0.06/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.06/0.12 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.11/0.33 % Computer : n025.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 : 1920 0.11/0.33 % WCLimit : 240 0.11/0.33 % DateTime : Wed Jul 30 05:57:19 EDT 2025 0.11/0.33 % CPUTime : 0.19/0.48 Running higher-order theorem proving 0.19/0.49 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=240 /export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p 6.44/1.28 # Version: 3.0.0-ho 6.44/1.28 # Preprocessing class: HSMSSMSSMLMNHSN. 6.44/1.28 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 6.44/1.28 # Starting ho_unfolding_3 with 1200s (5) cores 6.44/1.28 # Starting ehoh_best2_full_lfho with 240s (1) cores 6.44/1.28 # Starting almost_fo_3_lam with 240s (1) cores 6.44/1.28 # Starting post_as_ho1 with 240s (1) cores 6.44/1.28 # ho_unfolding_3 with pid 31026 completed with status 0 6.44/1.28 # Result found by ho_unfolding_3 6.44/1.28 # Preprocessing class: HSMSSMSSMLMNHSN. 6.44/1.28 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 6.44/1.28 # Starting ho_unfolding_3 with 1200s (5) cores 6.44/1.28 # No SInE strategy applied 6.44/1.28 # Search class: HGHNF-FFMF21-SHSSMFBN 6.44/1.28 # partial match(1): HGHNF-FFMF21-SHSSMSBN 6.44/1.28 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 6.44/1.28 # Starting new_ho_9 with 649s (1) cores 6.44/1.28 # Starting ho_unfolding_3 with 121s (1) cores 6.44/1.28 # Starting pre_casc_8 with 109s (1) cores 6.44/1.28 # Starting post_as_ho2 with 109s (1) cores 6.44/1.28 # Starting post_as_ho1 with 109s (1) cores 6.44/1.28 # ho_unfolding_3 with pid 31033 completed with status 0 6.44/1.28 # Result found by ho_unfolding_3 6.44/1.28 # Preprocessing class: HSMSSMSSMLMNHSN. 6.44/1.28 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 6.44/1.28 # Starting ho_unfolding_3 with 1200s (5) cores 6.44/1.28 # No SInE strategy applied 6.44/1.28 # Search class: HGHNF-FFMF21-SHSSMFBN 6.44/1.28 # partial match(1): HGHNF-FFMF21-SHSSMSBN 6.44/1.28 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 6.44/1.28 # Starting new_ho_9 with 649s (1) cores 6.44/1.28 # Starting ho_unfolding_3 with 121s (1) cores 6.44/1.28 # Preprocessing time : 0.006 s 6.44/1.28 # Presaturation interreduction done 6.44/1.28 6.44/1.28 # Proof found! 6.44/1.28 # SZS status Theorem 6.44/1.28 # SZS output start CNFRefutation 6.44/1.28 thf(decl_sort1, type, reg: $tType). 6.44/1.28 thf(decl_25, type, mnot: ($i > $o) > $i > $o). 6.44/1.28 thf(decl_26, type, mor: ($i > $o) > ($i > $o) > $i > $o). 6.44/1.28 thf(decl_28, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 6.44/1.28 thf(decl_33, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 6.44/1.28 thf(decl_38, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 6.44/1.28 thf(decl_50, type, mvalid: ($i > $o) > $o). 6.44/1.28 thf(decl_54, type, c: reg > reg > $o). 6.44/1.28 thf(decl_55, type, dc: reg > reg > $o). 6.44/1.28 thf(decl_56, type, p: reg > reg > $o). 6.44/1.28 thf(decl_58, type, o: reg > reg > $o). 6.44/1.28 thf(decl_60, type, ec: reg > reg > $o). 6.44/1.28 thf(decl_61, type, pp: reg > reg > $o). 6.44/1.28 thf(decl_62, type, tpp: reg > reg > $o). 6.44/1.28 thf(decl_63, type, ntpp: reg > reg > $o). 6.44/1.28 thf(decl_64, type, catalunya: reg). 6.44/1.28 thf(decl_65, type, france: reg). 6.44/1.28 thf(decl_66, type, spain: reg). 6.44/1.28 thf(decl_67, type, paris: reg). 6.44/1.28 thf(decl_68, type, a: $i > $i > $o). 6.44/1.28 thf(decl_69, type, fool: $i > $i > $o). 6.44/1.28 thf(decl_70, type, esk1_1: reg > reg). 6.44/1.28 thf(decl_71, type, esk2_1: reg > reg). 6.44/1.28 thf(decl_72, type, esk3_2: $i > ($i > $o) > $i). 6.44/1.28 thf(decl_73, type, esk4_0: $i). 6.44/1.28 thf(decl_74, type, esk5_0: $i). 6.44/1.28 thf(decl_75, type, esk6_0: reg). 6.44/1.28 thf(decl_76, type, esk7_0: reg). 6.44/1.28 thf(decl_77, type, esk8_1: reg > reg). 6.44/1.28 thf(decl_78, type, esk9_1: reg > reg). 6.44/1.28 thf(decl_79, type, esk10_1: reg > reg). 6.44/1.28 thf(decl_80, type, esk11_1: reg > reg). 6.44/1.28 thf(decl_81, type, esk12_0: reg). 6.44/1.28 thf(decl_82, type, esk13_1: reg > reg). 6.44/1.28 thf(decl_83, type, esk14_1: reg > reg). 6.44/1.28 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:(((p @ X22 @ X25)&(p @ X22 @ X26)))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', o)). 6.44/1.28 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:(((c @ X22 @ X20)=>(c @ X22 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', p)). 6.44/1.28 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:(((c @ X29 @ X30)&~((o @ X29 @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', ec)). 6.44/1.28 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:(((p @ X31 @ X32)&~((p @ X32 @ X31)))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', pp)). 6.44/1.28 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', mimplies)). 6.44/1.28 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', mnot)). 6.44/1.28 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', mor)). 6.44/1.28 thf(ntpp, axiom, ((ntpp)=(^[X35:reg, X36:reg]:(((pp @ X35 @ X36)&~(?[X22:reg]:(((ec @ X22 @ X35)&(ec @ X22 @ X36)))))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', ntpp)). 6.44/1.28 thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', mforall_prop)). 6.44/1.28 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', mbox)). 6.44/1.28 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', mvalid)). 6.44/1.28 thf(dc, axiom, ((dc)=(^[X18:reg, X19:reg]:(~((c @ X18 @ X19))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', dc)). 6.44/1.28 thf(tpp, axiom, ((tpp)=(^[X33:reg, X34:reg]:(((pp @ X33 @ X34)&?[X22:reg]:(((ec @ X22 @ X33)&(ec @ X22 @ X34))))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', tpp)). 6.44/1.28 thf(i_axiom_for_fool_a, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mbox @ fool @ X6) @ (mbox @ a @ X6))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', i_axiom_for_fool_a)). 6.44/1.28 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X41:$i]:(((dc @ spain @ paris)&(dc @ catalunya @ paris)))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', con)). 6.44/1.28 thf(c_symmetric, axiom, ![X38:reg, X39:reg]:(((c @ X39 @ X38)<=(c @ X38 @ X39))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', c_symmetric)). 6.44/1.28 thf(ax3, axiom, (mvalid @ (mbox @ a @ (^[X43:$i]:((ntpp @ paris @ france))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', ax3)). 6.44/1.28 thf(ax2, axiom, (mvalid @ (mbox @ fool @ (^[X40:$i]:((ec @ spain @ france))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', ax2)). 6.44/1.28 thf(ax1, axiom, (mvalid @ (mbox @ a @ (^[X42:$i]:((tpp @ catalunya @ spain))))), file('/export/starexec/sandbox/tmp/tmp.B9kORjYWHf/E---3.1_30948.p', ax1)). 6.44/1.28 thf(c_0_19, plain, ((o)=(^[Z0/* 19 */:reg, Z1:reg]:(?[X22:reg]:(((![X52:reg]:(((c @ X52 @ X22)=>(c @ X52 @ Z0))))&(![X53:reg]:(((c @ X53 @ X22)=>(c @ X53 @ Z1))))))))), inference(fof_simplification,[status(thm)],[o])). 6.44/1.28 thf(c_0_20, plain, ((p)=(^[Z0/* 19 */:reg, Z1:reg]:(![X22:reg]:(((c @ X22 @ Z0)=>(c @ X22 @ Z1)))))), inference(fof_simplification,[status(thm)],[p])). 6.44/1.28 thf(c_0_21, plain, ((ec)=(^[Z0/* 19 */:reg, Z1:reg]:(((c @ Z0 @ Z1)&~((?[X59:reg]:(((![X60:reg]:(((c @ X60 @ X59)=>(c @ X60 @ Z0))))&(![X61:reg]:(((c @ X61 @ X59)=>(c @ X61 @ Z1)))))))))))), inference(fof_simplification,[status(thm)],[ec])). 6.44/1.28 thf(c_0_22, plain, ((o)=(^[Z0/* 19 */:reg, Z1:reg]:(?[X22:reg]:(((![X52:reg]:(((c @ X52 @ X22)=>(c @ X52 @ Z0))))&(![X53:reg]:(((c @ X53 @ X22)=>(c @ X53 @ Z1))))))))), inference(apply_def,[status(thm)],[c_0_19, c_0_20])). 6.44/1.28 thf(c_0_23, plain, ((pp)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X62:reg]:(((c @ X62 @ Z0)=>(c @ X62 @ Z1))))&~((![X63:reg]:(((c @ X63 @ Z1)=>(c @ X63 @ Z0))))))))), inference(fof_simplification,[status(thm)],[pp])). 6.44/1.28 thf(c_0_24, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 6.44/1.28 thf(c_0_25, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 6.44/1.28 thf(c_0_26, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 6.44/1.28 thf(c_0_27, plain, ((ntpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X72:reg]:(((c @ X72 @ Z0)=>(c @ X72 @ Z1))))&~((![X73:reg]:(((c @ X73 @ Z1)=>(c @ X73 @ Z0)))))))&~(?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X74:reg]:(((![X75:reg]:(((c @ X75 @ X74)=>(c @ X75 @ X22))))&(![X76:reg]:(((c @ X76 @ X74)=>(c @ X76 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X77:reg]:(((![X78:reg]:(((c @ X78 @ X77)=>(c @ X78 @ X22))))&(![X79:reg]:(((c @ X79 @ X77)=>(c @ X79 @ Z1))))))))))))))))), inference(fof_simplification,[status(thm)],[ntpp])). 6.44/1.28 thf(c_0_28, plain, ((ec)=(^[Z0/* 19 */:reg, Z1:reg]:(((c @ Z0 @ Z1)&~((?[X59:reg]:(((![X60:reg]:(((c @ X60 @ X59)=>(c @ X60 @ Z0))))&(![X61:reg]:(((c @ X61 @ X59)=>(c @ X61 @ Z1)))))))))))), inference(apply_def,[status(thm)],[c_0_21, c_0_22])). 6.44/1.28 thf(c_0_29, plain, ((pp)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X62:reg]:(((c @ X62 @ Z0)=>(c @ X62 @ Z1))))&~((![X63:reg]:(((c @ X63 @ Z1)=>(c @ X63 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_23, c_0_20])). 6.44/1.28 thf(c_0_30, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_24, c_0_25]), c_0_26])). 6.44/1.28 thf(c_0_31, plain, ((mforall_prop)=(^[Z0/* 19 */:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])). 6.44/1.28 thf(c_0_32, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 6.44/1.28 thf(c_0_33, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 6.44/1.28 thf(c_0_34, plain, ((dc)=(^[Z0/* 19 */:reg, Z1:reg]:(~((c @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[dc])). 6.44/1.28 thf(c_0_35, plain, ((tpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X64:reg]:(((c @ X64 @ Z0)=>(c @ X64 @ Z1))))&~((![X65:reg]:(((c @ X65 @ Z1)=>(c @ X65 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X66:reg]:(((![X67:reg]:(((c @ X67 @ X66)=>(c @ X67 @ X22))))&(![X68:reg]:(((c @ X68 @ X66)=>(c @ X68 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X69:reg]:(((![X70:reg]:(((c @ X70 @ X69)=>(c @ X70 @ X22))))&(![X71:reg]:(((c @ X71 @ X69)=>(c @ X71 @ Z1)))))))))))))))), inference(fof_simplification,[status(thm)],[tpp])). 6.44/1.28 thf(c_0_36, plain, ((ntpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X72:reg]:(((c @ X72 @ Z0)=>(c @ X72 @ Z1))))&~((![X73:reg]:(((c @ X73 @ Z1)=>(c @ X73 @ Z0)))))))&~(?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X74:reg]:(((![X75:reg]:(((c @ X75 @ X74)=>(c @ X75 @ X22))))&(![X76:reg]:(((c @ X76 @ X74)=>(c @ X76 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X77:reg]:(((![X78:reg]:(((c @ X78 @ X77)=>(c @ X78 @ X22))))&(![X79:reg]:(((c @ X79 @ X77)=>(c @ X79 @ Z1))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27, c_0_28]), c_0_29])). 6.44/1.28 thf(c_0_37, plain, ![X88:$i, X87:$i > $o]:((~(![X85:$i]:((~(fool @ X88 @ X85)|(X87 @ X85))))|![X86:$i]:((~(a @ X88 @ X86)|(X87 @ X86))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[i_axiom_for_fool_a]), c_0_30]), c_0_31]), c_0_32]), c_0_33])])). 6.44/1.28 thf(c_0_38, negated_conjecture, ~(![X90:$i, X89:$i]:((~(a @ X90 @ X89)|(~(c @ spain @ paris)&~(c @ catalunya @ paris))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]), c_0_32]), c_0_33]), c_0_34])])). 6.44/1.28 thf(c_0_39, plain, ((tpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X64:reg]:(((c @ X64 @ Z0)=>(c @ X64 @ Z1))))&~((![X65:reg]:(((c @ X65 @ Z1)=>(c @ X65 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X66:reg]:(((![X67:reg]:(((c @ X67 @ X66)=>(c @ X67 @ X22))))&(![X68:reg]:(((c @ X68 @ X66)=>(c @ X68 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X69:reg]:(((![X70:reg]:(((c @ X70 @ X69)=>(c @ X70 @ X22))))&(![X71:reg]:(((c @ X71 @ X69)=>(c @ X71 @ Z1)))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_35, c_0_28]), c_0_29])). 6.44/1.28 thf(c_0_40, plain, ![X38:reg, X39:reg]:(((c @ X38 @ X39)=>(c @ X39 @ X38))), inference(fof_simplification,[status(thm)],[c_symmetric])). 6.44/1.28 thf(c_0_41, plain, ![X112:$i, X111:$i]:((~(a @ X112 @ X111)|((![X102:reg]:(((c @ X102 @ paris)=>(c @ X102 @ france)))&~(![X103:reg]:(((c @ X103 @ france)=>(c @ X103 @ paris)))))&~(?[X104:reg]:((((c @ X104 @ paris)&~(?[X105:reg]:((![X106:reg]:(((c @ X106 @ X105)=>(c @ X106 @ X104)))&![X107:reg]:(((c @ X107 @ X105)=>(c @ X107 @ paris)))))))&((c @ X104 @ france)&~(?[X108:reg]:((![X109:reg]:(((c @ X109 @ X108)=>(c @ X109 @ X104)))&![X110:reg]:(((c @ X110 @ X108)=>(c @ X110 @ france))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax3]), c_0_32]), c_0_33]), c_0_36])])). 6.44/1.28 thf(c_0_42, plain, ![X84:$i, X83:$i]:((~(fool @ X84 @ X83)|((c @ spain @ france)&~(?[X80:reg]:((![X81:reg]:(((c @ X81 @ X80)=>(c @ X81 @ spain)))&![X82:reg]:(((c @ X82 @ X80)=>(c @ X82 @ france))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax2]), c_0_32]), c_0_33]), c_0_28])])). 6.44/1.28 thf(c_0_43, plain, ![X121:$i, X122:$i > $o, X124:$i]:((((fool @ X121 @ (esk3_2 @ X121 @ X122))|(~(a @ X121 @ X124)|(X122 @ X124)))&(~(X122 @ (esk3_2 @ X121 @ X122))|(~(a @ X121 @ X124)|(X122 @ X124))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])])])). 6.44/1.28 thf(c_0_44, negated_conjecture, ((a @ esk4_0 @ esk5_0)&((c @ spain @ paris)|(c @ catalunya @ paris))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])). 6.44/1.28 thf(c_0_45, plain, ![X101:$i, X100:$i]:((~(a @ X101 @ X100)|((![X91:reg]:(((c @ X91 @ catalunya)=>(c @ X91 @ spain)))&~(![X92:reg]:(((c @ X92 @ spain)=>(c @ X92 @ catalunya)))))&?[X93:reg]:((((c @ X93 @ catalunya)&~(?[X94:reg]:((![X95:reg]:(((c @ X95 @ X94)=>(c @ X95 @ X93)))&![X96:reg]:(((c @ X96 @ X94)=>(c @ X96 @ catalunya)))))))&((c @ X93 @ spain)&~(?[X97:reg]:((![X98:reg]:(((c @ X98 @ X97)=>(c @ X98 @ X93)))&![X99:reg]:(((c @ X99 @ X97)=>(c @ X99 @ 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_32]), c_0_33]), c_0_39])])). 6.44/1.28 thf(c_0_46, plain, ![X114:reg, X115:reg]:((~(c @ X114 @ X115)|(c @ X115 @ X114))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])). 6.44/1.28 thf(c_0_47, plain, ![X138:$i, X139:$i, X140:reg, X142:reg, X144:reg, X145:reg, X147:reg, X148:reg]:((((~(c @ X140 @ paris)|(c @ X140 @ france)|~(a @ X138 @ X139))&(((c @ esk12_0 @ france)|~(a @ X138 @ X139))&(~(c @ esk12_0 @ paris)|~(a @ X138 @ X139))))&(((~(c @ X147 @ (esk14_1 @ X142))|(c @ X147 @ X142)|~(c @ X142 @ france)|(~(c @ X144 @ (esk13_1 @ X142))|(c @ X144 @ X142)|~(c @ X142 @ paris))|~(a @ X138 @ X139))&(~(c @ X148 @ (esk14_1 @ X142))|(c @ X148 @ france)|~(c @ X142 @ france)|(~(c @ X144 @ (esk13_1 @ X142))|(c @ X144 @ X142)|~(c @ X142 @ paris))|~(a @ X138 @ X139)))&((~(c @ X147 @ (esk14_1 @ X142))|(c @ X147 @ X142)|~(c @ X142 @ france)|(~(c @ X145 @ (esk13_1 @ X142))|(c @ X145 @ paris)|~(c @ X142 @ paris))|~(a @ X138 @ X139))&(~(c @ X148 @ (esk14_1 @ X142))|(c @ X148 @ france)|~(c @ X142 @ france)|(~(c @ X145 @ (esk13_1 @ X142))|(c @ X145 @ paris)|~(c @ X142 @ paris))|~(a @ X138 @ X139)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])])])])). 6.44/1.28 thf(c_0_48, plain, ![X116:$i, X117:$i, X118:reg]:((((c @ spain @ france)|~(fool @ X116 @ X117))&((((c @ (esk2_1 @ X118) @ X118)|(c @ (esk1_1 @ X118) @ X118)|~(fool @ X116 @ X117))&(~(c @ (esk2_1 @ X118) @ france)|(c @ (esk1_1 @ X118) @ X118)|~(fool @ X116 @ X117)))&(((c @ (esk2_1 @ X118) @ X118)|~(c @ (esk1_1 @ X118) @ spain)|~(fool @ X116 @ X117))&(~(c @ (esk2_1 @ X118) @ france)|~(c @ (esk1_1 @ X118) @ spain)|~(fool @ X116 @ X117)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])])])])])). 6.44/1.28 thf(c_0_49, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((fool @ X3 @ (esk3_2 @ X3 @ X4))|(X4 @ X14)|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_43])). 6.44/1.28 thf(c_0_50, negated_conjecture, (a @ esk4_0 @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_44])). 6.44/1.28 thf(c_0_51, plain, ![X127:$i, X128:$i, X129:reg, X132:reg, X135:reg]:((((~(c @ X129 @ catalunya)|(c @ X129 @ spain)|~(a @ X127 @ X128))&(((c @ esk6_0 @ spain)|~(a @ X127 @ X128))&(~(c @ esk6_0 @ catalunya)|~(a @ X127 @ X128))))&((((c @ esk7_0 @ catalunya)|~(a @ X127 @ X128))&((((c @ (esk9_1 @ X132) @ X132)|(c @ (esk8_1 @ X132) @ X132)|~(a @ X127 @ X128))&(~(c @ (esk9_1 @ X132) @ catalunya)|(c @ (esk8_1 @ X132) @ X132)|~(a @ X127 @ X128)))&(((c @ (esk9_1 @ X132) @ X132)|~(c @ (esk8_1 @ X132) @ esk7_0)|~(a @ X127 @ X128))&(~(c @ (esk9_1 @ X132) @ catalunya)|~(c @ (esk8_1 @ X132) @ esk7_0)|~(a @ X127 @ X128)))))&(((c @ esk7_0 @ spain)|~(a @ X127 @ X128))&((((c @ (esk11_1 @ X135) @ X135)|(c @ (esk10_1 @ X135) @ X135)|~(a @ X127 @ X128))&(~(c @ (esk11_1 @ X135) @ spain)|(c @ (esk10_1 @ X135) @ X135)|~(a @ X127 @ X128)))&(((c @ (esk11_1 @ X135) @ X135)|~(c @ (esk10_1 @ X135) @ esk7_0)|~(a @ X127 @ X128))&(~(c @ (esk11_1 @ X135) @ spain)|~(c @ (esk10_1 @ X135) @ esk7_0)|~(a @ X127 @ X128)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])])])])])). 6.44/1.28 thf(c_0_52, plain, ![X18:reg, X19:reg]:(((c @ X19 @ X18)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_46])). 6.44/1.28 thf(c_0_53, negated_conjecture, ((c @ spain @ paris)|(c @ catalunya @ paris)), inference(split_conjunct,[status(thm)],[c_0_44])). 6.44/1.28 thf(c_0_54, plain, ![X20:reg, X19:reg, X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|(c @ X20 @ paris)|~((c @ X18 @ (esk14_1 @ X19)))|~((c @ X19 @ france))|~((c @ X20 @ (esk13_1 @ X19)))|~((c @ X19 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_47])). 6.44/1.28 thf(c_0_55, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_47])). 6.44/1.28 thf(c_0_56, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk2_1 @ X18) @ X18)|(c @ (esk1_1 @ X18) @ X18)|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_48])). 6.44/1.28 thf(c_0_57, negated_conjecture, ![X4:$i > $o]:(((fool @ esk4_0 @ (esk3_2 @ esk4_0 @ X4))|(X4 @ esk5_0))), inference(spm,[status(thm)],[c_0_49, c_0_50])). 6.44/1.28 thf(c_0_58, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_51])). 6.44/1.28 thf(c_0_59, negated_conjecture, ((c @ spain @ paris)|(c @ paris @ catalunya)), inference(spm,[status(thm)],[c_0_52, c_0_53])). 6.44/1.28 thf(c_0_60, plain, ![X20:reg, X19:reg, X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|(c @ X19 @ paris)|~((c @ X19 @ (esk13_1 @ X20)))|~((c @ X18 @ (esk14_1 @ X20)))|~((c @ X20 @ paris))|~((a @ X3 @ X14)))), inference(csr,[status(thm)],[c_0_54, c_0_55])). 6.44/1.28 thf(c_0_61, negated_conjecture, ![X18:reg]:(((c @ (esk2_1 @ X18) @ X18)|(c @ (esk1_1 @ X18) @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_56])). 6.44/1.28 thf(c_0_62, negated_conjecture, ![X3:$i, X14:$i]:(((c @ paris @ spain)|~((a @ X3 @ X14)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_59]), c_0_52])). 6.44/1.28 thf(c_0_63, negated_conjecture, ![X19:reg, X18:reg, X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ X18)) @ (esk13_1 @ X18))|(c @ (esk2_1 @ (esk13_1 @ X18)) @ paris)|(c @ X19 @ france)|~((c @ X19 @ (esk14_1 @ X18)))|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_60, c_0_61])). 6.44/1.28 thf(c_0_64, negated_conjecture, (c @ paris @ spain), inference(spm,[status(thm)],[c_0_62, c_0_50])). 6.44/1.28 thf(c_0_65, negated_conjecture, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk14_1 @ X18)) @ (esk14_1 @ X18))|(c @ (esk1_1 @ (esk13_1 @ X18)) @ (esk13_1 @ X18))|(c @ (esk2_1 @ (esk14_1 @ X18)) @ france)|(c @ (esk2_1 @ (esk13_1 @ X18)) @ paris)|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_63, c_0_61])). 6.44/1.28 thf(c_0_66, negated_conjecture, (c @ spain @ paris), inference(spm,[status(thm)],[c_0_52, c_0_64])). 6.44/1.28 thf(c_0_67, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk1_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|(c @ (esk2_1 @ (esk14_1 @ spain)) @ france)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_65, c_0_66])). 6.44/1.28 thf(c_0_68, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((X4 @ X14)|~((X4 @ (esk3_2 @ X3 @ X4)))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_43])). 6.44/1.28 thf(c_0_69, plain, ![X20:reg, X19:reg, X18:reg, X3:$i, X14:$i]:(((c @ X18 @ X19)|(c @ X20 @ paris)|~((c @ X18 @ (esk14_1 @ X19)))|~((c @ X19 @ france))|~((c @ X20 @ (esk13_1 @ X19)))|~((c @ X19 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_47])). 6.44/1.28 thf(c_0_70, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk1_1 @ X18) @ X18)|~((c @ (esk2_1 @ X18) @ france))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_48])). 6.44/1.28 thf(c_0_71, negated_conjecture, ((c @ (esk1_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk2_1 @ (esk14_1 @ spain)) @ france)|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)), inference(spm,[status(thm)],[c_0_67, c_0_50])). 6.44/1.28 thf(c_0_72, plain, ![X3:$i, X14:$i]:((((esk3_2 @ X3 @ (^[Z0/* 4 */:$i]:(((Z0)!=(X14)))))=(X14))|~((a @ X3 @ X14)))), inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]), c_0_68])). 6.44/1.28 thf(c_0_73, plain, ![X20:reg, X19:reg, X18:reg, X3:$i, X14:$i]:(((c @ X18 @ paris)|(c @ X19 @ X20)|~((c @ X18 @ (esk13_1 @ X20)))|~((c @ X19 @ (esk14_1 @ X20)))|~((c @ X20 @ paris))|~((a @ X3 @ X14)))), inference(csr,[status(thm)],[c_0_69, c_0_55])). 6.44/1.28 thf(c_0_74, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk1_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_70, c_0_71])). 6.44/1.28 thf(c_0_75, negated_conjecture, (fool @ esk4_0 @ esk5_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_72])])]), c_0_50])])). 6.44/1.28 thf(c_0_76, negated_conjecture, ![X19:reg, X18:reg, X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ X18)) @ (esk13_1 @ X18))|(c @ (esk2_1 @ (esk13_1 @ X18)) @ paris)|(c @ X19 @ X18)|~((c @ X19 @ (esk14_1 @ X18)))|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_73, c_0_61])). 6.44/1.28 thf(c_0_77, negated_conjecture, ((c @ (esk1_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)), inference(spm,[status(thm)],[c_0_74, c_0_75])). 6.44/1.28 thf(c_0_78, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk1_1 @ (esk14_1 @ spain)) @ spain)|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|~((a @ X3 @ X14)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_77]), c_0_66])])). 6.44/1.28 thf(c_0_79, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk2_1 @ X18) @ X18)|~((c @ (esk1_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_48])). 6.44/1.28 thf(c_0_80, negated_conjecture, ((c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|(c @ (esk1_1 @ (esk14_1 @ spain)) @ spain)), inference(spm,[status(thm)],[c_0_78, c_0_50])). 6.44/1.28 thf(c_0_81, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk2_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_79, c_0_80])). 6.44/1.28 thf(c_0_82, negated_conjecture, ((c @ (esk2_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)), inference(spm,[status(thm)],[c_0_81, c_0_75])). 6.44/1.28 thf(c_0_83, plain, ![X18:reg, X3:$i, X14:$i]:((~((c @ (esk2_1 @ X18) @ france))|~((c @ (esk1_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_48])). 6.44/1.28 thf(c_0_84, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk2_1 @ (esk14_1 @ spain)) @ france)|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|~((a @ X3 @ X14)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_82]), c_0_66])])). 6.44/1.28 thf(c_0_85, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|~((c @ (esk2_1 @ (esk14_1 @ spain)) @ france))|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_83, c_0_80])). 6.44/1.28 thf(c_0_86, negated_conjecture, ((c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|(c @ (esk2_1 @ (esk14_1 @ spain)) @ france)), inference(spm,[status(thm)],[c_0_84, c_0_50])). 6.44/1.28 thf(c_0_87, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_85, c_0_86])). 6.44/1.28 thf(c_0_88, negated_conjecture, ((c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)), inference(spm,[status(thm)],[c_0_87, c_0_75])). 6.44/1.28 thf(c_0_89, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ france)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_55, c_0_88])). 6.44/1.28 thf(c_0_90, negated_conjecture, ((c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ france)), inference(spm,[status(thm)],[c_0_89, c_0_50])). 6.44/1.28 thf(c_0_91, plain, ![X20:reg, X19:reg, X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|(c @ X20 @ X19)|~((c @ X18 @ (esk14_1 @ X19)))|~((c @ X19 @ france))|~((c @ X20 @ (esk13_1 @ X19)))|~((c @ X19 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_47])). 6.44/1.28 thf(c_0_92, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_70, c_0_90])). 6.44/1.28 thf(c_0_93, plain, ![X20:reg, X19:reg, X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|(c @ X19 @ X20)|~((c @ X19 @ (esk13_1 @ X20)))|~((c @ X18 @ (esk14_1 @ X20)))|~((c @ X20 @ paris))|~((a @ X3 @ X14)))), inference(csr,[status(thm)],[c_0_91, c_0_55])). 6.44/1.28 thf(c_0_94, negated_conjecture, (c @ (esk1_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain)), inference(spm,[status(thm)],[c_0_92, c_0_75])). 6.44/1.28 thf(c_0_95, negated_conjecture, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)|(c @ X18 @ france)|~((c @ X18 @ (esk14_1 @ spain)))|~((a @ X3 @ X14)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_66])])). 6.44/1.28 thf(c_0_96, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk2_1 @ (esk14_1 @ spain)) @ france)|(c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_95, c_0_61])). 6.44/1.28 thf(c_0_97, plain, ![X20:reg, X19:reg, X18:reg, X3:$i, X14:$i]:(((c @ X18 @ X19)|(c @ X20 @ X19)|~((c @ X18 @ (esk14_1 @ X19)))|~((c @ X19 @ france))|~((c @ X20 @ (esk13_1 @ X19)))|~((c @ X19 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_47])). 6.44/1.28 thf(c_0_98, negated_conjecture, ((c @ (esk1_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)|(c @ (esk2_1 @ (esk14_1 @ spain)) @ france)), inference(spm,[status(thm)],[c_0_96, c_0_50])). 6.44/1.28 thf(c_0_99, plain, ![X20:reg, X19:reg, X18:reg, X3:$i, X14:$i]:(((c @ X18 @ X19)|(c @ X20 @ X19)|~((c @ X20 @ (esk13_1 @ X19)))|~((c @ X18 @ (esk14_1 @ X19)))|~((c @ X19 @ paris))|~((a @ X3 @ X14)))), inference(csr,[status(thm)],[c_0_97, c_0_55])). 6.44/1.28 thf(c_0_100, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_70, c_0_98])). 6.44/1.28 thf(c_0_101, negated_conjecture, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)|(c @ X18 @ spain)|~((c @ X18 @ (esk14_1 @ spain)))|~((a @ X3 @ X14)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_94]), c_0_66])])). 6.44/1.28 thf(c_0_102, negated_conjecture, ((c @ (esk1_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)), inference(spm,[status(thm)],[c_0_100, c_0_75])). 6.44/1.28 thf(c_0_103, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk14_1 @ spain)) @ spain)|(c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_101, c_0_102])). 6.44/1.28 thf(c_0_104, negated_conjecture, ((c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)|(c @ (esk1_1 @ (esk14_1 @ spain)) @ spain)), inference(spm,[status(thm)],[c_0_103, c_0_50])). 6.44/1.28 thf(c_0_105, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk2_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_79, c_0_104])). 6.44/1.28 thf(c_0_106, negated_conjecture, ((c @ (esk2_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)), inference(spm,[status(thm)],[c_0_105, c_0_75])). 6.44/1.28 thf(c_0_107, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk2_1 @ (esk14_1 @ spain)) @ france)|(c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_95, c_0_106])). 6.44/1.28 thf(c_0_108, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)|~((c @ (esk2_1 @ (esk14_1 @ spain)) @ france))|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_83, c_0_104])). 6.44/1.28 thf(c_0_109, negated_conjecture, ((c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)|(c @ (esk2_1 @ (esk14_1 @ spain)) @ france)), inference(spm,[status(thm)],[c_0_107, c_0_50])). 6.44/1.28 thf(c_0_110, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk13_1 @ spain)) @ spain)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_108, c_0_109])). 6.44/1.28 thf(c_0_111, negated_conjecture, (c @ (esk1_1 @ (esk13_1 @ spain)) @ spain), inference(spm,[status(thm)],[c_0_110, c_0_75])). 6.44/1.28 thf(c_0_112, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk2_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain))|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_79, c_0_111])). 6.44/1.28 thf(c_0_113, negated_conjecture, (c @ (esk2_1 @ (esk13_1 @ spain)) @ (esk13_1 @ spain)), inference(spm,[status(thm)],[c_0_112, c_0_75])). 6.44/1.28 thf(c_0_114, negated_conjecture, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|(c @ X18 @ france)|~((c @ X18 @ (esk14_1 @ spain)))|~((a @ X3 @ X14)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_113]), c_0_66])])). 6.44/1.28 thf(c_0_115, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk2_1 @ (esk14_1 @ spain)) @ france)|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_114, c_0_61])). 6.44/1.28 thf(c_0_116, negated_conjecture, ((c @ (esk1_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|(c @ (esk2_1 @ (esk14_1 @ spain)) @ france)), inference(spm,[status(thm)],[c_0_115, c_0_50])). 6.44/1.28 thf(c_0_117, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_70, c_0_116])). 6.44/1.28 thf(c_0_118, negated_conjecture, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|(c @ X18 @ spain)|~((c @ X18 @ (esk14_1 @ spain)))|~((a @ X3 @ X14)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_113]), c_0_66])])). 6.44/1.28 thf(c_0_119, negated_conjecture, ((c @ (esk1_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)), inference(spm,[status(thm)],[c_0_117, c_0_75])). 6.44/1.28 thf(c_0_120, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk1_1 @ (esk14_1 @ spain)) @ spain)|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_118, c_0_119])). 6.44/1.28 thf(c_0_121, negated_conjecture, ((c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|(c @ (esk1_1 @ (esk14_1 @ spain)) @ spain)), inference(spm,[status(thm)],[c_0_120, c_0_50])). 6.44/1.28 thf(c_0_122, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk2_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_79, c_0_121])). 6.44/1.28 thf(c_0_123, negated_conjecture, ((c @ (esk2_1 @ (esk14_1 @ spain)) @ (esk14_1 @ spain))|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)), inference(spm,[status(thm)],[c_0_122, c_0_75])). 6.44/1.28 thf(c_0_124, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk2_1 @ (esk14_1 @ spain)) @ france)|(c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_114, c_0_123])). 6.44/1.28 thf(c_0_125, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|~((c @ (esk2_1 @ (esk14_1 @ spain)) @ france))|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_83, c_0_121])). 6.44/1.28 thf(c_0_126, negated_conjecture, ((c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|(c @ (esk2_1 @ (esk14_1 @ spain)) @ france)), inference(spm,[status(thm)],[c_0_124, c_0_50])). 6.44/1.28 thf(c_0_127, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk2_1 @ (esk13_1 @ spain)) @ paris)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_125, c_0_126])). 6.44/1.28 thf(c_0_128, negated_conjecture, (c @ (esk2_1 @ (esk13_1 @ spain)) @ paris), inference(spm,[status(thm)],[c_0_127, c_0_75])). 6.44/1.28 thf(c_0_129, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk2_1 @ (esk13_1 @ spain)) @ france)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_55, c_0_128])). 6.44/1.28 thf(c_0_130, negated_conjecture, ![X3:$i, X4:$i > $o]:(((fool @ esk4_0 @ (esk3_2 @ esk4_0 @ (a @ X3)))|(fool @ X3 @ (esk3_2 @ X3 @ X4))|(X4 @ esk5_0))), inference(spm,[status(thm)],[c_0_49, c_0_57])). 6.44/1.28 thf(c_0_131, negated_conjecture, ![X3:$i, X14:$i]:((~((c @ (esk2_1 @ (esk13_1 @ spain)) @ france))|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_83, c_0_111])). 6.44/1.28 thf(c_0_132, negated_conjecture, (c @ (esk2_1 @ (esk13_1 @ spain)) @ france), inference(spm,[status(thm)],[c_0_129, c_0_50])). 6.44/1.28 thf(c_0_133, negated_conjecture, ![X3:$i]:(((fool @ esk4_0 @ (esk3_2 @ esk4_0 @ (a @ X3)))|(fool @ X3 @ esk5_0))), inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_72])])]), c_0_57])). 6.44/1.28 thf(c_0_134, negated_conjecture, ![X3:$i, X14:$i]:(~((fool @ X3 @ X14))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131, c_0_132])])). 6.44/1.28 thf(c_0_135, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_133, c_0_134]), c_0_134]), ['proof']). 6.44/1.28 # SZS output end CNFRefutation 6.44/1.28 # Parsed axioms : 96 6.44/1.28 # Removed by relevancy pruning/SinE : 0 6.44/1.28 # Initial clauses : 80 6.44/1.28 # Removed in clause preprocessing : 49 6.44/1.28 # Initial clauses in saturation : 31 6.44/1.28 # Processed clauses : 3425 6.44/1.28 # ...of these trivial : 5 6.44/1.28 # ...subsumed : 1011 6.44/1.28 # ...remaining for further processing : 2409 6.44/1.28 # Other redundant clauses eliminated : 5 6.44/1.28 # Clauses deleted for lack of memory : 0 6.44/1.28 # Backward-subsumed : 1038 6.44/1.28 # Backward-rewritten : 364 6.44/1.28 # Generated clauses : 24277 6.44/1.28 # ...of the previous two non-redundant : 17527 6.44/1.28 # ...aggressively subsumed : 0 6.44/1.28 # Contextual simplify-reflections : 56 6.44/1.28 # Paramodulations : 24231 6.44/1.28 # Factorizations : 18 6.44/1.28 # NegExts : 5 6.44/1.28 # Equation resolutions : 6 6.44/1.28 # Disequality decompositions : 0 6.44/1.28 # Total rewrite steps : 12127 6.44/1.28 # ...of those cached : 12067 6.44/1.28 # Propositional unsat checks : 0 6.44/1.28 # Propositional check models : 0 6.44/1.28 # Propositional check unsatisfiable : 0 6.44/1.28 # Propositional clauses : 0 6.44/1.28 # Propositional clauses after purity: 0 6.44/1.28 # Propositional unsat core size : 0 6.44/1.28 # Propositional preprocessing time : 0.000 6.44/1.28 # Propositional encoding time : 0.000 6.44/1.28 # Propositional solver time : 0.000 6.44/1.28 # Success case prop preproc time : 0.000 6.44/1.28 # Success case prop encoding time : 0.000 6.44/1.28 # Success case prop solver time : 0.000 6.44/1.28 # Current number of processed clauses : 965 6.44/1.28 # Positive orientable unit clauses : 65 6.44/1.28 # Positive unorientable unit clauses: 0 6.44/1.28 # Negative unit clauses : 1 6.44/1.28 # Non-unit-clauses : 899 6.44/1.28 # Current number of unprocessed clauses: 12539 6.44/1.28 # ...number of literals in the above : 80176 6.44/1.28 # Current number of archived formulas : 0 6.44/1.28 # Current number of archived clauses : 1444 6.44/1.28 # Clause-clause subsumption calls (NU) : 508042 6.44/1.28 # Rec. Clause-clause subsumption calls : 55254 6.44/1.28 # Non-unit clause-clause subsumptions : 2089 6.44/1.28 # Unit Clause-clause subsumption calls : 12349 6.44/1.28 # Rewrite failures with RHS unbound : 0 6.44/1.28 # BW rewrite match attempts : 51 6.44/1.28 # BW rewrite match successes : 34 6.44/1.28 # Condensation attempts : 3425 6.44/1.28 # Condensation successes : 0 6.44/1.28 # Termbank termtop insertions : 760200 6.44/1.28 # Search garbage collected termcells : 1501 6.44/1.28 6.44/1.28 # ------------------------------------------------- 6.44/1.28 # User time : 0.755 s 6.44/1.28 # System time : 0.015 s 6.44/1.28 # Total time : 0.770 s 6.44/1.28 # Maximum resident set size: 2252 pages 6.44/1.28 6.44/1.28 # ------------------------------------------------- 6.44/1.28 # User time : 3.734 s 6.44/1.28 # System time : 0.080 s 6.44/1.28 # Total time : 3.814 s 6.44/1.28 # Maximum resident set size: 1824 pages 6.44/1.28 % E exiting 6.44/1.28 % E exiting 6.44/1.28 EOF