0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n028.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 06:27:20 EDT 2022 0.13/0.34 % CPUTime : 0.19/0.48 Running higher-order on 8 cores theorem proving 0.19/0.48 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.19/0.48 # Version: 3.0pre003-ho 0.73/0.62 # Preprocessing class: HSMSSMSSMLLNHSN. 0.73/0.62 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.73/0.62 # Starting new_ho_10_cnf2 with 600s (5) cores 0.73/0.62 # Starting post_as_ho3 with 120s (1) cores 0.73/0.62 # Starting new_ho_12 with 120s (1) cores 0.73/0.62 # Starting new_bool_2 with 120s (1) cores 0.73/0.62 # post_as_ho3 with pid 9264 completed with status 0 0.73/0.62 # Result found by post_as_ho3 0.73/0.62 # Preprocessing class: HSMSSMSSMLLNHSN. 0.73/0.62 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.73/0.62 # Starting new_ho_10_cnf2 with 600s (5) cores 0.73/0.62 # Starting post_as_ho3 with 120s (1) cores 0.73/0.62 # No SInE strategy applied 0.73/0.62 # Search class: HGHNF-FFMF21-SHSSMSBN 0.73/0.62 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.73/0.62 # Starting new_ho_9 with 65s (1) cores 0.73/0.62 # new_ho_9 with pid 9268 completed with status 0 0.73/0.62 # Result found by new_ho_9 0.73/0.62 # Preprocessing class: HSMSSMSSMLLNHSN. 0.73/0.62 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.73/0.62 # Starting new_ho_10_cnf2 with 600s (5) cores 0.73/0.62 # Starting post_as_ho3 with 120s (1) cores 0.73/0.62 # No SInE strategy applied 0.73/0.62 # Search class: HGHNF-FFMF21-SHSSMSBN 0.73/0.62 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.73/0.62 # Starting new_ho_9 with 65s (1) cores 0.73/0.62 # Preprocessing time : 0.003 s 0.73/0.62 # Presaturation interreduction done 0.73/0.62 0.73/0.62 # Proof found! 0.73/0.62 # SZS status Theorem 0.73/0.62 # SZS output start CNFRefutation 0.73/0.62 thf(decl_22, type, meq_ind: mu > mu > $i > $o). 0.73/0.62 thf(decl_23, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 0.73/0.62 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 0.73/0.62 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.73/0.62 thf(decl_26, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.73/0.62 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.73/0.62 thf(decl_28, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 0.73/0.62 thf(decl_29, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 0.73/0.62 thf(decl_30, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 0.73/0.62 thf(decl_31, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.73/0.62 thf(decl_32, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.73/0.62 thf(decl_33, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.73/0.62 thf(decl_34, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 0.73/0.62 thf(decl_35, type, mtrue: $i > $o). 0.73/0.62 thf(decl_36, type, mfalse: $i > $o). 0.73/0.62 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.73/0.62 thf(decl_38, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.73/0.62 thf(decl_39, type, mreflexive: ($i > $i > $o) > $o). 0.73/0.62 thf(decl_40, type, msymmetric: ($i > $i > $o) > $o). 0.73/0.62 thf(decl_41, type, mserial: ($i > $i > $o) > $o). 0.73/0.62 thf(decl_42, type, mtransitive: ($i > $i > $o) > $o). 0.73/0.62 thf(decl_43, type, meuclidean: ($i > $i > $o) > $o). 0.73/0.62 thf(decl_44, type, mpartially_functional: ($i > $i > $o) > $o). 0.73/0.62 thf(decl_45, type, mfunctional: ($i > $i > $o) > $o). 0.73/0.62 thf(decl_46, type, mweakly_dense: ($i > $i > $o) > $o). 0.73/0.62 thf(decl_47, type, mweakly_connected: ($i > $i > $o) > $o). 0.73/0.62 thf(decl_48, type, mweakly_directed: ($i > $i > $o) > $o). 0.73/0.62 thf(decl_49, type, mvalid: ($i > $o) > $o). 0.73/0.62 thf(decl_50, type, minvalid: ($i > $o) > $o). 0.73/0.62 thf(decl_51, type, msatisfiable: ($i > $o) > $o). 0.73/0.62 thf(decl_52, type, mcountersatisfiable: ($i > $o) > $o). 0.73/0.62 thf(decl_53, type, c: reg > reg > $o). 0.73/0.62 thf(decl_54, type, dc: reg > reg > $o). 0.73/0.62 thf(decl_55, type, p: reg > reg > $o). 0.73/0.62 thf(decl_56, type, eq: reg > reg > $o). 0.73/0.62 thf(decl_57, type, o: reg > reg > $o). 0.73/0.62 thf(decl_58, type, po: reg > reg > $o). 0.73/0.62 thf(decl_59, type, ec: reg > reg > $o). 0.73/0.62 thf(decl_60, type, pp: reg > reg > $o). 0.73/0.62 thf(decl_61, type, tpp: reg > reg > $o). 0.73/0.62 thf(decl_62, type, ntpp: reg > reg > $o). 0.73/0.62 thf(decl_63, type, catalunya: reg). 0.73/0.62 thf(decl_64, type, france: reg). 0.73/0.62 thf(decl_65, type, spain: reg). 0.73/0.62 thf(decl_66, type, paris: reg). 0.73/0.62 thf(decl_67, type, a: $i > $i > $o). 0.73/0.62 thf(decl_68, type, fool: $i > $i > $o). 0.73/0.62 thf(decl_69, type, esk1_0: reg). 0.73/0.62 thf(decl_70, type, esk2_1: reg > reg). 0.73/0.62 thf(decl_71, type, esk3_1: reg > reg). 0.73/0.62 thf(decl_72, type, esk4_2: $i > ($i > $o) > $i). 0.73/0.62 thf(decl_73, type, esk5_0: $i). 0.73/0.62 thf(decl_74, type, esk6_0: $i). 0.73/0.62 thf(decl_75, type, esk7_0: reg). 0.73/0.62 thf(decl_76, type, esk8_0: reg). 0.73/0.62 thf(decl_77, type, esk9_0: reg). 0.73/0.62 thf(decl_78, type, esk10_1: reg > reg). 0.73/0.62 thf(decl_79, type, esk11_1: reg > reg). 0.73/0.62 thf(decl_80, type, esk12_1: reg > reg). 0.73/0.62 thf(decl_81, type, esk13_1: reg > reg). 0.73/0.62 thf(decl_82, type, esk14_0: reg). 0.73/0.62 thf(decl_83, type, esk15_0: reg). 0.73/0.62 thf(decl_84, type, esk16_1: reg > reg). 0.73/0.62 thf(decl_85, type, esk17_1: reg > reg). 0.73/0.62 thf(decl_86, type, esk18_1: reg > reg). 0.73/0.62 thf(decl_87, type, esk19_1: reg > reg). 0.73/0.62 thf(decl_88, type, esk20_2: $i > ($i > $o) > $i). 0.73/0.62 thf(decl_89, type, esk21_1: reg > reg). 0.73/0.62 thf(decl_90, type, esk22_1: reg > reg). 0.73/0.62 thf(decl_91, type, esk23_2: $i > ($i > $o) > $i). 0.73/0.62 thf(decl_92, type, epred1_0: $o). 0.73/0.62 thf(decl_93, type, epred2_0: $o). 0.73/0.62 thf(decl_94, type, epred3_0: $o). 0.73/0.62 thf(decl_95, type, epred4_0: $o). 0.73/0.62 thf(decl_96, type, epred5_0: $o). 0.73/0.62 thf(decl_97, type, epred6_0: $o). 0.73/0.62 thf(decl_98, type, epred7_0: $o). 0.73/0.62 thf(decl_99, type, epred8_0: $o). 0.73/0.62 thf(decl_100, type, epred9_0: $o). 0.73/0.62 thf(decl_101, type, epred10_0: $o). 0.73/0.62 thf(decl_102, type, epred11_0: $o). 0.73/0.62 thf(decl_103, type, epred12_0: $o). 0.73/0.62 thf(decl_104, type, epred13_0: $o). 0.73/0.62 thf(decl_105, type, epred14_0: $o). 0.73/0.62 thf(decl_106, type, epred15_0: $o). 0.73/0.62 thf(decl_107, type, epred16_0: $o). 0.73/0.62 thf(decl_108, type, epred17_0: $o). 0.73/0.62 thf(decl_109, type, epred18_0: $o). 0.73/0.62 thf(decl_110, type, epred19_0: $o). 0.73/0.62 thf(decl_111, type, epred20_0: $o). 0.73/0.62 thf(decl_112, type, epred21_0: $o). 0.73/0.62 thf(decl_113, type, epred22_0: $o). 0.73/0.62 thf(decl_114, type, epred23_0: $o). 0.73/0.62 thf(decl_115, type, epred24_0: $o). 0.73/0.62 thf(decl_116, type, epred25_0: $o). 0.73/0.62 thf(decl_117, type, epred26_0: $o). 0.73/0.62 thf(decl_118, type, epred27_0: $o). 0.73/0.62 thf(decl_119, type, epred28_0: $o). 0.73/0.62 thf(decl_120, type, epred29_0: $o). 0.73/0.62 thf(decl_121, type, epred30_0: $o). 0.73/0.62 thf(decl_122, type, epred31_0: $o). 0.73/0.62 thf(decl_123, type, epred32_0: $o). 0.73/0.62 thf(decl_124, type, epred33_0: $o). 0.73/0.62 thf(decl_125, type, epred34_0: $o). 0.73/0.62 thf(decl_126, type, epred35_0: $o). 0.73/0.62 thf(decl_127, type, epred36_0: $o). 0.73/0.62 thf(decl_128, type, epred37_0: $o). 0.73/0.62 thf(decl_129, type, epred38_0: $o). 0.73/0.62 thf(decl_130, type, epred39_0: $o). 0.73/0.62 thf(decl_131, type, epred40_0: $o). 0.73/0.62 thf(decl_132, type, epred41_0: $o). 0.73/0.62 thf(decl_133, type, epred42_0: $o). 0.73/0.62 thf(decl_134, type, epred43_0: $o). 0.73/0.62 thf(decl_135, type, epred44_0: $o). 0.73/0.62 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:(((p @ X22 @ X25)&(p @ X22 @ X26)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax', o)). 0.73/0.62 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:(((c @ X22 @ X20)=>(c @ X22 @ X21)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax', p)). 0.73/0.62 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:(((c @ X29 @ X30)&~((o @ X29 @ X30)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax', ec)). 0.73/0.62 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:(((p @ X31 @ X32)&~((p @ X32 @ X31)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax', pp)). 0.73/0.62 thf(ntpp, axiom, ((ntpp)=(^[X35:reg, X36:reg]:(((pp @ X35 @ X36)&~(?[X22:reg]:(((ec @ X22 @ X35)&(ec @ X22 @ X36)))))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax', ntpp)). 0.73/0.62 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mbox)). 0.73/0.62 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mvalid)). 0.73/0.62 thf(tpp, axiom, ((tpp)=(^[X33:reg, X34:reg]:(((pp @ X33 @ X34)&?[X22:reg]:(((ec @ X22 @ X33)&(ec @ X22 @ X34))))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax', tpp)). 0.73/0.62 thf(ax3, axiom, (mvalid @ (mbox @ a @ (^[X40:$i]:((ntpp @ paris @ france))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax3)). 0.73/0.62 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X41:$i]:(![X22:reg]:((((o @ X22 @ catalunya)|(o @ X22 @ paris))=>((o @ X22 @ spain)|(o @ X22 @ france)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', con)). 0.73/0.62 thf(ax1, axiom, (mvalid @ (mbox @ a @ (^[X42:$i]:((tpp @ catalunya @ spain))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', ax1)). 0.73/0.62 thf(c_symmetric, axiom, ![X37:reg, X38:reg]:(((c @ X37 @ X38)=>(c @ X38 @ X37))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL014^0.ax', c_symmetric)). 0.73/0.62 thf(c_0_12, plain, ((o)=(^[Z0:reg, Z1:reg]:(?[X22:reg]:(((![X53:reg]:(((c @ X53 @ X22)=>(c @ X53 @ Z0))))&(![X54:reg]:(((c @ X54 @ X22)=>(c @ X54 @ Z1))))))))), inference(fof_simplification,[status(thm)],[o])). 0.73/0.62 thf(c_0_13, plain, ((p)=(^[Z0:reg, Z1:reg]:(![X22:reg]:(((c @ X22 @ Z0)=>(c @ X22 @ Z1)))))), inference(fof_simplification,[status(thm)],[p])). 0.73/0.62 thf(c_0_14, plain, ((ec)=(^[Z0:reg, Z1:reg]:(((c @ Z0 @ Z1)&~((?[X60:reg]:(((![X61:reg]:(((c @ X61 @ X60)=>(c @ X61 @ Z0))))&(![X62:reg]:(((c @ X62 @ X60)=>(c @ X62 @ Z1)))))))))))), inference(fof_simplification,[status(thm)],[ec])). 0.73/0.62 thf(c_0_15, plain, ((o)=(^[Z0:reg, Z1:reg]:(?[X22:reg]:(((![X53:reg]:(((c @ X53 @ X22)=>(c @ X53 @ Z0))))&(![X54:reg]:(((c @ X54 @ X22)=>(c @ X54 @ Z1))))))))), inference(apply_def,[status(thm)],[c_0_12, c_0_13])). 0.73/0.62 thf(c_0_16, plain, ((pp)=(^[Z0:reg, Z1:reg]:(((![X63:reg]:(((c @ X63 @ Z0)=>(c @ X63 @ Z1))))&~((![X64:reg]:(((c @ X64 @ Z1)=>(c @ X64 @ Z0))))))))), inference(fof_simplification,[status(thm)],[pp])). 0.73/0.62 thf(c_0_17, plain, ((ntpp)=(^[Z0:reg, Z1:reg]:(((((![X73:reg]:(((c @ X73 @ Z0)=>(c @ X73 @ Z1))))&~((![X74:reg]:(((c @ X74 @ Z1)=>(c @ X74 @ Z0)))))))&~(?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X75:reg]:(((![X76:reg]:(((c @ X76 @ X75)=>(c @ X76 @ X22))))&(![X77:reg]:(((c @ X77 @ X75)=>(c @ X77 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X78:reg]:(((![X79:reg]:(((c @ X79 @ X78)=>(c @ X79 @ X22))))&(![X80:reg]:(((c @ X80 @ X78)=>(c @ X80 @ Z1))))))))))))))))), inference(fof_simplification,[status(thm)],[ntpp])). 0.73/0.62 thf(c_0_18, plain, ((ec)=(^[Z0:reg, Z1:reg]:(((c @ Z0 @ Z1)&~((?[X60:reg]:(((![X61:reg]:(((c @ X61 @ X60)=>(c @ X61 @ Z0))))&(![X62:reg]:(((c @ X62 @ X60)=>(c @ X62 @ Z1)))))))))))), inference(apply_def,[status(thm)],[c_0_14, c_0_15])). 0.73/0.62 thf(c_0_19, plain, ((pp)=(^[Z0:reg, Z1:reg]:(((![X63:reg]:(((c @ X63 @ Z0)=>(c @ X63 @ Z1))))&~((![X64:reg]:(((c @ X64 @ Z1)=>(c @ X64 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_16, c_0_13])). 0.73/0.62 thf(c_0_20, plain, ((mbox)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.73/0.62 thf(c_0_21, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.73/0.62 thf(c_0_22, plain, ((ntpp)=(^[Z0:reg, Z1:reg]:(((((![X73:reg]:(((c @ X73 @ Z0)=>(c @ X73 @ Z1))))&~((![X74:reg]:(((c @ X74 @ Z1)=>(c @ X74 @ Z0)))))))&~(?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X75:reg]:(((![X76:reg]:(((c @ X76 @ X75)=>(c @ X76 @ X22))))&(![X77:reg]:(((c @ X77 @ X75)=>(c @ X77 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X78:reg]:(((![X79:reg]:(((c @ X79 @ X78)=>(c @ X79 @ X22))))&(![X80:reg]:(((c @ X80 @ X78)=>(c @ X80 @ Z1))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_17, c_0_18]), c_0_19])). 0.73/0.62 thf(c_0_23, plain, ((tpp)=(^[Z0:reg, Z1:reg]:(((((![X65:reg]:(((c @ X65 @ Z0)=>(c @ X65 @ Z1))))&~((![X66:reg]:(((c @ X66 @ Z1)=>(c @ X66 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X67:reg]:(((![X68:reg]:(((c @ X68 @ X67)=>(c @ X68 @ X22))))&(![X69:reg]:(((c @ X69 @ X67)=>(c @ X69 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X70:reg]:(((![X71:reg]:(((c @ X71 @ X70)=>(c @ X71 @ X22))))&(![X72:reg]:(((c @ X72 @ X70)=>(c @ X72 @ Z1)))))))))))))))), inference(fof_simplification,[status(thm)],[tpp])). 0.73/0.62 thf(c_0_24, plain, ![X91:$i, X90:$i]:((~(a @ X91 @ X90)|((![X81:reg]:(((c @ X81 @ paris)=>(c @ X81 @ france)))&~(![X82:reg]:(((c @ X82 @ france)=>(c @ X82 @ paris)))))&~(?[X83:reg]:((((c @ X83 @ paris)&~(?[X84:reg]:((![X85:reg]:(((c @ X85 @ X84)=>(c @ X85 @ X83)))&![X86:reg]:(((c @ X86 @ X84)=>(c @ X86 @ paris)))))))&((c @ X83 @ france)&~(?[X87:reg]:((![X88:reg]:(((c @ X88 @ X87)=>(c @ X88 @ X83)))&![X89:reg]:(((c @ X89 @ X87)=>(c @ X89 @ france))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax3]), c_0_20]), c_0_21]), c_0_22])])). 0.73/0.62 thf(c_0_25, negated_conjecture, ~(![X109:$i, X108:$i]:((~(a @ X109 @ X108)|![X22:reg]:(((?[X96:reg]:((![X97:reg]:(((c @ X97 @ X96)=>(c @ X97 @ X22)))&![X98:reg]:(((c @ X98 @ X96)=>(c @ X98 @ catalunya)))))|?[X99:reg]:((![X100:reg]:(((c @ X100 @ X99)=>(c @ X100 @ X22)))&![X101:reg]:(((c @ X101 @ X99)=>(c @ X101 @ paris))))))=>(?[X102:reg]:((![X103:reg]:(((c @ X103 @ X102)=>(c @ X103 @ X22)))&![X104:reg]:(((c @ X104 @ X102)=>(c @ X104 @ spain)))))|?[X105:reg]:((![X106:reg]:(((c @ X106 @ X105)=>(c @ X106 @ X22)))&![X107:reg]:(((c @ X107 @ X105)=>(c @ X107 @ france))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]), c_0_20]), c_0_21]), c_0_15])])). 0.73/0.62 thf(c_0_26, plain, ((tpp)=(^[Z0:reg, Z1:reg]:(((((![X65:reg]:(((c @ X65 @ Z0)=>(c @ X65 @ Z1))))&~((![X66:reg]:(((c @ X66 @ Z1)=>(c @ X66 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X67:reg]:(((![X68:reg]:(((c @ X68 @ X67)=>(c @ X68 @ X22))))&(![X69:reg]:(((c @ X69 @ X67)=>(c @ X69 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X70:reg]:(((![X71:reg]:(((c @ X71 @ X70)=>(c @ X71 @ X22))))&(![X72:reg]:(((c @ X72 @ X70)=>(c @ X72 @ Z1)))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_23, c_0_18]), c_0_19])). 0.73/0.62 thf(c_0_27, plain, ![X137:$i, X138:$i, X139:reg, X141:reg, X143:reg, X144:reg, X146:reg, X147:reg]:((((~(c @ X139 @ paris)|(c @ X139 @ france)|~(a @ X137 @ X138))&(((c @ esk1_0 @ france)|~(a @ X137 @ X138))&(~(c @ esk1_0 @ paris)|~(a @ X137 @ X138))))&(((~(c @ X146 @ (esk3_1 @ X141))|(c @ X146 @ X141)|~(c @ X141 @ france)|(~(c @ X143 @ (esk2_1 @ X141))|(c @ X143 @ X141)|~(c @ X141 @ paris))|~(a @ X137 @ X138))&(~(c @ X147 @ (esk3_1 @ X141))|(c @ X147 @ france)|~(c @ X141 @ france)|(~(c @ X143 @ (esk2_1 @ X141))|(c @ X143 @ X141)|~(c @ X141 @ paris))|~(a @ X137 @ X138)))&((~(c @ X146 @ (esk3_1 @ X141))|(c @ X146 @ X141)|~(c @ X141 @ france)|(~(c @ X144 @ (esk2_1 @ X141))|(c @ X144 @ paris)|~(c @ X141 @ paris))|~(a @ X137 @ X138))&(~(c @ X147 @ (esk3_1 @ X141))|(c @ X147 @ france)|~(c @ X141 @ france)|(~(c @ X144 @ (esk2_1 @ X141))|(c @ X144 @ paris)|~(c @ X141 @ paris))|~(a @ X137 @ X138)))))), inference(distribute,[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_24])])])])])])). 0.73/0.62 thf(c_0_28, plain, (~((epred8_0))<=>![X3:$i, X14:$i]:(~((a @ X3 @ X14)))), introduced(definition)). 0.73/0.62 thf(c_0_29, negated_conjecture, ![X156:reg, X157:reg, X159:reg, X160:reg, X161:reg, X164:reg]:(((a @ esk5_0 @ esk6_0)&((((~(c @ X159 @ esk9_0)|(c @ X159 @ esk7_0)|(~(c @ X156 @ esk8_0)|(c @ X156 @ esk7_0)))&(~(c @ X160 @ esk9_0)|(c @ X160 @ paris)|(~(c @ X156 @ esk8_0)|(c @ X156 @ esk7_0))))&((~(c @ X159 @ esk9_0)|(c @ X159 @ esk7_0)|(~(c @ X157 @ esk8_0)|(c @ X157 @ catalunya)))&(~(c @ X160 @ esk9_0)|(c @ X160 @ paris)|(~(c @ X157 @ esk8_0)|(c @ X157 @ catalunya)))))&(((((c @ (esk11_1 @ X161) @ X161)|(c @ (esk10_1 @ X161) @ X161))&(~(c @ (esk11_1 @ X161) @ spain)|(c @ (esk10_1 @ X161) @ X161)))&(((c @ (esk11_1 @ X161) @ X161)|~(c @ (esk10_1 @ X161) @ esk7_0))&(~(c @ (esk11_1 @ X161) @ spain)|~(c @ (esk10_1 @ X161) @ esk7_0))))&((((c @ (esk13_1 @ X164) @ X164)|(c @ (esk12_1 @ X164) @ X164))&(~(c @ (esk13_1 @ X164) @ france)|(c @ (esk12_1 @ X164) @ X164)))&(((c @ (esk13_1 @ X164) @ X164)|~(c @ (esk12_1 @ X164) @ esk7_0))&(~(c @ (esk13_1 @ X164) @ france)|~(c @ (esk12_1 @ X164) @ esk7_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_25])])])])])). 0.73/0.62 thf(c_0_30, plain, ![X120:$i, X119:$i]:((~(a @ X120 @ X119)|((![X110:reg]:(((c @ X110 @ catalunya)=>(c @ X110 @ spain)))&~(![X111:reg]:(((c @ X111 @ spain)=>(c @ X111 @ catalunya)))))&?[X112:reg]:((((c @ X112 @ catalunya)&~(?[X113:reg]:((![X114:reg]:(((c @ X114 @ X113)=>(c @ X114 @ X112)))&![X115:reg]:(((c @ X115 @ X113)=>(c @ X115 @ catalunya)))))))&((c @ X112 @ spain)&~(?[X116:reg]:((![X117:reg]:(((c @ X117 @ X116)=>(c @ X117 @ X112)))&![X118:reg]:(((c @ X118 @ X116)=>(c @ X118 @ spain)))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax1]), c_0_20]), c_0_21]), c_0_26])])). 0.73/0.62 thf(c_0_31, plain, (~((epred7_0))<=>![X18:reg]:(((c @ X18 @ france)|~((c @ X18 @ paris))))), introduced(definition)). 0.73/0.62 thf(c_0_32, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_27])). 0.73/0.62 thf(c_0_33, plain, ![X3:$i, X14:$i]:(((epred8_0)|~((a @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_28])). 0.73/0.62 thf(c_0_34, negated_conjecture, (a @ esk5_0 @ esk6_0), inference(split_conjunct,[status(thm)],[c_0_29])). 0.73/0.62 thf(c_0_35, plain, ![X167:$i, X168:$i, X169:reg, X172:reg, X175:reg]:((((~(c @ X169 @ catalunya)|(c @ X169 @ spain)|~(a @ X167 @ X168))&(((c @ esk14_0 @ spain)|~(a @ X167 @ X168))&(~(c @ esk14_0 @ catalunya)|~(a @ X167 @ X168))))&((((c @ esk15_0 @ catalunya)|~(a @ X167 @ X168))&((((c @ (esk17_1 @ X172) @ X172)|(c @ (esk16_1 @ X172) @ X172)|~(a @ X167 @ X168))&(~(c @ (esk17_1 @ X172) @ catalunya)|(c @ (esk16_1 @ X172) @ X172)|~(a @ X167 @ X168)))&(((c @ (esk17_1 @ X172) @ X172)|~(c @ (esk16_1 @ X172) @ esk15_0)|~(a @ X167 @ X168))&(~(c @ (esk17_1 @ X172) @ catalunya)|~(c @ (esk16_1 @ X172) @ esk15_0)|~(a @ X167 @ X168)))))&(((c @ esk15_0 @ spain)|~(a @ X167 @ X168))&((((c @ (esk19_1 @ X175) @ X175)|(c @ (esk18_1 @ X175) @ X175)|~(a @ X167 @ X168))&(~(c @ (esk19_1 @ X175) @ spain)|(c @ (esk18_1 @ X175) @ X175)|~(a @ X167 @ X168)))&(((c @ (esk19_1 @ X175) @ X175)|~(c @ (esk18_1 @ X175) @ esk15_0)|~(a @ X167 @ X168))&(~(c @ (esk19_1 @ X175) @ spain)|~(c @ (esk18_1 @ X175) @ esk15_0)|~(a @ X167 @ X168)))))))), inference(distribute,[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_30])])])])])])). 0.73/0.62 thf(c_0_36, plain, (~((epred10_0))<=>![X3:$i, X14:$i]:(~((a @ X3 @ X14)))), introduced(definition)). 0.73/0.62 thf(c_0_37, plain, (~((epred8_0))|~((epred7_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_32, c_0_31]), c_0_28])). 0.73/0.62 thf(c_0_38, negated_conjecture, (epred8_0), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.73/0.62 thf(c_0_39, plain, (~((epred15_0))<=>![X18:reg]:(((c @ X18 @ paris)|~((c @ X18 @ esk9_0))))), introduced(definition)). 0.73/0.62 thf(c_0_40, plain, (~((epred9_0))<=>![X18:reg]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya))))), introduced(definition)). 0.73/0.62 thf(c_0_41, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_35])). 0.73/0.62 thf(c_0_42, plain, ![X3:$i, X14:$i]:(((epred10_0)|~((a @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_36])). 0.73/0.62 thf(c_0_43, plain, ![X18:reg]:(((c @ X18 @ france)|(epred7_0)|~((c @ X18 @ paris)))), inference(split_equiv,[status(thm)],[c_0_31])). 0.73/0.62 thf(c_0_44, plain, ~((epred7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])). 0.73/0.62 thf(c_0_45, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|(epred15_0)|~((c @ X18 @ esk9_0)))), inference(split_equiv,[status(thm)],[c_0_39])). 0.73/0.62 thf(c_0_46, negated_conjecture, ![X18:reg]:(((c @ (esk13_1 @ X18) @ X18)|(c @ (esk12_1 @ X18) @ X18))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.73/0.62 thf(c_0_47, plain, (~((epred10_0))|~((epred9_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_41, c_0_40]), c_0_36])). 0.73/0.62 thf(c_0_48, negated_conjecture, (epred10_0), inference(spm,[status(thm)],[c_0_42, c_0_34])). 0.73/0.62 thf(c_0_49, plain, (~((epred16_0))<=>![X19:reg]:(((c @ X19 @ catalunya)|~((c @ X19 @ esk8_0))))), introduced(definition)). 0.73/0.62 thf(c_0_50, plain, (~((epred23_0))<=>![X18:reg]:(((c @ X18 @ esk7_0)|~((c @ X18 @ esk9_0))))), introduced(definition)). 0.73/0.62 thf(c_0_51, plain, ![X18:reg]:(((c @ X18 @ france)|~((c @ X18 @ paris)))), inference(sr,[status(thm)],[c_0_43, c_0_44])). 0.73/0.62 thf(c_0_52, negated_conjecture, ((c @ (esk12_1 @ esk9_0) @ esk9_0)|(c @ (esk13_1 @ esk9_0) @ paris)|(epred15_0)), inference(spm,[status(thm)],[c_0_45, c_0_46])). 0.73/0.62 thf(c_0_53, negated_conjecture, ![X18:reg]:(((c @ (esk12_1 @ X18) @ X18)|~((c @ (esk13_1 @ X18) @ france)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.73/0.62 thf(c_0_54, plain, ![X18:reg]:(((c @ X18 @ spain)|(epred9_0)|~((c @ X18 @ catalunya)))), inference(split_equiv,[status(thm)],[c_0_40])). 0.73/0.62 thf(c_0_55, plain, ~((epred9_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_48])])). 0.73/0.62 thf(c_0_56, negated_conjecture, ![X18:reg]:(((c @ X18 @ catalunya)|(epred16_0)|~((c @ X18 @ esk8_0)))), inference(split_equiv,[status(thm)],[c_0_49])). 0.73/0.62 thf(c_0_57, negated_conjecture, ![X18:reg]:(((c @ (esk11_1 @ X18) @ X18)|(c @ (esk10_1 @ X18) @ X18))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.73/0.62 thf(c_0_58, negated_conjecture, ![X18:reg]:(((c @ X18 @ esk7_0)|(epred23_0)|~((c @ X18 @ esk9_0)))), inference(split_equiv,[status(thm)],[c_0_50])). 0.73/0.62 thf(c_0_59, negated_conjecture, ((c @ (esk12_1 @ esk9_0) @ esk9_0)|(epred15_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_53])). 0.73/0.62 thf(c_0_60, plain, ![X134:reg, X135:reg]:((~(c @ X134 @ X135)|(c @ X135 @ X134))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_symmetric])])). 0.73/0.62 thf(c_0_61, plain, (~((epred28_0))<=>![X19:reg]:(((c @ X19 @ esk7_0)|~((c @ X19 @ esk8_0))))), introduced(definition)). 0.73/0.62 thf(c_0_62, plain, ![X18:reg]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya)))), inference(sr,[status(thm)],[c_0_54, c_0_55])). 0.73/0.62 thf(c_0_63, negated_conjecture, ((c @ (esk10_1 @ esk8_0) @ esk8_0)|(c @ (esk11_1 @ esk8_0) @ catalunya)|(epred16_0)), inference(spm,[status(thm)],[c_0_56, c_0_57])). 0.73/0.62 thf(c_0_64, negated_conjecture, ![X18:reg]:(((c @ (esk10_1 @ X18) @ X18)|~((c @ (esk11_1 @ X18) @ spain)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.73/0.62 thf(c_0_65, negated_conjecture, ![X18:reg]:(((c @ (esk13_1 @ X18) @ X18)|~((c @ (esk12_1 @ X18) @ esk7_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.73/0.62 thf(c_0_66, negated_conjecture, ![X18:reg]:((~((c @ (esk13_1 @ X18) @ france))|~((c @ (esk12_1 @ X18) @ esk7_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.73/0.62 thf(c_0_67, negated_conjecture, ((c @ (esk12_1 @ esk9_0) @ esk7_0)|(epred15_0)|(epred23_0)), inference(spm,[status(thm)],[c_0_58, c_0_59])). 0.73/0.62 thf(c_0_68, plain, ![X18:reg, X19:reg]:(((c @ X19 @ X18)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_60])). 0.73/0.62 thf(c_0_69, negated_conjecture, ![X18:reg]:(((c @ X18 @ esk7_0)|(epred28_0)|~((c @ X18 @ esk8_0)))), inference(split_equiv,[status(thm)],[c_0_61])). 0.73/0.62 thf(c_0_70, negated_conjecture, ((c @ (esk10_1 @ esk8_0) @ esk8_0)|(epred16_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_63]), c_0_64])). 0.73/0.62 thf(c_0_71, negated_conjecture, ((c @ (esk13_1 @ esk9_0) @ paris)|(epred15_0)|~((c @ (esk12_1 @ esk9_0) @ esk7_0))), inference(spm,[status(thm)],[c_0_45, c_0_65])). 0.73/0.62 thf(c_0_72, negated_conjecture, ((epred23_0)|(epred15_0)|~((c @ (esk13_1 @ esk9_0) @ france))), inference(spm,[status(thm)],[c_0_66, c_0_67])). 0.73/0.62 thf(c_0_73, plain, ![X18:reg]:(((c @ X18 @ france)|~((c @ paris @ X18)))), inference(spm,[status(thm)],[c_0_51, c_0_68])). 0.73/0.62 thf(c_0_74, negated_conjecture, ![X18:reg]:(((c @ (esk11_1 @ X18) @ X18)|~((c @ (esk10_1 @ X18) @ esk7_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.73/0.62 thf(c_0_75, negated_conjecture, ![X18:reg]:((~((c @ (esk11_1 @ X18) @ spain))|~((c @ (esk10_1 @ X18) @ esk7_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.73/0.62 thf(c_0_76, negated_conjecture, ((c @ (esk10_1 @ esk8_0) @ esk7_0)|(epred16_0)|(epred28_0)), inference(spm,[status(thm)],[c_0_69, c_0_70])). 0.73/0.62 thf(c_0_77, plain, (~((epred24_0))<=>![X19:reg]:(((c @ X19 @ catalunya)|~((c @ X19 @ esk8_0))))), introduced(definition)). 0.73/0.62 thf(c_0_78, negated_conjecture, ![X18:reg, X19:reg]:(((c @ X18 @ paris)|(c @ X19 @ catalunya)|~((c @ X18 @ esk9_0))|~((c @ X19 @ esk8_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.73/0.62 thf(c_0_79, negated_conjecture, ((c @ (esk13_1 @ esk9_0) @ paris)|(epred23_0)|(epred15_0)), inference(spm,[status(thm)],[c_0_71, c_0_67])). 0.73/0.62 thf(c_0_80, negated_conjecture, ((epred15_0)|(epred23_0)|~((c @ paris @ (esk13_1 @ esk9_0)))), inference(spm,[status(thm)],[c_0_72, c_0_73])). 0.73/0.62 thf(c_0_81, negated_conjecture, ((c @ (esk11_1 @ esk8_0) @ catalunya)|(epred16_0)|~((c @ (esk10_1 @ esk8_0) @ esk7_0))), inference(spm,[status(thm)],[c_0_56, c_0_74])). 0.73/0.62 thf(c_0_82, negated_conjecture, ((epred28_0)|(epred16_0)|~((c @ (esk11_1 @ esk8_0) @ spain))), inference(spm,[status(thm)],[c_0_75, c_0_76])). 0.73/0.62 thf(c_0_83, plain, ![X18:reg]:(((c @ X18 @ spain)|~((c @ catalunya @ X18)))), inference(spm,[status(thm)],[c_0_62, c_0_68])). 0.73/0.62 thf(c_0_84, plain, (~((epred27_0))<=>![X18:reg]:(((c @ X18 @ esk7_0)|~((c @ X18 @ esk9_0))))), introduced(definition)). 0.73/0.62 thf(c_0_85, negated_conjecture, ![X18:reg]:(((c @ X18 @ catalunya)|(epred24_0)|~((c @ X18 @ esk8_0)))), inference(split_equiv,[status(thm)],[c_0_77])). 0.73/0.62 thf(c_0_86, negated_conjecture, (~((epred16_0))|~((epred15_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_78, c_0_39]), c_0_49])). 0.73/0.62 thf(c_0_87, negated_conjecture, ((epred15_0)|(epred23_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_79]), c_0_80])). 0.73/0.62 thf(c_0_88, negated_conjecture, ((c @ (esk11_1 @ esk8_0) @ catalunya)|(epred28_0)|(epred16_0)), inference(spm,[status(thm)],[c_0_81, c_0_76])). 0.73/0.62 thf(c_0_89, negated_conjecture, ((epred16_0)|(epred28_0)|~((c @ catalunya @ (esk11_1 @ esk8_0)))), inference(spm,[status(thm)],[c_0_82, c_0_83])). 0.73/0.62 thf(c_0_90, negated_conjecture, ![X18:reg]:(((c @ X18 @ esk7_0)|(epred27_0)|~((c @ X18 @ esk9_0)))), inference(split_equiv,[status(thm)],[c_0_84])). 0.73/0.62 thf(c_0_91, plain, (~((epred26_0))<=>![X19:reg]:(((c @ X19 @ esk7_0)|~((c @ X19 @ esk8_0))))), introduced(definition)). 0.73/0.62 thf(c_0_92, negated_conjecture, ((c @ (esk10_1 @ esk8_0) @ esk8_0)|(c @ (esk11_1 @ esk8_0) @ catalunya)|(epred24_0)), inference(spm,[status(thm)],[c_0_85, c_0_57])). 0.73/0.62 thf(c_0_93, negated_conjecture, ![X18:reg]:(((c @ (esk10_1 @ X18) @ X18)|~((c @ catalunya @ (esk11_1 @ X18))))), inference(spm,[status(thm)],[c_0_64, c_0_83])). 0.73/0.62 thf(c_0_94, negated_conjecture, ![X18:reg, X19:reg]:(((c @ X18 @ esk7_0)|(c @ X19 @ catalunya)|~((c @ X18 @ esk9_0))|~((c @ X19 @ esk8_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.73/0.62 thf(c_0_95, negated_conjecture, ((epred23_0)|~((epred16_0))), inference(spm,[status(thm)],[c_0_86, c_0_87])). 0.73/0.62 thf(c_0_96, negated_conjecture, ((epred16_0)|(epred28_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_88]), c_0_89])). 0.73/0.62 thf(c_0_97, negated_conjecture, ((c @ (esk12_1 @ esk9_0) @ esk7_0)|(epred15_0)|(epred27_0)), inference(spm,[status(thm)],[c_0_90, c_0_59])). 0.73/0.62 thf(c_0_98, negated_conjecture, ![X18:reg]:(((c @ X18 @ esk7_0)|(epred26_0)|~((c @ X18 @ esk8_0)))), inference(split_equiv,[status(thm)],[c_0_91])). 0.73/0.62 thf(c_0_99, negated_conjecture, ((c @ (esk10_1 @ esk8_0) @ esk8_0)|(epred24_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_92]), c_0_93])). 0.73/0.62 thf(c_0_100, negated_conjecture, (~((epred24_0))|~((epred23_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_94, c_0_50]), c_0_77])). 0.73/0.62 thf(c_0_101, negated_conjecture, ((epred28_0)|(epred23_0)), inference(spm,[status(thm)],[c_0_95, c_0_96])). 0.73/0.62 thf(c_0_102, negated_conjecture, ((epred27_0)|(epred15_0)|~((c @ (esk13_1 @ esk9_0) @ france))), inference(spm,[status(thm)],[c_0_66, c_0_97])). 0.73/0.62 thf(c_0_103, negated_conjecture, ((c @ (esk10_1 @ esk8_0) @ esk7_0)|(epred16_0)|(epred26_0)), inference(spm,[status(thm)],[c_0_98, c_0_70])). 0.73/0.62 thf(c_0_104, negated_conjecture, ![X18:reg]:(((c @ (esk10_1 @ X18) @ X18)|(c @ X18 @ (esk11_1 @ X18)))), inference(spm,[status(thm)],[c_0_68, c_0_57])). 0.73/0.62 thf(c_0_105, negated_conjecture, ![X18:reg]:(((c @ X18 @ (esk11_1 @ X18))|~((c @ (esk10_1 @ X18) @ esk7_0)))), inference(spm,[status(thm)],[c_0_68, c_0_74])). 0.73/0.62 thf(c_0_106, negated_conjecture, ![X18:reg]:((~((c @ (esk11_1 @ X18) @ spain))|~((c @ esk7_0 @ (esk10_1 @ X18))))), inference(spm,[status(thm)],[c_0_75, c_0_68])). 0.73/0.62 thf(c_0_107, negated_conjecture, ((c @ (esk10_1 @ esk8_0) @ esk7_0)|(epred24_0)|(epred28_0)), inference(spm,[status(thm)],[c_0_69, c_0_99])). 0.73/0.62 thf(c_0_108, negated_conjecture, ((epred28_0)|~((epred24_0))), inference(spm,[status(thm)],[c_0_100, c_0_101])). 0.73/0.62 thf(c_0_109, negated_conjecture, ((c @ (esk13_1 @ esk9_0) @ paris)|(epred27_0)|(epred15_0)), inference(spm,[status(thm)],[c_0_71, c_0_97])). 0.73/0.62 thf(c_0_110, negated_conjecture, ((epred15_0)|(epred27_0)|~((c @ paris @ (esk13_1 @ esk9_0)))), inference(spm,[status(thm)],[c_0_102, c_0_73])). 0.73/0.62 thf(c_0_111, negated_conjecture, ((epred26_0)|(epred16_0)|~((c @ (esk11_1 @ esk8_0) @ spain))), inference(spm,[status(thm)],[c_0_75, c_0_103])). 0.73/0.62 thf(c_0_112, negated_conjecture, ![X18:reg]:(((c @ X18 @ catalunya)|(epred24_0)|~((c @ esk8_0 @ X18)))), inference(spm,[status(thm)],[c_0_85, c_0_68])). 0.73/0.62 thf(c_0_113, negated_conjecture, ((c @ esk8_0 @ (esk11_1 @ esk8_0))|(epred28_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_104]), c_0_105])). 0.73/0.62 thf(c_0_114, negated_conjecture, ![X18:reg]:((~((c @ esk7_0 @ (esk10_1 @ X18)))|~((c @ catalunya @ (esk11_1 @ X18))))), inference(spm,[status(thm)],[c_0_106, c_0_83])). 0.73/0.62 thf(c_0_115, negated_conjecture, ((c @ esk7_0 @ (esk10_1 @ esk8_0))|(epred28_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_107]), c_0_108])). 0.73/0.62 thf(c_0_116, plain, (~((epred25_0))<=>![X18:reg]:(((c @ X18 @ paris)|~((c @ X18 @ esk9_0))))), introduced(definition)). 0.73/0.62 thf(c_0_117, negated_conjecture, ((epred15_0)|(epred27_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_109]), c_0_110])). 0.73/0.62 thf(c_0_118, negated_conjecture, ((c @ (esk11_1 @ esk8_0) @ catalunya)|(epred26_0)|(epred16_0)), inference(spm,[status(thm)],[c_0_81, c_0_103])). 0.73/0.62 thf(c_0_119, negated_conjecture, ((epred16_0)|(epred26_0)|~((c @ catalunya @ (esk11_1 @ esk8_0)))), inference(spm,[status(thm)],[c_0_111, c_0_83])). 0.73/0.62 thf(c_0_120, negated_conjecture, ![X18:reg, X19:reg]:(((c @ X18 @ esk7_0)|(c @ X19 @ esk7_0)|~((c @ X18 @ esk9_0))|~((c @ X19 @ esk8_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.73/0.62 thf(c_0_121, negated_conjecture, ((c @ (esk11_1 @ esk8_0) @ catalunya)|(epred28_0)|(epred24_0)), inference(spm,[status(thm)],[c_0_112, c_0_113])). 0.73/0.62 thf(c_0_122, negated_conjecture, ((epred28_0)|~((c @ catalunya @ (esk11_1 @ esk8_0)))), inference(spm,[status(thm)],[c_0_114, c_0_115])). 0.73/0.62 thf(c_0_123, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|(epred25_0)|~((c @ X18 @ esk9_0)))), inference(split_equiv,[status(thm)],[c_0_116])). 0.73/0.62 thf(c_0_124, negated_conjecture, ((epred27_0)|~((epred16_0))), inference(spm,[status(thm)],[c_0_86, c_0_117])). 0.73/0.62 thf(c_0_125, negated_conjecture, ((epred16_0)|(epred26_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_118]), c_0_119])). 0.73/0.62 thf(c_0_126, negated_conjecture, (~((epred28_0))|~((epred27_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_120, c_0_84]), c_0_61])). 0.73/0.62 thf(c_0_127, negated_conjecture, (epred28_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_121]), c_0_108]), c_0_122])). 0.73/0.62 thf(c_0_128, negated_conjecture, ((c @ (esk12_1 @ esk9_0) @ esk9_0)|(c @ (esk13_1 @ esk9_0) @ paris)|(epred25_0)), inference(spm,[status(thm)],[c_0_123, c_0_46])). 0.73/0.62 thf(c_0_129, negated_conjecture, ![X18:reg]:(((c @ (esk12_1 @ X18) @ X18)|~((c @ paris @ (esk13_1 @ X18))))), inference(spm,[status(thm)],[c_0_53, c_0_73])). 0.73/0.62 thf(c_0_130, negated_conjecture, ![X18:reg, X19:reg]:(((c @ X18 @ paris)|(c @ X19 @ esk7_0)|~((c @ X18 @ esk9_0))|~((c @ X19 @ esk8_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.73/0.62 thf(c_0_131, negated_conjecture, ((epred26_0)|(epred27_0)), inference(spm,[status(thm)],[c_0_124, c_0_125])). 0.73/0.62 thf(c_0_132, negated_conjecture, ~((epred27_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126, c_0_127])])). 0.73/0.62 thf(c_0_133, negated_conjecture, ((c @ (esk12_1 @ esk9_0) @ esk9_0)|(epred25_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_128]), c_0_129])). 0.73/0.62 thf(c_0_134, negated_conjecture, (~((epred26_0))|~((epred25_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_130, c_0_116]), c_0_91])). 0.73/0.62 thf(c_0_135, negated_conjecture, (epred26_0), inference(sr,[status(thm)],[c_0_131, c_0_132])). 0.73/0.62 thf(c_0_136, negated_conjecture, ![X18:reg]:(((c @ (esk12_1 @ X18) @ X18)|(c @ X18 @ (esk13_1 @ X18)))), inference(spm,[status(thm)],[c_0_68, c_0_46])). 0.73/0.62 thf(c_0_137, negated_conjecture, ![X18:reg]:(((c @ X18 @ (esk13_1 @ X18))|~((c @ (esk12_1 @ X18) @ esk7_0)))), inference(spm,[status(thm)],[c_0_68, c_0_65])). 0.73/0.62 thf(c_0_138, negated_conjecture, ((c @ (esk12_1 @ esk9_0) @ esk7_0)|(epred25_0)|(epred27_0)), inference(spm,[status(thm)],[c_0_90, c_0_133])). 0.73/0.62 thf(c_0_139, negated_conjecture, ~((epred25_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134, c_0_135])])). 0.73/0.62 thf(c_0_140, negated_conjecture, ((c @ esk9_0 @ (esk13_1 @ esk9_0))|(epred27_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_136]), c_0_137])). 0.73/0.62 thf(c_0_141, negated_conjecture, (c @ (esk12_1 @ esk9_0) @ esk7_0), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_138, c_0_132]), c_0_139])). 0.73/0.62 thf(c_0_142, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|(epred25_0)|~((c @ esk9_0 @ X18)))), inference(spm,[status(thm)],[c_0_123, c_0_68])). 0.73/0.62 thf(c_0_143, negated_conjecture, (c @ esk9_0 @ (esk13_1 @ esk9_0)), inference(sr,[status(thm)],[c_0_140, c_0_132])). 0.73/0.62 thf(c_0_144, negated_conjecture, ~((c @ (esk13_1 @ esk9_0) @ france)), inference(spm,[status(thm)],[c_0_66, c_0_141])). 0.73/0.62 thf(c_0_145, negated_conjecture, (c @ (esk13_1 @ esk9_0) @ paris), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_142, c_0_143]), c_0_139])). 0.73/0.62 thf(c_0_146, negated_conjecture, ~((c @ paris @ (esk13_1 @ esk9_0))), inference(spm,[status(thm)],[c_0_144, c_0_73])). 0.73/0.62 thf(c_0_147, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_145]), c_0_146]), ['proof']). 0.73/0.62 # SZS output end CNFRefutation 0.73/0.62 # Parsed axioms : 98 0.73/0.62 # Removed by relevancy pruning/SinE : 0 0.73/0.62 # Initial clauses : 95 0.73/0.62 # Removed in clause preprocessing : 49 0.73/0.62 # Initial clauses in saturation : 46 0.73/0.62 # Processed clauses : 1369 0.73/0.62 # ...of these trivial : 48 0.73/0.62 # ...subsumed : 346 0.73/0.62 # ...remaining for further processing : 975 0.73/0.62 # Other redundant clauses eliminated : 0 0.73/0.62 # Clauses deleted for lack of memory : 0 0.73/0.62 # Backward-subsumed : 127 0.73/0.62 # Backward-rewritten : 203 0.73/0.62 # Generated clauses : 2004 0.73/0.62 # ...of the previous two non-redundant : 1882 0.73/0.62 # ...aggressively subsumed : 0 0.73/0.62 # Contextual simplify-reflections : 43 0.73/0.62 # Paramodulations : 1831 0.73/0.62 # Factorizations : 0 0.73/0.62 # NegExts : 0 0.73/0.62 # Equation resolutions : 0 0.73/0.62 # Propositional unsat checks : 0 0.73/0.62 # Propositional check models : 0 0.73/0.62 # Propositional check unsatisfiable : 0 0.73/0.62 # Propositional clauses : 0 0.73/0.62 # Propositional clauses after purity: 0 0.73/0.62 # Propositional unsat core size : 0 0.73/0.62 # Propositional preprocessing time : 0.000 0.73/0.62 # Propositional encoding time : 0.000 0.73/0.62 # Propositional solver time : 0.000 0.73/0.62 # Success case prop preproc time : 0.000 0.73/0.62 # Success case prop encoding time : 0.000 0.73/0.62 # Success case prop solver time : 0.000 0.73/0.62 # Current number of processed clauses : 426 0.73/0.62 # Positive orientable unit clauses : 108 0.73/0.62 # Positive unorientable unit clauses: 0 0.73/0.62 # Negative unit clauses : 55 0.73/0.62 # Non-unit-clauses : 263 0.73/0.62 # Current number of unprocessed clauses: 576 0.73/0.62 # ...number of literals in the above : 1927 0.73/0.62 # Current number of archived formulas : 0 0.73/0.62 # Current number of archived clauses : 527 0.73/0.62 # Clause-clause subsumption calls (NU) : 74893 0.73/0.62 # Rec. Clause-clause subsumption calls : 46558 0.73/0.62 # Non-unit clause-clause subsumptions : 453 0.73/0.62 # Unit Clause-clause subsumption calls : 7505 0.73/0.62 # Rewrite failures with RHS unbound : 0 0.73/0.62 # BW rewrite match attempts : 69 0.73/0.62 # BW rewrite match successes : 55 0.73/0.62 # Condensation attempts : 1386 0.73/0.62 # Condensation successes : 0 0.73/0.62 # Termbank termtop insertions : 26626 0.73/0.62 0.73/0.62 # ------------------------------------------------- 0.73/0.62 # User time : 0.126 s 0.73/0.62 # System time : 0.008 s 0.73/0.62 # Total time : 0.134 s 0.73/0.62 # Maximum resident set size: 2344 pages 0.73/0.62 0.73/0.62 # ------------------------------------------------- 0.73/0.62 # User time : 0.129 s 0.73/0.62 # System time : 0.011 s 0.73/0.62 # Total time : 0.140 s 0.73/0.62 # Maximum resident set size: 1832 pages 0.73/0.62 EOF