0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n004.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 08:26:04 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.48 Running higher-order theorem proving 0.19/0.49 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=240 /export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p 0.88/0.61 # Version: 3.0.0-ho 0.88/0.61 # Preprocessing class: HSMSSMSSMLLNHSN. 0.88/0.61 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.88/0.61 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.88/0.61 # Starting post_as_ho3 with 240s (1) cores 0.88/0.61 # Starting new_ho_12 with 240s (1) cores 0.88/0.61 # Starting new_bool_2 with 240s (1) cores 0.88/0.61 # new_ho_10_cnf2 with pid 1697 completed with status 0 0.88/0.61 # Result found by new_ho_10_cnf2 0.88/0.61 # Preprocessing class: HSMSSMSSMLLNHSN. 0.88/0.61 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.88/0.61 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.88/0.61 # No SInE strategy applied 0.88/0.61 # Search class: HGHNF-FFMS32-SHSSMMBN 0.88/0.61 # partial match(2): HGUNF-FFSS32-SHSSMMBN 0.88/0.61 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.88/0.61 # Starting sh3 with 649s (1) cores 0.88/0.61 # Starting new_ho_10_cnf2 with 121s (1) cores 0.88/0.61 # Starting lpo1_def_fix with 109s (1) cores 0.88/0.61 # Starting ehoh_best8_lambda with 109s (1) cores 0.88/0.61 # Starting sh4l with 109s (1) cores 0.88/0.61 # new_ho_10_cnf2 with pid 1709 completed with status 0 0.88/0.61 # Result found by new_ho_10_cnf2 0.88/0.61 # Preprocessing class: HSMSSMSSMLLNHSN. 0.88/0.61 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.88/0.61 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.88/0.61 # No SInE strategy applied 0.88/0.61 # Search class: HGHNF-FFMS32-SHSSMMBN 0.88/0.61 # partial match(2): HGUNF-FFSS32-SHSSMMBN 0.88/0.61 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.88/0.61 # Starting sh3 with 649s (1) cores 0.88/0.61 # Starting new_ho_10_cnf2 with 121s (1) cores 0.88/0.61 # Preprocessing time : 0.004 s 0.88/0.61 # Presaturation interreduction done 0.88/0.61 0.88/0.61 # Proof found! 0.88/0.61 # SZS status Theorem 0.88/0.61 # SZS output start CNFRefutation 0.88/0.61 thf(decl_25, type, mnot: ($i > $o) > $i > $o). 0.88/0.61 thf(decl_26, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.88/0.61 thf(decl_28, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.88/0.61 thf(decl_33, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.88/0.61 thf(decl_38, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.88/0.61 thf(decl_50, type, mvalid: ($i > $o) > $o). 0.88/0.61 thf(decl_54, type, a: $i > $i > $o). 0.88/0.61 thf(decl_55, type, b: $i > $i > $o). 0.88/0.61 thf(decl_56, type, c: $i > $i > $o). 0.88/0.61 thf(decl_57, type, fool: $i > $i > $o). 0.88/0.61 thf(decl_58, type, ws: ($i > $i > $o) > $i > $o). 0.88/0.61 thf(decl_59, type, priorG: $i > $i > $o). 0.88/0.61 thf(decl_61, type, esk1_3: $i > ($i > $o) > $i > $i). 0.88/0.61 thf(decl_65, type, esk5_2: $i > ($i > $o) > $i). 0.88/0.61 thf(decl_72, type, esk12_2: $i > $i > $i). 0.88/0.61 thf(decl_73, type, esk13_3: $i > ($i > $o) > $i > $i). 0.88/0.61 thf(decl_74, type, esk14_3: $i > $i > $i > $i). 0.88/0.61 thf(decl_76, type, esk16_0: $i). 0.88/0.61 thf(decl_77, type, esk17_0: $i). 0.88/0.61 thf(decl_78, type, esk18_0: $i). 0.88/0.61 thf(decl_79, type, esk19_0: $i). 0.88/0.61 thf(decl_80, type, esk20_0: $i). 0.88/0.61 thf(decl_83, type, esk23_2: $i > ($i > $o) > $i). 0.88/0.61 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', mimplies)). 0.88/0.61 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', mnot)). 0.88/0.61 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', mor)). 0.88/0.61 thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', mforall_prop)). 0.88/0.61 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', mbox)). 0.88/0.61 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', mvalid)). 0.88/0.61 thf(i_axiom_for_fool_c, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mbox @ fool @ X6) @ (mbox @ c @ X6))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', i_axiom_for_fool_c)). 0.88/0.61 thf(conj, conjecture, (mvalid @ (mbox @ priorG @ (mbox @ priorG @ (mbox @ priorG @ (mbox @ c @ (ws @ c)))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', conj)). 0.88/0.61 thf(axiom_1, axiom, (mvalid @ (mbox @ fool @ (mor @ (ws @ a) @ (mor @ (ws @ b) @ (ws @ c))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', axiom_1)). 0.88/0.61 thf(axiom_3_b_c, axiom, (mvalid @ (mbox @ fool @ (mimplies @ (mnot @ (ws @ b)) @ (mbox @ c @ (mnot @ (ws @ b)))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', axiom_3_b_c)). 0.88/0.61 thf(t_axiom_for_fool, axiom, (mvalid @ (mforall_prop @ (^[X19:$i > $o]:(mimplies @ (mbox @ fool @ X19) @ X19)))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', t_axiom_for_fool)). 0.88/0.61 thf(a6_axiom_for_fool_c_b, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mnot @ (mbox @ c @ X6)) @ (mbox @ b @ (mnot @ (mbox @ c @ X6))))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', a6_axiom_for_fool_c_b)). 0.88/0.61 thf(axiom_5, axiom, (mvalid @ (mbox @ priorG @ (mbox @ priorG @ (mnot @ (mbox @ b @ (ws @ b)))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', axiom_5)). 0.88/0.61 thf(axiom_3_a_c, axiom, (mvalid @ (mbox @ fool @ (mimplies @ (mnot @ (ws @ a)) @ (mbox @ c @ (mnot @ (ws @ a)))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', axiom_3_a_c)). 0.88/0.61 thf(a6_axiom_for_fool_c_a, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mnot @ (mbox @ c @ X6)) @ (mbox @ a @ (mnot @ (mbox @ c @ X6))))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', a6_axiom_for_fool_c_a)). 0.88/0.61 thf(axiom_4, axiom, (mvalid @ (mbox @ priorG @ (mnot @ (mbox @ a @ (ws @ a))))), file('/export/starexec/sandbox2/tmp/tmp.ktAgfysV8e/E---3.1_1574.p', axiom_4)). 0.88/0.61 thf(c_0_16, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.88/0.61 thf(c_0_17, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.88/0.61 thf(c_0_18, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.88/0.61 thf(c_0_19, 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_16, c_0_17]), c_0_18])). 0.88/0.61 thf(c_0_20, plain, ((mforall_prop)=(^[Z0/* 19 */:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])). 0.88/0.61 thf(c_0_21, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.88/0.61 thf(c_0_22, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.88/0.61 thf(c_0_23, plain, ![X142:$i, X141:$i > $o]:((~(![X139:$i]:((~(fool @ X142 @ X139)|(X141 @ X139))))|![X140:$i]:((~(c @ X142 @ X140)|(X141 @ X140))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[i_axiom_for_fool_c]), c_0_19]), c_0_20]), c_0_21]), c_0_22])])). 0.88/0.61 thf(c_0_24, negated_conjecture, ~(![X122:$i, X121:$i]:((~(priorG @ X122 @ X121)|![X120:$i]:((~(priorG @ X121 @ X120)|![X119:$i]:((~(priorG @ X120 @ X119)|![X118:$i]:((~(c @ X119 @ X118)|(ws @ c @ X118)))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]), c_0_21]), c_0_22])])). 0.88/0.61 thf(c_0_25, plain, ![X273:$i, X274:$i > $o, X276:$i]:((((fool @ X273 @ (esk23_2 @ X273 @ X274))|(~(c @ X273 @ X276)|(X274 @ X276)))&(~(X274 @ (esk23_2 @ X273 @ X274))|(~(c @ X273 @ X276)|(X274 @ X276))))), 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_23])])])])])])). 0.88/0.61 thf(c_0_26, negated_conjecture, ((priorG @ esk16_0 @ esk17_0)&((priorG @ esk17_0 @ esk18_0)&((priorG @ esk18_0 @ esk19_0)&((c @ esk19_0 @ esk20_0)&~(ws @ c @ esk20_0))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])). 0.88/0.61 thf(c_0_27, plain, ![X47:$i, X46:$i]:((~(fool @ X47 @ X46)|((ws @ a @ X46)|((ws @ b @ X46)|(ws @ c @ X46))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_1, c_0_18]), c_0_21]), c_0_22])])). 0.88/0.61 thf(c_0_28, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((X4 @ X14)|~((X4 @ (esk23_2 @ X3 @ X4)))|~((c @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_25])). 0.88/0.61 thf(c_0_29, negated_conjecture, (c @ esk19_0 @ esk20_0), inference(split_conjunct,[status(thm)],[c_0_26])). 0.88/0.61 thf(c_0_30, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((fool @ X3 @ (esk23_2 @ X3 @ X4))|(X4 @ X14)|~((c @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_25])). 0.88/0.61 thf(c_0_31, plain, ![X100:$i, X99:$i]:((~(fool @ X100 @ X99)|((ws @ b @ X99)|![X98:$i]:((~(c @ X99 @ X98)|~(ws @ b @ X98)))))), 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)],[axiom_3_b_c, c_0_17]), c_0_19]), c_0_21]), c_0_22])])). 0.88/0.61 thf(c_0_32, plain, ![X180:$i, X181:$i]:((~(fool @ X180 @ X181)|((ws @ a @ X181)|((ws @ b @ X181)|(ws @ c @ X181))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_27])])). 0.88/0.61 thf(c_0_33, negated_conjecture, ![X4:$i > $o]:(((X4 @ esk20_0)|~((X4 @ (esk23_2 @ esk19_0 @ X4))))), inference(spm,[status(thm)],[c_0_28, c_0_29])). 0.88/0.61 thf(c_0_34, negated_conjecture, ![X4:$i > $o]:(((fool @ esk19_0 @ (esk23_2 @ esk19_0 @ X4))|(X4 @ esk20_0))), inference(spm,[status(thm)],[c_0_30, c_0_29])). 0.88/0.61 thf(c_0_35, plain, ![X50:$i, X49:$i > $o]:((~(![X48:$i]:((~(fool @ X50 @ X48)|(X49 @ X48))))|(X49 @ X50))), 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(fof_simplification,[status(thm)],[t_axiom_for_fool]), c_0_19]), c_0_20]), c_0_21]), c_0_22])])). 0.88/0.61 thf(c_0_36, plain, ![X27:$i, X26:$i > $o]:((~(~(![X23:$i]:((~(c @ X27 @ X23)|(X26 @ X23)))))|![X25:$i]:((~(b @ X27 @ X25)|~(![X24:$i]:((~(c @ X25 @ X24)|(X26 @ X24)))))))), 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(fof_simplification,[status(thm)],[a6_axiom_for_fool_c_b]), c_0_17]), c_0_19]), c_0_20]), c_0_21]), c_0_22])])). 0.88/0.61 thf(c_0_37, plain, ![X232:$i, X233:$i, X234:$i]:((~(fool @ X232 @ X233)|((ws @ b @ X233)|(~(c @ X233 @ X234)|~(ws @ b @ X234))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_31])])])). 0.88/0.61 thf(c_0_38, plain, ![X3:$i, X14:$i]:(((ws @ a @ X14)|(ws @ b @ X14)|(ws @ c @ X14)|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_32])). 0.88/0.61 thf(c_0_39, negated_conjecture, (fool @ esk19_0 @ esk20_0), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.88/0.61 thf(c_0_40, negated_conjecture, ~((ws @ c @ esk20_0)), inference(split_conjunct,[status(thm)],[c_0_26])). 0.88/0.61 thf(c_0_41, plain, ![X182:$i, X183:$i > $o]:((((fool @ X182 @ (esk5_2 @ X182 @ X183))|(X183 @ X182))&(~(X183 @ (esk5_2 @ X182 @ X183))|(X183 @ X182)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])])])). 0.88/0.61 thf(c_0_42, plain, ![X157:$i, X158:$i > $o, X159:$i, X160:$i]:((((c @ X160 @ (esk1_3 @ X157 @ X158 @ X160))|~(b @ X157 @ X160)|(~(c @ X157 @ X159)|(X158 @ X159)))&(~(X158 @ (esk1_3 @ X157 @ X158 @ X160))|~(b @ X157 @ X160)|(~(c @ X157 @ X159)|(X158 @ X159))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])])])). 0.88/0.61 thf(c_0_43, plain, ![X104:$i, X103:$i]:((~(priorG @ X104 @ X103)|![X102:$i]:((~(priorG @ X103 @ X102)|~(![X101:$i]:((~(b @ X102 @ X101)|(ws @ b @ X101)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_5, c_0_17]), c_0_21]), c_0_22])])). 0.88/0.61 thf(c_0_44, plain, ![X3:$i, X14:$i, X15:$i]:(((ws @ b @ X14)|~((fool @ X3 @ X14))|~((c @ X14 @ X15))|~((ws @ b @ X15)))), inference(split_conjunct,[status(thm)],[c_0_37])). 0.88/0.61 thf(c_0_45, negated_conjecture, ((ws @ b @ esk20_0)|(ws @ a @ esk20_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])). 0.88/0.61 thf(c_0_46, plain, ![X3:$i, X4:$i > $o]:(((X4 @ X3)|~((X4 @ (esk5_2 @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.88/0.61 thf(c_0_47, plain, ![X4:$i > $o, X3:$i]:(((fool @ X3 @ (esk5_2 @ X3 @ X4))|(X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.88/0.61 thf(c_0_48, plain, ![X4:$i > $o, X3:$i, X14:$i, X15:$i]:(((X4 @ X15)|~((X4 @ (esk1_3 @ X3 @ X4 @ X14)))|~((b @ X3 @ X14))|~((c @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_42])). 0.88/0.61 thf(c_0_49, plain, ![X4:$i > $o, X3:$i, X14:$i, X15:$i]:(((c @ X3 @ (esk1_3 @ X14 @ X4 @ X3))|(X4 @ X15)|~((b @ X14 @ X3))|~((c @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_42])). 0.88/0.61 thf(c_0_50, plain, ![X235:$i, X236:$i, X237:$i]:((((b @ X237 @ (esk14_3 @ X235 @ X236 @ X237))|~(priorG @ X236 @ X237)|~(priorG @ X235 @ X236))&(~(ws @ b @ (esk14_3 @ X235 @ X236 @ X237))|~(priorG @ X236 @ X237)|~(priorG @ X235 @ X236)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])])])])). 0.88/0.61 thf(c_0_51, negated_conjecture, ![X14:$i, X3:$i]:(((ws @ a @ esk20_0)|(ws @ b @ X3)|~((c @ X3 @ esk20_0))|~((fool @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 0.88/0.61 thf(c_0_52, plain, ![X3:$i]:((fool @ X3 @ X3)), inference(spm,[status(thm)],[c_0_46, c_0_47])). 0.88/0.61 thf(c_0_53, negated_conjecture, ![X4:$i > $o, X3:$i]:(((X4 @ esk20_0)|~((X4 @ (esk1_3 @ esk19_0 @ X4 @ X3)))|~((b @ esk19_0 @ X3)))), inference(spm,[status(thm)],[c_0_48, c_0_29])). 0.88/0.61 thf(c_0_54, negated_conjecture, ![X4:$i > $o, X3:$i]:(((c @ X3 @ (esk1_3 @ esk19_0 @ X4 @ X3))|(X4 @ esk20_0)|~((b @ esk19_0 @ X3)))), inference(spm,[status(thm)],[c_0_49, c_0_29])). 0.88/0.61 thf(c_0_55, plain, ![X15:$i, X3:$i, X14:$i]:((~((ws @ b @ (esk14_3 @ X3 @ X14 @ X15)))|~((priorG @ X14 @ X15))|~((priorG @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_50])). 0.88/0.61 thf(c_0_56, negated_conjecture, ![X3:$i]:(((ws @ a @ esk20_0)|(ws @ b @ X3)|~((c @ X3 @ esk20_0)))), inference(spm,[status(thm)],[c_0_51, c_0_52])). 0.88/0.61 thf(c_0_57, negated_conjecture, ![X3:$i]:(((c @ X3 @ esk20_0)|~((b @ esk19_0 @ X3)))), inference(spm,[status(thm)],[c_0_53, c_0_54])). 0.88/0.61 thf(c_0_58, plain, ![X3:$i, X14:$i, X15:$i]:(((b @ X3 @ (esk14_3 @ X14 @ X15 @ X3))|~((priorG @ X15 @ X3))|~((priorG @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_50])). 0.88/0.61 thf(c_0_59, negated_conjecture, ![X15:$i, X3:$i, X14:$i]:(((ws @ a @ esk20_0)|~((c @ (esk14_3 @ X3 @ X14 @ X15) @ esk20_0))|~((priorG @ X14 @ X15))|~((priorG @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_55, c_0_56])). 0.88/0.61 thf(c_0_60, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk14_3 @ X3 @ X14 @ esk19_0) @ esk20_0)|~((priorG @ X14 @ esk19_0))|~((priorG @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_57, c_0_58])). 0.88/0.61 thf(c_0_61, plain, ![X73:$i, X72:$i]:((~(fool @ X73 @ X72)|((ws @ a @ X72)|![X71:$i]:((~(c @ X72 @ X71)|~(ws @ a @ X71)))))), 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)],[axiom_3_a_c, c_0_17]), c_0_19]), c_0_21]), c_0_22])])). 0.88/0.61 thf(c_0_62, negated_conjecture, ![X14:$i, X3:$i]:(((ws @ a @ esk20_0)|~((priorG @ X3 @ esk19_0))|~((priorG @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_59, c_0_60])). 0.88/0.61 thf(c_0_63, negated_conjecture, (priorG @ esk18_0 @ esk19_0), inference(split_conjunct,[status(thm)],[c_0_26])). 0.88/0.61 thf(c_0_64, plain, ![X97:$i, X96:$i > $o]:((~(~(![X93:$i]:((~(c @ X97 @ X93)|(X96 @ X93)))))|![X95:$i]:((~(a @ X97 @ X95)|~(![X94:$i]:((~(c @ X95 @ X94)|(X96 @ X94)))))))), 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(fof_simplification,[status(thm)],[a6_axiom_for_fool_c_a]), c_0_17]), c_0_19]), c_0_20]), c_0_21]), c_0_22])])). 0.88/0.61 thf(c_0_65, plain, ![X205:$i, X206:$i, X207:$i]:((~(fool @ X205 @ X206)|((ws @ a @ X206)|(~(c @ X206 @ X207)|~(ws @ a @ X207))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_61])])])). 0.88/0.61 thf(c_0_66, negated_conjecture, ![X3:$i]:(((ws @ a @ esk20_0)|~((priorG @ X3 @ esk18_0)))), inference(spm,[status(thm)],[c_0_62, c_0_63])). 0.88/0.61 thf(c_0_67, negated_conjecture, (priorG @ esk17_0 @ esk18_0), inference(split_conjunct,[status(thm)],[c_0_26])). 0.88/0.61 thf(c_0_68, plain, ![X227:$i, X228:$i > $o, X229:$i, X230:$i]:((((c @ X230 @ (esk13_3 @ X227 @ X228 @ X230))|~(a @ X227 @ X230)|(~(c @ X227 @ X229)|(X228 @ X229)))&(~(X228 @ (esk13_3 @ X227 @ X228 @ X230))|~(a @ X227 @ X230)|(~(c @ X227 @ X229)|(X228 @ X229))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])])])])])). 0.88/0.61 thf(c_0_69, plain, ![X89:$i, X88:$i]:((~(priorG @ X89 @ X88)|~(![X87:$i]:((~(a @ X88 @ X87)|(ws @ a @ X87)))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_4, c_0_17]), c_0_21]), c_0_22])])). 0.88/0.61 thf(c_0_70, plain, ![X3:$i, X14:$i, X15:$i]:(((ws @ a @ X14)|~((fool @ X3 @ X14))|~((c @ X14 @ X15))|~((ws @ a @ X15)))), inference(split_conjunct,[status(thm)],[c_0_65])). 0.88/0.61 thf(c_0_71, negated_conjecture, (ws @ a @ esk20_0), inference(spm,[status(thm)],[c_0_66, c_0_67])). 0.88/0.61 thf(c_0_72, plain, ![X4:$i > $o, X3:$i, X14:$i, X15:$i]:(((X4 @ X15)|~((X4 @ (esk13_3 @ X3 @ X4 @ X14)))|~((a @ X3 @ X14))|~((c @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_68])). 0.88/0.61 thf(c_0_73, plain, ![X4:$i > $o, X3:$i, X14:$i, X15:$i]:(((c @ X3 @ (esk13_3 @ X14 @ X4 @ X3))|(X4 @ X15)|~((a @ X14 @ X3))|~((c @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_68])). 0.88/0.61 thf(c_0_74, plain, ![X221:$i, X222:$i]:((((a @ X222 @ (esk12_2 @ X221 @ X222))|~(priorG @ X221 @ X222))&(~(ws @ a @ (esk12_2 @ X221 @ X222))|~(priorG @ X221 @ X222)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])])])). 0.88/0.61 thf(c_0_75, negated_conjecture, ![X14:$i, X3:$i]:(((ws @ a @ X3)|~((c @ X3 @ esk20_0))|~((fool @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_70, c_0_71])). 0.88/0.61 thf(c_0_76, negated_conjecture, ![X4:$i > $o, X3:$i]:(((X4 @ esk20_0)|~((X4 @ (esk13_3 @ esk19_0 @ X4 @ X3)))|~((a @ esk19_0 @ X3)))), inference(spm,[status(thm)],[c_0_72, c_0_29])). 0.88/0.61 thf(c_0_77, negated_conjecture, ![X4:$i > $o, X3:$i]:(((c @ X3 @ (esk13_3 @ esk19_0 @ X4 @ X3))|(X4 @ esk20_0)|~((a @ esk19_0 @ X3)))), inference(spm,[status(thm)],[c_0_73, c_0_29])). 0.88/0.61 thf(c_0_78, plain, ![X3:$i, X14:$i]:((~((ws @ a @ (esk12_2 @ X3 @ X14)))|~((priorG @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_74])). 0.88/0.61 thf(c_0_79, negated_conjecture, ![X3:$i]:(((ws @ a @ X3)|~((c @ X3 @ esk20_0)))), inference(spm,[status(thm)],[c_0_75, c_0_52])). 0.88/0.61 thf(c_0_80, negated_conjecture, ![X3:$i]:(((c @ X3 @ esk20_0)|~((a @ esk19_0 @ X3)))), inference(spm,[status(thm)],[c_0_76, c_0_77])). 0.88/0.61 thf(c_0_81, plain, ![X14:$i, X3:$i]:(((a @ X3 @ (esk12_2 @ X14 @ X3))|~((priorG @ X14 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_74])). 0.88/0.61 thf(c_0_82, negated_conjecture, ![X3:$i, X14:$i]:((~((c @ (esk12_2 @ X3 @ X14) @ esk20_0))|~((priorG @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_78, c_0_79])). 0.88/0.61 thf(c_0_83, negated_conjecture, ![X3:$i]:(((c @ (esk12_2 @ X3 @ esk19_0) @ esk20_0)|~((priorG @ X3 @ esk19_0)))), inference(spm,[status(thm)],[c_0_80, c_0_81])). 0.88/0.61 thf(c_0_84, negated_conjecture, ![X3:$i]:(~((priorG @ X3 @ esk19_0))), inference(spm,[status(thm)],[c_0_82, c_0_83])). 0.88/0.61 thf(c_0_85, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_63, c_0_84]), ['proof']). 0.88/0.61 # SZS output end CNFRefutation 0.88/0.61 # Parsed axioms : 106 0.88/0.61 # Removed by relevancy pruning/SinE : 0 0.88/0.61 # Initial clauses : 97 0.88/0.61 # Removed in clause preprocessing : 39 0.88/0.61 # Initial clauses in saturation : 58 0.88/0.61 # Processed clauses : 372 0.88/0.61 # ...of these trivial : 0 0.88/0.61 # ...subsumed : 25 0.88/0.61 # ...remaining for further processing : 347 0.88/0.61 # Other redundant clauses eliminated : 0 0.88/0.61 # Clauses deleted for lack of memory : 0 0.88/0.61 # Backward-subsumed : 20 0.88/0.61 # Backward-rewritten : 21 0.88/0.61 # Generated clauses : 2019 0.88/0.61 # ...of the previous two non-redundant : 1924 0.88/0.61 # ...aggressively subsumed : 0 0.88/0.61 # Contextual simplify-reflections : 0 0.88/0.61 # Paramodulations : 2018 0.88/0.61 # Factorizations : 0 0.88/0.61 # NegExts : 0 0.88/0.61 # Equation resolutions : 0 0.88/0.61 # Disequality decompositions : 0 0.88/0.61 # Total rewrite steps : 152 0.88/0.61 # ...of those cached : 138 0.88/0.61 # Propositional unsat checks : 0 0.88/0.61 # Propositional check models : 0 0.88/0.61 # Propositional check unsatisfiable : 0 0.88/0.61 # Propositional clauses : 0 0.88/0.61 # Propositional clauses after purity: 0 0.88/0.61 # Propositional unsat core size : 0 0.88/0.61 # Propositional preprocessing time : 0.000 0.88/0.61 # Propositional encoding time : 0.000 0.88/0.61 # Propositional solver time : 0.000 0.88/0.61 # Success case prop preproc time : 0.000 0.88/0.61 # Success case prop encoding time : 0.000 0.88/0.61 # Success case prop solver time : 0.000 0.88/0.61 # Current number of processed clauses : 247 0.88/0.61 # Positive orientable unit clauses : 11 0.88/0.61 # Positive unorientable unit clauses: 0 0.88/0.61 # Negative unit clauses : 6 0.88/0.61 # Non-unit-clauses : 230 0.88/0.61 # Current number of unprocessed clauses: 1643 0.88/0.61 # ...number of literals in the above : 8336 0.88/0.61 # Current number of archived formulas : 0 0.88/0.61 # Current number of archived clauses : 100 0.88/0.61 # Clause-clause subsumption calls (NU) : 15565 0.88/0.61 # Rec. Clause-clause subsumption calls : 5332 0.88/0.61 # Non-unit clause-clause subsumptions : 38 0.88/0.61 # Unit Clause-clause subsumption calls : 174 0.88/0.61 # Rewrite failures with RHS unbound : 0 0.88/0.61 # BW rewrite match attempts : 7 0.88/0.61 # BW rewrite match successes : 6 0.88/0.61 # Condensation attempts : 372 0.88/0.61 # Condensation successes : 0 0.88/0.61 # Termbank termtop insertions : 73410 0.88/0.61 # Search garbage collected termcells : 5922 0.88/0.61 0.88/0.61 # ------------------------------------------------- 0.88/0.61 # User time : 0.092 s 0.88/0.61 # System time : 0.011 s 0.88/0.61 # Total time : 0.103 s 0.88/0.61 # Maximum resident set size: 2924 pages 0.88/0.61 0.88/0.61 # ------------------------------------------------- 0.88/0.61 # User time : 0.420 s 0.88/0.61 # System time : 0.037 s 0.88/0.61 # Total time : 0.457 s 0.88/0.61 # Maximum resident set size: 1828 pages 0.88/0.61 % E exiting 0.88/0.61 % E exiting 0.88/0.61 EOF