20:$i]:(((irel @ Z1 @ X20)=>(Z0 @ X20)))))))), inference(fof_simplification,[status(thm)],[inot])). 0.18/0.48 thf(c_0_18, plain, ((mbox_s4)=(^[Z0:$i > $o, Z1:$i]:(![X8:$i]:(((irel @ Z1 @ X8)=>(Z0 @ X8)))))), inference(fof_simplification,[status(thm)],[mbox_s4])). 0.18/0.48 thf(c_0_19, plain, ((iand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)&(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[iand])). 0.18/0.48 thf(c_0_20, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)&(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mand])). 0.18/0.48 thf(c_0_21, plain, ((ior)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((![X22:$i]:(((irel @ Z2 @ X22)=>(Z0 @ X22))))|(![X23:$i]:(((irel @ Z2 @ X23)=>(Z1 @ X23)))))))), inference(fof_simplification,[status(thm)],[ior])). 0.18/0.48 thf(c_0_22, plain, ((iimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((![X24:$i]:(((irel @ Z2 @ X24)=>(Z0 @ X24))))))|(![X25:$i]:(((irel @ Z2 @ X25)=>(Z1 @ X25)))))))), inference(fof_simplification,[status(thm)],[iimplies])). 0.18/0.48 thf(c_0_23, 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_14, c_0_15]), c_0_16])). 0.18/0.48 thf(c_0_24, plain, ((iatom)=(^[Z0:$i > $o]:(Z0))), inference(fof_simplification,[status(thm)],[iatom])). 0.18/0.48 thf(c_0_25, plain, ((inot)=(^[Z0:$i > $o, Z1:$i]:(~((![X20:$i]:(((irel @ Z1 @ X20)=>(Z0 @ X20)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17, c_0_15]), c_0_18])). 0.18/0.48 thf(c_0_26, plain, ((iand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)&(Z1 @ Z2))))), inference(apply_def,[status(thm)],[c_0_19, c_0_20])). 0.18/0.48 thf(c_0_27, plain, ((ior)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((![X22:$i]:(((irel @ Z2 @ X22)=>(Z0 @ X22))))|(![X23:$i]:(((irel @ Z2 @ X23)=>(Z1 @ X23)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21, c_0_16]), c_0_18])). 0.18/0.48 thf(c_0_28, plain, ((iimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((![X24:$i]:(((irel @ Z2 @ X24)=>(Z0 @ X24))))))|(![X25:$i]:(((irel @ Z2 @ X25)=>(Z1 @ X25)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_22, c_0_23]), c_0_18])). 0.18/0.48 thf(c_0_29, plain, ((ivalid)=(^[Z0:$i > $o]:(![X9:$i]:((Z0 @ X9))))), inference(fof_simplification,[status(thm)],[ivalid])). 0.18/0.48 thf(c_0_30, plain, ![X50:$i]:(((epred1_1 @ X50)<=>((![X37:$i]:(((irel @ X50 @ X37)=>(p1 @ X37)))|![X38:$i]:(((irel @ X50 @ X38)=>(p2 @ X38))))&((![X40:$i]:(((irel @ X50 @ X40)=>~(![X39:$i]:(((irel @ X40 @ X39)=>(p1 @ X39))))))|![X41:$i]:(((irel @ X50 @ X41)=>(p2 @ X41))))&(![X43:$i]:(((irel @ X50 @ X43)=>(p1 @ X43)))|![X44:$i]:(((irel @ X50 @ X44)=>~(![X42:$i]:(((irel @ X44 @ X42)=>(p2 @ X42))))))))))), introduced(definition)). 0.18/0.48 thf(c_0_31, negated_conjecture, ~(![X52:$i]:((~(![X50:$i]:(((irel @ X52 @ X50)=>(epred1_1 @ X50))))|![X51:$i]:(((irel @ X52 @ X51)=>~(![X49:$i]:(((irel @ X51 @ X49)=>(![X47:$i]:(((irel @ X49 @ X47)=>~(![X45:$i]:(((irel @ X47 @ X45)=>(p1 @ X45))))))|![X48:$i]:(((irel @ X49 @ X48)=>~(![X46:$i]:(((irel @ X48 @ X46)=>(p2 @ X46))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[pel9]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28]), c_0_29]), c_0_30])). 0.18/0.48 thf(c_0_32, negated_conjecture, ![X58:$i, X60:$i, X61:$i, X63:$i]:(((~(irel @ esk1_0 @ X58)|(epred1_1 @ X58))&((irel @ esk1_0 @ esk2_0)&((((irel @ X63 @ (esk4_2 @ X60 @ X63))|~(irel @ X60 @ X63)|((irel @ X61 @ (esk3_2 @ X60 @ X61))|~(irel @ X60 @ X61))|~(irel @ esk2_0 @ X60))&(~(p2 @ (esk4_2 @ X60 @ X63))|~(irel @ X60 @ X63)|((irel @ X61 @ (esk3_2 @ X60 @ X61))|~(irel @ X60 @ X61))|~(irel @ esk2_0 @ X60)))&(((irel @ X63 @ (esk4_2 @ X60 @ X63))|~(irel @ X60 @ X63)|(~(p1 @ (esk3_2 @ X60 @ X61))|~(irel @ X60 @ X61))|~(irel @ esk2_0 @ X60))&(~(p2 @ (esk4_2 @ X60 @ X63))|~(irel @ X60 @ X63)|(~(p1 @ (esk3_2 @ X60 @ X61))|~(irel @ X60 @ X61))|~(irel @ esk2_0 @ X60))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])])). 0.18/0.48 thf(c_0_33, plain, ![X56:$i]:((irel @ X56 @ X56)), inference(variable_rename,[status(thm)],[refl_axiom])). 0.18/0.48 thf(c_0_34, plain, ![X53:$i, X54:$i, X55:$i]:((~(irel @ X54 @ X55)|~(irel @ X53 @ X54)|(irel @ X53 @ X55))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[trans_axiom])])). 0.18/0.48 thf(c_0_35, negated_conjecture, ![X2:$i, X8:$i, X7:$i]:(((irel @ X2 @ (esk4_2 @ X7 @ X2))|(irel @ X8 @ (esk3_2 @ X7 @ X8))|~((irel @ X7 @ X2))|~((irel @ X7 @ X8))|~((irel @ esk2_0 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.18/0.48 thf(c_0_36, plain, ![X2:$i]:((irel @ X2 @ X2)), inference(split_conjunct,[status(thm)],[c_0_33])). 0.18/0.48 thf(c_0_37, plain, ![X8:$i, X7:$i, X2:$i]:(((irel @ X8 @ X7)|~((irel @ X2 @ X7))|~((irel @ X8 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_34])). 0.18/0.48 thf(c_0_38, negated_conjecture, (irel @ esk1_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_32])). 0.18/0.48 thf(c_0_39, negated_conjecture, ![X7:$i, X2:$i]:(((irel @ X2 @ (esk4_2 @ esk2_0 @ X2))|(irel @ X7 @ (esk3_2 @ esk2_0 @ X7))|~((irel @ esk2_0 @ X7))|~((irel @ esk2_0 @ X2)))), inference(spm,[status(thm)],[c_0_35, c_0_36])). 0.18/0.48 thf(c_0_40, plain, ![X50:$i]:(((epred1_1 @ X50)=>((![X37:$i]:(((irel @ X50 @ X37)=>(p1 @ X37)))|![X38:$i]:(((irel @ X50 @ X38)=>(p2 @ X38))))&((![X40:$i]:(((irel @ X50 @ X40)=>~(![X39:$i]:(((irel @ X40 @ X39)=>(p1 @ X39))))))|![X41:$i]:(((irel @ X50 @ X41)=>(p2 @ X41))))&(![X43:$i]:(((irel @ X50 @ X43)=>(p1 @ X43)))|![X44:$i]:(((irel @ X50 @ X44)=>~(![X42:$i]:(((irel @ X44 @ X42)=>(p2 @ X42))))))))))), inference(split_equiv,[status(thm)],[c_0_30])). 0.18/0.48 thf(c_0_41, negated_conjecture, ![X2:$i]:(((irel @ esk1_0 @ X2)|~((irel @ esk2_0 @ X2)))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 0.18/0.48 thf(c_0_42, negated_conjecture, ![X2:$i]:(((irel @ esk2_0 @ (esk3_2 @ esk2_0 @ esk2_0))|(irel @ X2 @ (esk4_2 @ esk2_0 @ X2))|~((irel @ esk2_0 @ X2)))), inference(spm,[status(thm)],[c_0_39, c_0_36])). 0.18/0.48 thf(c_0_43, plain, ![X65:$i, X66:$i, X67:$i, X68:$i, X70:$i, X71:$i, X72:$i]:(((~(irel @ X65 @ X66)|(p1 @ X66)|(~(irel @ X65 @ X67)|(p2 @ X67))|~(epred1_1 @ X65))&((((irel @ X68 @ (esk5_2 @ X65 @ X68))|~(irel @ X65 @ X68)|(~(irel @ X65 @ X70)|(p2 @ X70))|~(epred1_1 @ X65))&(~(p1 @ (esk5_2 @ X65 @ X68))|~(irel @ X65 @ X68)|(~(irel @ X65 @ X70)|(p2 @ X70))|~(epred1_1 @ X65)))&(((irel @ X72 @ (esk6_2 @ X65 @ X72))|~(irel @ X65 @ X72)|(~(irel @ X65 @ X71)|(p1 @ X71))|~(epred1_1 @ X65))&(~(p2 @ (esk6_2 @ X65 @ X72))|~(irel @ X65 @ X72)|(~(irel @ X65 @ X71)|(p1 @ X71))|~(epred1_1 @ X65)))))), 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_40])])])])])). 0.18/0.48 thf(c_0_44, negated_conjecture, ![X7:$i, X2:$i]:(((irel @ esk1_0 @ X2)|~((irel @ esk2_0 @ X7))|~((irel @ X7 @ X2)))), inference(spm,[status(thm)],[c_0_37, c_0_41])). 0.18/0.48 thf(c_0_45, negated_conjecture, ((irel @ esk2_0 @ (esk4_2 @ esk2_0 @ esk2_0))|(irel @ esk2_0 @ (esk3_2 @ esk2_0 @ esk2_0))), inference(spm,[status(thm)],[c_0_42, c_0_36])). 0.18/0.48 thf(c_0_46, plain, ![X2:$i, X8:$i, X7:$i]:(((irel @ X2 @ (esk5_2 @ X7 @ X2))|(p2 @ X8)|~((irel @ X7 @ X2))|~((irel @ X7 @ X8))|~((epred1_1 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_43])). 0.18/0.48 thf(c_0_47, negated_conjecture, ![X2:$i]:(((irel @ esk2_0 @ (esk3_2 @ esk2_0 @ esk2_0))|(irel @ esk1_0 @ X2)|~((irel @ (esk4_2 @ esk2_0 @ esk2_0) @ X2)))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 0.18/0.48 thf(c_0_48, negated_conjecture, ![X2:$i, X7:$i]:(((irel @ X2 @ (esk5_2 @ esk1_0 @ X2))|(p2 @ X7)|~((irel @ esk1_0 @ X2))|~((irel @ esk2_0 @ X7))|~((epred1_1 @ esk1_0)))), inference(spm,[status(thm)],[c_0_46, c_0_41])). 0.18/0.48 thf(c_0_49, negated_conjecture, ![X2:$i]:(((epred1_1 @ X2)|~((irel @ esk1_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.18/0.48 thf(c_0_50, plain, ![X8:$i, X7:$i, X2:$i]:(((p1 @ X7)|(p2 @ X8)|~((irel @ X2 @ X7))|~((irel @ X2 @ X8))|~((epred1_1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_43])). 0.18/0.48 thf(c_0_51, negated_conjecture, ((irel @ esk1_0 @ (esk4_2 @ esk2_0 @ esk2_0))|(irel @ esk2_0 @ (esk3_2 @ esk2_0 @ esk2_0))), inference(spm,[status(thm)],[c_0_47, c_0_36])). 0.18/0.48 thf(c_0_52, negated_conjecture, ![X2:$i, X7:$i]:(((irel @ X2 @ (esk5_2 @ esk1_0 @ X2))|(p2 @ X7)|~((irel @ esk1_0 @ X2))|~((irel @ esk2_0 @ X7)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_36])])). 0.18/0.48 thf(c_0_53, plain, ![X2:$i]:(((irel @ esk2_0 @ (esk3_2 @ esk2_0 @ esk2_0))|(p2 @ (esk4_2 @ esk2_0 @ esk2_0))|(p1 @ X2)|~((irel @ esk1_0 @ X2))|~((epred1_1 @ esk1_0)))), inference(spm,[status(thm)],[c_0_50, c_0_51])). 0.18/0.48 thf(c_0_54, negated_conjecture, ![X2:$i]:(((irel @ esk1_0 @ (esk5_2 @ esk1_0 @ esk1_0))|(p2 @ X2)|~((irel @ esk2_0 @ X2)))), inference(spm,[status(thm)],[c_0_52, c_0_36])). 0.18/0.48 thf(c_0_55, negated_conjecture, ![X2:$i]:(((irel @ esk2_0 @ (esk3_2 @ esk2_0 @ esk2_0))|(p2 @ (esk4_2 @ esk2_0 @ esk2_0))|(p1 @ X2)|~((irel @ esk1_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_49]), c_0_36])])). 0.18/0.48 thf(c_0_56, negated_conjecture, ((irel @ esk2_0 @ (esk3_2 @ esk2_0 @ esk2_0))|(irel @ esk1_0 @ (esk5_2 @ esk1_0 @ esk1_0))|(p2 @ (esk4_2 @ esk2_0 @ esk2_0))), inference(spm,[status(thm)],[c_0_54, c_0_45])). 0.18/0.48 thf(c_0_57, plain, ![X8:$i, X7:$i, X2:$i]:(((p2 @ X8)|~((p1 @ (esk5_2 @ X2 @ X7)))|~((irel @ X2 @ X7))|~((irel @ X2 @ X8))|~((epred1_1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_43])). 0.18/0.48 thf(c_0_58, negated_conjecture, ((irel @ esk2_0 @ (esk3_2 @ esk2_0 @ esk2_0))|(p1 @ (esk5_2 @ esk1_0 @ esk1_0))|(p2 @ (esk4_2 @ esk2_0 @ esk2_0))), inference(spm,[status(thm)],[c_0_55, c_0_56])). 0.18/0.48 thf(c_0_59, plain, ![X2:$i]:(((irel @ esk2_0 @ (esk3_2 @ esk2_0 @ esk2_0))|(p2 @ (esk4_2 @ esk2_0 @ esk2_0))|(p2 @ X2)|~((irel @ esk1_0 @ X2))|~((epred1_1 @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_36])])). 0.18/0.48 thf(c_0_60, negated_conjecture, ![X2:$i]:(((irel @ esk2_0 @ (esk3_2 @ esk2_0 @ esk2_0))|(p2 @ (esk4_2 @ esk2_0 @ esk2_0))|(p2 @ X2)|~((irel @ esk1_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_49]), c_0_36])])). 0.18/0.48 thf(c_0_61, negated_conjecture, ![X8:$i, X7:$i, X2:$i]:(((irel @ X8 @ (esk3_2 @ X2 @ X8))|~((p2 @ (esk4_2 @ X2 @ X7)))|~((irel @ X2 @ X7))|~((irel @ X2 @ X8))|~((irel @ esk2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.18/0.48 thf(c_0_62, negated_conjecture, ((irel @ esk2_0 @ (esk3_2 @ esk2_0 @ esk2_0))|(p2 @ (esk4_2 @ esk2_0 @ esk2_0))), inference(spm,[status(thm)],[c_0_60, c_0_51])). 0.18/0.48 thf(c_0_63, negated_conjecture, ![X2:$i]:(((irel @ esk2_0 @ (esk3_2 @ esk2_0 @ esk2_0))|(irel @ X2 @ (esk3_2 @ esk2_0 @ X2))|~((irel @ esk2_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_36])])). 0.18/0.48 thf(c_0_64, plain, ![X2:$i, X8:$i, X7:$i]:(((irel @ X2 @ (esk6_2 @ X7 @ X2))|(p1 @ X8)|~((irel @ X7 @ X2))|~((irel @ X7 @ X8))|~((epred1_1 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_43])). 0.18/0.48 thf(c_0_65, negated_conjecture, (irel @ esk2_0 @ (esk3_2 @ esk2_0 @ esk2_0)), inference(spm,[status(thm)],[c_0_63, c_0_36])). 0.18/0.48 thf(c_0_66, negated_conjecture, ![X2:$i, X7:$i]:(((irel @ X2 @ (esk6_2 @ esk1_0 @ X2))|(p1 @ X7)|~((irel @ esk1_0 @ X2))|~((irel @ esk2_0 @ X7))|~((epred1_1 @ esk1_0)))), inference(spm,[status(thm)],[c_0_64, c_0_41])). 0.18/0.48 thf(c_0_67, negated_conjecture, ![X7:$i, X2:$i]:(((p2 @ X2)|(p1 @ X7)|~((irel @ esk1_0 @ X7))|~((irel @ esk2_0 @ X2))|~((epred1_1 @ esk1_0)))), inference(spm,[status(thm)],[c_0_50, c_0_41])). 0.18/0.48 thf(c_0_68, negated_conjecture, ![X2:$i]:(((irel @ esk1_0 @ X2)|~((irel @ (esk3_2 @ esk2_0 @ esk2_0) @ X2)))), inference(spm,[status(thm)],[c_0_44, c_0_65])). 0.18/0.48 thf(c_0_69, negated_conjecture, ![X2:$i, X7:$i]:(((irel @ X2 @ (esk6_2 @ esk1_0 @ X2))|(p1 @ X7)|~((irel @ esk1_0 @ X2))|~((irel @ esk2_0 @ X7)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_49]), c_0_36])])). 0.18/0.48 thf(c_0_70, negated_conjecture, ![X2:$i, X7:$i]:(((p1 @ X2)|(p2 @ X7)|~((irel @ esk1_0 @ X2))|~((irel @ esk2_0 @ X7)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_49]), c_0_36])])). 0.18/0.48 thf(c_0_71, negated_conjecture, (irel @ esk1_0 @ (esk3_2 @ esk2_0 @ esk2_0)), inference(spm,[status(thm)],[c_0_68, c_0_36])). 0.18/0.48 thf(c_0_72, negated_conjecture, ![X2:$i]:(((irel @ esk2_0 @ (esk6_2 @ esk1_0 @ esk2_0))|(p1 @ X2)|~((irel @ esk2_0 @ X2)))), inference(spm,[status(thm)],[c_0_69, c_0_38])). 0.18/0.48 thf(c_0_73, negated_conjecture, ![X2:$i]:(((p1 @ (esk3_2 @ esk2_0 @ esk2_0))|(p2 @ X2)|~((irel @ esk2_0 @ X2)))), inference(spm,[status(thm)],[c_0_70, c_0_71])). 0.18/0.48 thf(c_0_74, negated_conjecture, ((irel @ esk2_0 @ (esk6_2 @ esk1_0 @ esk2_0))|(p1 @ (esk3_2 @ esk2_0 @ esk2_0))), inference(spm,[status(thm)],[c_0_72, c_0_65])). 0.18/0.48 thf(c_0_75, plain, ![X8:$i, X7:$i, X2:$i]:(((p1 @ X8)|~((p2 @ (esk6_2 @ X2 @ X7)))|~((irel @ X2 @ X7))|~((irel @ X2 @ X8))|~((epred1_1 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_43])). 0.18/0.48 thf(c_0_76, negated_conjecture, ((p2 @ (esk6_2 @ esk1_0 @ esk2_0))|(p1 @ (esk3_2 @ esk2_0 @ esk2_0))), inference(spm,[status(thm)],[c_0_73, c_0_74])). 0.18/0.48 thf(c_0_77, plain, ![X2:$i]:(((p1 @ (esk3_2 @ esk2_0 @ esk2_0))|(p1 @ X2)|~((irel @ esk1_0 @ X2))|~((epred1_1 @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_76]), c_0_38])])). 0.18/0.48 thf(c_0_78, negated_conjecture, ![X2:$i]:(((p1 @ (esk3_2 @ esk2_0 @ esk2_0))|(p1 @ X2)|~((irel @ esk1_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77, c_0_49]), c_0_36])])). 0.18/0.48 thf(c_0_79, negated_conjecture, ![X2:$i, X8:$i, X7:$i]:(((irel @ X2 @ (esk4_2 @ X7 @ X2))|~((irel @ X7 @ X2))|~((p1 @ (esk3_2 @ X7 @ X8)))|~((irel @ X7 @ X8))|~((irel @ esk2_0 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.18/0.48 thf(c_0_80, negated_conjecture, (p1 @ (esk3_2 @ esk2_0 @ esk2_0)), inference(spm,[status(thm)],[c_0_78, c_0_71])). 0.18/0.48 thf(c_0_81, negated_conjecture, ![X2:$i, X7:$i]:(((p2 @ X2)|(p1 @ X7)|~((irel @ esk2_0 @ X2))|~((irel @ esk2_0 @ X7)))), inference(spm,[status(thm)],[c_0_70, c_0_41])). 0.18/0.48 thf(c_0_82, negated_conjecture, ![X2:$i]:(((irel @ X2 @ (esk4_2 @ esk2_0 @ X2))|~((irel @ esk2_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_36])])). 0.18/0.48 thf(c_0_83, negated_conjecture, ![X2:$i]:(((irel @ esk2_0 @ (esk5_2 @ esk1_0 @ esk2_0))|(p2 @ X2)|~((irel @ esk2_0 @ X2)))), inference(spm,[status(thm)],[c_0_52, c_0_38])). 0.18/0.48 thf(c_0_84, negated_conjecture, ![X2:$i]:(((p2 @ (esk4_2 @ esk2_0 @ esk2_0))|(p1 @ X2)|~((irel @ esk2_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_36])])). 0.18/0.48 thf(c_0_85, negated_conjecture, ((irel @ esk2_0 @ (esk5_2 @ esk1_0 @ esk2_0))|(p2 @ (esk4_2 @ esk2_0 @ esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_82]), c_0_36])])). 0.18/0.48 thf(c_0_86, negated_conjecture, ((p1 @ (esk5_2 @ esk1_0 @ esk2_0))|(p2 @ (esk4_2 @ esk2_0 @ esk2_0))), inference(spm,[status(thm)],[c_0_84, c_0_85])). 0.18/0.48 thf(c_0_87, plain, ![X2:$i]:(((p2 @ (esk4_2 @ esk2_0 @ esk2_0))|(p2 @ X2)|~((irel @ esk1_0 @ X2))|~((epred1_1 @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_86]), c_0_38])])). 0.18/0.48 thf(c_0_88, negated_conjecture, ![X2:$i]:(((irel @ esk1_0 @ X2)|~((irel @ (esk4_2 @ esk2_0 @ esk2_0) @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_82]), c_0_36])])). 0.18/0.48 thf(c_0_89, negated_conjecture, ![X8:$i, X7:$i, X2:$i]:((~((p2 @ (esk4_2 @ X2 @ X7)))|~((irel @ X2 @ X7))|~((p1 @ (esk3_2 @ X2 @ X8)))|~((irel @ X2 @ X8))|~((irel @ esk2_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.18/0.48 thf(c_0_90, negated_conjecture, ![X2:$i]:(((p2 @ (esk4_2 @ esk2_0 @ esk2_0))|(p2 @ X2)|~((irel @ esk1_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_49]), c_0_36])])). 0.18/0.48 thf(c_0_91, negated_conjecture, (irel @ esk1_0 @ (esk4_2 @ esk2_0 @ esk2_0)), inference(spm,[status(thm)],[c_0_88, c_0_36])). 0.18/0.48 thf(c_0_92, negated_conjecture, ![X2:$i]:((~((p2 @ (esk4_2 @ esk2_0 @ X2)))|~((irel @ esk2_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_80]), c_0_36])])). 0.18/0.48 thf(c_0_93, negated_conjecture, (p2 @ (esk4_2 @ esk2_0 @ esk2_0)), inference(spm,[status(thm)],[c_0_90, c_0_91])). 0.18/0.48 thf(c_0_94, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_93]), c_0_36])]), ['proof']). 0.18/0.48 # SZS output end CNFRefutation 0.18/0.48 # Parsed axioms : 44 0.18/0.48 # Removed by relevancy pruning/SinE : 0 0.18/0.48 # Initial clauses : 35 0.18/0.48 # Removed in clause preprocessing : 22 0.18/0.48 # Initial clauses in saturation : 13 0.18/0.48 # Processed clauses : 254 0.18/0.48 # ...of these trivial : 7 0.18/0.48 # ...subsumed : 49 0.18/0.48 # ...remaining for further processing : 198 0.18/0.48 # Other redundant clauses eliminated : 0 0.18/0.48 # Clauses deleted for lack of memory : 0 0.18/0.48 # Backward-subsumed : 48 0.18/0.48 # Backward-rewritten : 72 0.18/0.48 # Generated clauses : 766 0.18/0.48 # ...of the previous two non-redundant : 641 0.18/0.48 # ...aggressively subsumed : 0 0.18/0.48 # Contextual simplify-reflections : 2 0.18/0.48 # Paramodulations : 766 0.18/0.48 # Factorizations : 0 0.18/0.48 # NegExts : 0 0.18/0.48 # Equation resolutions : 0 0.18/0.48 # Propositional unsat checks : 0 0.18/0.48 # Propositional check models : 0 0.18/0.48 # Propositional check unsatisfiable : 0 0.18/0.48 # Propositional clauses : 0 0.18/0.48 # Propositional clauses after purity: 0 0.18/0.48 # Propositional unsat core size : 0 0.18/0.48 # Propositional preprocessing time : 0.000 0.18/0.48 # Propositional encoding time : 0.000 0.18/0.48 # Propositional solver time : 0.000 0.18/0.48 # Success case prop preproc time : 0.000 0.18/0.48 # Success case prop encoding time : 0.000 0.18/0.48 # Success case prop solver time : 0.000 0.18/0.48 # Current number of processed clauses : 65 0.18/0.48 # Positive orientable unit clauses : 18 0.18/0.48 # Positive unorientable unit clauses: 0 0.18/0.48 # Negative unit clauses : 0 0.18/0.48 # Non-unit-clauses : 47 0.18/0.48 # Current number of unprocessed clauses: 195 0.18/0.48 # ...number of literals in the above : 648 0.18/0.48 # Current number of archived formulas : 0 0.18/0.48 # Current number of archived clauses : 133 0.18/0.48 # Clause-clause subsumption calls (NU) : 1829 0.18/0.48 # Rec. Clause-clause subsumption calls : 994 0.18/0.48 # Non-unit clause-clause subsumptions : 96 0.18/0.48 # Unit Clause-clause subsumption calls : 69 0.18/0.48 # Rewrite failures with RHS unbound : 0 0.18/0.48 # BW rewrite match attempts : 14 0.18/0.48 # BW rewrite match successes : 10 0.18/0.48 # Condensation attempts : 0 0.18/0.48 # Condensation successes : 0 0.18/0.48 # Termbank termtop insertions : 20310 0.18/0.48 0.18/0.48 # ------------------------------------------------- 0.18/0.48 # User time : 0.027 s 0.18/0.48 # System time : 0.005 s 0.18/0.48 # Total time : 0.032 s 0.18/0.48 # Maximum resident set size: 1988 pages 0.18/0.48 0.18/0.48 # ------------------------------------------------- 0.18/0.48 # User time : 0.113 s 0.18/0.48 # System time : 0.017 s 0.18/0.48 # Total time : 0.129 s 0.18/0.48 # Maximum resident set size: 1788 pages 0.18/0.48 EOF