0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.16/0.41 % Computer : n005.cluster.edu 0.16/0.41 % Model : x86_64 x86_64 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.16/0.41 % Memory : 8046.5625MB 0.16/0.41 % OS : Linux 6.8.0-71-generic 0.16/0.41 % CPULimit : 1440 0.16/0.41 % WCLimit : 180 0.16/0.41 % DateTime : Mon Jul 27 14:10:49 UTC 2026 0.16/0.41 % CPUTime : 0.16/0.41 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.23/0.49 Running higher-order theorem proving 0.23/0.51 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.58wTPFz4xg/E---3.1_3142081.p 25.30/3.78 % Version: 3.5.1-ho 25.30/3.78 % Preprocessing class: HSMSSMSSSSMNHFA. 25.30/3.78 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 25.30/3.78 % Starting ehoh_best_nonlift with 900s (5) cores 25.30/3.78 % Starting lpo6_lambda_fix with 180s (1) cores 25.30/3.78 % Starting ehoh_best_nonlift_rwall with 180s (1) cores 25.30/3.78 % Starting ehoh_best3_fo with 180s (1) cores 25.30/3.78 % ehoh_best_nonlift with pid 3142094 completed with status 0 25.30/3.78 % Result found by ehoh_best_nonlift 25.30/3.78 % Preprocessing class: HSMSSMSSSSMNHFA. 25.30/3.78 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 25.30/3.78 % Starting ehoh_best_nonlift with 900s (5) cores 25.30/3.78 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 25.30/3.78 % No SInE strategy applied 25.30/3.78 % Search class: HGHNS-FFSF33-MHFFFSBN 25.30/3.78 % partial match(4): HGHNS-FFMF32-SHSFFSBN 25.30/3.78 % Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 25.30/3.78 % Starting SubtermCWHack with 91s (1) cores 25.30/3.78 % Starting ho_unfolding_3 with 541s (1) cores 25.30/3.78 % Starting ehoh_best_nonlift_rwall with 91s (1) cores 25.30/3.78 % Starting ehoh_best_nonlift_nonlambdatoforall with 91s (1) cores 25.30/3.79 % Starting ehoh_best8_lambda with 86s (1) cores 25.30/3.79 % ehoh_best_nonlift_rwall with pid 3142103 completed with status 0 25.30/3.79 % Result found by ehoh_best_nonlift_rwall 25.30/3.79 % Preprocessing class: HSMSSMSSSSMNHFA. 25.30/3.79 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 25.30/3.79 % Starting ehoh_best_nonlift with 900s (5) cores 25.30/3.79 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 25.30/3.79 % No SInE strategy applied 25.30/3.79 % Search class: HGHNS-FFSF33-MHFFFSBN 25.30/3.79 % partial match(4): HGHNS-FFMF32-SHSFFSBN 25.30/3.79 % Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 25.30/3.79 % Starting SubtermCWHack with 91s (1) cores 25.30/3.79 % Starting ho_unfolding_3 with 541s (1) cores 25.30/3.79 % Starting ehoh_best_nonlift_rwall with 91s (1) cores 25.30/3.79 % Preprocessing time : 0.001 s 25.30/3.79 % Presaturation interreduction done 25.30/3.79 25.30/3.79 % Proof found! 25.30/3.79 % SZS status Theorem 25.30/3.79 % SZS output start CNFRefutation 25.30/3.79 thf(decl_sort1, type, qML_mu: $tType). 25.30/3.79 thf(decl_sort2, type, qML_i: $tType). 25.30/3.79 thf(decl_23, type, scott_G: qML_mu > qML_i > $o). 25.30/3.79 thf(decl_24, type, scott_NE_QML_mu: qML_mu > qML_i > $o). 25.30/3.79 thf(decl_25, type, scott_P: (qML_mu > qML_i > $o) > qML_i > $o). 25.30/3.79 thf(decl_26, type, scott_ess_QML_mu: (qML_mu > qML_i > $o) > qML_mu > qML_i > $o). 25.30/3.79 thf(decl_27, type, esk1_3: qML_i > (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_i). 25.30/3.79 thf(decl_28, type, esk2_3: qML_i > (qML_mu > qML_i > $o) > (qML_mu > qML_i > $o) > qML_mu). 25.30/3.79 thf(decl_29, type, esk3_0: qML_i). 25.30/3.79 thf(decl_30, type, esk4_4: qML_mu > qML_i > (qML_mu > qML_i > $o) > qML_i > qML_mu). 25.30/3.79 thf(decl_31, type, epred1_2: qML_mu > qML_i > qML_mu > qML_i > $o). 25.30/3.79 thf(decl_32, type, esk5_2: qML_mu > qML_i > qML_i). 25.30/3.79 thf(decl_33, type, epred2_2: qML_mu > qML_i > qML_mu > qML_i > $o). 25.30/3.79 thf(decl_34, type, epred3_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_mu > qML_i > $o). 25.30/3.79 thf(decl_35, type, esk6_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_i). 25.30/3.79 thf(decl_36, type, esk7_3: (qML_mu > qML_i > $o) > qML_mu > qML_i > qML_mu). 25.30/3.79 thf(decl_73, type, esk40_0: qML_mu). 25.30/3.79 thf(decl_75, type, esk42_0: qML_i). 25.30/3.79 thf(decl_86, type, esk53_0: qML_mu). 25.30/3.79 thf(decl_88, type, esk55_0: qML_i). 25.30/3.79 thf(decl_114, type, esk81_1: (qML_mu > qML_i > $o) > qML_mu). 25.30/3.79 thf(decl_115, type, esk82_1: (qML_mu > qML_i > $o) > qML_i). 25.30/3.79 thf(decl_476, type, esk443_0: qML_mu). 25.30/3.79 thf(decl_478, type, esk445_0: qML_i). 25.30/3.79 thf(decl_1346, type, esk1313_0: qML_i). 25.30/3.79 thf(fact_4_A2, axiom, ![X1:qML_i, X2:qML_mu > qML_i > $o, X6:qML_mu > qML_i > $o]:(((scott_P @ X6 @ X1)<=((scott_P @ X2 @ X1)&![X7:qML_i, X8:qML_mu]:(((X6 @ X8 @ X7)<=(X2 @ X8 @ X7)))))), file('/export/starexec/sandbox/tmp/tmp.58wTPFz4xg/E---3.1_3142081.p', fact_4_A2)). 25.30/3.79 thf(fact_7_A1a, axiom, ![X1:qML_i, X2:qML_mu > qML_i > $o]:(((scott_P @ (^[X3:qML_mu, X4:qML_i]:(~((X2 @ X3 @ X4)))) @ X1)=>~((scott_P @ X2 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.58wTPFz4xg/E---3.1_3142081.p', fact_7_A1a)). 25.30/3.79 thf(fact_1_A3, axiom, ![X5:qML_i]:((scott_P @ scott_G @ X5)), file('/export/starexec/sandbox/tmp/tmp.58wTPFz4xg/E---3.1_3142081.p', fact_1_A3)). 25.30/3.79 thf(fact_3_A1b, axiom, ![X1:qML_i, X2:qML_mu > qML_i > $o]:(((scott_P @ (^[X3:qML_mu, X4:qML_i]:(~((X2 @ X3 @ X4)))) @ X1)<=~((scott_P @ X2 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.58wTPFz4xg/E---3.1_3142081.p', fact_3_A1b)). 25.30/3.79 thf(fact_2_A4, axiom, ![X1:qML_i, X2:qML_mu > qML_i > $o]:((![X5:qML_i]:((scott_P @ X2 @ X5))<=(scott_P @ X2 @ X1))), file('/export/starexec/sandbox/tmp/tmp.58wTPFz4xg/E---3.1_3142081.p', fact_2_A4)). 25.30/3.79 thf(fact_0_G__def, axiom, ((scott_G)=(^[X11:qML_mu, X12:qML_i]:(![X16:qML_mu > qML_i > $o]:((((X16 @ X11 @ X12))<=((scott_P @ X16 @ X12))))))), file('/export/starexec/sandbox/tmp/tmp.58wTPFz4xg/E---3.1_3142081.p', fact_0_G__def)). 25.30/3.79 thf(fact_6_ess__def, axiom, ((scott_ess_QML_mu)=(^[X17:qML_mu > qML_i > $o, X11:qML_mu, X12:qML_i]:(((![X18:qML_mu > qML_i > $o]:(((![X14:qML_i, X19:qML_mu]:((((X18 @ X19 @ X14))<=((X17 @ X19 @ X14)))))<=((X18 @ X11 @ X12)))))&((X17 @ X11 @ X12)))))), file('/export/starexec/sandbox/tmp/tmp.58wTPFz4xg/E---3.1_3142081.p', fact_6_ess__def)). 25.30/3.79 thf(fact_5_A5, axiom, ![X5:qML_i]:((scott_P @ scott_NE_QML_mu @ X5)), file('/export/starexec/sandbox/tmp/tmp.58wTPFz4xg/E---3.1_3142081.p', fact_5_A5)). 25.30/3.79 thf(fact_8_NE__def, axiom, ((scott_NE_QML_mu)=(^[X11:qML_mu, X12:qML_i]:(![X13:qML_mu > qML_i > $o]:((((scott_ess_QML_mu @ X13 @ X11 @ X12))=>(![X14:qML_i]:(?[X15:qML_mu]:((X13 @ X15 @ X14))))))))), file('/export/starexec/sandbox/tmp/tmp.58wTPFz4xg/E---3.1_3142081.p', fact_8_NE__def)). 25.30/3.79 thf(conj_0, conjecture, ![X9:qML_i, X7:qML_i]:(?[X10:qML_mu]:((scott_G @ X10 @ X7))), file('/export/starexec/sandbox/tmp/tmp.58wTPFz4xg/E---3.1_3142081.p', conj_0)). 25.30/3.79 thf(c_0_10, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o, X6:qML_mu > qML_i > $o]:((((scott_P @ X2 @ X1)&![X7:qML_i, X8:qML_mu]:(((X2 @ X8 @ X7)=>(X6 @ X8 @ X7))))=>(scott_P @ X6 @ X1))), inference(fof_simplification,[status(thm)],[fact_4_A2])). 25.30/3.79 thf(c_0_11, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o]:(((scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~(X2 @ Z0 @ Z1))) @ X1)=>~(scott_P @ X2 @ X1))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_7_A1a])])). 25.30/3.79 thf(c_0_12, plain, ![X47:qML_i, X48:qML_mu > qML_i > $o, X49:qML_mu > qML_i > $o]:((((X48 @ (esk2_3 @ X47 @ X48 @ X49) @ (esk1_3 @ X47 @ X48 @ X49))|~(scott_P @ X48 @ X47)|(scott_P @ X49 @ X47))&(~(X49 @ (esk2_3 @ X47 @ X48 @ X49) @ (esk1_3 @ X47 @ X48 @ X49))|~(scott_P @ X48 @ X47)|(scott_P @ X49 @ X47)))), 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_10])])])])])). 25.30/3.79 thf(c_0_13, plain, ![X44:qML_i, X45:qML_mu > qML_i > $o]:((~(scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~(X45 @ Z0 @ Z1))) @ X44)|~(scott_P @ X45 @ X44))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])). 25.30/3.79 thf(c_0_14, plain, ![X6:qML_mu > qML_i > $o, X2:qML_mu > qML_i > $o, X1:qML_i]:(((scott_P @ X2 @ X1)|~((X2 @ (esk2_3 @ X1 @ X6 @ X2) @ (esk1_3 @ X1 @ X6 @ X2)))|~((scott_P @ X6 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_12])). 25.30/3.79 thf(c_0_15, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i]:((~((scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1))|~((scott_P @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_13])). 25.30/3.79 thf(c_0_16, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i]:(((scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(($true))) @ X1)|~((scott_P @ X2 @ X1)))), inference(primitive_enumeration,[status(thm)],[c_0_14])). 25.30/3.79 thf(c_0_17, plain, ![X87:qML_i]:((scott_P @ scott_G @ X87)), inference(variable_rename,[status(thm)],[fact_1_A3])). 25.30/3.79 thf(c_0_18, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o]:((~(scott_P @ X2 @ X1)=>(scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~(X2 @ Z0 @ Z1))) @ X1))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_3_A1b])])). 25.30/3.79 thf(c_0_19, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o]:(((scott_P @ X2 @ X1)=>![X5:qML_i]:((scott_P @ X2 @ X5)))), inference(fof_simplification,[status(thm)],[fact_2_A4])). 25.30/3.79 thf(c_0_20, plain, ![X6:qML_mu > qML_i > $o, X2:qML_mu > qML_i > $o, X1:qML_i]:((((^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1))))!=(^[Z0:qML_mu, Z1:qML_i]:(($true))))|~((scott_P @ X2 @ X1))|~((scott_P @ X6 @ X1)))), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_15, c_0_16])])). 25.30/3.79 thf(c_0_21, plain, ![X1:qML_i]:((scott_P @ scott_G @ X1)), inference(split_conjunct,[status(thm)],[c_0_17])). 25.30/3.79 thf(c_0_22, plain, ![X64:qML_i, X65:qML_mu > qML_i > $o]:(((scott_P @ X65 @ X64)|(scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~(X65 @ Z0 @ Z1))) @ X64))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])). 25.30/3.79 thf(c_0_23, plain, ![X39:qML_mu, X40:qML_i]:(((scott_G @ X39 @ X40)<=>![X16:qML_mu > qML_i > $o]:(((scott_P @ X16 @ X40)=>(X16 @ X39 @ X40))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_0_G__def])])])). 25.30/3.79 thf(c_0_24, plain, ![X84:qML_i, X85:qML_mu > qML_i > $o, X86:qML_i]:((~(scott_P @ X85 @ X84)|(scott_P @ X85 @ X86))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])). 25.30/3.79 thf(c_0_25, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i]:((((^[Z0:qML_mu, Z1:qML_i]:(~((scott_G @ Z0 @ Z1))))!=(^[Z0:qML_mu, Z1:qML_i]:(($true))))|~((scott_P @ X2 @ X1)))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 25.30/3.79 thf(c_0_26, plain, ![X41:qML_mu > qML_i > $o, X42:qML_mu, X43:qML_i]:(((scott_ess_QML_mu @ X41 @ X42 @ X43)<=>(![X18:qML_mu > qML_i > $o]:(((X18 @ X42 @ X43)=>![X14:qML_i, X19:qML_mu]:(((X41 @ X19 @ X14)=>(X18 @ X19 @ X14)))))&(X41 @ X42 @ X43)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_6_ess__def])])])). 25.30/3.79 thf(c_0_27, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i]:(((scott_P @ X2 @ X1)|(scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1))), inference(split_conjunct,[status(thm)],[c_0_22])). 25.30/3.79 thf(c_0_28, plain, ![X46:qML_i]:((scott_P @ scott_NE_QML_mu @ X46)), inference(variable_rename,[status(thm)],[fact_5_A5])). 25.30/3.79 thf(c_0_29, plain, ![X66:qML_mu, X67:qML_i, X68:qML_mu > qML_i > $o, X69:qML_mu, X70:qML_i]:(((~(scott_G @ X66 @ X67)|(~(scott_P @ X68 @ X67)|(X68 @ X66 @ X67)))&(((scott_P @ (epred2_2 @ X69 @ X70) @ X70)|(scott_G @ X69 @ X70))&(~(epred2_2 @ X69 @ X70 @ X69 @ X70)|(scott_G @ X69 @ X70))))), 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_23])])])])])])])). 25.30/3.79 thf(c_0_30, plain, ![X4:qML_i, X2:qML_mu > qML_i > $o, X1:qML_i]:(((scott_P @ X2 @ X4)|~((scott_P @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_24])). 25.30/3.79 thf(c_0_31, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i]:((((^[Z0:qML_i]:(~((scott_G @ esk53_0 @ Z0))))!=(^[Z0:qML_i]:(($true))))|~((scott_P @ X2 @ X1)))), inference(neg_ext,[status(thm)],[c_0_25])). 25.30/3.79 thf(c_0_32, plain, ![X72:qML_mu > qML_i > $o, X73:qML_mu, X74:qML_i, X75:qML_mu > qML_i > $o, X76:qML_i, X77:qML_mu, X78:qML_mu > qML_i > $o, X79:qML_mu, X80:qML_i]:((((~(X75 @ X73 @ X74)|(~(X72 @ X77 @ X76)|(X75 @ X77 @ X76))|~(scott_ess_QML_mu @ X72 @ X73 @ X74))&((X72 @ X73 @ X74)|~(scott_ess_QML_mu @ X72 @ X73 @ X74)))&(((epred3_3 @ X78 @ X79 @ X80 @ X79 @ X80)|~(X78 @ X79 @ X80)|(scott_ess_QML_mu @ X78 @ X79 @ X80))&(((X78 @ (esk7_3 @ X78 @ X79 @ X80) @ (esk6_3 @ X78 @ X79 @ X80))|~(X78 @ X79 @ X80)|(scott_ess_QML_mu @ X78 @ X79 @ X80))&(~(epred3_3 @ X78 @ X79 @ X80 @ (esk7_3 @ X78 @ X79 @ X80) @ (esk6_3 @ X78 @ X79 @ X80))|~(X78 @ X79 @ X80)|(scott_ess_QML_mu @ X78 @ X79 @ X80)))))), 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])])])])])])])). 25.30/3.79 thf(c_0_33, plain, ![X6:qML_mu > qML_i > $o, X2:qML_mu > qML_i > $o, X1:qML_i]:(((scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1)|((^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1))))!=(^[Z0:qML_mu, Z1:qML_i]:(($true))))|~((scott_P @ X6 @ X1)))), inference(spm,[status(thm)],[c_0_20, c_0_27])). 25.30/3.79 thf(c_0_34, plain, ![X1:qML_i]:((scott_P @ scott_NE_QML_mu @ X1)), inference(split_conjunct,[status(thm)],[c_0_28])). 25.30/3.79 thf(c_0_35, plain, ![X3:qML_mu, X2:qML_mu > qML_i > $o, X1:qML_i]:(((X2 @ X3 @ X1)|~((scott_G @ X3 @ X1))|~((scott_P @ X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_29])). 25.30/3.79 thf(c_0_36, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o, X4:qML_i]:(((scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1)|(scott_P @ X2 @ X4))), inference(spm,[status(thm)],[c_0_30, c_0_27])). 25.30/3.79 thf(c_0_37, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i]:(((scott_G @ esk53_0 @ esk55_0)|~((scott_P @ X2 @ X1)))), inference(cn,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_31])])). 25.30/3.79 thf(c_0_38, plain, ![X3:qML_mu, X2:qML_mu > qML_i > $o, X1:qML_i]:(((X2 @ X3 @ X1)|~((scott_ess_QML_mu @ X2 @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_32])). 25.30/3.79 thf(c_0_39, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o]:(((scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1)|((^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1))))!=(^[Z0:qML_mu, Z1:qML_i]:(($true)))))), inference(spm,[status(thm)],[c_0_33, c_0_34])). 25.30/3.79 thf(c_0_40, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o, X3:qML_mu, X4:qML_i]:(((scott_P @ X2 @ X1)|~((scott_G @ X3 @ X4))|~((X2 @ X3 @ X4)))), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36])])). 25.30/3.79 thf(c_0_41, plain, (scott_G @ esk53_0 @ esk55_0), inference(spm,[status(thm)],[c_0_37, c_0_34])). 25.30/3.79 thf(c_0_42, plain, ![X3:qML_mu, X2:qML_mu > qML_i > $o, X1:qML_i]:(((epred3_3 @ X2 @ X3 @ X1 @ X3 @ X1)|(scott_ess_QML_mu @ X2 @ X3 @ X1)|~((X2 @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_32])). 25.30/3.79 thf(c_0_43, plain, ![X3:qML_mu, X1:qML_i]:(~((scott_ess_QML_mu @ (^[Z0:qML_mu, Z1:qML_i]:(~($true))) @ X3 @ X1))), inference(primitive_enumeration,[status(thm)],[c_0_38])). 25.30/3.79 thf(c_0_44, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i]:(((X2 @ (esk81_1 @ X2) @ (esk82_1 @ X2))|(scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1))), inference(cn,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_39])])). 25.30/3.79 thf(c_0_45, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o]:(((scott_P @ X2 @ X1)|~((X2 @ esk53_0 @ esk55_0)))), inference(spm,[status(thm)],[c_0_40, c_0_41])). 25.30/3.79 thf(c_0_46, plain, ((epred3_3 @ scott_G @ esk53_0 @ esk55_0 @ esk53_0 @ esk55_0)|(scott_ess_QML_mu @ scott_G @ esk53_0 @ esk55_0)), inference(spm,[status(thm)],[c_0_42, c_0_41])). 25.30/3.79 thf(c_0_47, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i]:((((^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1))))!=(scott_G))|~((scott_P @ X2 @ X1)))), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_15, c_0_21])])). 25.30/3.79 thf(c_0_48, plain, ![X1:qML_i]:((scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((scott_ess_QML_mu @ (^[Z2:qML_mu, Z3:qML_i]:(~($true))) @ Z0 @ Z1)))) @ X1)), inference(spm,[status(thm)],[c_0_43, c_0_44])). 25.30/3.79 thf(c_0_49, plain, ![X1:qML_i]:(((scott_P @ (epred3_3 @ scott_G @ esk53_0 @ esk55_0) @ X1)|(scott_ess_QML_mu @ scott_G @ esk53_0 @ esk55_0))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 25.30/3.79 thf(c_0_50, plain, ![X3:qML_mu, X2:qML_mu > qML_i > $o, X1:qML_i]:(((X2 @ (esk7_3 @ X2 @ X3 @ X1) @ (esk6_3 @ X2 @ X3 @ X1))|(scott_ess_QML_mu @ X2 @ X3 @ X1)|~((X2 @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_32])). 25.30/3.79 thf(c_0_51, plain, ((^[Z0:qML_mu, Z1:qML_i]:((scott_ess_QML_mu @ (^[Z2:qML_mu, Z3:qML_i]:(~($true))) @ Z0 @ Z1)))!=(scott_G)), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_48])])). 25.30/3.79 thf(c_0_52, plain, ![X3:qML_mu, X1:qML_i]:(((epred3_3 @ scott_G @ esk53_0 @ esk55_0 @ X3 @ X1)|(scott_ess_QML_mu @ scott_G @ esk53_0 @ esk55_0)|~((scott_G @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_35, c_0_49])). 25.30/3.79 thf(c_0_53, plain, ((scott_G @ (esk7_3 @ scott_G @ esk53_0 @ esk55_0) @ (esk6_3 @ scott_G @ esk53_0 @ esk55_0))|(scott_ess_QML_mu @ scott_G @ esk53_0 @ esk55_0)), inference(spm,[status(thm)],[c_0_50, c_0_41])). 25.30/3.79 thf(c_0_54, plain, ((scott_ess_QML_mu @ (^[Z0:qML_mu, Z1:qML_i]:(~($true))) @ esk443_0)!=(scott_G @ esk443_0)), inference(neg_ext,[status(thm)],[c_0_51])). 25.30/3.79 thf(c_0_55, plain, ![X8:qML_mu, X6:qML_mu > qML_i > $o, X4:qML_i, X3:qML_mu, X2:qML_mu > qML_i > $o, X1:qML_i]:(((X2 @ X8 @ X4)|~((X2 @ X3 @ X1))|~((X6 @ X8 @ X4))|~((scott_ess_QML_mu @ X6 @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_32])). 25.30/3.79 thf(c_0_56, plain, ![X3:qML_mu, X2:qML_mu > qML_i > $o, X1:qML_i]:(((scott_ess_QML_mu @ X2 @ X3 @ X1)|~((epred3_3 @ X2 @ X3 @ X1 @ (esk7_3 @ X2 @ X3 @ X1) @ (esk6_3 @ X2 @ X3 @ X1)))|~((X2 @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_32])). 25.30/3.79 thf(c_0_57, plain, ((epred3_3 @ scott_G @ esk53_0 @ esk55_0 @ (esk7_3 @ scott_G @ esk53_0 @ esk55_0) @ (esk6_3 @ scott_G @ esk53_0 @ esk55_0))|(scott_ess_QML_mu @ scott_G @ esk53_0 @ esk55_0)), inference(spm,[status(thm)],[c_0_52, c_0_53])). 25.30/3.79 thf(c_0_58, plain, ((scott_ess_QML_mu @ (^[Z0:qML_mu, Z1:qML_i]:(~($true))) @ esk443_0 @ esk445_0)<~>(scott_G @ esk443_0 @ esk445_0)), inference(neg_ext,[status(thm)],[c_0_54])). 25.30/3.79 thf(c_0_59, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o, X3:qML_mu, X8:qML_mu, X4:qML_i]:((((X3)=(X8))|~((scott_ess_QML_mu @ X2 @ X3 @ X1))|~((X2 @ X8 @ X4)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_55])). 25.30/3.79 thf(c_0_60, plain, (scott_ess_QML_mu @ scott_G @ esk53_0 @ esk55_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_41])])). 25.30/3.79 thf(c_0_61, plain, ((scott_ess_QML_mu @ (^[Z0:qML_mu, Z1:qML_i]:(~($true))) @ esk443_0 @ esk445_0)|(scott_G @ esk443_0 @ esk445_0)), inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_58])])). 25.30/3.79 thf(c_0_62, plain, ![X1:qML_i]:((scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(($true))) @ X1)), inference(spm,[status(thm)],[c_0_16, c_0_34])). 25.30/3.79 thf(c_0_63, plain, ![X3:qML_mu, X1:qML_i]:((((esk53_0)=(X3))|~((scott_G @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_59, c_0_60])). 25.30/3.79 thf(c_0_64, plain, (scott_G @ esk443_0 @ esk445_0), inference(spm,[status(thm)],[c_0_38, c_0_61])). 25.30/3.79 thf(c_0_65, plain, ((^[Z0:qML_mu, Z1:qML_i]:(~($true)))!=(scott_G)), inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_62])])). 25.30/3.79 thf(c_0_66, plain, ![X3:qML_mu, X2:qML_mu > qML_i > $o, X1:qML_i]:(((scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1)|(X2 @ X3 @ X1)|~((scott_G @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_35, c_0_27])). 25.30/3.79 thf(c_0_67, plain, ((esk53_0)=(esk443_0)), inference(spm,[status(thm)],[c_0_63, c_0_64])). 25.30/3.79 thf(c_0_68, plain, ((^[Z0:qML_i]:(~($true)))!=(scott_G @ esk40_0)), inference(neg_ext,[status(thm)],[c_0_65])). 25.30/3.79 thf(c_0_69, plain, ![X2:qML_mu > qML_i > $o, X6:qML_mu > qML_i > $o, X3:qML_mu, X1:qML_i]:(((X2 @ X3 @ X1)|((^[Z0:qML_mu, Z1:qML_i]:(~((X6 @ Z0 @ Z1))))!=(^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))))|~((scott_P @ X6 @ X1))|~((scott_G @ X3 @ X1)))), inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_15, c_0_66])])). 25.30/3.79 thf(c_0_70, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o, X3:qML_mu, X8:qML_mu, X4:qML_i]:((((X1)=(X4))|~((scott_ess_QML_mu @ X2 @ X3 @ X1))|~((X2 @ X8 @ X4)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_55])). 25.30/3.79 thf(c_0_71, plain, (scott_ess_QML_mu @ scott_G @ esk443_0 @ esk55_0), inference(rw,[status(thm)],[c_0_60, c_0_67])). 25.30/3.79 thf(c_0_72, plain, ![X3:qML_mu, X1:qML_i]:((((esk443_0)=(X3))|~((scott_G @ X3 @ X1)))), inference(rw,[status(thm)],[c_0_63, c_0_67])). 25.30/3.79 thf(c_0_73, plain, (scott_G @ esk40_0 @ esk42_0), inference(neg_ext,[status(thm)],[c_0_68])). 25.30/3.79 thf(c_0_74, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o, X3:qML_mu, X6:qML_mu > qML_i > $o, X4:qML_i]:(((scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1)|(X6 @ X3 @ X4)|((^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1))))!=(^[Z0:qML_mu, Z1:qML_i]:(~((X6 @ Z0 @ Z1)))))|~((scott_G @ X3 @ X4)))), inference(spm,[status(thm)],[c_0_69, c_0_36])). 25.30/3.79 thf(c_0_75, plain, ![X3:qML_mu, X1:qML_i]:((((esk55_0)=(X1))|~((scott_G @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_70, c_0_71])). 25.30/3.79 thf(c_0_76, plain, ((esk40_0)=(esk443_0)), inference(spm,[status(thm)],[c_0_72, c_0_73])). 25.30/3.79 thf(c_0_77, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o, X6:qML_mu > qML_i > $o]:(((scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1)|(X6 @ esk53_0 @ esk55_0)|((^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1))))!=(^[Z0:qML_mu, Z1:qML_i]:(~((X6 @ Z0 @ Z1))))))), inference(spm,[status(thm)],[c_0_74, c_0_41])). 25.30/3.79 thf(c_0_78, plain, ((esk55_0)=(esk445_0)), inference(spm,[status(thm)],[c_0_75, c_0_64])). 25.30/3.79 thf(c_0_79, plain, ((^[Z0:qML_i]:(~($true)))!=(scott_G @ esk443_0)), inference(rw,[status(thm)],[c_0_68, c_0_76])). 25.30/3.79 thf(c_0_80, plain, ![X1:qML_i, X2:qML_mu > qML_i > $o]:(((scott_P @ (^[Z0:qML_mu, Z1:qML_i]:(~((X2 @ Z0 @ Z1)))) @ X1)|(X2 @ esk53_0 @ esk55_0))), inference(er,[status(thm)],[c_0_77])). 25.30/3.79 thf(c_0_81, plain, ![X37:qML_mu, X38:qML_i]:(((scott_NE_QML_mu @ X37 @ X38)<=>![X13:qML_mu > qML_i > $o]:(((scott_ess_QML_mu @ X13 @ X37 @ X38)=>![X14:qML_i]:(?[X15:qML_mu]:((X13 @ X15 @ X14))))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_8_NE__def])])). 25.30/3.79 thf(c_0_82, plain, ![X3:qML_mu, X1:qML_i]:((((esk445_0)=(X1))|~((scott_G @ X3 @ X1)))), inference(rw,[status(thm)],[c_0_75, c_0_78])). 25.30/3.79 thf(c_0_83, plain, (scott_G @ esk443_0 @ esk1313_0), inference(neg_ext,[status(thm)],[c_0_79])). 25.30/3.79 thf(c_0_84, plain, ![X2:qML_mu > qML_i > $o, X1:qML_i]:(((X2 @ esk53_0 @ esk55_0)|~((scott_P @ X2 @ X1)))), inference(spm,[status(thm)],[c_0_15, c_0_80])). 25.30/3.79 thf(c_0_85, negated_conjecture, ~(![X9:qML_i, X7:qML_i]:(?[X10:qML_mu]:((scott_G @ X10 @ X7)))), inference(assume_negation,[status(cth)],[conj_0])). 25.30/3.79 thf(c_0_86, plain, ![X54:qML_mu, X55:qML_i, X56:qML_mu > qML_i > $o, X57:qML_i, X59:qML_mu, X60:qML_i, X63:qML_mu]:(((~(scott_NE_QML_mu @ X54 @ X55)|(~(scott_ess_QML_mu @ X56 @ X54 @ X55)|(X56 @ (esk4_4 @ X54 @ X55 @ X56 @ X57) @ X57)))&(((scott_ess_QML_mu @ (epred1_2 @ X59 @ X60) @ X59 @ X60)|(scott_NE_QML_mu @ X59 @ X60))&(~(epred1_2 @ X59 @ X60 @ X63 @ (esk5_2 @ X59 @ X60))|(scott_NE_QML_mu @ X59 @ X60))))), 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_81])])])])])])])). 25.30/3.79 thf(c_0_87, plain, ((esk445_0)=(esk1313_0)), inference(spm,[status(thm)],[c_0_82, c_0_83])). 25.30/3.79 thf(c_0_88, plain, (scott_NE_QML_mu @ esk53_0 @ esk55_0), inference(spm,[status(thm)],[c_0_84, c_0_34])). 25.30/3.79 thf(c_0_89, negated_conjecture, ![X53:qML_mu]:(~(scott_G @ X53 @ esk3_0)), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_85])])])])])). 25.30/3.79 thf(c_0_90, plain, ![X4:qML_i, X3:qML_mu, X2:qML_mu > qML_i > $o, X1:qML_i]:(((X2 @ (esk4_4 @ X3 @ X1 @ X2 @ X4) @ X4)|~((scott_NE_QML_mu @ X3 @ X1))|~((scott_ess_QML_mu @ X2 @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_86])). 25.30/3.79 thf(c_0_91, plain, (scott_ess_QML_mu @ scott_G @ esk443_0 @ esk1313_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71, c_0_78]), c_0_87])). 25.30/3.79 thf(c_0_92, plain, (scott_NE_QML_mu @ esk443_0 @ esk1313_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88, c_0_67]), c_0_78]), c_0_87])). 25.30/3.79 thf(c_0_93, negated_conjecture, ![X3:qML_mu]:(~((scott_G @ X3 @ esk3_0))), inference(split_conjunct,[status(thm)],[c_0_89])). 25.30/3.79 thf(c_0_94, plain, ![X1:qML_i]:((scott_G @ (esk4_4 @ esk443_0 @ esk1313_0 @ scott_G @ X1) @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_92])])). 25.30/3.79 thf(c_0_95, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_93, c_0_94]), ['proof']). 25.30/3.79 % SZS output end CNFRefutation 25.30/3.79 % Parsed axioms : 16 25.30/3.79 % Removed by relevancy pruning/SinE : 0 25.30/3.79 % Initial clauses : 25 25.30/3.79 % Removed in clause preprocessing : 6 25.30/3.79 % Initial clauses in saturation : 19 25.30/3.79 % Processed clauses : 9857 25.30/3.79 % ...of these trivial : 523 25.30/3.79 % ...subsumed : 4858 25.30/3.79 % ...remaining for further processing : 4476 25.30/3.79 % Other redundant clauses eliminated : 3981 25.30/3.79 % Clauses deleted for lack of memory : 0 25.30/3.79 % Backward-subsumed : 192 25.30/3.79 % Backward-rewritten : 2963 25.30/3.79 % Generated clauses : 96827 25.30/3.79 % ...of the previous two non-redundant : 79369 25.30/3.79 % ...aggressively subsumed : 0 25.30/3.79 % Contextual simplify-reflections : 1 25.30/3.79 % Paramodulations : 90503 25.30/3.79 % Factorizations : 30 25.30/3.79 % NegExts : 1324 25.30/3.79 % Equation resolutions : 4225 25.30/3.79 % Disequality decompositions : 0 25.30/3.79 % Total rewrite steps : 20956 25.30/3.79 % ...of those cached : 20814 25.30/3.79 % Propositional unsat checks : 0 25.30/3.79 % Propositional check models : 0 25.30/3.79 % Propositional check unsatisfiable : 0 25.30/3.79 % Propositional clauses : 0 25.30/3.79 % Propositional clauses after purity: 0 25.30/3.79 % Propositional unsat core size : 0 25.30/3.79 % Propositional preprocessing time : 0.000 25.30/3.79 % Propositional encoding time : 0.000 25.30/3.79 % Propositional solver time : 0.000 25.30/3.79 % Success case prop preproc time : 0.000 25.30/3.79 % Success case prop encoding time : 0.000 25.30/3.79 % Success case prop solver time : 0.000 25.30/3.79 % Current number of processed clauses : 968 25.30/3.79 % Positive orientable unit clauses : 59 25.30/3.79 % Positive unorientable unit clauses: 0 25.30/3.79 % Negative unit clauses : 31 25.30/3.79 % Non-unit-clauses : 878 25.30/3.79 % Current number of unprocessed clauses: 67484 25.30/3.79 % ...number of literals in the above : 215949 25.30/3.79 % Current number of archived formulas : 0 25.30/3.79 % Current number of archived clauses : 3508 25.30/3.79 % Clause-clause subsumption calls (NU) : 524106 25.30/3.79 % Rec. Clause-clause subsumption calls : 444754 25.30/3.79 % Non-unit clause-clause subsumptions : 4934 25.30/3.79 % Unit Clause-clause subsumption calls : 11649 25.30/3.79 % Rewrite failures with RHS unbound : 0 25.30/3.79 % BW rewrite match attempts : 76 25.30/3.79 % BW rewrite match successes : 61 25.30/3.79 % Condensation attempts : 0 25.30/3.79 % Condensation successes : 0 25.30/3.79 % Termbank termtop insertions : 4890716 25.30/3.79 % Search garbage collected termcells : 609 25.30/3.79 25.30/3.79 % ------------------------------------------------- 25.30/3.79 % User time : 3.160 s 25.30/3.79 % System time : 0.052 s 25.30/3.79 % Total time : 3.212 s 25.30/3.79 % Maximum resident set size: 3652 pages 25.30/3.79 25.30/3.79 % ------------------------------------------------- 25.30/3.79 % User time : 15.573 s 25.30/3.79 % System time : 0.267 s 25.30/3.79 % Total time : 15.840 s 25.30/3.79 % Maximum resident set size: 4864 pages 25.30/3.79 % E exiting 25.30/3.79 EOF