0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_E %s %d THM 0.10/0.30 % Computer : n015.cluster.edu 0.10/0.30 % Model : x86_64 x86_64 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.30 % Memory : 8042.1875MB 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 1440 0.10/0.31 % WCLimit : 180 0.10/0.31 % DateTime : Thu Jul 4 08:26:09 EDT 2024 0.10/0.31 % CPUTime : 0.16/0.42 Running higher-order theorem proving 0.16/0.43 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=180 /export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p 863.21/139.64 # Version: 3.2.0-ho 863.21/139.64 # Preprocessing class: HSMSSMSSMLSNHSN. 863.21/139.64 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 863.21/139.64 # Starting new_ho_10_cnf2 with 900s (5) cores 863.21/139.64 # Starting post_as_ho3 with 180s (1) cores 863.21/139.64 # Starting post_as_ho11 with 180s (1) cores 863.21/139.64 # Starting full_lambda_8 with 180s (1) cores 863.21/139.64 # new_ho_10_cnf2 with pid 2620 completed with status 0 863.21/139.64 # Result found by new_ho_10_cnf2 863.21/139.64 # Preprocessing class: HSMSSMSSMLSNHSN. 863.21/139.64 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 863.21/139.64 # Starting new_ho_10_cnf2 with 900s (5) cores 863.21/139.64 # No SInE strategy applied 863.21/139.64 # Search class: HGHNS-FFSF21-SHSSMFNN 863.21/139.64 # partial match(2): HHHNS-FFSF11-SHSSMFNN 863.21/139.64 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 863.21/139.64 # Starting new_ho_10 with 487s (1) cores 863.21/139.64 # Starting new_ho_10_cnf2 with 91s (1) cores 863.21/139.64 # Starting ehoh_best_sine_rwall with 82s (1) cores 863.21/139.64 # Starting lpo1_def_fix with 82s (1) cores 863.21/139.64 # Starting ehoh_best8_lambda with 82s (1) cores 863.21/139.64 # ehoh_best8_lambda with pid 2631 completed with status 7 863.21/139.64 # Starting sh5l with 76s (1) cores 863.21/139.64 # ehoh_best_sine_rwall with pid 2629 completed with status 7 863.21/139.64 # lpo1_def_fix with pid 2630 completed with status 7 863.21/139.64 # new_ho_10_cnf2 with pid 2628 completed with status 7 863.21/139.64 # new_ho_10 with pid 2627 completed with status 0 863.21/139.64 # Result found by new_ho_10 863.21/139.64 # Preprocessing class: HSMSSMSSMLSNHSN. 863.21/139.64 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 863.21/139.64 # Starting new_ho_10_cnf2 with 900s (5) cores 863.21/139.64 # No SInE strategy applied 863.21/139.64 # Search class: HGHNS-FFSF21-SHSSMFNN 863.21/139.64 # partial match(2): HHHNS-FFSF11-SHSSMFNN 863.21/139.64 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 863.21/139.64 # Starting new_ho_10 with 487s (1) cores 863.21/139.64 # Preprocessing time : 0.001 s 863.21/139.64 # Presaturation interreduction done 863.21/139.64 863.21/139.64 # Proof found! 863.21/139.64 # SZS status Theorem 863.21/139.64 # SZS output start CNFRefutation 863.21/139.64 thf(decl_22, type, irel: $i > $i > $o). 863.21/139.64 thf(decl_23, type, mnot: ($i > $o) > $i > $o). 863.21/139.64 thf(decl_24, type, mor: ($i > $o) > ($i > $o) > $i > $o). 863.21/139.64 thf(decl_25, type, mand: ($i > $o) > ($i > $o) > $i > $o). 863.21/139.64 thf(decl_26, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 863.21/139.64 thf(decl_27, type, mbox_s4: ($i > $o) > $i > $o). 863.21/139.64 thf(decl_28, type, iatom: ($i > $o) > $i > $o). 863.21/139.64 thf(decl_29, type, inot: ($i > $o) > $i > $o). 863.21/139.64 thf(decl_32, type, iand: ($i > $o) > ($i > $o) > $i > $o). 863.21/139.64 thf(decl_34, type, iimplies: ($i > $o) > ($i > $o) > $i > $o). 863.21/139.64 thf(decl_38, type, ivalid: ($i > $o) > $o). 863.21/139.64 thf(decl_42, type, p: $i > $o). 863.21/139.64 thf(decl_43, type, q: $i > $o). 863.21/139.64 thf(decl_44, type, r: $i > $o). 863.21/139.64 thf(decl_45, type, s: $i > $o). 863.21/139.64 thf(decl_46, type, t: $i > $o). 863.21/139.64 thf(decl_47, type, esk1_0: $i). 863.21/139.64 thf(decl_48, type, esk2_1: $i > $i). 863.21/139.64 thf(decl_49, type, esk3_1: $i > $i). 863.21/139.64 thf(decl_50, type, esk4_1: $i > $i). 863.21/139.64 thf(decl_51, type, esk5_0: $i). 863.21/139.64 thf(decl_52, type, esk6_1: $i > $i). 863.21/139.64 thf(decl_53, type, esk7_1: $i > $i). 863.21/139.64 thf(decl_54, type, esk8_2: $i > $i > $i). 863.21/139.64 thf(mimplies, axiom, ((mimplies)=(^[X4:$i > $o, X5:$i > $o]:(mor @ (mnot @ X4) @ X5))), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', mimplies)). 863.21/139.64 thf(mnot, axiom, ((mnot)=(^[X1:$i > $o, X2:$i]:(~((X1 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', mnot)). 863.21/139.64 thf(mor, axiom, ((mor)=(^[X1:$i > $o, X3:$i > $o, X2:$i]:(((X1 @ X2)|(X3 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', mor)). 863.21/139.64 thf(inot, axiom, ((inot)=(^[X6:$i > $o]:(mnot @ (mbox_s4 @ X6)))), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', inot)). 863.21/139.64 thf(mbox_s4, axiom, ((mbox_s4)=(^[X6:$i > $o, X7:$i]:(![X8:$i]:(((irel @ X7 @ X8)=>(X6 @ X8)))))), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', mbox_s4)). 863.21/139.64 thf(iand, axiom, ((iand)=(^[X6:$i > $o, X10:$i > $o]:(mand @ X6 @ X10))), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', iand)). 863.21/139.64 thf(mand, axiom, ((mand)=(^[X1:$i > $o, X3:$i > $o, X2:$i]:(((X1 @ X2)&(X3 @ X2))))), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', mand)). 863.21/139.64 thf(iimplies, axiom, ((iimplies)=(^[X6:$i > $o, X10:$i > $o]:(mimplies @ (mbox_s4 @ X6) @ (mbox_s4 @ X10)))), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', iimplies)). 863.21/139.64 thf(iatom, axiom, ((iatom)=(^[X6:$i > $o]:(X6))), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', iatom)). 863.21/139.64 thf(ivalid, axiom, ((ivalid)=(^[X11:$i > $o]:(![X9:$i]:((X11 @ X9))))), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', ivalid)). 863.21/139.64 thf(con, conjecture, (ivalid @ (iimplies @ (inot @ (iand @ (iimplies @ (iatom @ p) @ (iatom @ q)) @ (iimplies @ (iatom @ t) @ (iatom @ r)))) @ (iand @ (inot @ (inot @ (iatom @ p))) @ (iand @ (iatom @ s) @ (iatom @ s))))), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', con)). 863.21/139.64 thf(axiom1, axiom, (ivalid @ (iatom @ s)), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', axiom1)). 863.21/139.64 thf(trans_axiom, axiom, ![X12:$i, X13:$i, X14:$i]:(((irel @ X12 @ X14)<=((irel @ X13 @ X14)&(irel @ X12 @ X13)))), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', trans_axiom)). 863.21/139.64 thf(axiom2, axiom, (ivalid @ (iimplies @ (inot @ (iimplies @ (iatom @ t) @ (iatom @ r))) @ (iatom @ p))), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', axiom2)). 863.21/139.64 thf(refl_axiom, axiom, ![X15:$i]:((irel @ X15 @ X15)), file('/export/starexec/sandbox/tmp/tmp.0e3TmENRhm/E---3.1_2542.p', refl_axiom)). 863.21/139.64 thf(c_0_15, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 863.21/139.64 thf(c_0_16, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 863.21/139.64 thf(c_0_17, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 863.21/139.64 thf(c_0_18, plain, ((inot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((![X20:$i]:(((irel @ Z1 @ X20)=>(Z0 @ X20)))))))), inference(fof_simplification,[status(thm)],[inot])). 863.21/139.64 thf(c_0_19, plain, ((mbox_s4)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(![X8:$i]:(((irel @ Z1 @ X8)=>(Z0 @ X8)))))), inference(fof_simplification,[status(thm)],[mbox_s4])). 863.21/139.64 thf(c_0_20, plain, ((iand)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)&(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[iand])). 863.21/139.64 thf(c_0_21, plain, ((mand)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)&(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mand])). 863.21/139.64 thf(c_0_22, plain, ((iimplies)=(^[Z0/* 19 */:$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])). 863.21/139.64 thf(c_0_23, plain, ((mimplies)=(^[Z0/* 19 */:$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])). 863.21/139.64 thf(c_0_24, plain, ((iatom)=(^[Z0/* 0 */:$i > $o]:(Z0))), inference(fof_simplification,[status(thm)],[iatom])). 863.21/139.64 thf(c_0_25, plain, ((inot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((![X20:$i]:(((irel @ Z1 @ X20)=>(Z0 @ X20)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18, c_0_16]), c_0_19])). 863.21/139.64 thf(c_0_26, plain, ((iand)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)&(Z1 @ Z2))))), inference(apply_def,[status(thm)],[c_0_20, c_0_21])). 863.21/139.64 thf(c_0_27, plain, ((iimplies)=(^[Z0/* 19 */:$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_19])). 863.21/139.64 thf(c_0_28, plain, ((ivalid)=(^[Z0/* 6 */:$i > $o]:(![X9:$i]:((Z0 @ X9))))), inference(fof_simplification,[status(thm)],[ivalid])). 863.21/139.64 thf(c_0_29, negated_conjecture, ~(![X46:$i]:((~(![X44:$i]:(((irel @ X46 @ X44)=>~(![X41:$i]:(((irel @ X44 @ X41)=>((~(![X37:$i]:(((irel @ X41 @ X37)=>(p @ X37))))|![X38:$i]:(((irel @ X41 @ X38)=>(q @ X38))))&(~(![X39:$i]:(((irel @ X41 @ X39)=>(t @ X39))))|![X40:$i]:(((irel @ X41 @ X40)=>(r @ X40)))))))))))|![X45:$i]:(((irel @ X46 @ X45)=>(~(![X43:$i]:(((irel @ X45 @ X43)=>~(![X42:$i]:(((irel @ X43 @ X42)=>(p @ X42)))))))&(s @ X45))))))), 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)],[con]), c_0_24]), c_0_25]), c_0_26]), c_0_27]), c_0_28])])). 863.21/139.64 thf(c_0_30, plain, ![X53:$i]:((s @ X53)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom1, c_0_24]), c_0_28])). 863.21/139.64 thf(c_0_31, plain, ![X12:$i, X13:$i, X14:$i]:((((irel @ X13 @ X14)&(irel @ X12 @ X13))=>(irel @ X12 @ X14))), inference(fof_simplification,[status(thm)],[trans_axiom])). 863.21/139.64 thf(c_0_32, plain, ![X52:$i]:((~(![X50:$i]:(((irel @ X52 @ X50)=>~(![X49:$i]:(((irel @ X50 @ X49)=>(~(![X47:$i]:(((irel @ X49 @ X47)=>(t @ X47))))|![X48:$i]:(((irel @ X49 @ X48)=>(r @ X48))))))))))|![X51:$i]:(((irel @ X52 @ X51)=>(p @ X51))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom2, c_0_24]), c_0_25]), c_0_27]), c_0_28])). 863.21/139.64 thf(c_0_33, negated_conjecture, ![X59:$i, X61:$i, X63:$i, X66:$i]:(((((irel @ X59 @ (esk2_1 @ X59))|~(irel @ esk1_0 @ X59))&(((~(irel @ (esk2_1 @ X59) @ X63)|(t @ X63)|(~(irel @ (esk2_1 @ X59) @ X61)|(p @ X61))|~(irel @ esk1_0 @ X59))&(((irel @ (esk2_1 @ X59) @ (esk4_1 @ X59))|(~(irel @ (esk2_1 @ X59) @ X61)|(p @ X61))|~(irel @ esk1_0 @ X59))&(~(r @ (esk4_1 @ X59))|(~(irel @ (esk2_1 @ X59) @ X61)|(p @ X61))|~(irel @ esk1_0 @ X59))))&(((~(irel @ (esk2_1 @ X59) @ X63)|(t @ X63)|(irel @ (esk2_1 @ X59) @ (esk3_1 @ X59))|~(irel @ esk1_0 @ X59))&(((irel @ (esk2_1 @ X59) @ (esk4_1 @ X59))|(irel @ (esk2_1 @ X59) @ (esk3_1 @ X59))|~(irel @ esk1_0 @ X59))&(~(r @ (esk4_1 @ X59))|(irel @ (esk2_1 @ X59) @ (esk3_1 @ X59))|~(irel @ esk1_0 @ X59))))&((~(irel @ (esk2_1 @ X59) @ X63)|(t @ X63)|~(q @ (esk3_1 @ X59))|~(irel @ esk1_0 @ X59))&(((irel @ (esk2_1 @ X59) @ (esk4_1 @ X59))|~(q @ (esk3_1 @ X59))|~(irel @ esk1_0 @ X59))&(~(r @ (esk4_1 @ X59))|~(q @ (esk3_1 @ X59))|~(irel @ esk1_0 @ X59)))))))&((irel @ esk1_0 @ esk5_0)&(((irel @ X66 @ (esk6_1 @ X66))|~(irel @ esk5_0 @ X66)|~(s @ esk5_0))&(~(p @ (esk6_1 @ X66))|~(irel @ esk5_0 @ X66)|~(s @ esk5_0)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])])])). 863.21/139.64 thf(c_0_34, plain, ![X74:$i]:((s @ X74)), inference(variable_rename,[status(thm)],[c_0_30])). 863.21/139.64 thf(c_0_35, plain, ![X54:$i, X55:$i, X56:$i]:((~(irel @ X55 @ X56)|~(irel @ X54 @ X55)|(irel @ X54 @ X56))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])). 863.21/139.64 thf(c_0_36, plain, ![X68:$i, X70:$i, X72:$i, X73:$i]:((((irel @ X68 @ (esk7_1 @ X68))|(~(irel @ X68 @ X73)|(p @ X73)))&(((irel @ X70 @ (esk8_2 @ X68 @ X70))|(~(irel @ X70 @ X72)|(r @ X72))|~(irel @ (esk7_1 @ X68) @ X70)|(~(irel @ X68 @ X73)|(p @ X73)))&(~(t @ (esk8_2 @ X68 @ X70))|(~(irel @ X70 @ X72)|(r @ X72))|~(irel @ (esk7_1 @ X68) @ X70)|(~(irel @ X68 @ X73)|(p @ X73)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])])])). 863.21/139.64 thf(c_0_37, negated_conjecture, ![X2:$i]:(((irel @ X2 @ (esk6_1 @ X2))|~((irel @ esk5_0 @ X2))|~((s @ esk5_0)))), inference(split_conjunct,[status(thm)],[c_0_33])). 863.21/139.64 thf(c_0_38, plain, ![X2:$i]:((s @ X2)), inference(split_conjunct,[status(thm)],[c_0_34])). 863.21/139.64 thf(c_0_39, negated_conjecture, ![X2:$i]:((~((p @ (esk6_1 @ X2)))|~((irel @ esk5_0 @ X2))|~((s @ esk5_0)))), inference(split_conjunct,[status(thm)],[c_0_33])). 863.21/139.64 thf(c_0_40, plain, ![X8:$i, X7:$i, X2:$i]:(((irel @ X8 @ X7)|~((irel @ X2 @ X7))|~((irel @ X8 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_35])). 863.21/139.64 thf(c_0_41, negated_conjecture, (irel @ esk1_0 @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_33])). 863.21/139.64 thf(c_0_42, plain, ![X2:$i, X7:$i]:(((irel @ X2 @ (esk7_1 @ X2))|(p @ X7)|~((irel @ X2 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_36])). 863.21/139.64 thf(c_0_43, negated_conjecture, ![X2:$i]:(((irel @ X2 @ (esk6_1 @ X2))|~((irel @ esk5_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])). 863.21/139.64 thf(c_0_44, negated_conjecture, ![X2:$i]:((~((p @ (esk6_1 @ X2)))|~((irel @ esk5_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_38])])). 863.21/139.64 thf(c_0_45, plain, ![X57:$i]:((irel @ X57 @ X57)), inference(variable_rename,[status(thm)],[refl_axiom])). 863.21/139.64 thf(c_0_46, negated_conjecture, ![X2:$i]:(((irel @ esk1_0 @ X2)|~((irel @ esk5_0 @ X2)))), inference(spm,[status(thm)],[c_0_40, c_0_41])). 863.21/139.64 thf(c_0_47, negated_conjecture, ![X2:$i]:(((irel @ X2 @ (esk7_1 @ X2))|~((irel @ esk5_0 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])). 863.21/139.64 thf(c_0_48, plain, ![X2:$i]:((irel @ X2 @ X2)), inference(split_conjunct,[status(thm)],[c_0_45])). 863.21/139.64 thf(c_0_49, negated_conjecture, ![X2:$i]:(((irel @ X2 @ (esk2_1 @ X2))|~((irel @ esk1_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_33])). 863.21/139.64 thf(c_0_50, negated_conjecture, ![X7:$i, X2:$i]:(((irel @ (esk2_1 @ X2) @ (esk4_1 @ X2))|(p @ X7)|~((irel @ (esk2_1 @ X2) @ X7))|~((irel @ esk1_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_33])). 863.21/139.64 thf(c_0_51, negated_conjecture, (irel @ esk1_0 @ (esk7_1 @ esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48])])). 863.21/139.64 thf(c_0_52, negated_conjecture, ![X7:$i, X2:$i]:(((irel @ X2 @ X7)|~((irel @ (esk2_1 @ X2) @ X7))|~((irel @ esk1_0 @ X2)))), inference(spm,[status(thm)],[c_0_40, c_0_49])). 863.21/139.64 thf(c_0_53, negated_conjecture, ![X2:$i]:(((irel @ (esk2_1 @ X2) @ (esk4_1 @ X2))|~((irel @ esk5_0 @ (esk2_1 @ X2)))|~((irel @ esk1_0 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_43]), c_0_44])). 863.21/139.64 thf(c_0_54, negated_conjecture, ![X7:$i, X2:$i]:(((irel @ X2 @ X7)|~((irel @ (esk7_1 @ X2) @ X7))|~((irel @ esk5_0 @ X2)))), inference(spm,[status(thm)],[c_0_40, c_0_47])). 863.21/139.64 thf(c_0_55, negated_conjecture, ![X2:$i]:(((irel @ esk1_0 @ X2)|~((irel @ (esk7_1 @ esk5_0) @ X2)))), inference(spm,[status(thm)],[c_0_40, c_0_51])). 863.21/139.64 thf(c_0_56, negated_conjecture, ![X2:$i]:(((irel @ X2 @ (esk4_1 @ X2))|~((irel @ esk5_0 @ (esk2_1 @ X2)))|~((irel @ esk1_0 @ X2)))), inference(spm,[status(thm)],[c_0_52, c_0_53])). 863.21/139.64 thf(c_0_57, negated_conjecture, ![X2:$i]:(((irel @ X2 @ (esk2_1 @ (esk7_1 @ X2)))|~((irel @ esk1_0 @ (esk7_1 @ X2)))|~((irel @ esk5_0 @ X2)))), inference(spm,[status(thm)],[c_0_54, c_0_49])). 863.21/139.64 thf(c_0_58, negated_conjecture, (irel @ esk1_0 @ (esk2_1 @ (esk7_1 @ esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_49]), c_0_51])])). 863.21/139.64 thf(c_0_59, negated_conjecture, (irel @ (esk7_1 @ esk5_0) @ (esk4_1 @ (esk7_1 @ esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_51]), c_0_48])])). 863.21/139.64 thf(c_0_60, negated_conjecture, ![X2:$i]:(((irel @ esk1_0 @ X2)|~((irel @ (esk2_1 @ (esk7_1 @ esk5_0)) @ X2)))), inference(spm,[status(thm)],[c_0_40, c_0_58])). 863.21/139.64 thf(c_0_61, plain, ![X2:$i, X7:$i, X8:$i, X9:$i]:(((irel @ X2 @ (esk8_2 @ X7 @ X2))|(r @ X8)|(p @ X9)|~((irel @ X2 @ X8))|~((irel @ (esk7_1 @ X7) @ X2))|~((irel @ X7 @ X9)))), inference(split_conjunct,[status(thm)],[c_0_36])). 863.21/139.64 thf(c_0_62, negated_conjecture, ![X7:$i, X2:$i]:(((p @ X7)|~((r @ (esk4_1 @ X2)))|~((irel @ (esk2_1 @ X2) @ X7))|~((irel @ esk1_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_33])). 863.21/139.64 thf(c_0_63, negated_conjecture, (irel @ esk5_0 @ (esk4_1 @ (esk7_1 @ esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_59]), c_0_48])])). 863.21/139.64 thf(c_0_64, negated_conjecture, ((irel @ esk1_0 @ (esk4_1 @ (esk7_1 @ esk5_0)))|~((irel @ esk5_0 @ (esk2_1 @ (esk7_1 @ esk5_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_53]), c_0_51])])). 863.21/139.64 thf(c_0_65, negated_conjecture, ![X8:$i, X7:$i, X2:$i]:(((t @ X7)|(p @ X8)|~((irel @ (esk2_1 @ X2) @ X7))|~((irel @ (esk2_1 @ X2) @ X8))|~((irel @ esk1_0 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_33])). 863.21/139.64 thf(c_0_66, negated_conjecture, ![X2:$i, X7:$i, X8:$i]:(((irel @ X2 @ (esk8_2 @ X7 @ X2))|(r @ X8)|~((irel @ (esk7_1 @ X7) @ X2))|~((irel @ esk5_0 @ X7))|~((irel @ X2 @ X8)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_43]), c_0_44])). 863.21/139.64 thf(c_0_67, negated_conjecture, ![X2:$i]:((~((irel @ esk5_0 @ (esk2_1 @ X2)))|~((r @ (esk4_1 @ X2)))|~((irel @ esk1_0 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_43]), c_0_44])). 863.21/139.64 thf(c_0_68, negated_conjecture, ![X2:$i]:(((irel @ esk5_0 @ X2)|~((irel @ (esk4_1 @ (esk7_1 @ esk5_0)) @ X2)))), inference(spm,[status(thm)],[c_0_40, c_0_63])). 863.21/139.64 thf(c_0_69, negated_conjecture, (irel @ esk1_0 @ (esk4_1 @ (esk7_1 @ esk5_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_57]), c_0_51]), c_0_48])])). 863.21/139.64 thf(c_0_70, negated_conjecture, ![X2:$i, X7:$i]:(((t @ X2)|~((irel @ esk5_0 @ (esk2_1 @ X7)))|~((irel @ (esk2_1 @ X7) @ X2))|~((irel @ esk1_0 @ X7)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_43]), c_0_44])). 863.21/139.64 thf(c_0_71, negated_conjecture, ![X7:$i, X2:$i]:(((irel @ (esk2_1 @ X2) @ (esk8_2 @ X7 @ (esk2_1 @ X2)))|~((irel @ (esk7_1 @ X7) @ (esk2_1 @ X2)))|~((irel @ esk5_0 @ (esk2_1 @ X2)))|~((irel @ esk5_0 @ X7))|~((irel @ esk1_0 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_53]), c_0_67])). 863.21/139.64 thf(c_0_72, negated_conjecture, (irel @ esk5_0 @ (esk2_1 @ (esk4_1 @ (esk7_1 @ esk5_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_49]), c_0_69])])). 863.21/139.64 thf(c_0_73, negated_conjecture, ![X2:$i]:(((irel @ esk1_0 @ X2)|~((irel @ (esk4_1 @ (esk7_1 @ esk5_0)) @ X2)))), inference(spm,[status(thm)],[c_0_40, c_0_69])). 863.21/139.64 thf(c_0_74, plain, ![X2:$i, X8:$i, X7:$i, X9:$i]:(((r @ X8)|(p @ X9)|~((t @ (esk8_2 @ X2 @ X7)))|~((irel @ X7 @ X8))|~((irel @ (esk7_1 @ X2) @ X7))|~((irel @ X2 @ X9)))), inference(split_conjunct,[status(thm)],[c_0_36])). 863.21/139.64 thf(c_0_75, negated_conjecture, ![X7:$i, X2:$i]:(((t @ (esk8_2 @ X2 @ (esk2_1 @ X7)))|~((irel @ (esk7_1 @ X2) @ (esk2_1 @ X7)))|~((irel @ esk5_0 @ (esk2_1 @ X7)))|~((irel @ esk1_0 @ X7))|~((irel @ esk5_0 @ X2)))), inference(spm,[status(thm)],[c_0_70, c_0_71])). 863.21/139.64 thf(c_0_76, negated_conjecture, ![X2:$i]:(((irel @ (esk7_1 @ esk5_0) @ X2)|~((irel @ (esk4_1 @ (esk7_1 @ esk5_0)) @ X2)))), inference(spm,[status(thm)],[c_0_40, c_0_59])). 863.21/139.64 thf(c_0_77, negated_conjecture, ![X2:$i]:(((irel @ X2 @ (esk6_1 @ (esk2_1 @ X2)))|~((irel @ esk5_0 @ (esk2_1 @ X2)))|~((irel @ esk1_0 @ X2)))), inference(spm,[status(thm)],[c_0_52, c_0_43])). 863.21/139.64 thf(c_0_78, negated_conjecture, ![X2:$i]:(((irel @ esk5_0 @ X2)|~((irel @ (esk2_1 @ (esk4_1 @ (esk7_1 @ esk5_0))) @ X2)))), inference(spm,[status(thm)],[c_0_40, c_0_72])). 863.21/139.64 thf(c_0_79, negated_conjecture, (irel @ esk1_0 @ (esk2_1 @ (esk4_1 @ (esk7_1 @ esk5_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_49]), c_0_69])])). 863.21/139.64 thf(c_0_80, negated_conjecture, ![X2:$i, X9:$i, X8:$i, X7:$i]:(((r @ X2)|(p @ X7)|~((irel @ (esk7_1 @ X8) @ (esk2_1 @ X9)))|~((irel @ esk5_0 @ (esk2_1 @ X9)))|~((irel @ (esk2_1 @ X9) @ X2))|~((irel @ esk1_0 @ X9))|~((irel @ esk5_0 @ X8))|~((irel @ X8 @ X7)))), inference(spm,[status(thm)],[c_0_74, c_0_75])). 863.21/139.64 thf(c_0_81, negated_conjecture, (irel @ (esk7_1 @ esk5_0) @ (esk2_1 @ (esk4_1 @ (esk7_1 @ esk5_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_49]), c_0_69])])). 863.21/139.64 thf(c_0_82, negated_conjecture, ![X2:$i]:((~((irel @ esk5_0 @ (esk2_1 @ (esk2_1 @ X2))))|~((irel @ esk1_0 @ (esk2_1 @ X2)))|~((r @ (esk4_1 @ X2)))|~((irel @ esk1_0 @ X2)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_77]), c_0_44])). 863.21/139.64 thf(c_0_83, negated_conjecture, (irel @ esk5_0 @ (esk2_1 @ (esk2_1 @ (esk4_1 @ (esk7_1 @ esk5_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_49]), c_0_79])])). 863.21/139.64 thf(c_0_84, negated_conjecture, ![X7:$i, X2:$i]:(((p @ X2)|(r @ X7)|~((irel @ (esk2_1 @ (esk4_1 @ (esk7_1 @ esk5_0))) @ X7))|~((irel @ esk5_0 @ X2)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_72]), c_0_69]), c_0_48])])). 863.21/139.64 thf(c_0_85, negated_conjecture, ~((r @ (esk4_1 @ (esk4_1 @ (esk7_1 @ esk5_0))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_79]), c_0_69])])). 863.21/139.64 thf(c_0_86, negated_conjecture, ![X2:$i]:(((p @ X2)|~((irel @ esk5_0 @ X2)))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_53]), c_0_72]), c_0_69])]), c_0_85])). 863.21/139.64 thf(c_0_87, negated_conjecture, (p @ (esk6_1 @ esk5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_43]), c_0_48])])). 863.21/139.64 thf(c_0_88, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_87]), c_0_48])]), ['proof']). 863.21/139.64 # SZS output end CNFRefutation 863.21/139.64 # Parsed axioms : 49 863.21/139.64 # Removed by relevancy pruning/SinE : 0 863.21/139.64 # Initial clauses : 44 863.21/139.64 # Removed in clause preprocessing : 25 863.21/139.64 # Initial clauses in saturation : 19 863.21/139.64 # Processed clauses : 16790 863.21/139.64 # ...of these trivial : 2056 863.21/139.64 # ...subsumed : 4773 863.21/139.64 # ...remaining for further processing : 9961 863.21/139.64 # Other redundant clauses eliminated : 0 863.21/139.64 # Clauses deleted for lack of memory : 67286 863.21/139.64 # Backward-subsumed : 454 863.21/139.64 # Backward-rewritten : 1022 863.21/139.64 # Generated clauses : 3277924 863.21/139.64 # ...of the previous two non-redundant : 3192524 863.21/139.64 # ...aggressively subsumed : 0 863.21/139.64 # Contextual simplify-reflections : 580 863.21/139.64 # Paramodulations : 3277924 863.21/139.64 # Factorizations : 0 863.21/139.64 # NegExts : 0 863.21/139.64 # Equation resolutions : 0 863.21/139.64 # Disequality decompositions : 0 863.21/139.64 # Total rewrite steps : 2567788 863.21/139.64 # ...of those cached : 2565138 863.21/139.64 # Propositional unsat checks : 0 863.21/139.64 # Propositional check models : 0 863.21/139.64 # Propositional check unsatisfiable : 0 863.21/139.64 # Propositional clauses : 0 863.21/139.64 # Propositional clauses after purity: 0 863.21/139.64 # Propositional unsat core size : 0 863.21/139.64 # Propositional preprocessing time : 0.000 863.21/139.64 # Propositional encoding time : 0.000 863.21/139.64 # Propositional solver time : 0.000 863.21/139.64 # Success case prop preproc time : 0.000 863.21/139.64 # Success case prop encoding time : 0.000 863.21/139.64 # Success case prop solver time : 0.000 863.21/139.64 # Current number of processed clauses : 8466 863.21/139.64 # Positive orientable unit clauses : 2726 863.21/139.64 # Positive unorientable unit clauses: 0 863.21/139.64 # Negative unit clauses : 80 863.21/139.64 # Non-unit-clauses : 5660 863.21/139.64 # Current number of unprocessed clauses: 1070811 863.21/139.64 # ...number of literals in the above : 5407956 863.21/139.64 # Current number of archived formulas : 0 863.21/139.64 # Current number of archived clauses : 1495 863.21/139.64 # Clause-clause subsumption calls (NU) : 14551189 863.21/139.64 # Rec. Clause-clause subsumption calls : 1818984 863.21/139.64 # Non-unit clause-clause subsumptions : 5430 863.21/139.64 # Unit Clause-clause subsumption calls : 862195 863.21/139.64 # Rewrite failures with RHS unbound : 0 863.21/139.64 # BW rewrite match attempts : 99792 863.21/139.64 # BW rewrite match successes : 62 863.21/139.64 # Condensation attempts : 16790 863.21/139.64 # Condensation successes : 0 863.21/139.64 # Termbank termtop insertions : 91684401 863.21/139.64 # Search garbage collected termcells : 821726 863.21/139.64 863.21/139.64 # ------------------------------------------------- 863.21/139.64 # User time : 426.183 s 863.21/139.64 # System time : 8.077 s 863.21/139.64 # Total time : 434.260 s 863.21/139.64 # Maximum resident set size: 2060 pages 863.21/139.64 863.21/139.64 # ------------------------------------------------- 863.21/139.64 # User time : 481.869 s 863.21/139.64 # System time : 9.153 s 863.21/139.64 # Total time : 491.023 s 863.21/139.64 # Maximum resident set size: 1776 pages 863.21/139.64 % E---3.1 exiting 863.21/139.64 % E exiting 863.21/139.64 EOF