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 0.14/0.34 % Computer : n017.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Tue Aug 9 05:37:45 EDT 2022 0.14/0.35 % CPUTime : 0.20/0.48 Running higher-order on 8 cores theorem proving 0.20/0.48 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 0.20/0.48 # Version: 3.0pre003-ho 0.20/0.52 # Preprocessing class: HSMSSMSSMLLNHSN. 0.20/0.52 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.20/0.52 # Starting new_ho_10_cnf2 with 600s (5) cores 0.20/0.52 # Starting post_as_ho3 with 120s (1) cores 0.20/0.52 # Starting new_ho_12 with 120s (1) cores 0.20/0.52 # Starting new_bool_2 with 120s (1) cores 0.20/0.52 # new_ho_12 with pid 6808 completed with status 0 0.20/0.52 # Result found by new_ho_12 0.20/0.52 # Preprocessing class: HSMSSMSSMLLNHSN. 0.20/0.52 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.20/0.52 # Starting new_ho_10_cnf2 with 600s (5) cores 0.20/0.52 # Starting post_as_ho3 with 120s (1) cores 0.20/0.52 # Starting new_ho_12 with 120s (1) cores 0.20/0.52 # No SInE strategy applied 0.20/0.52 # Search class: HGHNF-FFMF21-SHSSMSBN 0.20/0.52 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.20/0.52 # Starting new_ho_9 with 65s (1) cores 0.20/0.52 # new_ho_9 with pid 6820 completed with status 0 0.20/0.52 # Result found by new_ho_9 0.20/0.52 # Preprocessing class: HSMSSMSSMLLNHSN. 0.20/0.52 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.20/0.52 # Starting new_ho_10_cnf2 with 600s (5) cores 0.20/0.52 # Starting post_as_ho3 with 120s (1) cores 0.20/0.52 # Starting new_ho_12 with 120s (1) cores 0.20/0.52 # No SInE strategy applied 0.20/0.52 # Search class: HGHNF-FFMF21-SHSSMSBN 0.20/0.52 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.20/0.52 # Starting new_ho_9 with 65s (1) cores 0.20/0.52 # Preprocessing time : 0.003 s 0.20/0.52 # Presaturation interreduction done 0.20/0.52 0.20/0.52 # Proof found! 0.20/0.52 # SZS status Theorem 0.20/0.52 # SZS output start CNFRefutation 0.20/0.52 thf(decl_22, type, meq_ind: mu > mu > $i > $o). 0.20/0.52 thf(decl_23, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 0.20/0.52 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_26, type, mand: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_28, type, mimplied: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_29, type, mequiv: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_30, type, mxor: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_31, type, mforall_ind: (mu > $i > $o) > $i > $o). 0.20/0.52 thf(decl_32, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.20/0.52 thf(decl_33, type, mexists_ind: (mu > $i > $o) > $i > $o). 0.20/0.52 thf(decl_34, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o). 0.20/0.52 thf(decl_35, type, mtrue: $i > $o). 0.20/0.52 thf(decl_36, type, mfalse: $i > $o). 0.20/0.52 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_38, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_39, type, mreflexive: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_40, type, msymmetric: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_41, type, mserial: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_42, type, mtransitive: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_43, type, meuclidean: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_44, type, mpartially_functional: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_45, type, mfunctional: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_46, type, mweakly_dense: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_47, type, mweakly_connected: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_48, type, mweakly_directed: ($i > $i > $o) > $o). 0.20/0.52 thf(decl_49, type, mvalid: ($i > $o) > $o). 0.20/0.52 thf(decl_50, type, minvalid: ($i > $o) > $o). 0.20/0.52 thf(decl_51, type, msatisfiable: ($i > $o) > $o). 0.20/0.52 thf(decl_52, type, mcountersatisfiable: ($i > $o) > $o). 0.20/0.52 thf(decl_53, type, c: reg > reg > $o). 0.20/0.52 thf(decl_54, type, dc: reg > reg > $o). 0.20/0.52 thf(decl_55, type, p: reg > reg > $o). 0.20/0.52 thf(decl_56, type, eq: reg > reg > $o). 0.20/0.52 thf(decl_57, type, o: reg > reg > $o). 0.20/0.52 thf(decl_58, type, po: reg > reg > $o). 0.20/0.52 thf(decl_59, type, ec: reg > reg > $o). 0.20/0.52 thf(decl_60, type, pp: reg > reg > $o). 0.20/0.52 thf(decl_61, type, tpp: reg > reg > $o). 0.20/0.52 thf(decl_62, type, ntpp: reg > reg > $o). 0.20/0.52 thf(decl_63, type, catalunya: reg). 0.20/0.52 thf(decl_64, type, france: reg). 0.20/0.52 thf(decl_65, type, spain: reg). 0.20/0.52 thf(decl_66, type, paris: reg). 0.20/0.52 thf(decl_67, type, a: $i > $i > $o). 0.20/0.52 thf(decl_68, type, fool: $i > $i > $o). 0.20/0.52 thf(decl_69, type, esk1_0: reg). 0.20/0.52 thf(decl_70, type, esk2_1: reg > reg). 0.20/0.52 thf(decl_71, type, esk3_1: reg > reg). 0.20/0.52 thf(decl_72, type, esk4_2: $i > ($i > $o) > $i). 0.20/0.52 thf(decl_73, type, esk5_2: $i > ($i > $o) > $i). 0.20/0.52 thf(decl_74, type, esk6_2: $i > ($i > $o) > $i). 0.20/0.52 thf(decl_75, type, esk7_0: $i). 0.20/0.52 thf(decl_76, type, esk8_0: $i). 0.20/0.52 thf(decl_77, type, esk9_0: reg). 0.20/0.52 thf(decl_78, type, esk10_1: reg > reg). 0.20/0.52 thf(decl_79, type, esk11_1: reg > reg). 0.20/0.52 thf(decl_80, type, esk12_0: reg). 0.20/0.52 thf(decl_81, type, esk13_0: reg). 0.20/0.52 thf(decl_82, type, esk14_1: reg > reg). 0.20/0.52 thf(decl_83, type, esk15_1: reg > reg). 0.20/0.52 thf(decl_84, type, esk16_1: reg > reg). 0.20/0.52 thf(decl_85, type, esk17_1: reg > reg). 0.20/0.52 thf(decl_86, type, epred1_0: $o). 0.20/0.52 thf(decl_87, type, epred2_0: $o). 0.20/0.52 thf(decl_88, type, epred3_0: $o). 0.20/0.52 thf(decl_89, type, epred4_0: $o). 0.20/0.52 thf(decl_90, type, epred5_0: $o). 0.20/0.52 thf(decl_91, type, epred6_0: $o). 0.20/0.52 thf(decl_92, type, epred7_0: $o). 0.20/0.52 thf(decl_93, type, epred8_0: $o). 0.20/0.52 thf(decl_94, type, epred9_0: $o). 0.20/0.52 thf(decl_95, type, epred10_0: $o). 0.20/0.52 thf(decl_96, type, epred11_0: $o). 0.20/0.52 thf(decl_97, type, epred12_0: $o). 0.20/0.52 thf(decl_98, type, epred13_0: $o). 0.20/0.52 thf(decl_99, type, epred14_0: $o). 0.20/0.52 thf(decl_100, type, epred15_0: $o). 0.20/0.52 thf(decl_101, type, epred16_0: $o). 0.20/0.52 thf(decl_102, type, epred17_0: $o). 0.20/0.52 thf(decl_103, type, epred18_0: $o). 0.20/0.52 thf(decl_104, type, epred19_0: $o). 0.20/0.52 thf(decl_105, type, epred20_0: $o). 0.20/0.52 thf(decl_106, type, epred21_0: $o). 0.20/0.52 thf(decl_107, type, epred22_0: $o). 0.20/0.52 thf(decl_108, type, epred23_0: $o). 0.20/0.52 thf(decl_109, type, epred24_0: $o). 0.20/0.52 thf(decl_110, type, epred25_0: $o). 0.20/0.52 thf(decl_111, type, epred26_0: $o). 0.20/0.52 thf(decl_112, type, epred27_0: $o). 0.20/0.52 thf(decl_113, type, epred28_0: $o). 0.20/0.52 thf(decl_114, type, epred29_0: $o). 0.20/0.52 thf(decl_115, type, epred30_0: $o). 0.20/0.52 thf(decl_116, type, epred31_0: $o). 0.20/0.52 thf(decl_117, type, epred32_0: $o). 0.20/0.52 thf(decl_118, type, epred33_0: $o). 0.20/0.52 thf(decl_119, type, epred34_0: $o). 0.20/0.52 thf(decl_120, type, epred35_0: $o). 0.20/0.52 thf(decl_121, type, epred36_0: $o). 0.20/0.52 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:(((p @ X22 @ X25)&(p @ X22 @ X26)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax', o)). 0.20/0.52 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:(((c @ X22 @ X20)=>(c @ X22 @ X21)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax', p)). 0.20/0.52 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:(((c @ X29 @ X30)&~((o @ X29 @ X30)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax', ec)). 0.20/0.52 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:(((p @ X31 @ X32)&~((p @ X32 @ X31)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax', pp)). 0.20/0.52 thf(ntpp, axiom, ((ntpp)=(^[X35:reg, X36:reg]:(((pp @ X35 @ X36)&~(?[X22:reg]:(((ec @ X22 @ X35)&(ec @ X22 @ X36)))))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax', ntpp)). 0.20/0.52 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mimplies)). 0.20/0.52 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mnot)). 0.20/0.52 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mor)). 0.20/0.52 thf(tpp, axiom, ((tpp)=(^[X33:reg, X34:reg]:(((pp @ X33 @ X34)&?[X22:reg]:(((ec @ X22 @ X33)&(ec @ X22 @ X34))))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax', tpp)). 0.20/0.52 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mbox)). 0.20/0.52 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mvalid)). 0.20/0.52 thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax', mforall_prop)). 0.20/0.52 thf(ax3, axiom, (mvalid @ (mbox @ a @ (^[X40:$i]:((ntpp @ paris @ france))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax3)). 0.20/0.52 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X42:$i]:(![X22:reg]:(((p @ X22 @ catalunya)=>~((p @ X22 @ paris)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', con)). 0.20/0.52 thf(t_axiom_for_fool, axiom, (mvalid @ (mforall_prop @ (^[X41:$i > $o]:(mimplies @ (mbox @ fool @ X41) @ X41)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t_axiom_for_fool)). 0.20/0.52 thf(ax1, axiom, (mvalid @ (mbox @ a @ (^[X44:$i]:((tpp @ catalunya @ spain))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax1)). 0.20/0.52 thf(ax2, axiom, (mvalid @ (mbox @ fool @ (^[X43:$i]:((ec @ spain @ france))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ax2)). 0.20/0.52 thf(c_symmetric, axiom, ![X37:reg, X38:reg]:(((c @ X37 @ X38)=>(c @ X38 @ X37))), file('/export/starexec/sandbox/benchmark/Axioms/LCL014^0.ax', c_symmetric)). 0.20/0.52 thf(c_0_18, 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])). 0.20/0.52 thf(c_0_19, plain, ((p)=(^[Z0:reg, Z1:reg]:(![X22:reg]:(((c @ X22 @ Z0)=>(c @ X22 @ Z1)))))), inference(fof_simplification,[status(thm)],[p])). 0.20/0.52 thf(c_0_20, 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])). 0.20/0.52 thf(c_0_21, 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_18, c_0_19])). 0.20/0.52 thf(c_0_22, 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])). 0.20/0.52 thf(c_0_23, 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])). 0.20/0.52 thf(c_0_24, 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_20, c_0_21])). 0.20/0.52 thf(c_0_25, 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_22, c_0_19])). 0.20/0.52 thf(c_0_26, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.20/0.52 thf(c_0_27, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.20/0.52 thf(c_0_28, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.20/0.52 thf(c_0_29, 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])). 0.20/0.52 thf(c_0_30, plain, ((mbox)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.20/0.52 thf(c_0_31, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.20/0.52 thf(c_0_32, 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_23, c_0_24]), c_0_25])). 0.20/0.52 thf(c_0_33, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_26, c_0_27]), c_0_28])). 0.20/0.52 thf(c_0_34, plain, ((mforall_prop)=(^[Z0:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])). 0.20/0.52 thf(c_0_35, plain, ((tpp)=(^[Z0:reg, Z1:reg]:(((((![X65:reg]:(((c @ X65 @ Z0)=>(c @ X65 @ Z1))))&~((![X66:reg]:(((c @ X66 @ Z1)=>(c @ X66 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X67:reg]:(((![X68:reg]:(((c @ X68 @ X67)=>(c @ X68 @ X22))))&(![X69:reg]:(((c @ X69 @ X67)=>(c @ X69 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X70:reg]:(((![X71:reg]:(((c @ X71 @ X70)=>(c @ X71 @ X22))))&(![X72:reg]:(((c @ X72 @ X70)=>(c @ X72 @ Z1)))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_29, c_0_24]), c_0_25])). 0.20/0.52 thf(c_0_36, plain, ![X91:$i, X90:$i]:((~(a @ X91 @ X90)|((![X81:reg]:(((c @ X81 @ paris)=>(c @ X81 @ france)))&~(![X82:reg]:(((c @ X82 @ france)=>(c @ X82 @ paris)))))&~(?[X83:reg]:((((c @ X83 @ paris)&~(?[X84:reg]:((![X85:reg]:(((c @ X85 @ X84)=>(c @ X85 @ X83)))&![X86:reg]:(((c @ X86 @ X84)=>(c @ X86 @ paris)))))))&((c @ X83 @ france)&~(?[X87:reg]:((![X88:reg]:(((c @ X88 @ X87)=>(c @ X88 @ X83)))&![X89:reg]:(((c @ X89 @ X87)=>(c @ X89 @ france))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax3]), c_0_30]), c_0_31]), c_0_32])])). 0.20/0.52 thf(c_0_37, negated_conjecture, ~(![X107:$i, X106:$i]:((~(a @ X107 @ X106)|![X22:reg]:((![X104:reg]:(((c @ X104 @ X22)=>(c @ X104 @ catalunya)))=>~(![X105:reg]:(((c @ X105 @ X22)=>(c @ X105 @ paris))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]), c_0_30]), c_0_31]), c_0_19])])). 0.20/0.52 thf(c_0_38, plain, ![X94:$i, X93:$i > $o]:((~(![X92:$i]:((~(fool @ X94 @ X92)|(X93 @ X92))))|(X93 @ X94))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[t_axiom_for_fool]), c_0_33]), c_0_34]), c_0_30]), c_0_31])])). 0.20/0.52 thf(c_0_39, plain, ![X123:$i, X122:$i]:((~(a @ X123 @ X122)|((![X113:reg]:(((c @ X113 @ catalunya)=>(c @ X113 @ spain)))&~(![X114:reg]:(((c @ X114 @ spain)=>(c @ X114 @ catalunya)))))&?[X115:reg]:((((c @ X115 @ catalunya)&~(?[X116:reg]:((![X117:reg]:(((c @ X117 @ X116)=>(c @ X117 @ X115)))&![X118:reg]:(((c @ X118 @ X116)=>(c @ X118 @ catalunya)))))))&((c @ X115 @ spain)&~(?[X119:reg]:((![X120:reg]:(((c @ X120 @ X119)=>(c @ X120 @ X115)))&![X121:reg]:(((c @ X121 @ X119)=>(c @ X121 @ 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_30]), c_0_31]), c_0_35])])). 0.20/0.52 thf(c_0_40, plain, ![X127:$i, X128:$i, X129:reg, X131:reg, X133:reg, X134:reg, X136:reg, X137:reg]:((((~(c @ X129 @ paris)|(c @ X129 @ france)|~(a @ X127 @ X128))&(((c @ esk1_0 @ france)|~(a @ X127 @ X128))&(~(c @ esk1_0 @ paris)|~(a @ X127 @ X128))))&(((~(c @ X136 @ (esk3_1 @ X131))|(c @ X136 @ X131)|~(c @ X131 @ france)|(~(c @ X133 @ (esk2_1 @ X131))|(c @ X133 @ X131)|~(c @ X131 @ paris))|~(a @ X127 @ X128))&(~(c @ X137 @ (esk3_1 @ X131))|(c @ X137 @ france)|~(c @ X131 @ france)|(~(c @ X133 @ (esk2_1 @ X131))|(c @ X133 @ X131)|~(c @ X131 @ paris))|~(a @ X127 @ X128)))&((~(c @ X136 @ (esk3_1 @ X131))|(c @ X136 @ X131)|~(c @ X131 @ france)|(~(c @ X134 @ (esk2_1 @ X131))|(c @ X134 @ paris)|~(c @ X131 @ paris))|~(a @ X127 @ X128))&(~(c @ X137 @ (esk3_1 @ X131))|(c @ X137 @ france)|~(c @ X131 @ france)|(~(c @ X134 @ (esk2_1 @ X131))|(c @ X134 @ paris)|~(c @ X131 @ paris))|~(a @ X127 @ X128)))))), 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_36])])])])])])). 0.20/0.52 thf(c_0_41, plain, (~((epred8_0))<=>![X3:$i, X14:$i]:(~((a @ X3 @ X14)))), introduced(definition)). 0.20/0.52 thf(c_0_42, negated_conjecture, ![X153:reg, X154:reg]:(((a @ esk7_0 @ esk8_0)&((~(c @ X153 @ esk9_0)|(c @ X153 @ catalunya))&(~(c @ X154 @ esk9_0)|(c @ X154 @ paris))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])). 0.20/0.52 thf(c_0_43, plain, ![X112:$i, X111:$i]:((~(fool @ X112 @ X111)|((c @ spain @ france)&~(?[X108:reg]:((![X109:reg]:(((c @ X109 @ X108)=>(c @ X109 @ spain)))&![X110:reg]:(((c @ X110 @ X108)=>(c @ X110 @ 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)],[ax2]), c_0_30]), c_0_31]), c_0_24])])). 0.20/0.52 thf(c_0_44, plain, (~((epred16_0))<=>![X3:$i, X14:$i]:(~((fool @ X3 @ X14)))), introduced(definition)). 0.20/0.52 thf(c_0_45, plain, ![X138:$i, X139:$i > $o]:((((fool @ X138 @ (esk4_2 @ X138 @ X139))|(X139 @ X138))&(~(X139 @ (esk4_2 @ X138 @ X139))|(X139 @ X138)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])])). 0.20/0.52 thf(c_0_46, plain, ![X160:$i, X161:$i, X162:reg, X165:reg, X168:reg]:((((~(c @ X162 @ catalunya)|(c @ X162 @ spain)|~(a @ X160 @ X161))&(((c @ esk12_0 @ spain)|~(a @ X160 @ X161))&(~(c @ esk12_0 @ catalunya)|~(a @ X160 @ X161))))&((((c @ esk13_0 @ catalunya)|~(a @ X160 @ X161))&((((c @ (esk15_1 @ X165) @ X165)|(c @ (esk14_1 @ X165) @ X165)|~(a @ X160 @ X161))&(~(c @ (esk15_1 @ X165) @ catalunya)|(c @ (esk14_1 @ X165) @ X165)|~(a @ X160 @ X161)))&(((c @ (esk15_1 @ X165) @ X165)|~(c @ (esk14_1 @ X165) @ esk13_0)|~(a @ X160 @ X161))&(~(c @ (esk15_1 @ X165) @ catalunya)|~(c @ (esk14_1 @ X165) @ esk13_0)|~(a @ X160 @ X161)))))&(((c @ esk13_0 @ spain)|~(a @ X160 @ X161))&((((c @ (esk17_1 @ X168) @ X168)|(c @ (esk16_1 @ X168) @ X168)|~(a @ X160 @ X161))&(~(c @ (esk17_1 @ X168) @ spain)|(c @ (esk16_1 @ X168) @ X168)|~(a @ X160 @ X161)))&(((c @ (esk17_1 @ X168) @ X168)|~(c @ (esk16_1 @ X168) @ esk13_0)|~(a @ X160 @ X161))&(~(c @ (esk17_1 @ X168) @ spain)|~(c @ (esk16_1 @ X168) @ esk13_0)|~(a @ X160 @ X161)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])])])). 0.20/0.52 thf(c_0_47, plain, (~((epred10_0))<=>![X3:$i, X14:$i]:(~((a @ X3 @ X14)))), introduced(definition)). 0.20/0.52 thf(c_0_48, plain, (~((epred7_0))<=>![X18:reg]:(((c @ X18 @ france)|~((c @ X18 @ paris))))), introduced(definition)). 0.20/0.52 thf(c_0_49, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_40])). 0.20/0.52 thf(c_0_50, plain, ![X3:$i, X14:$i]:(((epred8_0)|~((a @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_41])). 0.20/0.52 thf(c_0_51, negated_conjecture, (a @ esk7_0 @ esk8_0), inference(split_conjunct,[status(thm)],[c_0_42])). 0.20/0.52 thf(c_0_52, plain, (~((epred6_0))<=>![X3:$i, X14:$i]:(~((fool @ X3 @ X14)))), introduced(definition)). 0.20/0.52 thf(c_0_53, plain, ![X124:reg, X125:reg]:((~(c @ X124 @ X125)|(c @ X125 @ X124))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_symmetric])])). 0.20/0.52 thf(c_0_54, plain, ![X155:$i, X156:$i, X157:reg]:((((c @ spain @ france)|~(fool @ X155 @ X156))&((((c @ (esk11_1 @ X157) @ X157)|(c @ (esk10_1 @ X157) @ X157)|~(fool @ X155 @ X156))&(~(c @ (esk11_1 @ X157) @ france)|(c @ (esk10_1 @ X157) @ X157)|~(fool @ X155 @ X156)))&(((c @ (esk11_1 @ X157) @ X157)|~(c @ (esk10_1 @ X157) @ spain)|~(fool @ X155 @ X156))&(~(c @ (esk11_1 @ X157) @ france)|~(c @ (esk10_1 @ X157) @ spain)|~(fool @ X155 @ X156)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])])])])). 0.20/0.52 thf(c_0_55, plain, ![X3:$i, X14:$i]:(((epred16_0)|~((fool @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_44])). 0.20/0.52 thf(c_0_56, plain, ![X4:$i > $o, X3:$i]:(((fool @ X3 @ (esk4_2 @ X3 @ X4))|(X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_45])). 0.20/0.52 thf(c_0_57, plain, (~((epred24_0))<=>![X3:$i, X14:$i]:(~((fool @ X3 @ X14)))), introduced(definition)). 0.20/0.52 thf(c_0_58, plain, (~((epred9_0))<=>![X18:reg]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya))))), introduced(definition)). 0.20/0.52 thf(c_0_59, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.20/0.52 thf(c_0_60, plain, ![X3:$i, X14:$i]:(((epred10_0)|~((a @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_47])). 0.20/0.52 thf(c_0_61, plain, (~((epred12_0))<=>![X3:$i, X14:$i]:(~((fool @ X3 @ X14)))), introduced(definition)). 0.20/0.52 thf(c_0_62, plain, (~((epred8_0))|~((epred7_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_49, c_0_48]), c_0_41])). 0.20/0.52 thf(c_0_63, negated_conjecture, (epred8_0), inference(spm,[status(thm)],[c_0_50, c_0_51])). 0.20/0.52 thf(c_0_64, plain, ![X3:$i, X14:$i]:(((epred6_0)|~((fool @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_52])). 0.20/0.52 thf(c_0_65, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|~((c @ X18 @ esk9_0)))), inference(split_conjunct,[status(thm)],[c_0_42])). 0.20/0.52 thf(c_0_66, plain, ![X18:reg, X19:reg]:(((c @ X19 @ X18)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_53])). 0.20/0.52 thf(c_0_67, plain, (~((epred15_0))<=>![X18:reg]:(((c @ (esk10_1 @ X18) @ X18)|(c @ (esk11_1 @ X18) @ X18)))), introduced(definition)). 0.20/0.52 thf(c_0_68, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk11_1 @ X18) @ X18)|(c @ (esk10_1 @ X18) @ X18)|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_54])). 0.20/0.52 thf(c_0_69, plain, ![X4:$i > $o, X3:$i]:(((X4 @ X3)|(epred16_0))), inference(spm,[status(thm)],[c_0_55, c_0_56])). 0.20/0.52 thf(c_0_70, plain, ![X3:$i, X14:$i]:(((epred24_0)|~((fool @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_57])). 0.20/0.52 thf(c_0_71, plain, (~((epred10_0))|~((epred9_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_59, c_0_58]), c_0_47])). 0.20/0.52 thf(c_0_72, negated_conjecture, (epred10_0), inference(spm,[status(thm)],[c_0_60, c_0_51])). 0.20/0.52 thf(c_0_73, plain, ![X3:$i, X14:$i]:(((epred12_0)|~((fool @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_61])). 0.20/0.52 thf(c_0_74, plain, ![X18:reg]:(((c @ X18 @ france)|(epred7_0)|~((c @ X18 @ paris)))), inference(split_equiv,[status(thm)],[c_0_48])). 0.20/0.52 thf(c_0_75, plain, ~((epred7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63])])). 0.20/0.52 thf(c_0_76, plain, (~((epred5_0))<=>![X18:reg]:((~((c @ (esk11_1 @ X18) @ france))|~((c @ (esk10_1 @ X18) @ spain))))), introduced(definition)). 0.20/0.52 thf(c_0_77, plain, ![X18:reg, X3:$i, X14:$i]:((~((c @ (esk11_1 @ X18) @ france))|~((c @ (esk10_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_54])). 0.20/0.52 thf(c_0_78, plain, ![X4:$i > $o, X3:$i]:(((X4 @ X3)|(epred6_0))), inference(spm,[status(thm)],[c_0_64, c_0_56])). 0.20/0.52 thf(c_0_79, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|~((c @ esk9_0 @ X18)))), inference(spm,[status(thm)],[c_0_65, c_0_66])). 0.20/0.52 thf(c_0_80, plain, (~((epred16_0))|~((epred15_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_68, c_0_67]), c_0_44])). 0.20/0.52 thf(c_0_81, plain, (epred16_0), inference(spm,[status(thm)],[c_0_55, c_0_69])). 0.20/0.52 thf(c_0_82, plain, (~((epred23_0))<=>![X18:reg]:(((c @ (esk10_1 @ X18) @ X18)|~((c @ (esk11_1 @ X18) @ france))))), introduced(definition)). 0.20/0.52 thf(c_0_83, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk10_1 @ X18) @ X18)|~((c @ (esk11_1 @ X18) @ france))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_54])). 0.20/0.52 thf(c_0_84, plain, ![X4:$i > $o, X3:$i]:(((X4 @ X3)|(epred24_0))), inference(spm,[status(thm)],[c_0_70, c_0_56])). 0.20/0.52 thf(c_0_85, plain, ![X18:reg]:(((c @ X18 @ spain)|(epred9_0)|~((c @ X18 @ catalunya)))), inference(split_equiv,[status(thm)],[c_0_58])). 0.20/0.52 thf(c_0_86, plain, ~((epred9_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71, c_0_72])])). 0.20/0.52 thf(c_0_87, plain, (~((epred11_0))<=>![X18:reg]:(((c @ (esk11_1 @ X18) @ X18)|~((c @ (esk10_1 @ X18) @ spain))))), introduced(definition)). 0.20/0.52 thf(c_0_88, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk11_1 @ X18) @ X18)|~((c @ (esk10_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_54])). 0.20/0.52 thf(c_0_89, plain, ![X4:$i > $o, X3:$i]:(((X4 @ X3)|(epred12_0))), inference(spm,[status(thm)],[c_0_73, c_0_56])). 0.20/0.52 thf(c_0_90, plain, ![X18:reg]:(((c @ X18 @ france)|~((c @ X18 @ paris)))), inference(sr,[status(thm)],[c_0_74, c_0_75])). 0.20/0.52 thf(c_0_91, plain, (~((epred6_0))|~((epred5_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_77, c_0_76]), c_0_52])). 0.20/0.53 thf(c_0_92, plain, (epred6_0), inference(spm,[status(thm)],[c_0_64, c_0_78])). 0.20/0.53 thf(c_0_93, negated_conjecture, ![X18:reg]:(((c @ X18 @ catalunya)|~((c @ X18 @ esk9_0)))), inference(split_conjunct,[status(thm)],[c_0_42])). 0.20/0.53 thf(c_0_94, negated_conjecture, ![X18:reg]:(((c @ paris @ X18)|~((c @ esk9_0 @ X18)))), inference(spm,[status(thm)],[c_0_66, c_0_79])). 0.20/0.53 thf(c_0_95, plain, ![X18:reg]:(((c @ (esk11_1 @ X18) @ X18)|(c @ (esk10_1 @ X18) @ X18)|(epred15_0))), inference(split_equiv,[status(thm)],[c_0_67])). 0.20/0.53 thf(c_0_96, plain, ~((epred15_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_81])])). 0.20/0.53 thf(c_0_97, plain, (~((epred24_0))|~((epred23_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_83, c_0_82]), c_0_57])). 0.20/0.53 thf(c_0_98, plain, (epred24_0), inference(spm,[status(thm)],[c_0_70, c_0_84])). 0.20/0.53 thf(c_0_99, plain, ![X18:reg]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya)))), inference(sr,[status(thm)],[c_0_85, c_0_86])). 0.20/0.53 thf(c_0_100, plain, (~((epred12_0))|~((epred11_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_88, c_0_87]), c_0_61])). 0.20/0.53 thf(c_0_101, plain, (epred12_0), inference(spm,[status(thm)],[c_0_73, c_0_89])). 0.20/0.53 thf(c_0_102, plain, ![X18:reg]:(((epred5_0)|~((c @ (esk11_1 @ X18) @ france))|~((c @ (esk10_1 @ X18) @ spain)))), inference(split_equiv,[status(thm)],[c_0_76])). 0.20/0.53 thf(c_0_103, plain, ![X18:reg]:(((c @ X18 @ france)|~((c @ paris @ X18)))), inference(spm,[status(thm)],[c_0_90, c_0_66])). 0.20/0.53 thf(c_0_104, plain, ~((epred5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91, c_0_92])])). 0.20/0.53 thf(c_0_105, negated_conjecture, ![X18:reg]:(((c @ X18 @ catalunya)|~((c @ esk9_0 @ X18)))), inference(spm,[status(thm)],[c_0_93, c_0_66])). 0.20/0.53 thf(c_0_106, negated_conjecture, ![X18:reg]:(((c @ paris @ X18)|~((c @ X18 @ esk9_0)))), inference(spm,[status(thm)],[c_0_94, c_0_66])). 0.20/0.53 thf(c_0_107, plain, ![X18:reg]:(((c @ (esk10_1 @ X18) @ X18)|(c @ (esk11_1 @ X18) @ X18))), inference(sr,[status(thm)],[c_0_95, c_0_96])). 0.20/0.53 thf(c_0_108, plain, ![X18:reg]:(((c @ (esk10_1 @ X18) @ X18)|(epred23_0)|~((c @ (esk11_1 @ X18) @ france)))), inference(split_equiv,[status(thm)],[c_0_82])). 0.20/0.53 thf(c_0_109, plain, ~((epred23_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97, c_0_98])])). 0.20/0.53 thf(c_0_110, plain, ![X18:reg]:(((c @ (esk11_1 @ X18) @ X18)|(epred11_0)|~((c @ (esk10_1 @ X18) @ spain)))), inference(split_equiv,[status(thm)],[c_0_87])). 0.20/0.53 thf(c_0_111, plain, ![X18:reg]:(((c @ X18 @ spain)|~((c @ catalunya @ X18)))), inference(spm,[status(thm)],[c_0_99, c_0_66])). 0.20/0.53 thf(c_0_112, plain, ~((epred11_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100, c_0_101])])). 0.20/0.53 thf(c_0_113, plain, ![X18:reg]:((~((c @ (esk10_1 @ X18) @ spain))|~((c @ paris @ (esk11_1 @ X18))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_103]), c_0_104])). 0.20/0.53 thf(c_0_114, negated_conjecture, ![X18:reg]:(((c @ X18 @ spain)|~((c @ esk9_0 @ X18)))), inference(spm,[status(thm)],[c_0_99, c_0_105])). 0.20/0.53 thf(c_0_115, negated_conjecture, ((c @ (esk10_1 @ esk9_0) @ esk9_0)|(c @ paris @ (esk11_1 @ esk9_0))), inference(spm,[status(thm)],[c_0_106, c_0_107])). 0.20/0.53 thf(c_0_116, negated_conjecture, ![X18:reg]:(((c @ catalunya @ X18)|~((c @ esk9_0 @ X18)))), inference(spm,[status(thm)],[c_0_66, c_0_105])). 0.20/0.53 thf(c_0_117, plain, ![X18:reg]:(((c @ (esk10_1 @ X18) @ X18)|~((c @ (esk11_1 @ X18) @ france)))), inference(sr,[status(thm)],[c_0_108, c_0_109])). 0.20/0.53 thf(c_0_118, plain, ![X18:reg]:(((c @ (esk11_1 @ X18) @ X18)|~((c @ catalunya @ (esk10_1 @ X18))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_111]), c_0_112])). 0.20/0.53 thf(c_0_119, plain, ![X18:reg]:((~((c @ paris @ (esk11_1 @ X18)))|~((c @ catalunya @ (esk10_1 @ X18))))), inference(spm,[status(thm)],[c_0_113, c_0_111])). 0.20/0.53 thf(c_0_120, negated_conjecture, ![X18:reg]:(((c @ (esk11_1 @ X18) @ X18)|~((c @ esk9_0 @ (esk10_1 @ X18))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110, c_0_114]), c_0_112])). 0.20/0.53 thf(c_0_121, negated_conjecture, ((c @ paris @ (esk11_1 @ esk9_0))|(c @ esk9_0 @ (esk10_1 @ esk9_0))), inference(spm,[status(thm)],[c_0_66, c_0_115])). 0.20/0.53 thf(c_0_122, negated_conjecture, ![X18:reg]:(((c @ catalunya @ X18)|~((c @ X18 @ esk9_0)))), inference(spm,[status(thm)],[c_0_116, c_0_66])). 0.20/0.53 thf(c_0_123, plain, ![X18:reg]:(((c @ (esk10_1 @ X18) @ X18)|~((c @ france @ (esk11_1 @ X18))))), inference(spm,[status(thm)],[c_0_117, c_0_66])). 0.20/0.53 thf(c_0_124, negated_conjecture, ~((c @ catalunya @ (esk10_1 @ esk9_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_118]), c_0_119])). 0.20/0.53 thf(c_0_125, plain, ![X18:reg]:(((c @ france @ X18)|~((c @ paris @ X18)))), inference(spm,[status(thm)],[c_0_66, c_0_103])). 0.20/0.53 thf(c_0_126, negated_conjecture, (c @ paris @ (esk11_1 @ esk9_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_120]), c_0_121])). 0.20/0.53 thf(c_0_127, negated_conjecture, ~((c @ france @ (esk11_1 @ esk9_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122, c_0_123]), c_0_124])). 0.20/0.53 thf(c_0_128, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_126]), c_0_127]), ['proof']). 0.20/0.53 # SZS output end CNFRefutation 0.20/0.53 # Parsed axioms : 98 0.20/0.53 # Removed by relevancy pruning/SinE : 0 0.20/0.53 # Initial clauses : 85 0.20/0.53 # Removed in clause preprocessing : 49 0.20/0.53 # Initial clauses in saturation : 36 0.20/0.53 # Processed clauses : 389 0.20/0.53 # ...of these trivial : 26 0.20/0.53 # ...subsumed : 31 0.20/0.53 # ...remaining for further processing : 332 0.20/0.53 # Other redundant clauses eliminated : 0 0.20/0.53 # Clauses deleted for lack of memory : 0 0.20/0.53 # Backward-subsumed : 1 0.20/0.53 # Backward-rewritten : 51 0.20/0.53 # Generated clauses : 671 0.20/0.53 # ...of the previous two non-redundant : 537 0.20/0.53 # ...aggressively subsumed : 0 0.20/0.53 # Contextual simplify-reflections : 10 0.20/0.53 # Paramodulations : 616 0.20/0.53 # Factorizations : 0 0.20/0.53 # NegExts : 0 0.20/0.53 # Equation resolutions : 0 0.20/0.53 # Propositional unsat checks : 0 0.20/0.53 # Propositional check models : 0 0.20/0.53 # Propositional check unsatisfiable : 0 0.20/0.53 # Propositional clauses : 0 0.20/0.53 # Propositional clauses after purity: 0 0.20/0.53 # Propositional unsat core size : 0 0.20/0.53 # Propositional preprocessing time : 0.000 0.20/0.53 # Propositional encoding time : 0.000 0.20/0.53 # Propositional solver time : 0.000 0.20/0.53 # Success case prop preproc time : 0.000 0.20/0.53 # Success case prop encoding time : 0.000 0.20/0.53 # Success case prop solver time : 0.000 0.20/0.53 # Current number of processed clauses : 189 0.20/0.53 # Positive orientable unit clauses : 70 0.20/0.53 # Positive unorientable unit clauses: 0 0.20/0.53 # Negative unit clauses : 31 0.20/0.53 # Non-unit-clauses : 88 0.20/0.53 # Current number of unprocessed clauses: 232 0.20/0.53 # ...number of literals in the above : 662 0.20/0.53 # Current number of archived formulas : 0 0.20/0.53 # Current number of archived clauses : 125 0.20/0.53 # Clause-clause subsumption calls (NU) : 5563 0.20/0.53 # Rec. Clause-clause subsumption calls : 3393 0.20/0.53 # Non-unit clause-clause subsumptions : 36 0.20/0.53 # Unit Clause-clause subsumption calls : 979 0.20/0.53 # Rewrite failures with RHS unbound : 0 0.20/0.53 # BW rewrite match attempts : 35 0.20/0.53 # BW rewrite match successes : 25 0.20/0.53 # Condensation attempts : 405 0.20/0.53 # Condensation successes : 0 0.20/0.53 # Termbank termtop insertions : 13624 0.20/0.53 0.20/0.53 # ------------------------------------------------- 0.20/0.53 # User time : 0.035 s 0.20/0.53 # System time : 0.006 s 0.20/0.53 # Total time : 0.040 s 0.20/0.53 # Maximum resident set size: 2304 pages 0.20/0.53 0.20/0.53 # ------------------------------------------------- 0.20/0.53 # User time : 0.036 s 0.20/0.53 # System time : 0.009 s 0.20/0.53 # Total time : 0.045 s 0.20/0.53 # Maximum resident set size: 1832 pages 0.20/0.53 EOF