0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.18/0.43 % Computer : n028.cluster.edu 0.18/0.43 % Model : x86_64 x86_64 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.43 % Memory : 8046.5625MB 0.18/0.43 % OS : Linux 6.8.0-71-generic 0.18/0.44 % CPULimit : 1440 0.18/0.44 % WCLimit : 180 0.18/0.44 % DateTime : Mon Jul 27 13:08:47 UTC 2026 0.18/0.44 % CPUTime : 0.18/0.44 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.18/0.51 Running higher-order theorem proving 0.27/0.56 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.5f3qoMnLh3/E---3.1_2831054.p 35.60/6.67 % Version: 3.5.1-ho 35.60/6.67 % Preprocessing class: HSLSSMSSMLLNHSN. 35.60/6.67 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 35.60/6.67 % Starting almost_fo_3 with 900s (5) cores 35.60/6.67 % Starting sh10 with 180s (1) cores 35.60/6.67 % Starting new_ho_16 with 180s (1) cores 35.60/6.67 % Starting post_as_ho11 with 180s (1) cores 35.60/6.67 % new_ho_16 with pid 2831069 completed with status 9 35.60/6.67 % almost_fo_3 with pid 2831067 completed with status 0 35.60/6.67 % Result found by almost_fo_3 35.60/6.67 % Preprocessing class: HSLSSMSSMLLNHSN. 35.60/6.67 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 35.60/6.67 % Starting almost_fo_3 with 900s (5) cores 35.60/6.67 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 35.60/6.67 % No SInE strategy applied 35.60/6.67 % Search class: HGUNM-FSLF32-MHSSMFNN 35.60/6.67 % Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 35.60/6.67 % Starting SubtermCWHack with 91s (1) cores 35.60/6.67 % Starting almost_fo_3 with 197s (1) cores 35.60/6.67 % Starting ho_unfolding_7 with 197s (1) cores 35.60/6.67 % Starting new_bool_3 with 197s (1) cores 35.60/6.67 % Starting new_bool_1 with 197s (1) cores 35.60/6.67 % almost_fo_3 with pid 2831087 completed with status 0 35.60/6.67 % Result found by almost_fo_3 35.60/6.67 % Preprocessing class: HSLSSMSSMLLNHSN. 35.60/6.67 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 35.60/6.67 % Starting almost_fo_3 with 900s (5) cores 35.60/6.67 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 35.60/6.67 % No SInE strategy applied 35.60/6.67 % Search class: HGUNM-FSLF32-MHSSMFNN 35.60/6.67 % Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 35.60/6.67 % Starting SubtermCWHack with 91s (1) cores 35.60/6.67 % Starting almost_fo_3 with 197s (1) cores 35.60/6.67 % Preprocessing time : 0.014 s 35.60/6.67 % Presaturation interreduction done 35.60/6.67 35.60/6.67 % Proof found! 35.60/6.67 % SZS status Theorem 35.60/6.67 % SZS output start CNFRefutation 35.60/6.67 thf(decl_sort1, type, mu: $tType). 35.60/6.67 thf(decl_25, type, mnot: ($i > $o) > $i > $o). 35.60/6.67 thf(decl_26, type, mor: ($i > $o) > ($i > $o) > $i > $o). 35.60/6.67 thf(decl_31, type, mand: ($i > $o) > ($i > $o) > $i > $o). 35.60/6.67 thf(decl_32, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 35.60/6.67 thf(decl_37, type, exists_in_world: mu > $i > $o). 35.60/6.67 thf(decl_38, type, mforall_ind: (mu > $i > $o) > $i > $o). 35.60/6.67 thf(decl_41, type, mreflexive: ($i > $i > $o) > $o). 35.60/6.67 thf(decl_51, type, mvalid: ($i > $o) > $o). 35.60/6.67 thf(decl_55, type, rel_s4: $i > $i > $o). 35.60/6.67 thf(decl_56, type, mbox_s4: ($i > $o) > $i > $o). 35.60/6.67 thf(decl_75, type, and_1: $i > $o). 35.60/6.67 thf(decl_88, type, kn2: $i > $o). 35.60/6.67 thf(decl_89, type, is_a_theorem: mu > $i > $o). 35.60/6.67 thf(decl_92, type, implies: mu > mu > mu). 35.60/6.67 thf(decl_93, type, and: mu > mu > mu). 35.60/6.67 thf(decl_177, type, esk83_2: $i > $i > $i). 35.60/6.67 thf(decl_178, type, esk84_2: $i > $i > $i). 35.60/6.67 thf(decl_179, type, esk85_2: $i > $i > mu). 35.60/6.67 thf(decl_180, type, esk86_2: $i > $i > $i). 35.60/6.67 thf(decl_181, type, esk87_2: $i > $i > mu). 35.60/6.67 thf(decl_182, type, esk88_2: $i > $i > $i). 35.60/6.67 thf(decl_232, type, esk138_2: $i > $i > $i). 35.60/6.67 thf(decl_233, type, esk139_2: $i > $i > $i). 35.60/6.67 thf(decl_234, type, esk140_2: $i > $i > mu). 35.60/6.67 thf(decl_235, type, esk141_2: $i > $i > $i). 35.60/6.67 thf(decl_236, type, esk142_2: $i > $i > mu). 35.60/6.67 thf(decl_237, type, esk143_2: $i > $i > $i). 35.60/6.67 thf(decl_282, type, esk188_0: $i). 35.60/6.67 thf(decl_283, type, esk189_0: $i). 35.60/6.67 thf(mand, axiom, ((mand)=(^[X4:$i > $o, X5:$i > $o]:(mnot @ (mor @ (mnot @ X4) @ (mnot @ X5))))), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', mand)). 35.60/6.67 thf(mnot, axiom, ((mnot)=(^[X4:$i > $o, X3:$i]:(~((X4 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', mnot)). 35.60/6.67 thf(mor, axiom, ((mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:((((X4 @ X3))|((X5 @ X3)))))), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', mor)). 35.60/6.67 thf(mimplies, axiom, ((mimplies)=(^[X4:$i > $o, X5:$i > $o]:(mor @ (mnot @ X4) @ X5))), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', mimplies)). 35.60/6.67 thf(rosser_kn2, conjecture, (mvalid @ (mbox_s4 @ kn2)), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', rosser_kn2)). 35.60/6.67 thf(mvalid, axiom, ((mvalid)=(^[X4:$i > $o]:(![X3:$i]:((X4 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', mvalid)). 35.60/6.67 thf(mbox_s4, axiom, ((mbox_s4)=(^[X4:$i > $o, X3:$i]:(![X7:$i]:(((~((rel_s4 @ X3 @ X7)))|((X4 @ X7))))))), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', mbox_s4)). 35.60/6.67 thf(mforall_ind, axiom, ((mforall_ind)=(^[X10:mu > $i > $o, X3:$i]:(![X11:mu]:((((exists_in_world @ X11 @ X3))=>((X10 @ X11 @ X3))))))), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', mforall_ind)). 35.60/6.67 thf(mreflexive, axiom, ((mreflexive)=(^[X6:$i > $i > $o]:(![X15:$i]:((X6 @ X15 @ X15))))), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', mreflexive)). 35.60/6.67 thf(kn2, axiom, (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ kn2) @ (mbox_s4 @ (mforall_ind @ (^[X106:mu]:(mbox_s4 @ (mforall_ind @ (^[X26:mu]:(mbox_s4 @ (is_a_theorem @ (implies @ (and @ X106 @ X26) @ X106))))))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X107:mu]:(mbox_s4 @ (mforall_ind @ (^[X26:mu]:(mbox_s4 @ (is_a_theorem @ (implies @ (and @ X107 @ X26) @ X107))))))))) @ (mbox_s4 @ kn2))))), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', kn2)). 35.60/6.67 thf(and_1, axiom, (mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ and_1) @ (mbox_s4 @ (mforall_ind @ (^[X72:mu]:(mbox_s4 @ (mforall_ind @ (^[X73:mu]:(mbox_s4 @ (is_a_theorem @ (implies @ (and @ X72 @ X73) @ X72))))))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X74:mu]:(mbox_s4 @ (mforall_ind @ (^[X75:mu]:(mbox_s4 @ (is_a_theorem @ (implies @ (and @ X74 @ X75) @ X74))))))))) @ (mbox_s4 @ and_1))))), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', and_1)). 35.60/6.67 thf(hilbert_and_1, axiom, (mvalid @ (mbox_s4 @ and_1)), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', hilbert_and_1)). 35.60/6.67 thf(a1, axiom, (mreflexive @ rel_s4), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', a1)). 35.60/6.67 thf(cumulative_ax, axiom, ![X19:mu, X7:$i, X3:$i]:((((exists_in_world @ X19 @ X7)&(rel_s4 @ X7 @ X3))=>(exists_in_world @ X19 @ X3))), file('/export/starexec/sandbox/tmp/tmp.5f3qoMnLh3/E---3.1_2831054.p', cumulative_ax)). 35.60/6.67 thf(c_0_14, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~(((((~((Z0 @ Z2))))|((~((Z1 @ Z2)))))))))), inference(fof_simplification,[status(thm)],[mand])). 35.60/6.67 thf(c_0_15, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 35.60/6.67 thf(c_0_16, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mor])). 35.60/6.67 thf(c_0_17, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mimplies])). 35.60/6.67 thf(c_0_18, negated_conjecture, ~((mvalid @ (mbox_s4 @ kn2))), inference(assume_negation,[status(cth)],[rosser_kn2])). 35.60/6.67 thf(c_0_19, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 35.60/6.67 thf(c_0_20, plain, ((mbox_s4)=(^[Z0:$i > $o, Z1:$i]:(![X7:$i]:(((~((rel_s4 @ Z1 @ X7)))|((Z0 @ X7))))))), inference(fof_simplification,[status(thm)],[mbox_s4])). 35.60/6.67 thf(c_0_21, plain, ((mand)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(~(((((~((Z0 @ Z2))))|((~((Z1 @ Z2)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14, c_0_15]), c_0_16])). 35.60/6.67 thf(c_0_22, 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_17, c_0_15]), c_0_16])). 35.60/6.67 thf(c_0_23, plain, ((mforall_ind)=(^[Z0:mu > $i > $o, Z1:$i]:(![X11:mu]:((((exists_in_world @ X11 @ Z1))=>((Z0 @ X11 @ Z1))))))), inference(fof_simplification,[status(thm)],[mforall_ind])). 35.60/6.67 thf(c_0_24, plain, ((mreflexive)=(^[Z0:$i > $i > $o]:(![X15:$i]:((Z0 @ X15 @ X15))))), inference(fof_simplification,[status(thm)],[mreflexive])). 35.60/6.67 thf(c_0_25, negated_conjecture, ~(![X768:$i, X767:$i]:((~(rel_s4 @ X768 @ X767)|(kn2 @ X767)))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18, c_0_19]), c_0_20])])). 35.60/6.67 thf(c_0_26, plain, ![X606:$i]:(~((~(![X598:$i]:((~(rel_s4 @ X606 @ X598)|(~(![X592:$i]:((~(rel_s4 @ X598 @ X592)|(kn2 @ X592))))|![X597:$i]:((~(rel_s4 @ X598 @ X597)|![X596:mu]:(((exists_in_world @ X596 @ X597)=>![X595:$i]:((~(rel_s4 @ X597 @ X595)|![X594:mu]:(((exists_in_world @ X594 @ X595)=>![X593:$i]:((~(rel_s4 @ X595 @ X593)|(is_a_theorem @ (implies @ (and @ X596 @ X594) @ X596) @ X593)))))))))))))))|~(![X605:$i]:((~(rel_s4 @ X606 @ X605)|(~(![X603:$i]:((~(rel_s4 @ X605 @ X603)|![X602:mu]:(((exists_in_world @ X602 @ X603)=>![X601:$i]:((~(rel_s4 @ X603 @ X601)|![X600:mu]:(((exists_in_world @ X600 @ X601)=>![X599:$i]:((~(rel_s4 @ X601 @ X599)|(is_a_theorem @ (implies @ (and @ X602 @ X600) @ X602) @ X599))))))))))))|![X604:$i]:((~(rel_s4 @ X605 @ X604)|(kn2 @ X604)))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[kn2]), c_0_21]), c_0_22]), c_0_23]), c_0_19]), c_0_20])])). 35.60/6.67 thf(c_0_27, plain, ![X443:$i]:(~((~(![X435:$i]:((~(rel_s4 @ X443 @ X435)|(~(![X429:$i]:((~(rel_s4 @ X435 @ X429)|(and_1 @ X429))))|![X434:$i]:((~(rel_s4 @ X435 @ X434)|![X433:mu]:(((exists_in_world @ X433 @ X434)=>![X432:$i]:((~(rel_s4 @ X434 @ X432)|![X431:mu]:(((exists_in_world @ X431 @ X432)=>![X430:$i]:((~(rel_s4 @ X432 @ X430)|(is_a_theorem @ (implies @ (and @ X433 @ X431) @ X433) @ X430)))))))))))))))|~(![X442:$i]:((~(rel_s4 @ X443 @ X442)|(~(![X440:$i]:((~(rel_s4 @ X442 @ X440)|![X439:mu]:(((exists_in_world @ X439 @ X440)=>![X438:$i]:((~(rel_s4 @ X440 @ X438)|![X437:mu]:(((exists_in_world @ X437 @ X438)=>![X436:$i]:((~(rel_s4 @ X438 @ X436)|(is_a_theorem @ (implies @ (and @ X439 @ X437) @ X439) @ X436))))))))))))|![X441:$i]:((~(rel_s4 @ X442 @ X441)|(and_1 @ X441)))))))))), 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)],[and_1]), c_0_21]), c_0_22]), c_0_23]), c_0_19]), c_0_20])])). 35.60/6.67 thf(c_0_28, plain, ![X182:$i, X181:$i]:((~(rel_s4 @ X182 @ X181)|(and_1 @ X181))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[hilbert_and_1, c_0_19]), c_0_20])])). 35.60/6.67 thf(c_0_29, plain, ![X155:$i]:((rel_s4 @ X155 @ X155)), inference(apply_def,[status(thm)],[a1, c_0_24])). 35.60/6.67 thf(c_0_30, negated_conjecture, ((rel_s4 @ esk188_0 @ esk189_0)&~(kn2 @ esk189_0)), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])). 35.60/6.67 thf(c_0_31, plain, ![X1245:$i, X1246:$i, X1248:$i, X1249:mu, X1250:$i, X1251:mu, X1252:$i, X1253:$i, X1254:$i, X1260:$i]:(((((rel_s4 @ X1246 @ (esk138_2 @ X1245 @ X1246))|(~(rel_s4 @ X1246 @ X1248)|(~(exists_in_world @ X1249 @ X1248)|(~(rel_s4 @ X1248 @ X1250)|(~(exists_in_world @ X1251 @ X1250)|(~(rel_s4 @ X1250 @ X1252)|(is_a_theorem @ (implies @ (and @ X1249 @ X1251) @ X1249) @ X1252))))))|~(rel_s4 @ X1245 @ X1246))&(~(kn2 @ (esk138_2 @ X1245 @ X1246))|(~(rel_s4 @ X1246 @ X1248)|(~(exists_in_world @ X1249 @ X1248)|(~(rel_s4 @ X1248 @ X1250)|(~(exists_in_world @ X1251 @ X1250)|(~(rel_s4 @ X1250 @ X1252)|(is_a_theorem @ (implies @ (and @ X1249 @ X1251) @ X1249) @ X1252))))))|~(rel_s4 @ X1245 @ X1246)))&(((rel_s4 @ X1254 @ (esk139_2 @ X1253 @ X1254))|(~(rel_s4 @ X1254 @ X1260)|(kn2 @ X1260))|~(rel_s4 @ X1253 @ X1254))&(((exists_in_world @ (esk140_2 @ X1253 @ X1254) @ (esk139_2 @ X1253 @ X1254))|(~(rel_s4 @ X1254 @ X1260)|(kn2 @ X1260))|~(rel_s4 @ X1253 @ X1254))&(((rel_s4 @ (esk139_2 @ X1253 @ X1254) @ (esk141_2 @ X1253 @ X1254))|(~(rel_s4 @ X1254 @ X1260)|(kn2 @ X1260))|~(rel_s4 @ X1253 @ X1254))&(((exists_in_world @ (esk142_2 @ X1253 @ X1254) @ (esk141_2 @ X1253 @ X1254))|(~(rel_s4 @ X1254 @ X1260)|(kn2 @ X1260))|~(rel_s4 @ X1253 @ X1254))&(((rel_s4 @ (esk141_2 @ X1253 @ X1254) @ (esk143_2 @ X1253 @ X1254))|(~(rel_s4 @ X1254 @ X1260)|(kn2 @ X1260))|~(rel_s4 @ X1253 @ X1254))&(~(is_a_theorem @ (implies @ (and @ (esk140_2 @ X1253 @ X1254) @ (esk142_2 @ X1253 @ X1254)) @ (esk140_2 @ X1253 @ X1254)) @ (esk143_2 @ X1253 @ X1254))|(~(rel_s4 @ X1254 @ X1260)|(kn2 @ X1260))|~(rel_s4 @ X1253 @ X1254))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])])])])])). 35.60/6.67 thf(c_0_32, plain, ![X1071:$i, X1072:$i, X1074:$i, X1075:mu, X1076:$i, X1077:mu, X1078:$i, X1079:$i, X1080:$i, X1086:$i]:(((((rel_s4 @ X1072 @ (esk83_2 @ X1071 @ X1072))|(~(rel_s4 @ X1072 @ X1074)|(~(exists_in_world @ X1075 @ X1074)|(~(rel_s4 @ X1074 @ X1076)|(~(exists_in_world @ X1077 @ X1076)|(~(rel_s4 @ X1076 @ X1078)|(is_a_theorem @ (implies @ (and @ X1075 @ X1077) @ X1075) @ X1078))))))|~(rel_s4 @ X1071 @ X1072))&(~(and_1 @ (esk83_2 @ X1071 @ X1072))|(~(rel_s4 @ X1072 @ X1074)|(~(exists_in_world @ X1075 @ X1074)|(~(rel_s4 @ X1074 @ X1076)|(~(exists_in_world @ X1077 @ X1076)|(~(rel_s4 @ X1076 @ X1078)|(is_a_theorem @ (implies @ (and @ X1075 @ X1077) @ X1075) @ X1078))))))|~(rel_s4 @ X1071 @ X1072)))&(((rel_s4 @ X1080 @ (esk84_2 @ X1079 @ X1080))|(~(rel_s4 @ X1080 @ X1086)|(and_1 @ X1086))|~(rel_s4 @ X1079 @ X1080))&(((exists_in_world @ (esk85_2 @ X1079 @ X1080) @ (esk84_2 @ X1079 @ X1080))|(~(rel_s4 @ X1080 @ X1086)|(and_1 @ X1086))|~(rel_s4 @ X1079 @ X1080))&(((rel_s4 @ (esk84_2 @ X1079 @ X1080) @ (esk86_2 @ X1079 @ X1080))|(~(rel_s4 @ X1080 @ X1086)|(and_1 @ X1086))|~(rel_s4 @ X1079 @ X1080))&(((exists_in_world @ (esk87_2 @ X1079 @ X1080) @ (esk86_2 @ X1079 @ X1080))|(~(rel_s4 @ X1080 @ X1086)|(and_1 @ X1086))|~(rel_s4 @ X1079 @ X1080))&(((rel_s4 @ (esk86_2 @ X1079 @ X1080) @ (esk88_2 @ X1079 @ X1080))|(~(rel_s4 @ X1080 @ X1086)|(and_1 @ X1086))|~(rel_s4 @ X1079 @ X1080))&(~(is_a_theorem @ (implies @ (and @ (esk85_2 @ X1079 @ X1080) @ (esk87_2 @ X1079 @ X1080)) @ (esk85_2 @ X1079 @ X1080)) @ (esk88_2 @ X1079 @ X1080))|(~(rel_s4 @ X1080 @ X1086)|(and_1 @ X1086))|~(rel_s4 @ X1079 @ X1080))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])])])])). 35.60/6.67 thf(c_0_33, plain, ![X807:$i, X808:$i]:((~(rel_s4 @ X807 @ X808)|(and_1 @ X808))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_28])])). 35.60/6.67 thf(c_0_34, plain, ![X777:$i]:((rel_s4 @ X777 @ X777)), inference(variable_rename,[status(thm)],[c_0_29])). 35.60/6.67 thf(c_0_35, negated_conjecture, ~((kn2 @ esk189_0)), inference(split_conjunct,[status(thm)],[c_0_30])). 35.60/6.67 thf(c_0_36, plain, ![X3:$i, X15:$i, X7:$i]:(((kn2 @ X15)|~((is_a_theorem @ (implies @ (and @ (esk140_2 @ X3 @ X7) @ (esk142_2 @ X3 @ X7)) @ (esk140_2 @ X3 @ X7)) @ (esk143_2 @ X3 @ X7)))|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_31])). 35.60/6.67 thf(c_0_37, plain, ![X3:$i, X11:mu, X15:$i, X17:$i, X16:$i, X13:mu, X7:$i]:(((is_a_theorem @ (implies @ (and @ X11 @ X13) @ X11) @ X17)|~((and_1 @ (esk83_2 @ X3 @ X7)))|~((rel_s4 @ X7 @ X15))|~((exists_in_world @ X11 @ X15))|~((rel_s4 @ X15 @ X16))|~((exists_in_world @ X13 @ X16))|~((rel_s4 @ X16 @ X17))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_32])). 35.60/6.67 thf(c_0_38, plain, ![X3:$i, X7:$i]:(((and_1 @ X7)|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_33])). 35.60/6.67 thf(c_0_39, plain, ![X3:$i, X15:$i, X7:$i]:(((rel_s4 @ (esk141_2 @ X3 @ X7) @ (esk143_2 @ X3 @ X7))|(kn2 @ X15)|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_31])). 35.60/6.67 thf(c_0_40, plain, ![X3:$i]:((rel_s4 @ X3 @ X3)), inference(split_conjunct,[status(thm)],[c_0_34])). 35.60/6.67 thf(c_0_41, plain, ![X3:$i, X15:$i, X7:$i]:(((exists_in_world @ (esk142_2 @ X3 @ X7) @ (esk141_2 @ X3 @ X7))|(kn2 @ X15)|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_31])). 35.60/6.67 thf(c_0_42, plain, ![X3:$i, X15:$i, X7:$i]:(((rel_s4 @ (esk139_2 @ X3 @ X7) @ (esk141_2 @ X3 @ X7))|(kn2 @ X15)|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_31])). 35.60/6.67 thf(c_0_43, negated_conjecture, ![X3:$i, X7:$i]:((~((is_a_theorem @ (implies @ (and @ (esk140_2 @ X3 @ X7) @ (esk142_2 @ X3 @ X7)) @ (esk140_2 @ X3 @ X7)) @ (esk143_2 @ X3 @ X7)))|~((rel_s4 @ X7 @ esk189_0))|~((rel_s4 @ X3 @ X7)))), inference(spm,[status(thm)],[c_0_35, c_0_36])). 35.60/6.67 thf(c_0_44, plain, ![X3:$i, X7:$i, X13:mu, X11:mu, X16:$i, X17:$i, X15:$i, X132:$i]:(((is_a_theorem @ (implies @ (and @ X11 @ X13) @ X11) @ X3)|~((rel_s4 @ X7 @ (esk83_2 @ X15 @ X16)))|~((rel_s4 @ X17 @ X3))|~((rel_s4 @ X132 @ X17))|~((rel_s4 @ X16 @ X132))|~((rel_s4 @ X15 @ X16))|~((exists_in_world @ X13 @ X17))|~((exists_in_world @ X11 @ X132)))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 35.60/6.67 thf(c_0_45, plain, ![X3:$i, X7:$i]:(((rel_s4 @ (esk141_2 @ X3 @ X7) @ (esk143_2 @ X3 @ X7))|(kn2 @ X7)|~((rel_s4 @ X3 @ X7)))), inference(spm,[status(thm)],[c_0_39, c_0_40])). 35.60/6.67 thf(c_0_46, plain, ![X3:$i, X7:$i]:(((exists_in_world @ (esk142_2 @ X3 @ X7) @ (esk141_2 @ X3 @ X7))|(kn2 @ X7)|~((rel_s4 @ X3 @ X7)))), inference(spm,[status(thm)],[c_0_41, c_0_40])). 35.60/6.67 thf(c_0_47, plain, ![X3:$i, X7:$i]:(((rel_s4 @ (esk139_2 @ X3 @ X7) @ (esk141_2 @ X3 @ X7))|(kn2 @ X7)|~((rel_s4 @ X3 @ X7)))), inference(spm,[status(thm)],[c_0_42, c_0_40])). 35.60/6.67 thf(c_0_48, plain, ![X3:$i, X15:$i, X7:$i]:(((exists_in_world @ (esk140_2 @ X3 @ X7) @ (esk139_2 @ X3 @ X7))|(kn2 @ X15)|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_31])). 35.60/6.67 thf(c_0_49, negated_conjecture, ![X3:$i, X7:$i, X17:$i, X132:$i, X135:$i, X16:$i, X15:$i]:((~((rel_s4 @ X3 @ (esk83_2 @ X7 @ X15)))|~((rel_s4 @ X16 @ (esk143_2 @ X17 @ X132)))|~((exists_in_world @ (esk142_2 @ X17 @ X132) @ X16))|~((exists_in_world @ (esk140_2 @ X17 @ X132) @ X135))|~((rel_s4 @ X132 @ esk189_0))|~((rel_s4 @ X17 @ X132))|~((rel_s4 @ X135 @ X16))|~((rel_s4 @ X15 @ X135))|~((rel_s4 @ X7 @ X15)))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 35.60/6.67 thf(c_0_50, plain, ![X3:$i]:(((rel_s4 @ (esk141_2 @ X3 @ X3) @ (esk143_2 @ X3 @ X3))|(kn2 @ X3))), inference(spm,[status(thm)],[c_0_45, c_0_40])). 35.60/6.67 thf(c_0_51, plain, ![X3:$i]:(((exists_in_world @ (esk142_2 @ X3 @ X3) @ (esk141_2 @ X3 @ X3))|(kn2 @ X3))), inference(spm,[status(thm)],[c_0_46, c_0_40])). 35.60/6.67 thf(c_0_52, plain, ![X781:mu, X782:$i, X783:$i]:((~(exists_in_world @ X781 @ X782)|~(rel_s4 @ X782 @ X783)|(exists_in_world @ X781 @ X783))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cumulative_ax])])])). 35.60/6.67 thf(c_0_53, plain, ![X3:$i]:(((rel_s4 @ (esk139_2 @ X3 @ X3) @ (esk141_2 @ X3 @ X3))|(kn2 @ X3))), inference(spm,[status(thm)],[c_0_47, c_0_40])). 35.60/6.67 thf(c_0_54, plain, ![X3:$i, X7:$i]:(((exists_in_world @ (esk140_2 @ X3 @ X7) @ (esk139_2 @ X3 @ X7))|(kn2 @ X7)|~((rel_s4 @ X3 @ X7)))), inference(spm,[status(thm)],[c_0_48, c_0_40])). 35.60/6.67 thf(c_0_55, plain, ![X15:$i, X7:$i, X3:$i]:(((rel_s4 @ X3 @ (esk139_2 @ X7 @ X3))|(kn2 @ X15)|~((rel_s4 @ X3 @ X15))|~((rel_s4 @ X7 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_31])). 35.60/6.67 thf(c_0_56, negated_conjecture, ![X7:$i, X3:$i, X15:$i, X16:$i, X132:$i, X17:$i]:((~((rel_s4 @ X3 @ (esk143_2 @ X7 @ X15)))|~((exists_in_world @ (esk142_2 @ X7 @ X15) @ X3))|~((exists_in_world @ (esk140_2 @ X7 @ X15) @ X16))|~((rel_s4 @ X15 @ esk189_0))|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X16 @ X3))|~((rel_s4 @ X17 @ X16))|~((rel_s4 @ X132 @ X17)))), inference(spm,[status(thm)],[c_0_49, c_0_40])). 35.60/6.67 thf(c_0_57, negated_conjecture, (rel_s4 @ (esk141_2 @ esk189_0 @ esk189_0) @ (esk143_2 @ esk189_0 @ esk189_0)), inference(spm,[status(thm)],[c_0_35, c_0_50])). 35.60/6.67 thf(c_0_58, negated_conjecture, (exists_in_world @ (esk142_2 @ esk189_0 @ esk189_0) @ (esk141_2 @ esk189_0 @ esk189_0)), inference(spm,[status(thm)],[c_0_35, c_0_51])). 35.60/6.67 thf(c_0_59, plain, ![X3:$i, X11:mu, X7:$i]:(((exists_in_world @ X11 @ X7)|~((exists_in_world @ X11 @ X3))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_52])). 35.60/6.67 thf(c_0_60, negated_conjecture, (rel_s4 @ (esk139_2 @ esk189_0 @ esk189_0) @ (esk141_2 @ esk189_0 @ esk189_0)), inference(spm,[status(thm)],[c_0_35, c_0_53])). 35.60/6.67 thf(c_0_61, plain, ![X3:$i]:(((exists_in_world @ (esk140_2 @ X3 @ X3) @ (esk139_2 @ X3 @ X3))|(kn2 @ X3))), inference(spm,[status(thm)],[c_0_54, c_0_40])). 35.60/6.67 thf(c_0_62, plain, ![X3:$i, X7:$i]:(((rel_s4 @ X3 @ (esk139_2 @ X3 @ X3))|(kn2 @ X7)|~((rel_s4 @ X3 @ X7)))), inference(spm,[status(thm)],[c_0_55, c_0_40])). 35.60/6.67 thf(c_0_63, negated_conjecture, ![X3:$i, X15:$i, X7:$i]:((~((exists_in_world @ (esk140_2 @ esk189_0 @ esk189_0) @ X3))|~((rel_s4 @ X3 @ (esk141_2 @ esk189_0 @ esk189_0)))|~((rel_s4 @ X7 @ X3))|~((rel_s4 @ X15 @ X7)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58]), c_0_40])])). 35.60/6.67 thf(c_0_64, negated_conjecture, ![X11:mu]:(((exists_in_world @ X11 @ (esk141_2 @ esk189_0 @ esk189_0))|~((exists_in_world @ X11 @ (esk139_2 @ esk189_0 @ esk189_0))))), inference(spm,[status(thm)],[c_0_59, c_0_60])). 35.60/6.67 thf(c_0_65, negated_conjecture, (exists_in_world @ (esk140_2 @ esk189_0 @ esk189_0) @ (esk139_2 @ esk189_0 @ esk189_0)), inference(spm,[status(thm)],[c_0_35, c_0_61])). 35.60/6.67 thf(c_0_66, plain, ![X3:$i]:(((rel_s4 @ X3 @ (esk139_2 @ X3 @ X3))|(kn2 @ X3))), inference(spm,[status(thm)],[c_0_62, c_0_40])). 35.60/6.67 thf(c_0_67, negated_conjecture, ![X7:$i, X3:$i]:((~((rel_s4 @ X3 @ (esk141_2 @ esk189_0 @ esk189_0)))|~((rel_s4 @ X7 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_40]), c_0_65])])). 35.60/6.67 thf(c_0_68, negated_conjecture, (rel_s4 @ esk189_0 @ (esk139_2 @ esk189_0 @ esk189_0)), inference(spm,[status(thm)],[c_0_35, c_0_66])). 35.60/6.67 thf(c_0_69, negated_conjecture, ![X3:$i]:(~((rel_s4 @ X3 @ (esk139_2 @ esk189_0 @ esk189_0)))), inference(spm,[status(thm)],[c_0_67, c_0_60])). 35.60/6.67 thf(c_0_70, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_68, c_0_69]), ['proof']). 35.60/6.67 % SZS output end CNFRefutation 35.60/6.67 % Parsed axioms : 180 35.60/6.67 % Removed by relevancy pruning/SinE : 0 35.60/6.67 % Initial clauses : 371 35.60/6.67 % Removed in clause preprocessing : 73 35.60/6.67 % Initial clauses in saturation : 298 35.60/6.67 % Processed clauses : 10025 35.60/6.67 % ...of these trivial : 0 35.60/6.67 % ...subsumed : 3405 35.60/6.67 % ...remaining for further processing : 6620 35.60/6.67 % Other redundant clauses eliminated : 0 35.60/6.67 % Clauses deleted for lack of memory : 0 35.60/6.67 % Backward-subsumed : 259 35.60/6.67 % Backward-rewritten : 18 35.60/6.67 % Generated clauses : 17525 35.60/6.67 % ...of the previous two non-redundant : 17452 35.60/6.67 % ...aggressively subsumed : 0 35.60/6.67 % Contextual simplify-reflections : 2 35.60/6.67 % Paramodulations : 17524 35.60/6.67 % Factorizations : 0 35.60/6.67 % NegExts : 0 35.60/6.67 % Equation resolutions : 0 35.60/6.67 % Disequality decompositions : 0 35.60/6.67 % Total rewrite steps : 1224 35.60/6.67 % ...of those cached : 1140 35.60/6.67 % Propositional unsat checks : 1 35.60/6.67 % Propositional check models : 1 35.60/6.67 % Propositional check unsatisfiable : 0 35.60/6.67 % Propositional clauses : 0 35.60/6.67 % Propositional clauses after purity: 0 35.60/6.67 % Propositional unsat core size : 0 35.60/6.67 % Propositional preprocessing time : 0.000 35.60/6.67 % Propositional encoding time : 0.020 35.60/6.67 % Propositional solver time : 0.001 35.60/6.67 % Success case prop preproc time : 0.000 35.60/6.67 % Success case prop encoding time : 0.000 35.60/6.67 % Success case prop solver time : 0.000 35.60/6.67 % Current number of processed clauses : 6146 35.60/6.67 % Positive orientable unit clauses : 19 35.60/6.67 % Positive unorientable unit clauses: 0 35.60/6.67 % Negative unit clauses : 2 35.60/6.67 % Non-unit-clauses : 6125 35.60/6.67 % Current number of unprocessed clauses: 7918 35.60/6.67 % ...number of literals in the above : 42452 35.60/6.67 % Current number of archived formulas : 0 35.60/6.67 % Current number of archived clauses : 474 35.60/6.67 % Clause-clause subsumption calls (NU) : 24107618 35.60/6.67 % Rec. Clause-clause subsumption calls : 9324549 35.60/6.67 % Non-unit clause-clause subsumptions : 3497 35.60/6.67 % Unit Clause-clause subsumption calls : 10315 35.60/6.67 % Rewrite failures with RHS unbound : 0 35.60/6.67 % BW rewrite match attempts : 12 35.60/6.67 % BW rewrite match successes : 10 35.60/6.67 % Condensation attempts : 0 35.60/6.67 % Condensation successes : 0 35.60/6.67 % Termbank termtop insertions : 619676 35.60/6.67 % Search garbage collected termcells : 31213 35.60/6.67 35.60/6.67 % ------------------------------------------------- 35.60/6.67 % User time : 5.855 s 35.60/6.67 % System time : 0.046 s 35.60/6.67 % Total time : 5.901 s 35.60/6.67 % Maximum resident set size: 8564 pages 35.60/6.67 35.60/6.67 % ------------------------------------------------- 35.60/6.67 % User time : 28.631 s 35.60/6.67 % System time : 0.600 s 35.60/6.67 % Total time : 29.231 s 35.60/6.67 % Maximum resident set size: 5120 pages 35.60/6.67 % E exiting 35.60/6.67 EOF