0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E %s %d THM 0.12/0.33 % Computer : n021.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 : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 10:20:09 EDT 2024 0.12/0.33 % CPUTime : 0.20/0.48 Running higher-order theorem proving 0.20/0.49 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.KBpaGGeYIM/E---3.1_10211.p 1.04/0.62 # Version: 3.2.0-ho 1.04/0.62 # Preprocessing class: HSMSSMSSMLLNHSN. 1.04/0.62 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.04/0.62 # Starting new_ho_10_cnf2 with 900s (5) cores 1.04/0.62 # Starting post_as_ho3 with 180s (1) cores 1.04/0.62 # Starting new_ho_12 with 180s (1) cores 1.04/0.62 # Starting new_bool_2 with 180s (1) cores 1.04/0.62 # new_ho_10_cnf2 with pid 10294 completed with status 0 1.04/0.62 # Result found by new_ho_10_cnf2 1.04/0.62 # Preprocessing class: HSMSSMSSMLLNHSN. 1.04/0.62 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.04/0.62 # Starting new_ho_10_cnf2 with 900s (5) cores 1.04/0.62 # No SInE strategy applied 1.04/0.62 # Search class: HGHNF-FFMS32-SHSSMMBN 1.04/0.62 # partial match(2): HGUNF-FFSS32-SHSSMMBN 1.04/0.62 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 1.04/0.62 # Starting sh3 with 487s (1) cores 1.04/0.62 # Starting new_ho_10_cnf2 with 91s (1) cores 1.04/0.62 # Starting lpo1_def_fix with 82s (1) cores 1.04/0.62 # Starting ehoh_best8_lambda with 82s (1) cores 1.04/0.62 # Starting sh4l with 82s (1) cores 1.04/0.62 # new_ho_10_cnf2 with pid 10305 completed with status 0 1.04/0.62 # Result found by new_ho_10_cnf2 1.04/0.62 # Preprocessing class: HSMSSMSSMLLNHSN. 1.04/0.62 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.04/0.62 # Starting new_ho_10_cnf2 with 900s (5) cores 1.04/0.62 # No SInE strategy applied 1.04/0.62 # Search class: HGHNF-FFMS32-SHSSMMBN 1.04/0.62 # partial match(2): HGUNF-FFSS32-SHSSMMBN 1.04/0.62 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 1.04/0.62 # Starting sh3 with 487s (1) cores 1.04/0.62 # Starting new_ho_10_cnf2 with 91s (1) cores 1.04/0.62 # Preprocessing time : 0.003 s 1.04/0.62 # Presaturation interreduction done 1.04/0.62 1.04/0.62 # Proof found! 1.04/0.62 # SZS status Theorem 1.04/0.62 # SZS output start CNFRefutation 1.04/0.62 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 1.04/0.62 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 1.04/0.62 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 1.04/0.62 thf(decl_32, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 1.04/0.62 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 1.04/0.62 thf(decl_49, type, mvalid: ($i > $o) > $o). 1.04/0.62 thf(decl_53, type, a: $i > $i > $o). 1.04/0.62 thf(decl_54, type, b: $i > $i > $o). 1.04/0.62 thf(decl_55, type, c: $i > $i > $o). 1.04/0.62 thf(decl_56, type, fool: $i > $i > $o). 1.04/0.62 thf(decl_57, type, ws: ($i > $i > $o) > $i > $o). 1.04/0.62 thf(decl_58, type, priorG: $i > $i > $o). 1.04/0.62 thf(decl_61, type, esk2_0: $i). 1.04/0.62 thf(decl_62, type, esk3_0: $i). 1.04/0.62 thf(decl_63, type, esk4_0: $i). 1.04/0.62 thf(decl_64, type, esk5_0: $i). 1.04/0.62 thf(decl_65, type, esk6_0: $i). 1.04/0.62 thf(decl_67, type, esk8_3: $i > $i > $i > $i). 1.04/0.62 thf(decl_68, type, esk9_2: $i > ($i > $o) > $i). 1.04/0.62 thf(decl_72, type, esk13_2: $i > $i > $i). 1.04/0.62 thf(decl_73, type, esk14_3: $i > ($i > $o) > $i > $i). 1.04/0.62 thf(decl_77, type, esk18_3: $i > ($i > $o) > $i > $i). 1.04/0.62 thf(decl_81, type, esk22_2: $i > ($i > $o) > $i). 1.04/0.62 thf(decl_82, type, esk23_2: $i > ($i > $o) > $i). 1.04/0.62 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', mimplies)). 1.04/0.62 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', mnot)). 1.04/0.62 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', mor)). 1.04/0.62 thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', mforall_prop)). 1.04/0.62 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', mbox)). 1.04/0.62 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', mvalid)). 1.04/0.62 thf(i_axiom_for_fool_c, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mbox @ fool @ X6) @ (mbox @ c @ X6))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', i_axiom_for_fool_c)). 1.04/0.62 thf(conj, conjecture, (mvalid @ (mbox @ priorG @ (mbox @ priorG @ (mbox @ priorG @ (mbox @ c @ (ws @ c)))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', conj)). 1.04/0.62 thf(axiom_1, axiom, (mvalid @ (mbox @ fool @ (mor @ (ws @ a) @ (mor @ (ws @ b) @ (ws @ c))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', axiom_1)). 1.04/0.62 thf(axiom_3_b_c, axiom, (mvalid @ (mbox @ fool @ (mimplies @ (mnot @ (ws @ b)) @ (mbox @ c @ (mnot @ (ws @ b)))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', axiom_3_b_c)). 1.04/0.62 thf(t_axiom_for_fool, axiom, (mvalid @ (mforall_prop @ (^[X19:$i > $o]:(mimplies @ (mbox @ fool @ X19) @ X19)))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', t_axiom_for_fool)). 1.04/0.62 thf(a6_axiom_for_fool_c_b, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mnot @ (mbox @ c @ X6)) @ (mbox @ b @ (mnot @ (mbox @ c @ X6))))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', a6_axiom_for_fool_c_b)). 1.04/0.62 thf(axiom_5, axiom, (mvalid @ (mbox @ priorG @ (mbox @ priorG @ (mnot @ (mbox @ b @ (ws @ b)))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', axiom_5)). 1.04/0.62 thf(i_axiom_for_fool_a, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mbox @ fool @ X6) @ (mbox @ a @ X6))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', i_axiom_for_fool_a)). 1.04/0.62 thf(axiom_4, axiom, (mvalid @ (mbox @ priorG @ (mnot @ (mbox @ a @ (ws @ a))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', axiom_4)). 1.04/0.62 thf(axiom_3_a_c, axiom, (mvalid @ (mbox @ fool @ (mimplies @ (mnot @ (ws @ a)) @ (mbox @ c @ (mnot @ (ws @ a)))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', axiom_3_a_c)). 1.04/0.62 thf(a6_axiom_for_fool_c_a, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mnot @ (mbox @ c @ X6)) @ (mbox @ a @ (mnot @ (mbox @ c @ X6))))))), file('/export/starexec/sandbox/tmp/tmp.KBpaGGeYIM/E---3.1_10211.p', a6_axiom_for_fool_c_a)). 1.04/0.62 thf(c_0_17, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 1.04/0.62 thf(c_0_18, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 1.04/0.62 thf(c_0_19, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 1.04/0.62 thf(c_0_20, 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_17, c_0_18]), c_0_19])). 1.04/0.62 thf(c_0_21, plain, ((mforall_prop)=(^[Z0/* 19 */:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])). 1.04/0.62 thf(c_0_22, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 1.04/0.62 thf(c_0_23, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 1.04/0.62 thf(c_0_24, plain, ![X56:$i, X55:$i > $o]:((~(![X53:$i]:((~(fool @ X56 @ X53)|(X55 @ X53))))|![X54:$i]:((~(c @ X56 @ X54)|(X55 @ X54))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[i_axiom_for_fool_c]), c_0_20]), c_0_21]), c_0_22]), c_0_23])])). 1.04/0.62 thf(c_0_25, negated_conjecture, ~(![X37:$i, X36:$i]:((~(priorG @ X37 @ X36)|![X35:$i]:((~(priorG @ X36 @ X35)|![X34:$i]:((~(priorG @ X35 @ X34)|![X33:$i]:((~(c @ X34 @ X33)|(ws @ c @ X33)))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]), c_0_22]), c_0_23])])). 1.04/0.62 thf(c_0_26, plain, ![X187:$i, X188:$i > $o, X190:$i]:((((fool @ X187 @ (esk9_2 @ X187 @ X188))|(~(c @ X187 @ X190)|(X188 @ X190)))&(~(X188 @ (esk9_2 @ X187 @ X188))|(~(c @ X187 @ X190)|(X188 @ X190))))), 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_24])])])])])])). 1.04/0.62 thf(c_0_27, negated_conjecture, ((priorG @ esk2_0 @ esk3_0)&((priorG @ esk3_0 @ esk4_0)&((priorG @ esk4_0 @ esk5_0)&((c @ esk5_0 @ esk6_0)&~(ws @ c @ esk6_0))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])). 1.04/0.62 thf(c_0_28, plain, ![X24:$i, X23:$i]:((~(fool @ X24 @ X23)|((ws @ a @ X23)|((ws @ b @ X23)|(ws @ c @ X23))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_1, c_0_19]), c_0_22]), c_0_23])])). 1.04/0.62 thf(c_0_29, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((X4 @ X14)|~((X4 @ (esk9_2 @ X3 @ X4)))|~((c @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_26])). 1.04/0.62 thf(c_0_30, negated_conjecture, (c @ esk5_0 @ esk6_0), inference(split_conjunct,[status(thm)],[c_0_27])). 1.04/0.62 thf(c_0_31, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((fool @ X3 @ (esk9_2 @ X3 @ X4))|(X4 @ X14)|~((c @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_26])). 1.04/0.62 thf(c_0_32, plain, ![X48:$i, X47:$i]:((~(fool @ X48 @ X47)|((ws @ b @ X47)|![X46:$i]:((~(c @ X47 @ X46)|~(ws @ b @ X46)))))), 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_18]), c_0_20]), c_0_22]), c_0_23])])). 1.04/0.62 thf(c_0_33, plain, ![X157:$i, X158:$i]:((~(fool @ X157 @ X158)|((ws @ a @ X158)|((ws @ b @ X158)|(ws @ c @ X158))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_28])])). 1.04/0.62 thf(c_0_34, negated_conjecture, ![X4:$i > $o]:(((X4 @ esk6_0)|~((X4 @ (esk9_2 @ esk5_0 @ X4))))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 1.04/0.62 thf(c_0_35, negated_conjecture, ![X4:$i > $o]:(((fool @ esk5_0 @ (esk9_2 @ esk5_0 @ X4))|(X4 @ esk6_0))), inference(spm,[status(thm)],[c_0_31, c_0_30])). 1.04/0.62 thf(c_0_36, plain, ![X145:$i, X144:$i > $o]:((~(![X143:$i]:((~(fool @ X145 @ X143)|(X144 @ X143))))|(X144 @ X145))), 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_20]), c_0_21]), c_0_22]), c_0_23])])). 1.04/0.62 thf(c_0_37, plain, ![X126:$i, X125:$i > $o]:((~(~(![X122:$i]:((~(c @ X126 @ X122)|(X125 @ X122)))))|![X124:$i]:((~(b @ X126 @ X124)|~(![X123:$i]:((~(c @ X124 @ X123)|(X125 @ X123)))))))), 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_18]), c_0_20]), c_0_21]), c_0_22]), c_0_23])])). 1.04/0.62 thf(c_0_38, plain, ![X180:$i, X181:$i, X182:$i]:((~(fool @ X180 @ X181)|((ws @ b @ X181)|(~(c @ X181 @ X182)|~(ws @ b @ X182))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_32])])])). 1.04/0.62 thf(c_0_39, plain, ![X3:$i, X14:$i]:(((ws @ a @ X14)|(ws @ b @ X14)|(ws @ c @ X14)|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_33])). 1.04/0.62 thf(c_0_40, negated_conjecture, (fool @ esk5_0 @ esk6_0), inference(spm,[status(thm)],[c_0_34, c_0_35])). 1.04/0.62 thf(c_0_41, negated_conjecture, ~((ws @ c @ esk6_0)), inference(split_conjunct,[status(thm)],[c_0_27])). 1.04/0.62 thf(c_0_42, plain, ![X277:$i, X278:$i > $o]:((((fool @ X277 @ (esk22_2 @ X277 @ X278))|(X278 @ X277))&(~(X278 @ (esk22_2 @ X277 @ X278))|(X278 @ X277)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])])). 1.04/0.62 thf(c_0_43, plain, ![X256:$i, X257:$i > $o, X258:$i, X259:$i]:((((c @ X259 @ (esk18_3 @ X256 @ X257 @ X259))|~(b @ X256 @ X259)|(~(c @ X256 @ X258)|(X257 @ X258)))&(~(X257 @ (esk18_3 @ X256 @ X257 @ X259))|~(b @ X256 @ X259)|(~(c @ X256 @ X258)|(X257 @ X258))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])])])). 1.04/0.62 thf(c_0_44, plain, ![X52:$i, X51:$i]:((~(priorG @ X52 @ X51)|![X50:$i]:((~(priorG @ X51 @ X50)|~(![X49:$i]:((~(b @ X50 @ X49)|(ws @ b @ X49)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_5, c_0_18]), c_0_22]), c_0_23])])). 1.04/0.62 thf(c_0_45, plain, ![X14:$i, X3:$i, X15:$i]:(((ws @ b @ X14)|~((fool @ X3 @ X14))|~((c @ X14 @ X15))|~((ws @ b @ X15)))), inference(split_conjunct,[status(thm)],[c_0_38])). 1.04/0.62 thf(c_0_46, negated_conjecture, ((ws @ b @ esk6_0)|(ws @ a @ esk6_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])). 1.04/0.62 thf(c_0_47, plain, ![X3:$i, X4:$i > $o]:(((X4 @ X3)|~((X4 @ (esk22_2 @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_42])). 1.04/0.62 thf(c_0_48, plain, ![X4:$i > $o, X3:$i]:(((fool @ X3 @ (esk22_2 @ X3 @ X4))|(X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_42])). 1.04/0.62 thf(c_0_49, plain, ![X14:$i, X3:$i, X4:$i > $o, X15:$i]:(((X4 @ X15)|~((X4 @ (esk18_3 @ X3 @ X4 @ X14)))|~((b @ X3 @ X14))|~((c @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_43])). 1.04/0.62 thf(c_0_50, plain, ![X14:$i, X4:$i > $o, X3:$i, X15:$i]:(((c @ X3 @ (esk18_3 @ X14 @ X4 @ X3))|(X4 @ X15)|~((b @ X14 @ X3))|~((c @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_43])). 1.04/0.62 thf(c_0_51, plain, ![X183:$i, X184:$i, X185:$i]:((((b @ X185 @ (esk8_3 @ X183 @ X184 @ X185))|~(priorG @ X184 @ X185)|~(priorG @ X183 @ X184))&(~(ws @ b @ (esk8_3 @ X183 @ X184 @ X185))|~(priorG @ X184 @ X185)|~(priorG @ X183 @ X184)))), 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_44])])])])])])). 1.04/0.62 thf(c_0_52, negated_conjecture, ![X14:$i, X3:$i]:(((ws @ a @ esk6_0)|(ws @ b @ X3)|~((c @ X3 @ esk6_0))|~((fool @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 1.04/0.62 thf(c_0_53, plain, ![X3:$i]:((fool @ X3 @ X3)), inference(spm,[status(thm)],[c_0_47, c_0_48])). 1.04/0.62 thf(c_0_54, negated_conjecture, ![X4:$i > $o, X3:$i]:(((X4 @ esk6_0)|~((X4 @ (esk18_3 @ esk5_0 @ X4 @ X3)))|~((b @ esk5_0 @ X3)))), inference(spm,[status(thm)],[c_0_49, c_0_30])). 1.04/0.62 thf(c_0_55, negated_conjecture, ![X4:$i > $o, X3:$i]:(((c @ X3 @ (esk18_3 @ esk5_0 @ X4 @ X3))|(X4 @ esk6_0)|~((b @ esk5_0 @ X3)))), inference(spm,[status(thm)],[c_0_50, c_0_30])). 1.04/0.62 thf(c_0_56, plain, ![X149:$i, X148:$i > $o]:((~(![X146:$i]:((~(fool @ X149 @ X146)|(X148 @ X146))))|![X147:$i]:((~(a @ X149 @ X147)|(X148 @ X147))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[i_axiom_for_fool_a]), c_0_20]), c_0_21]), c_0_22]), c_0_23])])). 1.04/0.62 thf(c_0_57, plain, ![X77:$i, X76:$i]:((~(priorG @ X77 @ X76)|~(![X75:$i]:((~(a @ X76 @ X75)|(ws @ a @ X75)))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_4, c_0_18]), c_0_22]), c_0_23])])). 1.04/0.62 thf(c_0_58, plain, ![X15:$i, X3:$i, X14:$i]:((~((ws @ b @ (esk8_3 @ X3 @ X14 @ X15)))|~((priorG @ X14 @ X15))|~((priorG @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_51])). 1.04/0.62 thf(c_0_59, negated_conjecture, ![X3:$i]:(((ws @ a @ esk6_0)|(ws @ b @ X3)|~((c @ X3 @ esk6_0)))), inference(spm,[status(thm)],[c_0_52, c_0_53])). 1.04/0.62 thf(c_0_60, negated_conjecture, ![X3:$i]:(((c @ X3 @ esk6_0)|~((b @ esk5_0 @ X3)))), inference(spm,[status(thm)],[c_0_54, c_0_55])). 1.04/0.62 thf(c_0_61, plain, ![X14:$i, X3:$i, X15:$i]:(((b @ X3 @ (esk8_3 @ X14 @ X15 @ X3))|~((priorG @ X15 @ X3))|~((priorG @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_51])). 1.04/0.62 thf(c_0_62, plain, ![X280:$i, X281:$i > $o, X283:$i]:((((fool @ X280 @ (esk23_2 @ X280 @ X281))|(~(a @ X280 @ X283)|(X281 @ X283)))&(~(X281 @ (esk23_2 @ X280 @ X281))|(~(a @ X280 @ X283)|(X281 @ X283))))), 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_56])])])])])])). 1.04/0.62 thf(c_0_63, plain, ![X209:$i, X210:$i]:((((a @ X210 @ (esk13_2 @ X209 @ X210))|~(priorG @ X209 @ X210))&(~(ws @ a @ (esk13_2 @ X209 @ X210))|~(priorG @ X209 @ X210)))), 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_57])])])])])). 1.04/0.62 thf(c_0_64, negated_conjecture, ![X15:$i, X3:$i, X14:$i]:(((ws @ a @ esk6_0)|~((c @ (esk8_3 @ X3 @ X14 @ X15) @ esk6_0))|~((priorG @ X14 @ X15))|~((priorG @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_58, c_0_59])). 1.04/0.62 thf(c_0_65, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk8_3 @ X3 @ X14 @ esk5_0) @ esk6_0)|~((priorG @ X14 @ esk5_0))|~((priorG @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_60, c_0_61])). 1.04/0.62 thf(c_0_66, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((fool @ X3 @ (esk23_2 @ X3 @ X4))|(X4 @ X14)|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_62])). 1.04/0.62 thf(c_0_67, plain, ![X14:$i, X3:$i]:(((a @ X3 @ (esk13_2 @ X14 @ X3))|~((priorG @ X14 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_63])). 1.04/0.62 thf(c_0_68, plain, ![X90:$i, X89:$i]:((~(fool @ X90 @ X89)|((ws @ a @ X89)|![X88:$i]:((~(c @ X89 @ X88)|~(ws @ a @ X88)))))), 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_18]), c_0_20]), c_0_22]), c_0_23])])). 1.04/0.62 thf(c_0_69, negated_conjecture, ![X14:$i, X3:$i]:(((ws @ a @ esk6_0)|~((priorG @ X3 @ esk5_0))|~((priorG @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_64, c_0_65])). 1.04/0.62 thf(c_0_70, negated_conjecture, (priorG @ esk4_0 @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_27])). 1.04/0.62 thf(c_0_71, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((X4 @ X14)|~((X4 @ (esk23_2 @ X3 @ X4)))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_62])). 1.04/0.62 thf(c_0_72, plain, ![X14:$i, X4:$i > $o, X3:$i]:(((fool @ X3 @ (esk23_2 @ X3 @ X4))|(X4 @ (esk13_2 @ X14 @ X3))|~((priorG @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_66, c_0_67])). 1.04/0.62 thf(c_0_73, plain, ![X82:$i, X81:$i > $o]:((~(~(![X78:$i]:((~(c @ X82 @ X78)|(X81 @ X78)))))|![X80:$i]:((~(a @ X82 @ X80)|~(![X79:$i]:((~(c @ X80 @ X79)|(X81 @ X79)))))))), 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_18]), c_0_20]), c_0_21]), c_0_22]), c_0_23])])). 1.04/0.62 thf(c_0_74, plain, ![X222:$i, X223:$i, X224:$i]:((~(fool @ X222 @ X223)|((ws @ a @ X223)|(~(c @ X223 @ X224)|~(ws @ a @ X224))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_68])])])). 1.04/0.62 thf(c_0_75, negated_conjecture, ![X3:$i]:(((ws @ a @ esk6_0)|~((priorG @ X3 @ esk4_0)))), inference(spm,[status(thm)],[c_0_69, c_0_70])). 1.04/0.62 thf(c_0_76, negated_conjecture, (priorG @ esk3_0 @ esk4_0), inference(split_conjunct,[status(thm)],[c_0_27])). 1.04/0.62 thf(c_0_77, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((X4 @ (esk13_2 @ X3 @ X14))|~((X4 @ (esk23_2 @ X14 @ X4)))|~((priorG @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_71, c_0_67])). 1.04/0.62 thf(c_0_78, negated_conjecture, ![X4:$i > $o]:(((fool @ esk5_0 @ (esk23_2 @ esk5_0 @ X4))|(X4 @ (esk13_2 @ esk4_0 @ esk5_0)))), inference(spm,[status(thm)],[c_0_72, c_0_70])). 1.04/0.62 thf(c_0_79, plain, ![X212:$i, X213:$i > $o, X214:$i, X215:$i]:((((c @ X215 @ (esk14_3 @ X212 @ X213 @ X215))|~(a @ X212 @ X215)|(~(c @ X212 @ X214)|(X213 @ X214)))&(~(X213 @ (esk14_3 @ X212 @ X213 @ X215))|~(a @ X212 @ X215)|(~(c @ X212 @ X214)|(X213 @ X214))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])])])])])). 1.04/0.62 thf(c_0_80, plain, ![X14:$i, X3:$i, X15:$i]:(((ws @ a @ X14)|~((fool @ X3 @ X14))|~((c @ X14 @ X15))|~((ws @ a @ X15)))), inference(split_conjunct,[status(thm)],[c_0_74])). 1.04/0.62 thf(c_0_81, negated_conjecture, (ws @ a @ esk6_0), inference(spm,[status(thm)],[c_0_75, c_0_76])). 1.04/0.62 thf(c_0_82, negated_conjecture, ![X3:$i]:(((fool @ esk5_0 @ (esk13_2 @ esk4_0 @ esk5_0))|(fool @ esk5_0 @ (esk13_2 @ X3 @ esk5_0))|~((priorG @ X3 @ esk5_0)))), inference(spm,[status(thm)],[c_0_77, c_0_78])). 1.04/0.62 thf(c_0_83, plain, ![X14:$i, X3:$i, X4:$i > $o, X15:$i]:(((X4 @ X15)|~((X4 @ (esk14_3 @ X3 @ X4 @ X14)))|~((a @ X3 @ X14))|~((c @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_79])). 1.04/0.62 thf(c_0_84, plain, ![X14:$i, X4:$i > $o, X3:$i, X15:$i]:(((c @ X3 @ (esk14_3 @ X14 @ X4 @ X3))|(X4 @ X15)|~((a @ X14 @ X3))|~((c @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_79])). 1.04/0.62 thf(c_0_85, negated_conjecture, ![X14:$i, X3:$i]:(((ws @ a @ X3)|~((c @ X3 @ esk6_0))|~((fool @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_80, c_0_81])). 1.04/0.62 thf(c_0_86, negated_conjecture, (fool @ esk5_0 @ (esk13_2 @ esk4_0 @ esk5_0)), inference(spm,[status(thm)],[c_0_82, c_0_70])). 1.04/0.62 thf(c_0_87, negated_conjecture, ![X4:$i > $o, X3:$i]:(((X4 @ esk6_0)|~((X4 @ (esk14_3 @ esk5_0 @ X4 @ X3)))|~((a @ esk5_0 @ X3)))), inference(spm,[status(thm)],[c_0_83, c_0_30])). 1.04/0.62 thf(c_0_88, negated_conjecture, ![X4:$i > $o, X3:$i]:(((c @ X3 @ (esk14_3 @ esk5_0 @ X4 @ X3))|(X4 @ esk6_0)|~((a @ esk5_0 @ X3)))), inference(spm,[status(thm)],[c_0_84, c_0_30])). 1.04/0.62 thf(c_0_89, plain, ![X3:$i, X14:$i]:((~((ws @ a @ (esk13_2 @ X3 @ X14)))|~((priorG @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_63])). 1.04/0.62 thf(c_0_90, negated_conjecture, ((ws @ a @ (esk13_2 @ esk4_0 @ esk5_0))|~((c @ (esk13_2 @ esk4_0 @ esk5_0) @ esk6_0))), inference(spm,[status(thm)],[c_0_85, c_0_86])). 1.04/0.62 thf(c_0_91, negated_conjecture, ![X3:$i]:(((c @ X3 @ esk6_0)|~((a @ esk5_0 @ X3)))), inference(spm,[status(thm)],[c_0_87, c_0_88])). 1.04/0.62 thf(c_0_92, negated_conjecture, ~((c @ (esk13_2 @ esk4_0 @ esk5_0) @ esk6_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_70])])). 1.04/0.62 thf(c_0_93, negated_conjecture, ![X3:$i]:(((c @ (esk13_2 @ X3 @ esk5_0) @ esk6_0)|~((priorG @ X3 @ esk5_0)))), inference(spm,[status(thm)],[c_0_91, c_0_67])). 1.04/0.62 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_70])]), ['proof']). 1.04/0.62 # SZS output end CNFRefutation 1.04/0.62 # Parsed axioms : 106 1.04/0.62 # Removed by relevancy pruning/SinE : 0 1.04/0.62 # Initial clauses : 97 1.04/0.62 # Removed in clause preprocessing : 39 1.04/0.62 # Initial clauses in saturation : 58 1.04/0.62 # Processed clauses : 374 1.04/0.62 # ...of these trivial : 0 1.04/0.62 # ...subsumed : 25 1.04/0.62 # ...remaining for further processing : 349 1.04/0.62 # Other redundant clauses eliminated : 0 1.04/0.62 # Clauses deleted for lack of memory : 0 1.04/0.62 # Backward-subsumed : 18 1.04/0.62 # Backward-rewritten : 19 1.04/0.62 # Generated clauses : 2052 1.04/0.62 # ...of the previous two non-redundant : 1958 1.04/0.62 # ...aggressively subsumed : 0 1.04/0.62 # Contextual simplify-reflections : 0 1.04/0.62 # Paramodulations : 2052 1.04/0.62 # Factorizations : 0 1.04/0.62 # NegExts : 0 1.04/0.62 # Equation resolutions : 0 1.04/0.62 # Disequality decompositions : 0 1.04/0.62 # Total rewrite steps : 153 1.04/0.62 # ...of those cached : 139 1.04/0.62 # Propositional unsat checks : 0 1.04/0.62 # Propositional check models : 0 1.04/0.62 # Propositional check unsatisfiable : 0 1.04/0.62 # Propositional clauses : 0 1.04/0.62 # Propositional clauses after purity: 0 1.04/0.62 # Propositional unsat core size : 0 1.04/0.62 # Propositional preprocessing time : 0.000 1.04/0.62 # Propositional encoding time : 0.000 1.04/0.62 # Propositional solver time : 0.000 1.04/0.62 # Success case prop preproc time : 0.000 1.04/0.62 # Success case prop encoding time : 0.000 1.04/0.62 # Success case prop solver time : 0.000 1.04/0.62 # Current number of processed clauses : 254 1.04/0.62 # Positive orientable unit clauses : 12 1.04/0.62 # Positive unorientable unit clauses: 0 1.04/0.62 # Negative unit clauses : 6 1.04/0.62 # Non-unit-clauses : 236 1.04/0.62 # Current number of unprocessed clauses: 1671 1.04/0.62 # ...number of literals in the above : 8434 1.04/0.62 # Current number of archived formulas : 0 1.04/0.62 # Current number of archived clauses : 95 1.04/0.62 # Clause-clause subsumption calls (NU) : 11619 1.04/0.62 # Rec. Clause-clause subsumption calls : 4116 1.04/0.62 # Non-unit clause-clause subsumptions : 40 1.04/0.62 # Unit Clause-clause subsumption calls : 94 1.04/0.62 # Rewrite failures with RHS unbound : 0 1.04/0.62 # BW rewrite match attempts : 7 1.04/0.62 # BW rewrite match successes : 6 1.04/0.62 # Condensation attempts : 374 1.04/0.62 # Condensation successes : 0 1.04/0.62 # Termbank termtop insertions : 69488 1.04/0.62 # Search garbage collected termcells : 5922 1.04/0.62 1.04/0.62 # ------------------------------------------------- 1.04/0.62 # User time : 0.112 s 1.04/0.62 # System time : 0.007 s 1.04/0.62 # Total time : 0.119 s 1.04/0.62 # Maximum resident set size: 2908 pages 1.04/0.62 1.04/0.62 # ------------------------------------------------- 1.04/0.62 # User time : 0.516 s 1.04/0.62 # System time : 0.037 s 1.04/0.62 # Total time : 0.553 s 1.04/0.62 # Maximum resident set size: 1820 pages 1.04/0.62 % E---3.1 exiting 1.04/0.63 % E exiting 1.04/0.63 EOF