0.06/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_E %s %d THM 0.11/0.33 % Computer : n021.cluster.edu 0.11/0.33 % Model : x86_64 x86_64 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.33 % Memory : 8042.1875MB 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.33 % CPULimit : 960 0.11/0.33 % WCLimit : 120 0.11/0.33 % DateTime : Tue Aug 9 04:35:05 EDT 2022 0.11/0.33 % CPUTime : 0.17/0.45 Running higher-order on 8 cores theorem proving 0.17/0.45 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=120 /export/starexec/sandbox/benchmark/theBenchmark.p 0.17/0.45 # Version: 3.0pre003-ho 5.04/1.10 # Preprocessing class: HSMSSMSSSSMNHHA. 5.04/1.10 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 5.04/1.10 # Starting ehoh_best4_fo with 480s (4) cores 5.04/1.10 # Starting ehoh_best_nonlift_rwall with 240s (2) cores 5.04/1.10 # Starting lpo1_lambda_fix with 120s (1) cores 5.04/1.10 # Starting full_lambda_9 with 120s (1) cores 5.04/1.10 # ehoh_best4_fo with pid 12867 completed with status 0 5.04/1.10 # Result found by ehoh_best4_fo 5.04/1.10 # Preprocessing class: HSMSSMSSSSMNHHA. 5.04/1.10 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 5.04/1.10 # Starting ehoh_best4_fo with 480s (4) cores 5.04/1.10 # No SInE strategy applied 5.04/1.10 # Search class: HGHNF-FFMF11-MHHFFMBN 5.04/1.10 # partial match(2): HGHNF-FFSF11-SHHFFMBN 5.04/1.10 # Scheduled 6 strats onto 4 cores with 480 seconds (480 total) 5.04/1.10 # Starting ehoh_best_nonlift with 260s (1) cores 5.04/1.10 # Starting ehoh_best4_fo with 49s (1) cores 5.04/1.10 # Starting ehoh_best_sine_rwall with 44s (1) cores 5.04/1.10 # Starting lpo1_def_fix with 44s (1) cores 5.04/1.10 # lpo1_def_fix with pid 12877 completed with status 0 5.04/1.10 # Result found by lpo1_def_fix 5.04/1.10 # Preprocessing class: HSMSSMSSSSMNHHA. 5.04/1.10 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 5.04/1.10 # Starting ehoh_best4_fo with 480s (4) cores 5.04/1.10 # No SInE strategy applied 5.04/1.10 # Search class: HGHNF-FFMF11-MHHFFMBN 5.04/1.10 # partial match(2): HGHNF-FFSF11-SHHFFMBN 5.04/1.10 # Scheduled 6 strats onto 4 cores with 480 seconds (480 total) 5.04/1.10 # Starting ehoh_best_nonlift with 260s (1) cores 5.04/1.10 # Starting ehoh_best4_fo with 49s (1) cores 5.04/1.10 # Starting ehoh_best_sine_rwall with 44s (1) cores 5.04/1.10 # Starting lpo1_def_fix with 44s (1) cores 5.04/1.10 # Preprocessing time : 0.001 s 5.04/1.10 # Presaturation interreduction done 5.04/1.10 5.04/1.10 # Proof found! 5.04/1.10 # SZS status Theorem 5.04/1.10 # SZS output start CNFRefutation 5.04/1.10 thf(decl_22, type, cE: a > $o). 5.04/1.10 thf(decl_23, type, cA: (a > $o) > $o). 5.04/1.10 thf(decl_24, type, epred1_0: $o). 5.04/1.10 thf(decl_25, type, epred2_1: ((a > $o) > $o) > a > $o). 5.04/1.10 thf(decl_26, type, esk1_1: ((a > $o) > $o) > a). 5.04/1.10 thf(decl_27, type, epred3_0: a > $o). 5.04/1.10 thf(decl_28, type, epred4_0: a > $o). 5.04/1.10 thf(decl_29, type, epred5_1: (a > $o) > a > $o). 5.04/1.10 thf(decl_30, type, esk2_1: (a > $o) > a). 5.04/1.10 thf(decl_31, type, esk3_1: (a > $o) > a). 5.04/1.10 thf(decl_32, type, epred6_1: (a > $o) > (a > $o) > $o). 5.04/1.10 thf(decl_33, type, esk4_0: a). 5.04/1.10 thf(decl_34, type, esk5_0: a). 5.04/1.10 thf(decl_35, type, esk6_0: a). 5.04/1.10 thf(decl_36, type, esk7_0: a). 5.04/1.10 thf(decl_37, type, esk8_0: a). 5.04/1.10 thf(decl_38, type, esk9_0: a). 5.04/1.10 thf(decl_39, type, esk10_0: a). 5.04/1.10 thf(decl_40, type, esk11_0: a). 5.04/1.10 thf(decl_41, type, esk12_0: a). 5.04/1.10 thf(decl_42, type, esk13_0: a). 5.04/1.10 thf(decl_43, type, esk14_0: a). 5.04/1.10 thf(decl_44, type, esk15_0: a). 5.04/1.10 thf(decl_45, type, esk16_0: a). 5.04/1.10 thf(decl_46, type, esk17_0: a). 5.04/1.10 thf(decl_47, type, esk18_0: a). 5.04/1.10 thf(decl_48, type, esk19_0: a). 5.04/1.10 thf(decl_49, type, esk20_0: a). 5.04/1.10 thf(decl_50, type, esk21_0: a). 5.04/1.10 thf(decl_51, type, esk22_0: a). 5.04/1.10 thf(decl_52, type, esk23_0: a). 5.04/1.10 thf(decl_53, type, esk24_0: a). 5.04/1.10 thf(decl_54, type, esk25_2: a > (a > $o) > a). 5.04/1.10 thf(decl_55, type, esk26_0: a). 5.04/1.10 thf(decl_56, type, esk27_0: a). 5.04/1.10 thf(decl_57, type, esk28_0: a). 5.04/1.10 thf(decl_58, type, esk29_0: a). 5.04/1.10 thf(decl_59, type, esk30_2: a > (a > $o) > a). 5.04/1.10 thf(decl_60, type, esk31_0: a). 5.04/1.10 thf(decl_61, type, esk32_2: a > (a > $o) > a). 5.04/1.10 thf(decl_62, type, esk33_2: a > (a > $o) > a). 5.04/1.10 thf(decl_63, type, esk34_0: a). 5.04/1.10 thf(decl_64, type, esk35_0: a). 5.04/1.10 thf(decl_65, type, esk36_0: a). 5.04/1.10 thf(decl_66, type, esk37_0: a). 5.04/1.10 thf(decl_67, type, esk38_1: a > a). 5.04/1.10 thf(decl_68, type, esk39_0: a). 5.04/1.10 thf(decl_69, type, esk40_0: a). 5.04/1.10 thf(decl_70, type, esk41_0: a). 5.04/1.10 thf(decl_71, type, esk42_0: a). 5.04/1.10 thf(decl_72, type, esk43_0: a). 5.04/1.10 thf(decl_73, type, esk44_0: a). 5.04/1.10 thf(decl_74, type, esk45_0: a). 5.04/1.10 thf(decl_75, type, esk46_0: a). 5.04/1.10 thf(decl_76, type, esk47_0: a). 5.04/1.10 thf(decl_77, type, esk48_1: a > a). 5.04/1.10 thf(decl_78, type, esk49_1: a > a). 5.04/1.10 thf(decl_79, type, esk50_0: a). 5.04/1.10 thf(decl_80, type, esk51_0: a). 5.04/1.10 thf(decl_81, type, esk52_0: a). 5.04/1.10 thf(decl_82, type, esk53_0: a). 5.04/1.10 thf(decl_83, type, esk54_0: a). 5.04/1.10 thf(decl_84, type, esk55_0: a). 5.04/1.10 thf(decl_85, type, esk56_2: a > (a > $o) > a). 5.04/1.10 thf(decl_86, type, esk57_2: a > (a > $o) > a). 5.04/1.10 thf(decl_87, type, esk58_2: a > (a > $o) > a). 5.04/1.10 thf(decl_88, type, esk59_2: a > (a > $o) > a). 5.04/1.10 thf(decl_89, type, esk60_2: a > (a > $o) > a). 5.04/1.10 thf(decl_90, type, esk61_2: a > (a > $o) > a). 5.04/1.10 thf(decl_91, type, esk62_2: a > (a > $o) > a). 5.04/1.10 thf(decl_92, type, esk63_0: a). 5.04/1.10 thf(decl_93, type, esk64_0: a). 5.04/1.10 thf(decl_94, type, esk65_2: a > (a > $o) > a). 5.04/1.10 thf(decl_95, type, esk66_0: a). 5.04/1.10 thf(decl_96, type, esk67_2: a > (a > $o) > a). 5.04/1.10 thf(decl_97, type, esk68_0: a). 5.04/1.10 thf(decl_98, type, esk69_0: a). 5.04/1.10 thf(decl_99, type, esk70_0: a). 5.04/1.10 thf(decl_100, type, esk71_2: a > (a > $o) > a). 5.04/1.10 thf(decl_101, type, esk72_1: a > a). 5.04/1.10 thf(decl_102, type, esk73_0: a). 5.04/1.10 thf(decl_103, type, esk74_0: a). 5.04/1.10 thf(decl_104, type, esk75_0: a). 5.04/1.10 thf(decl_105, type, esk76_0: a). 5.04/1.10 thf(decl_106, type, esk77_1: a > a). 5.04/1.10 thf(decl_107, type, esk78_0: a). 5.04/1.10 thf(decl_108, type, esk79_0: a). 5.04/1.10 thf(decl_109, type, esk80_0: a). 5.04/1.10 thf(decl_110, type, esk81_1: a > a). 5.04/1.10 thf(decl_111, type, esk82_2: a > a > a). 5.04/1.10 thf(decl_112, type, esk83_1: a > a). 5.04/1.10 thf(decl_113, type, esk84_3: a > a > (a > $o) > a). 5.04/1.10 thf(decl_114, type, esk85_1: a > a). 5.04/1.10 thf(decl_115, type, esk86_0: a). 5.04/1.10 thf(decl_116, type, esk87_1: a > a). 5.04/1.10 thf(decl_117, type, esk88_1: a > a). 5.04/1.10 thf(cDOMLEMMA4_pme, conjecture, (![X1:(a > $o) > $o]:(((![X2:a > $o]:((![X3:a]:(((cE @ X3)=>(X1 @ (^[X4:a]:((((X3)=(X4))|(X2 @ X4)))))))<=(X1 @ X2)))&(X1 @ (^[X5:a]:(~($true)))))=>(X1 @ cE)))=>(![X2:a > $o]:(((cA @ X2)<=((cA @ X2)&![X6:a]:(((X2 @ X6)<=(cE @ X6))))))&![X2:a > $o]:((((cA @ X2)&![X6:a]:(((X2 @ X6)<=(cE @ X6))))=>?[X7:a > $o]:(((![X8:a > $o]:(((![X6:a]:(((X7 @ X6)=>(X8 @ X6)))&(cA @ X8))=>(![X6:a]:(((cE @ X6)=>(X8 @ X6)))&(cA @ X8))))&![X6:a]:(((X7 @ X6)=>(X2 @ X6))))&![X1:(a > $o) > $o]:((((X1 @ (^[X5:a]:(~($true))))&![X9:a > $o]:(((X1 @ X9)=>![X3:a]:(((X1 @ (^[X4:a]:((((X3)=(X4))|(X9 @ X4)))))<=(X7 @ X3))))))=>(X1 @ X7))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cDOMLEMMA4_pme)). 5.04/1.10 thf(c_0_1, plain, ((epred1_0)<=>![X2:a > $o]:((((cA @ X2)&![X6:a]:(((cE @ X6)=>(X2 @ X6))))=>?[X7:a > $o]:(((![X8:a > $o]:(((![X6:a]:(((X7 @ X6)=>(X8 @ X6)))&(cA @ X8))=>(![X6:a]:(((cE @ X6)=>(X8 @ X6)))&(cA @ X8))))&![X6:a]:(((X7 @ X6)=>(X2 @ X6))))&![X1:(a > $o) > $o]:((((X1 @ (^[Z0:a]:(~($true))))&![X9:a > $o]:(((X1 @ X9)=>![X3:a]:(((X7 @ X3)=>(X1 @ (^[Z0:a]:((((X3)=(Z0))|(X9 @ Z0))))))))))=>(X1 @ X7)))))))), introduced(definition)). 5.04/1.10 thf(c_0_2, negated_conjecture, ~((![X1:(a > $o) > $o]:(((![X2:a > $o]:(((X1 @ X2)=>![X3:a]:(((cE @ X3)=>(X1 @ (^[Z0:a]:((((X3)=(Z0))|(X2 @ Z0)))))))))&(X1 @ (^[Z0:a]:(~($true)))))=>(X1 @ cE)))=>(![X2:a > $o]:((((cA @ X2)&![X6:a]:(((cE @ X6)=>(X2 @ X6))))=>(cA @ X2)))&(epred1_0)))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cDOMLEMMA4_pme])])]), c_0_1])). 5.04/1.10 thf(c_0_3, negated_conjecture, ![X25:(a > $o) > $o, X29:a]:(((((X25 @ (epred2_1 @ X25))|~(X25 @ (^[Z0:a]:(~($true))))|(X25 @ cE))&(((cE @ (esk1_1 @ X25))|~(X25 @ (^[Z0:a]:(~($true))))|(X25 @ cE))&(~(X25 @ (^[Z0:a]:((((esk1_1 @ X25)=(Z0))|(epred2_1 @ X25 @ Z0)))))|~(X25 @ (^[Z0:a]:(~($true))))|(X25 @ cE))))&((((cA @ epred3_0)|~(epred1_0))&(~(cE @ X29)|(epred3_0 @ X29)|~(epred1_0)))&(~(cA @ epred3_0)|~(epred1_0))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])). 5.04/1.10 thf(c_0_4, negated_conjecture, ![X1:(a > $o) > $o]:(((X1 @ (epred2_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0:a]:(((($true))!=(($true))))))))), inference(split_conjunct,[status(thm)],[c_0_3])). 5.04/1.10 thf(c_0_5, plain, (![X2:a > $o]:((((cA @ X2)&![X6:a]:(((cE @ X6)=>(X2 @ X6))))=>?[X7:a > $o]:(((![X8:a > $o]:(((![X6:a]:(((X7 @ X6)=>(X8 @ X6)))&(cA @ X8))=>(![X6:a]:(((cE @ X6)=>(X8 @ X6)))&(cA @ X8))))&![X6:a]:(((X7 @ X6)=>(X2 @ X6))))&![X1:(a > $o) > $o]:((((X1 @ (^[Z0:a]:(~($true))))&![X9:a > $o]:(((X1 @ X9)=>![X3:a]:(((X7 @ X3)=>(X1 @ (^[Z0:a]:((((X3)=(Z0))|(X9 @ Z0))))))))))=>(X1 @ X7)))))))=>(epred1_0)), inference(split_equiv,[status(thm)],[c_0_1])). 5.04/1.10 thf(c_0_6, negated_conjecture, ![X1:(a > $o) > $o]:(((X1 @ (epred2_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0:a]:(~($true))))))), inference(cn,[status(thm)],[c_0_4])). 5.04/1.10 thf(c_0_7, plain, ![X31:a, X32:a > $o, X34:a, X38:a > $o, X39:a]:(((((cA @ epred4_0)|(epred1_0))&(~(cE @ X31)|(epred4_0 @ X31)|(epred1_0)))&(((((((epred6_1 @ X32 @ (^[Z0:a]:(~($true))))|((X32 @ (esk3_1 @ X32))|(~(X32 @ X34)|(epred5_1 @ X32 @ X34)))|(epred1_0))&(~(epred6_1 @ X32 @ X38)|(~(X32 @ X39)|(epred6_1 @ X32 @ (^[Z0:a]:((((X39)=(Z0))|(X38 @ Z0))))))|((X32 @ (esk3_1 @ X32))|(~(X32 @ X34)|(epred5_1 @ X32 @ X34)))|(epred1_0)))&(~(epred6_1 @ X32 @ X32)|((X32 @ (esk3_1 @ X32))|(~(X32 @ X34)|(epred5_1 @ X32 @ X34)))|(epred1_0)))&((((epred6_1 @ X32 @ (^[Z0:a]:(~($true))))|(~(epred4_0 @ (esk3_1 @ X32))|(~(X32 @ X34)|(epred5_1 @ X32 @ X34)))|(epred1_0))&(~(epred6_1 @ X32 @ X38)|(~(X32 @ X39)|(epred6_1 @ X32 @ (^[Z0:a]:((((X39)=(Z0))|(X38 @ Z0))))))|(~(epred4_0 @ (esk3_1 @ X32))|(~(X32 @ X34)|(epred5_1 @ X32 @ X34)))|(epred1_0)))&(~(epred6_1 @ X32 @ X32)|(~(epred4_0 @ (esk3_1 @ X32))|(~(X32 @ X34)|(epred5_1 @ X32 @ X34)))|(epred1_0))))&(((((epred6_1 @ X32 @ (^[Z0:a]:(~($true))))|((X32 @ (esk3_1 @ X32))|(cA @ (epred5_1 @ X32)))|(epred1_0))&(~(epred6_1 @ X32 @ X38)|(~(X32 @ X39)|(epred6_1 @ X32 @ (^[Z0:a]:((((X39)=(Z0))|(X38 @ Z0))))))|((X32 @ (esk3_1 @ X32))|(cA @ (epred5_1 @ X32)))|(epred1_0)))&(~(epred6_1 @ X32 @ X32)|((X32 @ (esk3_1 @ X32))|(cA @ (epred5_1 @ X32)))|(epred1_0)))&((((epred6_1 @ X32 @ (^[Z0:a]:(~($true))))|(~(epred4_0 @ (esk3_1 @ X32))|(cA @ (epred5_1 @ X32)))|(epred1_0))&(~(epred6_1 @ X32 @ X38)|(~(X32 @ X39)|(epred6_1 @ X32 @ (^[Z0:a]:((((X39)=(Z0))|(X38 @ Z0))))))|(~(epred4_0 @ (esk3_1 @ X32))|(cA @ (epred5_1 @ X32)))|(epred1_0)))&(~(epred6_1 @ X32 @ X32)|(~(epred4_0 @ (esk3_1 @ X32))|(cA @ (epred5_1 @ X32)))|(epred1_0)))))&((((((epred6_1 @ X32 @ (^[Z0:a]:(~($true))))|((X32 @ (esk3_1 @ X32))|((cE @ (esk2_1 @ X32))|~(cA @ (epred5_1 @ X32))))|(epred1_0))&(~(epred6_1 @ X32 @ X38)|(~(X32 @ X39)|(epred6_1 @ X32 @ (^[Z0:a]:((((X39)=(Z0))|(X38 @ Z0))))))|((X32 @ (esk3_1 @ X32))|((cE @ (esk2_1 @ X32))|~(cA @ (epred5_1 @ X32))))|(epred1_0)))&(~(epred6_1 @ X32 @ X32)|((X32 @ (esk3_1 @ X32))|((cE @ (esk2_1 @ X32))|~(cA @ (epred5_1 @ X32))))|(epred1_0)))&((((epred6_1 @ X32 @ (^[Z0:a]:(~($true))))|(~(epred4_0 @ (esk3_1 @ X32))|((cE @ (esk2_1 @ X32))|~(cA @ (epred5_1 @ X32))))|(epred1_0))&(~(epred6_1 @ X32 @ X38)|(~(X32 @ X39)|(epred6_1 @ X32 @ (^[Z0:a]:((((X39)=(Z0))|(X38 @ Z0))))))|(~(epred4_0 @ (esk3_1 @ X32))|((cE @ (esk2_1 @ X32))|~(cA @ (epred5_1 @ X32))))|(epred1_0)))&(~(epred6_1 @ X32 @ X32)|(~(epred4_0 @ (esk3_1 @ X32))|((cE @ (esk2_1 @ X32))|~(cA @ (epred5_1 @ X32))))|(epred1_0))))&(((((epred6_1 @ X32 @ (^[Z0:a]:(~($true))))|((X32 @ (esk3_1 @ X32))|(~(epred5_1 @ X32 @ (esk2_1 @ X32))|~(cA @ (epred5_1 @ X32))))|(epred1_0))&(~(epred6_1 @ X32 @ X38)|(~(X32 @ X39)|(epred6_1 @ X32 @ (^[Z0:a]:((((X39)=(Z0))|(X38 @ Z0))))))|((X32 @ (esk3_1 @ X32))|(~(epred5_1 @ X32 @ (esk2_1 @ X32))|~(cA @ (epred5_1 @ X32))))|(epred1_0)))&(~(epred6_1 @ X32 @ X32)|((X32 @ (esk3_1 @ X32))|(~(epred5_1 @ X32 @ (esk2_1 @ X32))|~(cA @ (epred5_1 @ X32))))|(epred1_0)))&((((epred6_1 @ X32 @ (^[Z0:a]:(~($true))))|(~(epred4_0 @ (esk3_1 @ X32))|(~(epred5_1 @ X32 @ (esk2_1 @ X32))|~(cA @ (epred5_1 @ X32))))|(epred1_0))&(~(epred6_1 @ X32 @ X38)|(~(X32 @ X39)|(epred6_1 @ X32 @ (^[Z0:a]:((((X39)=(Z0))|(X38 @ Z0))))))|(~(epred4_0 @ (esk3_1 @ X32))|(~(epred5_1 @ X32 @ (esk2_1 @ X32))|~(cA @ (epred5_1 @ X32))))|(epred1_0)))&(~(epred6_1 @ X32 @ X32)|(~(epred4_0 @ (esk3_1 @ X32))|(~(epred5_1 @ X32 @ (esk2_1 @ X32))|~(cA @ (epred5_1 @ X32))))|(epred1_0)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])). 5.04/1.10 thf(c_0_8, negated_conjecture, (~((cA @ epred3_0))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_3])). 5.04/1.10 thf(c_0_9, negated_conjecture, ((cA @ epred3_0)|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_3])). 5.04/1.10 thf(c_0_10, plain, ![X1:(a > $o) > $o]:(((X1 @ cE)|((X1 @ (epred2_1 @ X1))<~>(X1 @ cE))|~((X1 @ (^[Z0:a]:(~($true))))))), inference(ext_eqfact,[status(thm)],[c_0_6])). 5.04/1.10 thf(c_0_11, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(((($true))!=(($true))))))|(X2 @ (esk3_1 @ X2))|(cE @ (esk2_1 @ X2))|(epred1_0)|~((cA @ (epred5_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_12, negated_conjecture, ~((epred1_0)), inference(csr,[status(thm)],[c_0_8, c_0_9])). 5.04/1.10 thf(c_0_13, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(((($true))!=(($true))))))|(X2 @ (esk3_1 @ X2))|(cA @ (epred5_1 @ X2))|(epred1_0))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_14, plain, ![X1:(a > $o) > $o]:(((X1 @ (epred2_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0:a]:(~($true))))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic cnf,[status(thm)],[c_0_10])])])). 5.04/1.10 thf(c_0_15, plain, ![X2:a > $o, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:(((($true))!=(($true))))))|(X2 @ (esk3_1 @ X2))|(epred5_1 @ X2 @ X3)|(epred1_0)|~((X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_16, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|(cE @ (esk2_1 @ X2))|(X2 @ (esk3_1 @ X2))|~((cA @ (epred5_1 @ X2))))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_11, c_0_12])])). 5.04/1.10 thf(c_0_17, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|(cA @ (epred5_1 @ X2))|(X2 @ (esk3_1 @ X2)))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_13, c_0_12])])). 5.04/1.10 thf(c_0_18, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(((($true))!=(($true))))))|(X2 @ (esk3_1 @ X2))|(epred1_0)|~((epred5_1 @ X2 @ (esk2_1 @ X2)))|~((cA @ (epred5_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_19, plain, ![X2:a > $o, X7:a > $o, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(X2 @ (esk3_1 @ X2))|(cA @ (epred5_1 @ X2))|(epred1_0)|~((epred6_1 @ X2 @ X7))|~((X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_20, plain, ![X1:(a > $o) > $o]:(((X1 @ cE)|((X1 @ (epred2_1 @ X1))<~>(X1 @ cE))|~((X1 @ (^[Z0:a]:(~($true))))))), inference(ext_eqfact,[status(thm)],[c_0_14])). 5.04/1.10 thf(c_0_21, plain, ![X2:a > $o, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|(X2 @ (esk3_1 @ X2))|(epred5_1 @ X2 @ X3)|~((X2 @ X3)))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_15, c_0_12])])). 5.04/1.10 thf(c_0_22, plain, ![X2:a > $o]:(((cE @ (esk2_1 @ X2))|(epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|(X2 @ (esk3_1 @ X2)))), inference(csr,[status(thm)],[c_0_16, c_0_17])). 5.04/1.10 thf(c_0_23, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|(X2 @ (esk3_1 @ X2))|~((epred5_1 @ X2 @ (esk2_1 @ X2)))|~((cA @ (epred5_1 @ X2))))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_18, c_0_12])])). 5.04/1.10 thf(c_0_24, plain, ![X7:a > $o, X3:a, X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(X2 @ (esk3_1 @ X2))|(cE @ (esk2_1 @ X2))|(epred1_0)|~((epred6_1 @ X2 @ X7))|~((X2 @ X3))|~((cA @ (epred5_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_25, plain, ![X2:a > $o, X7:a > $o, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(cA @ (epred5_1 @ X2))|(X2 @ (esk3_1 @ X2))|~((epred6_1 @ X2 @ X7))|~((X2 @ X3)))), inference(sr,[status(thm)],[c_0_19, c_0_12])). 5.04/1.10 thf(c_0_26, plain, ![X1:(a > $o) > $o]:(((X1 @ (epred2_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0:a]:(~($true))))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic cnf,[status(thm)],[c_0_20])])])). 5.04/1.10 thf(c_0_27, negated_conjecture, ![X1:(a > $o) > $o]:(((cE @ (esk1_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0:a]:(((($true))!=(($true))))))))), inference(split_conjunct,[status(thm)],[c_0_3])). 5.04/1.10 thf(c_0_28, plain, ![X2:a > $o]:(((epred5_1 @ cE @ (esk2_1 @ X2))|(cE @ (esk3_1 @ cE))|(epred6_1 @ cE @ (^[Z0:a]:(~($true))))|(epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|(X2 @ (esk3_1 @ X2)))), inference(spm,[status(thm)],[c_0_21, c_0_22])). 5.04/1.10 thf(c_0_29, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|(X2 @ (esk3_1 @ X2))|~((epred5_1 @ X2 @ (esk2_1 @ X2))))), inference(csr,[status(thm)],[c_0_23, c_0_17])). 5.04/1.10 thf(c_0_30, plain, ![X2:a > $o]:(((X2 @ (esk3_1 @ X2))|(cA @ (epred5_1 @ X2))|(epred1_0)|~((epred6_1 @ X2 @ X2)))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_31, plain, ![X2:a > $o, X7:a > $o, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(cE @ (esk2_1 @ X2))|(X2 @ (esk3_1 @ X2))|~((epred6_1 @ X2 @ X7))|~((X2 @ X3)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_24, c_0_12]), c_0_25])). 5.04/1.10 thf(c_0_32, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (epred2_1 @ (epred6_1 @ X2)))|(cE @ (esk2_1 @ X2))|(epred6_1 @ X2 @ cE)|(X2 @ (esk3_1 @ X2)))), inference(spm,[status(thm)],[c_0_26, c_0_22])). 5.04/1.10 thf(c_0_33, negated_conjecture, ![X1:(a > $o) > $o]:(((cE @ (esk1_1 @ X1))|(X1 @ cE)|~((X1 @ (^[Z0:a]:(~($true))))))), inference(cn,[status(thm)],[c_0_27])). 5.04/1.10 thf(c_0_34, plain, ((epred6_1 @ cE @ (^[Z0:a]:(~($true))))|(cE @ (esk3_1 @ cE))), inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_28]), c_0_29])). 5.04/1.10 thf(c_0_35, plain, ![X2:a > $o]:(((X2 @ (esk3_1 @ X2))|(cE @ (esk2_1 @ X2))|(epred1_0)|~((epred6_1 @ X2 @ X2))|~((cA @ (epred5_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_36, plain, ![X2:a > $o]:(((cA @ (epred5_1 @ X2))|(X2 @ (esk3_1 @ X2))|~((epred6_1 @ X2 @ X2)))), inference(sr,[status(thm)],[c_0_30, c_0_12])). 5.04/1.10 thf(c_0_37, negated_conjecture, ![X1:(a > $o) > $o]:(((X1 @ cE)|~((X1 @ (^[Z0:a]:((((esk1_1 @ X1)=(Z0))|(epred2_1 @ X1 @ Z0))))))|~((X1 @ (^[Z0:a]:(((($true))!=(($true))))))))), inference(split_conjunct,[status(thm)],[c_0_3])). 5.04/1.10 thf(c_0_38, plain, ![X2:a > $o, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(epred2_1 @ (epred6_1 @ X2) @ Z0)))))|(epred6_1 @ X2 @ cE)|(cE @ (esk2_1 @ X2))|(X2 @ (esk3_1 @ X2))|~((X2 @ X3)))), inference(spm,[status(thm)],[c_0_31, c_0_32])). 5.04/1.10 thf(c_0_39, negated_conjecture, ((cE @ (esk1_1 @ (epred6_1 @ cE)))|(cE @ (esk3_1 @ cE))|(epred6_1 @ cE @ cE)), inference(spm,[status(thm)],[c_0_33, c_0_34])). 5.04/1.10 thf(c_0_40, plain, ![X2:a > $o]:(((cE @ (esk2_1 @ X2))|(X2 @ (esk3_1 @ X2))|~((epred6_1 @ X2 @ X2)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_35, c_0_12]), c_0_36])). 5.04/1.10 thf(c_0_41, plain, ![X2:a > $o, X3:a]:(((X2 @ (esk3_1 @ X2))|(epred5_1 @ X2 @ X3)|(epred1_0)|~((epred6_1 @ X2 @ X2))|~((X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_42, negated_conjecture, ![X1:(a > $o) > $o]:(((X1 @ cE)|~((X1 @ (^[Z0:a]:((((esk1_1 @ X1)=(Z0))|(epred2_1 @ X1 @ Z0))))))|~((X1 @ (^[Z0:a]:(~($true))))))), inference(cn,[status(thm)],[c_0_37])). 5.04/1.10 thf(c_0_43, negated_conjecture, ((epred6_1 @ cE @ (^[Z0:a]:((((esk1_1 @ (epred6_1 @ cE))=(Z0))|(epred2_1 @ (epred6_1 @ cE) @ Z0)))))|(cE @ (esk3_1 @ cE))|(cE @ (esk2_1 @ cE))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_40])). 5.04/1.10 thf(c_0_44, plain, ![X2:a > $o]:(((X2 @ (esk3_1 @ X2))|(epred1_0)|~((epred6_1 @ X2 @ X2))|~((epred5_1 @ X2 @ (esk2_1 @ X2)))|~((cA @ (epred5_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_45, plain, ![X3:a]:(((epred4_0 @ X3)|(epred1_0)|~((cE @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_46, plain, ![X2:a > $o, X3:a]:(((X2 @ (esk3_1 @ X2))|(epred5_1 @ X2 @ X3)|~((epred6_1 @ X2 @ X2))|~((X2 @ X3)))), inference(sr,[status(thm)],[c_0_41, c_0_12])). 5.04/1.10 thf(c_0_47, negated_conjecture, ((cE @ (esk2_1 @ cE))|(cE @ (esk3_1 @ cE))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_22]), c_0_40])). 5.04/1.10 thf(c_0_48, plain, ![X2:a > $o]:(((X2 @ (esk3_1 @ X2))|~((epred5_1 @ X2 @ (esk2_1 @ X2)))|~((epred6_1 @ X2 @ X2)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_44, c_0_12]), c_0_36])). 5.04/1.10 thf(c_0_49, plain, ![X2:a > $o, X3:a]:(((epred5_1 @ X2 @ X3)|(epred1_0)|~((epred6_1 @ X2 @ X2))|~((epred4_0 @ (esk3_1 @ X2)))|~((X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_50, plain, ![X3:a]:(((epred4_0 @ X3)|~((cE @ X3)))), inference(sr,[status(thm)],[c_0_45, c_0_12])). 5.04/1.10 thf(c_0_51, plain, ((cE @ (esk3_1 @ cE))|~((epred6_1 @ cE @ cE))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_48])). 5.04/1.10 thf(c_0_52, plain, ![X2:a > $o]:(((cA @ (epred5_1 @ X2))|(epred1_0)|~((epred6_1 @ X2 @ X2))|~((epred4_0 @ (esk3_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_53, plain, ![X2:a > $o, X3:a]:(((epred5_1 @ X2 @ X3)|~((epred4_0 @ (esk3_1 @ X2)))|~((epred6_1 @ X2 @ X2))|~((X2 @ X3)))), inference(sr,[status(thm)],[c_0_49, c_0_12])). 5.04/1.10 thf(c_0_54, plain, ((epred4_0 @ (esk3_1 @ cE))|~((epred6_1 @ cE @ cE))), inference(spm,[status(thm)],[c_0_50, c_0_51])). 5.04/1.10 thf(c_0_55, plain, ![X2:a > $o]:(((cE @ (esk2_1 @ X2))|(epred1_0)|~((epred6_1 @ X2 @ X2))|~((epred4_0 @ (esk3_1 @ X2)))|~((cA @ (epred5_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_56, plain, ![X2:a > $o]:(((cA @ (epred5_1 @ X2))|~((epred4_0 @ (esk3_1 @ X2)))|~((epred6_1 @ X2 @ X2)))), inference(sr,[status(thm)],[c_0_52, c_0_12])). 5.04/1.10 thf(c_0_57, plain, ![X2:a > $o, X3:a, X7:a > $o, X4:a]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(X2 @ (esk3_1 @ X2))|(epred5_1 @ X2 @ X4)|(epred1_0)|~((epred6_1 @ X2 @ X7))|~((X2 @ X3))|~((X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_58, plain, ![X2:a > $o]:(((epred1_0)|~((epred6_1 @ X2 @ X2))|~((epred4_0 @ (esk3_1 @ X2)))|~((epred5_1 @ X2 @ (esk2_1 @ X2)))|~((cA @ (epred5_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_59, plain, ![X3:a]:(((epred5_1 @ cE @ X3)|~((epred6_1 @ cE @ cE))|~((cE @ X3)))), inference(spm,[status(thm)],[c_0_53, c_0_54])). 5.04/1.10 thf(c_0_60, plain, ![X2:a > $o]:(((cE @ (esk2_1 @ X2))|~((epred4_0 @ (esk3_1 @ X2)))|~((epred6_1 @ X2 @ X2)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_55, c_0_12]), c_0_56])). 5.04/1.10 thf(c_0_61, plain, ![X2:a > $o, X7:a > $o, X4:a, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(X2 @ (esk3_1 @ X2))|(epred5_1 @ X2 @ X4)|~((epred6_1 @ X2 @ X7))|~((X2 @ X4))|~((X2 @ X3)))), inference(sr,[status(thm)],[c_0_57, c_0_12])). 5.04/1.10 thf(c_0_62, plain, ((epred6_1 @ cE @ (epred2_1 @ (epred6_1 @ cE)))|(cE @ (esk3_1 @ cE))|(epred6_1 @ cE @ cE)), inference(spm,[status(thm)],[c_0_26, c_0_34])). 5.04/1.10 thf(c_0_63, plain, ![X2:a > $o]:((~((epred5_1 @ X2 @ (esk2_1 @ X2)))|~((epred4_0 @ (esk3_1 @ X2)))|~((epred6_1 @ X2 @ X2)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_58, c_0_12]), c_0_56])). 5.04/1.10 thf(c_0_64, plain, ![X2:a > $o]:(((epred5_1 @ cE @ (esk2_1 @ X2))|~((epred6_1 @ cE @ cE))|~((epred4_0 @ (esk3_1 @ X2)))|~((epred6_1 @ X2 @ X2)))), inference(spm,[status(thm)],[c_0_59, c_0_60])). 5.04/1.10 thf(c_0_65, plain, ![X4:a, X3:a]:(((epred6_1 @ cE @ (^[Z0:a]:((((X3)=(Z0))|(epred2_1 @ (epred6_1 @ cE) @ Z0)))))|(cE @ (esk3_1 @ cE))|(epred5_1 @ cE @ X4)|~((cE @ X4))|~((cE @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_46])). 5.04/1.10 thf(c_0_66, plain, ~((epred6_1 @ cE @ cE)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_54])). 5.04/1.10 thf(c_0_67, plain, ![X7:a > $o, X3:a, X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(X2 @ (esk3_1 @ X2))|(epred1_0)|~((epred6_1 @ X2 @ X7))|~((X2 @ X3))|~((epred5_1 @ X2 @ (esk2_1 @ X2)))|~((cA @ (epred5_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_68, plain, ![X3:a]:(((epred6_1 @ cE @ (^[Z0:a]:((((X3)=(Z0))|(epred2_1 @ (epred6_1 @ cE) @ Z0)))))|(epred5_1 @ cE @ (esk2_1 @ cE))|(cE @ (esk3_1 @ cE))|~((cE @ X3)))), inference(spm,[status(thm)],[c_0_65, c_0_47])). 5.04/1.10 thf(c_0_69, negated_conjecture, ((cE @ (esk1_1 @ (epred6_1 @ cE)))|(cE @ (esk3_1 @ cE))), inference(sr,[status(thm)],[c_0_39, c_0_66])). 5.04/1.10 thf(c_0_70, plain, ![X2:a > $o, X7:a > $o, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(X2 @ (esk3_1 @ X2))|~((epred5_1 @ X2 @ (esk2_1 @ X2)))|~((epred6_1 @ X2 @ X7))|~((X2 @ X3)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_67, c_0_12]), c_0_25])). 5.04/1.10 thf(c_0_71, negated_conjecture, ((epred5_1 @ cE @ (esk2_1 @ cE))|(cE @ (esk3_1 @ cE))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_68]), c_0_66]), c_0_34]), c_0_69])). 5.04/1.10 thf(c_0_72, plain, ![X2:a > $o, X3:a]:(((epred6_1 @ cE @ (^[Z0:a]:((((X3)=(Z0))|(X2 @ Z0)))))|(cE @ (esk3_1 @ cE))|~((epred6_1 @ cE @ X2))|~((cE @ X3)))), inference(spm,[status(thm)],[c_0_70, c_0_71])). 5.04/1.10 thf(c_0_73, plain, ((epred6_1 @ cE @ (epred2_1 @ (epred6_1 @ cE)))|(cE @ (esk3_1 @ cE))), inference(sr,[status(thm)],[c_0_62, c_0_66])). 5.04/1.10 thf(c_0_74, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(((($true))!=(($true))))))|(cE @ (esk2_1 @ X2))|(epred1_0)|~((epred4_0 @ (esk3_1 @ X2)))|~((cA @ (epred5_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_75, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(((($true))!=(($true))))))|(cA @ (epred5_1 @ X2))|(epred1_0)|~((epred4_0 @ (esk3_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_76, plain, ![X3:a]:(((epred6_1 @ cE @ (^[Z0:a]:((((X3)=(Z0))|(epred2_1 @ (epred6_1 @ cE) @ Z0)))))|(cE @ (esk3_1 @ cE))|~((cE @ X3)))), inference(spm,[status(thm)],[c_0_72, c_0_73])). 5.04/1.10 thf(c_0_77, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|(cE @ (esk2_1 @ X2))|~((cA @ (epred5_1 @ X2)))|~((epred4_0 @ (esk3_1 @ X2))))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_74, c_0_12])])). 5.04/1.10 thf(c_0_78, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|(cA @ (epred5_1 @ X2))|~((epred4_0 @ (esk3_1 @ X2))))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_75, c_0_12])])). 5.04/1.10 thf(c_0_79, negated_conjecture, (cE @ (esk3_1 @ cE)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_76]), c_0_66]), c_0_34]), c_0_69])). 5.04/1.10 thf(c_0_80, plain, ![X7:a > $o, X3:a, X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(cA @ (epred5_1 @ X2))|(epred1_0)|~((epred6_1 @ X2 @ X7))|~((X2 @ X3))|~((epred4_0 @ (esk3_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_81, plain, ![X2:a > $o]:(((cE @ (esk2_1 @ X2))|(epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|~((epred4_0 @ (esk3_1 @ X2))))), inference(csr,[status(thm)],[c_0_77, c_0_78])). 5.04/1.10 thf(c_0_82, plain, (epred4_0 @ (esk3_1 @ cE)), inference(spm,[status(thm)],[c_0_50, c_0_79])). 5.04/1.10 thf(c_0_83, plain, ![X7:a > $o, X3:a, X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(cE @ (esk2_1 @ X2))|(epred1_0)|~((epred6_1 @ X2 @ X7))|~((X2 @ X3))|~((epred4_0 @ (esk3_1 @ X2)))|~((cA @ (epred5_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_84, plain, ![X2:a > $o, X7:a > $o, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(cA @ (epred5_1 @ X2))|~((epred4_0 @ (esk3_1 @ X2)))|~((epred6_1 @ X2 @ X7))|~((X2 @ X3)))), inference(sr,[status(thm)],[c_0_80, c_0_12])). 5.04/1.10 thf(c_0_85, plain, ((epred6_1 @ cE @ (^[Z0:a]:(~($true))))|(cE @ (esk2_1 @ cE))), inference(spm,[status(thm)],[c_0_81, c_0_82])). 5.04/1.10 thf(c_0_86, plain, ![X2:a > $o, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:(((($true))!=(($true))))))|(epred5_1 @ X2 @ X3)|(epred1_0)|~((epred4_0 @ (esk3_1 @ X2)))|~((X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_87, plain, ![X2:a > $o, X7:a > $o, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(cE @ (esk2_1 @ X2))|~((epred4_0 @ (esk3_1 @ X2)))|~((epred6_1 @ X2 @ X7))|~((X2 @ X3)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_83, c_0_12]), c_0_84])). 5.04/1.10 thf(c_0_88, plain, ((epred6_1 @ cE @ (epred2_1 @ (epred6_1 @ cE)))|(cE @ (esk2_1 @ cE))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_85]), c_0_66])). 5.04/1.10 thf(c_0_89, plain, ![X2:a > $o, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|(epred5_1 @ X2 @ X3)|~((epred4_0 @ (esk3_1 @ X2)))|~((X2 @ X3)))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_86, c_0_12])])). 5.04/1.10 thf(c_0_90, plain, ![X3:a]:(((epred6_1 @ cE @ (^[Z0:a]:((((X3)=(Z0))|(epred2_1 @ (epred6_1 @ cE) @ Z0)))))|(cE @ (esk2_1 @ cE))|~((cE @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87, c_0_88]), c_0_82])])). 5.04/1.10 thf(c_0_91, negated_conjecture, ((cE @ (esk1_1 @ (epred6_1 @ cE)))|(cE @ (esk2_1 @ cE))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_85]), c_0_66])). 5.04/1.10 thf(c_0_92, plain, ![X2:a > $o, X3:a, X7:a > $o, X4:a]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(epred5_1 @ X2 @ X4)|(epred1_0)|~((epred6_1 @ X2 @ X7))|~((X2 @ X3))|~((epred4_0 @ (esk3_1 @ X2)))|~((X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_93, plain, ![X3:a]:(((epred6_1 @ cE @ (^[Z0:a]:(~($true))))|(epred5_1 @ cE @ X3)|~((cE @ X3)))), inference(spm,[status(thm)],[c_0_89, c_0_82])). 5.04/1.10 thf(c_0_94, negated_conjecture, (cE @ (esk2_1 @ cE)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_90]), c_0_66]), c_0_85]), c_0_91])). 5.04/1.10 thf(c_0_95, plain, ![X2:a > $o, X7:a > $o, X4:a, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(epred5_1 @ X2 @ X4)|~((epred4_0 @ (esk3_1 @ X2)))|~((epred6_1 @ X2 @ X7))|~((X2 @ X4))|~((X2 @ X3)))), inference(sr,[status(thm)],[c_0_92, c_0_12])). 5.04/1.10 thf(c_0_96, plain, ((epred5_1 @ cE @ (esk2_1 @ cE))|(epred6_1 @ cE @ (^[Z0:a]:(~($true))))), inference(spm,[status(thm)],[c_0_93, c_0_94])). 5.04/1.10 thf(c_0_97, plain, ![X2:a > $o, X4:a, X3:a]:(((epred6_1 @ cE @ (^[Z0:a]:((((X3)=(Z0))|(X2 @ Z0)))))|(epred5_1 @ cE @ X4)|~((epred6_1 @ cE @ X2))|~((cE @ X4))|~((cE @ X3)))), inference(spm,[status(thm)],[c_0_95, c_0_82])). 5.04/1.10 thf(c_0_98, plain, ((epred6_1 @ cE @ (epred2_1 @ (epred6_1 @ cE)))|(epred5_1 @ cE @ (esk2_1 @ cE))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_96]), c_0_66])). 5.04/1.10 thf(c_0_99, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(((($true))!=(($true))))))|(epred1_0)|~((epred4_0 @ (esk3_1 @ X2)))|~((epred5_1 @ X2 @ (esk2_1 @ X2)))|~((cA @ (epred5_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_100, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|((cA @ (epred5_1 @ X2))<~>(epred6_1 @ X2 @ (^[Z0:a]:(~($true)))))|~((epred4_0 @ (esk3_1 @ X2))))), inference(ext_eqfact,[status(thm)],[c_0_78])). 5.04/1.10 thf(c_0_101, plain, ![X4:a, X3:a]:(((epred6_1 @ cE @ (^[Z0:a]:((((X3)=(Z0))|(epred2_1 @ (epred6_1 @ cE) @ Z0)))))|(epred5_1 @ cE @ (esk2_1 @ cE))|(epred5_1 @ cE @ X4)|~((cE @ X4))|~((cE @ X3)))), inference(spm,[status(thm)],[c_0_97, c_0_98])). 5.04/1.10 thf(c_0_102, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|~((epred5_1 @ X2 @ (esk2_1 @ X2)))|~((cA @ (epred5_1 @ X2)))|~((epred4_0 @ (esk3_1 @ X2))))), inference(cn,[status(thm)],[inference(sr,[status(thm)],[c_0_99, c_0_12])])). 5.04/1.10 thf(c_0_103, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|(cA @ (epred5_1 @ X2))|~((epred4_0 @ (esk3_1 @ X2))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic cnf,[status(thm)],[c_0_100])])])). 5.04/1.10 thf(c_0_104, negated_conjecture, ![X3:a]:(((epred6_1 @ cE @ (^[Z0:a]:((((X3)=(Z0))|(epred2_1 @ (epred6_1 @ cE) @ Z0)))))|(epred5_1 @ cE @ (esk2_1 @ cE))|~((cE @ X3)))), inference(spm,[status(thm)],[c_0_101, c_0_94])). 5.04/1.10 thf(c_0_105, negated_conjecture, ((epred5_1 @ cE @ (esk2_1 @ cE))|(cE @ (esk1_1 @ (epred6_1 @ cE)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_96]), c_0_66])). 5.04/1.10 thf(c_0_106, plain, ![X7:a > $o, X3:a, X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|(epred1_0)|~((epred6_1 @ X2 @ X7))|~((X2 @ X3))|~((epred4_0 @ (esk3_1 @ X2)))|~((epred5_1 @ X2 @ (esk2_1 @ X2)))|~((cA @ (epred5_1 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_7])). 5.04/1.10 thf(c_0_107, plain, ![X2:a > $o]:(((epred6_1 @ X2 @ (^[Z0:a]:(~($true))))|~((epred5_1 @ X2 @ (esk2_1 @ X2)))|~((epred4_0 @ (esk3_1 @ X2))))), inference(csr,[status(thm)],[c_0_102, c_0_103])). 5.04/1.10 thf(c_0_108, negated_conjecture, (epred5_1 @ cE @ (esk2_1 @ cE)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_104]), c_0_66]), c_0_96]), c_0_105])). 5.04/1.10 thf(c_0_109, plain, ![X2:a > $o, X7:a > $o, X3:a]:(((epred6_1 @ X2 @ (^[Z0:a]:((((X3)=(Z0))|(X7 @ Z0)))))|~((epred5_1 @ X2 @ (esk2_1 @ X2)))|~((epred4_0 @ (esk3_1 @ X2)))|~((epred6_1 @ X2 @ X7))|~((X2 @ X3)))), inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_106, c_0_12]), c_0_84])). 5.04/1.10 thf(c_0_110, plain, (epred6_1 @ cE @ (^[Z0:a]:(~($true)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_108]), c_0_82])])). 5.04/1.10 thf(c_0_111, plain, ![X2:a > $o, X3:a]:(((epred6_1 @ cE @ (^[Z0:a]:((((X3)=(Z0))|(X2 @ Z0)))))|~((epred6_1 @ cE @ X2))|~((cE @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_108]), c_0_82])])). 5.04/1.10 thf(c_0_112, plain, (epred6_1 @ cE @ (epred2_1 @ (epred6_1 @ cE))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_110]), c_0_66])). 5.04/1.10 thf(c_0_113, plain, ![X3:a]:(((epred6_1 @ cE @ (^[Z0:a]:((((X3)=(Z0))|(epred2_1 @ (epred6_1 @ cE) @ Z0)))))|~((cE @ X3)))), inference(spm,[status(thm)],[c_0_111, c_0_112])). 5.04/1.10 thf(c_0_114, negated_conjecture, (cE @ (esk1_1 @ (epred6_1 @ cE))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_110]), c_0_66])). 5.04/1.10 thf(c_0_115, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_113]), c_0_110]), c_0_114])]), c_0_66]), ['proof']). 5.04/1.10 # SZS output end CNFRefutation 5.04/1.10 # Parsed axioms : 4 5.04/1.10 # Removed by relevancy pruning/SinE : 0 5.04/1.10 # Initial clauses : 35 5.04/1.10 # Removed in clause preprocessing : 3 5.04/1.10 # Initial clauses in saturation : 32 5.04/1.10 # Processed clauses : 2167 5.04/1.10 # ...of these trivial : 15 5.04/1.10 # ...subsumed : 921 5.04/1.10 # ...remaining for further processing : 1231 5.04/1.10 # Other redundant clauses eliminated : 221 5.04/1.10 # Clauses deleted for lack of memory : 0 5.04/1.10 # Backward-subsumed : 499 5.04/1.10 # Backward-rewritten : 303 5.04/1.10 # Generated clauses : 12182 5.04/1.10 # ...of the previous two non-redundant : 11003 5.04/1.10 # ...aggressively subsumed : 0 5.04/1.10 # Contextual simplify-reflections : 100 5.04/1.10 # Paramodulations : 11382 5.04/1.10 # Factorizations : 6 5.04/1.10 # NegExts : 85 5.04/1.10 # Equation resolutions : 222 5.04/1.10 # Propositional unsat checks : 0 5.04/1.10 # Propositional check models : 0 5.04/1.10 # Propositional check unsatisfiable : 0 5.04/1.10 # Propositional clauses : 0 5.04/1.10 # Propositional clauses after purity: 0 5.04/1.10 # Propositional unsat core size : 0 5.04/1.10 # Propositional preprocessing time : 0.000 5.04/1.10 # Propositional encoding time : 0.000 5.04/1.10 # Propositional solver time : 0.000 5.04/1.10 # Success case prop preproc time : 0.000 5.04/1.10 # Success case prop encoding time : 0.000 5.04/1.10 # Success case prop solver time : 0.000 5.04/1.10 # Current number of processed clauses : 335 5.04/1.10 # Positive orientable unit clauses : 29 5.04/1.10 # Positive unorientable unit clauses: 0 5.04/1.10 # Negative unit clauses : 6 5.04/1.10 # Non-unit-clauses : 300 5.04/1.10 # Current number of unprocessed clauses: 7600 5.04/1.10 # ...number of literals in the above : 50849 5.04/1.10 # Current number of archived formulas : 0 5.04/1.10 # Current number of archived clauses : 896 5.04/1.10 # Clause-clause subsumption calls (NU) : 132273 5.04/1.10 # Rec. Clause-clause subsumption calls : 14759 5.04/1.10 # Non-unit clause-clause subsumptions : 1378 5.04/1.10 # Unit Clause-clause subsumption calls : 2808 5.04/1.10 # Rewrite failures with RHS unbound : 0 5.04/1.10 # BW rewrite match attempts : 42 5.04/1.10 # BW rewrite match successes : 28 5.04/1.10 # Condensation attempts : 0 5.04/1.10 # Condensation successes : 0 5.04/1.10 # Termbank termtop insertions : 608266 5.04/1.10 5.04/1.10 # ------------------------------------------------- 5.04/1.10 # User time : 0.630 s 5.04/1.10 # System time : 0.011 s 5.04/1.10 # Total time : 0.641 s 5.04/1.10 # Maximum resident set size: 1960 pages 5.04/1.10 5.04/1.10 # ------------------------------------------------- 5.04/1.10 # User time : 2.480 s 5.04/1.10 # System time : 0.040 s 5.04/1.10 # Total time : 2.521 s 5.04/1.10 # Maximum resident set size: 1736 pages 5.04/1.10 EOF