0.10/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.10/0.32 % Computer : n010.cluster.edu 0.10/0.32 % Model : x86_64 x86_64 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.32 % Memory : 8042.1875MB 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.32 % CPULimit : 1920 0.10/0.32 % WCLimit : 240 0.10/0.32 % DateTime : Wed Jul 30 05:00:19 EDT 2025 0.10/0.32 % CPUTime : 0.17/0.46 Running higher-order theorem proving 0.17/0.47 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.dZF6uAn6Bp/E---3.1_10165.p 0.17/0.51 # Version: 3.0.0-ho 0.17/0.51 # Preprocessing class: HSMSSMSSMLLNHSN. 0.17/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.51 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.17/0.51 # Starting post_as_ho3 with 240s (1) cores 0.17/0.51 # Starting new_ho_12 with 240s (1) cores 0.17/0.51 # Starting new_bool_2 with 240s (1) cores 0.17/0.51 # new_ho_10_cnf2 with pid 10243 completed with status 0 0.17/0.51 # Result found by new_ho_10_cnf2 0.17/0.51 # Preprocessing class: HSMSSMSSMLLNHSN. 0.17/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.51 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.17/0.51 # No SInE strategy applied 0.17/0.51 # Search class: HGHNF-FFMF21-SHSSMSBN 0.17/0.51 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.17/0.51 # Starting new_ho_9 with 649s (1) cores 0.17/0.51 # Starting new_ho_10_cnf2 with 121s (1) cores 0.17/0.51 # Starting pre_casc_8 with 109s (1) cores 0.17/0.51 # Starting post_as_ho2 with 109s (1) cores 0.17/0.51 # Starting post_as_ho1 with 109s (1) cores 0.17/0.51 # post_as_ho1 with pid 10252 completed with status 0 0.17/0.51 # Result found by post_as_ho1 0.17/0.51 # Preprocessing class: HSMSSMSSMLLNHSN. 0.17/0.51 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.17/0.51 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.17/0.51 # No SInE strategy applied 0.17/0.51 # Search class: HGHNF-FFMF21-SHSSMSBN 0.17/0.51 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.17/0.51 # Starting new_ho_9 with 649s (1) cores 0.17/0.51 # Starting new_ho_10_cnf2 with 121s (1) cores 0.17/0.51 # Starting pre_casc_8 with 109s (1) cores 0.17/0.51 # Starting post_as_ho2 with 109s (1) cores 0.17/0.51 # Starting post_as_ho1 with 109s (1) cores 0.17/0.51 # Preprocessing time : 0.002 s 0.17/0.51 # Presaturation interreduction done 0.17/0.51 0.17/0.51 # Proof found! 0.17/0.51 # SZS status Theorem 0.17/0.51 # SZS output start CNFRefutation 0.17/0.51 thf(decl_sort1, type, reg: $tType). 0.17/0.51 thf(decl_25, type, mnot: ($i > $o) > $i > $o). 0.17/0.51 thf(decl_26, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.51 thf(decl_28, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.17/0.51 thf(decl_33, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.17/0.51 thf(decl_38, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.17/0.51 thf(decl_50, type, mvalid: ($i > $o) > $o). 0.17/0.51 thf(decl_54, type, c: reg > reg > $o). 0.17/0.51 thf(decl_56, type, p: reg > reg > $o). 0.17/0.51 thf(decl_58, type, o: reg > reg > $o). 0.17/0.51 thf(decl_60, type, ec: reg > reg > $o). 0.17/0.51 thf(decl_61, type, pp: reg > reg > $o). 0.17/0.51 thf(decl_62, type, tpp: reg > reg > $o). 0.17/0.51 thf(decl_63, type, ntpp: reg > reg > $o). 0.17/0.51 thf(decl_64, type, catalunya: reg). 0.17/0.51 thf(decl_65, type, france: reg). 0.17/0.51 thf(decl_66, type, spain: reg). 0.17/0.51 thf(decl_67, type, paris: reg). 0.17/0.51 thf(decl_68, type, a: $i > $i > $o). 0.17/0.51 thf(decl_69, type, fool: $i > $i > $o). 0.17/0.51 thf(decl_70, type, esk1_2: $i > ($i > $o) > $i). 0.17/0.51 thf(decl_71, type, esk2_0: reg). 0.17/0.51 thf(decl_72, type, esk3_1: reg > reg). 0.17/0.51 thf(decl_73, type, esk4_1: reg > reg). 0.17/0.51 thf(decl_74, type, esk5_1: reg > reg). 0.17/0.51 thf(decl_75, type, esk6_1: reg > reg). 0.17/0.51 thf(decl_76, type, esk7_2: $i > ($i > $o) > $i). 0.17/0.51 thf(decl_77, type, esk8_0: reg). 0.17/0.51 thf(decl_78, type, esk9_0: reg). 0.17/0.51 thf(decl_79, type, esk10_1: reg > reg). 0.17/0.51 thf(decl_80, type, esk11_1: reg > reg). 0.17/0.51 thf(decl_81, type, esk12_1: reg > reg). 0.17/0.51 thf(decl_82, type, esk13_1: reg > reg). 0.17/0.51 thf(decl_83, type, esk14_0: $i). 0.17/0.51 thf(decl_84, type, esk15_0: $i). 0.17/0.51 thf(decl_85, type, esk16_0: reg). 0.17/0.51 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:(((p @ X22 @ X25)&(p @ X22 @ X26)))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', o)). 0.17/0.51 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:(((c @ X22 @ X20)=>(c @ X22 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', p)). 0.17/0.51 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', mimplies)). 0.17/0.51 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', mnot)). 0.17/0.51 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', mor)). 0.17/0.51 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:(((c @ X29 @ X30)&~((o @ X29 @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', ec)). 0.17/0.51 thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', mforall_prop)). 0.17/0.51 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', mbox)). 0.17/0.51 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', mvalid)). 0.17/0.51 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:(((p @ X31 @ X32)&~((p @ X32 @ X31)))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', pp)). 0.17/0.51 thf(t_axiom_for_fool, axiom, (mvalid @ (mforall_prop @ (^[X42:$i > $o]:(mimplies @ (mbox @ fool @ X42) @ X42)))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', t_axiom_for_fool)). 0.17/0.51 thf(ntpp, axiom, ((ntpp)=(^[X35:reg, X36:reg]:(((pp @ X35 @ X36)&~(?[X22:reg]:(((ec @ X22 @ X35)&(ec @ X22 @ X36)))))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', ntpp)). 0.17/0.51 thf(ax2, axiom, (mvalid @ (mbox @ fool @ (^[X41:$i]:((ec @ spain @ france))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', ax2)). 0.17/0.51 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X44:$i]:(![X22:reg]:(((p @ X22 @ catalunya)=>~((p @ X22 @ paris)))))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', con)). 0.17/0.51 thf(ax3, axiom, (mvalid @ (mbox @ a @ (^[X40:$i]:((ntpp @ paris @ france))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', ax3)). 0.17/0.51 thf(i_axiom_for_fool_a, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mbox @ fool @ X6) @ (mbox @ a @ X6))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', i_axiom_for_fool_a)). 0.17/0.51 thf(tpp, axiom, ((tpp)=(^[X33:reg, X34:reg]:(((pp @ X33 @ X34)&?[X22:reg]:(((ec @ X22 @ X33)&(ec @ X22 @ X34))))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', tpp)). 0.17/0.51 thf(ax1, axiom, (mvalid @ (mbox @ a @ (^[X43:$i]:((tpp @ catalunya @ spain))))), file('/export/starexec/sandbox/tmp/tmp.dZF6uAn6Bp/E---3.1_10165.p', ax1)). 0.17/0.51 thf(c_0_18, plain, ((o)=(^[Z0/* 19 */: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])). 0.17/0.51 thf(c_0_19, plain, ((p)=(^[Z0/* 19 */:reg, Z1:reg]:(![X22:reg]:(((c @ X22 @ Z0)=>(c @ X22 @ Z1)))))), inference(fof_simplification,[status(thm)],[p])). 0.17/0.51 thf(c_0_20, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.17/0.51 thf(c_0_21, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.17/0.51 thf(c_0_22, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.17/0.51 thf(c_0_23, plain, ((ec)=(^[Z0/* 19 */: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])). 0.17/0.51 thf(c_0_24, plain, ((o)=(^[Z0/* 19 */: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])). 0.17/0.51 thf(c_0_25, 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_20, c_0_21]), c_0_22])). 0.17/0.51 thf(c_0_26, plain, ((mforall_prop)=(^[Z0/* 19 */:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])). 0.17/0.51 thf(c_0_27, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.17/0.51 thf(c_0_28, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.17/0.51 thf(c_0_29, plain, ((pp)=(^[Z0/* 19 */: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])). 0.17/0.51 thf(c_0_30, plain, ((ec)=(^[Z0/* 19 */: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_23, c_0_24])). 0.17/0.51 thf(c_0_31, plain, ![X103:$i, X102:$i > $o]:((~(![X101:$i]:((~(fool @ X103 @ X101)|(X102 @ X101))))|(X102 @ X103))), 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_25]), c_0_26]), c_0_27]), c_0_28])])). 0.17/0.51 thf(c_0_32, plain, ((ntpp)=(^[Z0/* 19 */: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])). 0.17/0.51 thf(c_0_33, plain, ((pp)=(^[Z0/* 19 */: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_29, c_0_19])). 0.17/0.51 thf(c_0_34, plain, ![X100:$i, X99:$i]:((~(fool @ X100 @ X99)|((c @ spain @ france)&~(?[X96:reg]:((![X97:reg]:(((c @ X97 @ X96)=>(c @ X97 @ spain)))&![X98:reg]:(((c @ X98 @ X96)=>(c @ X98 @ 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_27]), c_0_28]), c_0_30])])). 0.17/0.51 thf(c_0_35, plain, ![X147:$i, X148:$i > $o]:((((fool @ X147 @ (esk7_2 @ X147 @ X148))|(X148 @ X147))&(~(X148 @ (esk7_2 @ X147 @ X148))|(X148 @ X147)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])])). 0.17/0.51 thf(c_0_36, plain, ((ntpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X73:reg]:(((c @ X73 @ Z0)=>(c @ X73 @ Z1))))&~((![X74:reg]:(((c @ X74 @ Z1)=>(c @ X74 @ Z0)))))))&~(?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X75:reg]:(((![X76:reg]:(((c @ X76 @ X75)=>(c @ X76 @ X22))))&(![X77:reg]:(((c @ X77 @ X75)=>(c @ X77 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X78:reg]:(((![X79:reg]:(((c @ X79 @ X78)=>(c @ X79 @ X22))))&(![X80:reg]:(((c @ X80 @ X78)=>(c @ X80 @ Z1))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_32, c_0_30]), c_0_33])). 0.17/0.51 thf(c_0_37, negated_conjecture, ~(![X118:$i, X117:$i]:((~(a @ X118 @ X117)|![X22:reg]:((![X115:reg]:(((c @ X115 @ X22)=>(c @ X115 @ catalunya)))=>~(![X116:reg]:(((c @ X116 @ X22)=>(c @ X116 @ paris))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]), c_0_27]), c_0_28]), c_0_19])])). 0.17/0.51 thf(c_0_38, plain, ![X142:$i, X143:$i, X144:reg]:((((c @ spain @ france)|~(fool @ X142 @ X143))&((((c @ (esk6_1 @ X144) @ X144)|(c @ (esk5_1 @ X144) @ X144)|~(fool @ X142 @ X143))&(~(c @ (esk6_1 @ X144) @ france)|(c @ (esk5_1 @ X144) @ X144)|~(fool @ X142 @ X143)))&(((c @ (esk6_1 @ X144) @ X144)|~(c @ (esk5_1 @ X144) @ spain)|~(fool @ X142 @ X143))&(~(c @ (esk6_1 @ X144) @ france)|~(c @ (esk5_1 @ X144) @ spain)|~(fool @ X142 @ X143)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])])])])). 0.17/0.51 thf(c_0_39, plain, ![X3:$i, X4:$i > $o]:(((X4 @ X3)|~((X4 @ (esk7_2 @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_35])). 0.17/0.51 thf(c_0_40, plain, ![X4:$i > $o, X3:$i]:(((fool @ X3 @ (esk7_2 @ X3 @ X4))|(X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_35])). 0.17/0.51 thf(c_0_41, plain, ![X95:$i, X94:$i]:((~(a @ X95 @ X94)|((![X85:reg]:(((c @ X85 @ paris)=>(c @ X85 @ france)))&~(![X86:reg]:(((c @ X86 @ france)=>(c @ X86 @ paris)))))&~(?[X87:reg]:((((c @ X87 @ paris)&~(?[X88:reg]:((![X89:reg]:(((c @ X89 @ X88)=>(c @ X89 @ X87)))&![X90:reg]:(((c @ X90 @ X88)=>(c @ X90 @ paris)))))))&((c @ X87 @ france)&~(?[X91:reg]:((![X92:reg]:(((c @ X92 @ X91)=>(c @ X92 @ X87)))&![X93:reg]:(((c @ X93 @ X91)=>(c @ X93 @ 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_27]), c_0_28]), c_0_36])])). 0.17/0.51 thf(c_0_42, negated_conjecture, ![X164:reg, X165:reg]:(((a @ esk14_0 @ esk15_0)&((~(c @ X164 @ esk16_0)|(c @ X164 @ catalunya))&(~(c @ X165 @ esk16_0)|(c @ X165 @ paris))))), 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])])])])])). 0.17/0.51 thf(c_0_43, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk6_1 @ X18) @ X18)|(c @ (esk5_1 @ X18) @ X18)|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.51 thf(c_0_44, plain, ![X3:$i]:((fool @ X3 @ X3)), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.17/0.51 thf(c_0_45, plain, ![X84:$i, X83:$i > $o]:((~(![X81:$i]:((~(fool @ X84 @ X81)|(X83 @ X81))))|![X82:$i]:((~(a @ X84 @ X82)|(X83 @ X82))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[i_axiom_for_fool_a]), c_0_25]), c_0_26]), c_0_27]), c_0_28])])). 0.17/0.51 thf(c_0_46, plain, ![X131:$i, X132:$i, X133:reg, X135:reg, X137:reg, X138:reg, X140:reg, X141:reg]:((((~(c @ X133 @ paris)|(c @ X133 @ france)|~(a @ X131 @ X132))&(((c @ esk2_0 @ france)|~(a @ X131 @ X132))&(~(c @ esk2_0 @ paris)|~(a @ X131 @ X132))))&(((~(c @ X140 @ (esk4_1 @ X135))|(c @ X140 @ X135)|~(c @ X135 @ france)|(~(c @ X137 @ (esk3_1 @ X135))|(c @ X137 @ X135)|~(c @ X135 @ paris))|~(a @ X131 @ X132))&(~(c @ X141 @ (esk4_1 @ X135))|(c @ X141 @ france)|~(c @ X135 @ france)|(~(c @ X137 @ (esk3_1 @ X135))|(c @ X137 @ X135)|~(c @ X135 @ paris))|~(a @ X131 @ X132)))&((~(c @ X140 @ (esk4_1 @ X135))|(c @ X140 @ X135)|~(c @ X135 @ france)|(~(c @ X138 @ (esk3_1 @ X135))|(c @ X138 @ paris)|~(c @ X135 @ paris))|~(a @ X131 @ X132))&(~(c @ X141 @ (esk4_1 @ X135))|(c @ X141 @ france)|~(c @ X135 @ france)|(~(c @ X138 @ (esk3_1 @ X135))|(c @ X138 @ paris)|~(c @ X135 @ paris))|~(a @ X131 @ X132)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])])])])). 0.17/0.51 thf(c_0_47, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|~((c @ X18 @ esk16_0)))), inference(split_conjunct,[status(thm)],[c_0_42])). 0.17/0.51 thf(c_0_48, plain, ![X18:reg]:(((c @ (esk6_1 @ X18) @ X18)|(c @ (esk5_1 @ X18) @ X18))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 0.17/0.51 thf(c_0_49, plain, ![X127:$i, X128:$i > $o, X130:$i]:((((fool @ X127 @ (esk1_2 @ X127 @ X128))|(~(a @ X127 @ X130)|(X128 @ X130)))&(~(X128 @ (esk1_2 @ X127 @ X128))|(~(a @ X127 @ X130)|(X128 @ X130))))), 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_45])])])])])])). 0.17/0.51 thf(c_0_50, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.17/0.51 thf(c_0_51, negated_conjecture, ((c @ (esk5_1 @ esk16_0) @ esk16_0)|(c @ (esk6_1 @ esk16_0) @ paris)), inference(spm,[status(thm)],[c_0_47, c_0_48])). 0.17/0.51 thf(c_0_52, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((fool @ X3 @ (esk1_2 @ X3 @ X4))|(X4 @ X14)|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_49])). 0.17/0.51 thf(c_0_53, negated_conjecture, (a @ esk14_0 @ esk15_0), inference(split_conjunct,[status(thm)],[c_0_42])). 0.17/0.51 thf(c_0_54, plain, ((tpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X65:reg]:(((c @ X65 @ Z0)=>(c @ X65 @ Z1))))&~((![X66:reg]:(((c @ X66 @ Z1)=>(c @ X66 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X67:reg]:(((![X68:reg]:(((c @ X68 @ X67)=>(c @ X68 @ X22))))&(![X69:reg]:(((c @ X69 @ X67)=>(c @ X69 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X70:reg]:(((![X71:reg]:(((c @ X71 @ X70)=>(c @ X71 @ X22))))&(![X72:reg]:(((c @ X72 @ X70)=>(c @ X72 @ Z1)))))))))))))))), inference(fof_simplification,[status(thm)],[tpp])). 0.17/0.51 thf(c_0_55, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk5_1 @ esk16_0) @ esk16_0)|(c @ (esk6_1 @ esk16_0) @ france)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_50, c_0_51])). 0.17/0.51 thf(c_0_56, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((X4 @ X14)|~((X4 @ (esk1_2 @ X3 @ X4)))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_49])). 0.17/0.51 thf(c_0_57, negated_conjecture, ![X4:$i > $o]:(((fool @ esk14_0 @ (esk1_2 @ esk14_0 @ X4))|(X4 @ esk15_0))), inference(spm,[status(thm)],[c_0_52, c_0_53])). 0.17/0.51 thf(c_0_58, plain, ((tpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X65:reg]:(((c @ X65 @ Z0)=>(c @ X65 @ Z1))))&~((![X66:reg]:(((c @ X66 @ Z1)=>(c @ X66 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X67:reg]:(((![X68:reg]:(((c @ X68 @ X67)=>(c @ X68 @ X22))))&(![X69:reg]:(((c @ X69 @ X67)=>(c @ X69 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X70:reg]:(((![X71:reg]:(((c @ X71 @ X70)=>(c @ X71 @ X22))))&(![X72:reg]:(((c @ X72 @ X70)=>(c @ X72 @ Z1)))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_54, c_0_30]), c_0_33])). 0.17/0.51 thf(c_0_59, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk5_1 @ X18) @ X18)|~((c @ (esk6_1 @ X18) @ france))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.51 thf(c_0_60, negated_conjecture, ((c @ (esk6_1 @ esk16_0) @ france)|(c @ (esk5_1 @ esk16_0) @ esk16_0)), inference(spm,[status(thm)],[c_0_55, c_0_53])). 0.17/0.51 thf(c_0_61, negated_conjecture, ![X3:$i]:(((fool @ esk14_0 @ esk15_0)|(fool @ esk14_0 @ X3)|~((a @ esk14_0 @ X3)))), inference(spm,[status(thm)],[c_0_56, c_0_57])). 0.17/0.51 thf(c_0_62, plain, ![X114:$i, X113:$i]:((~(a @ X114 @ X113)|((![X104:reg]:(((c @ X104 @ catalunya)=>(c @ X104 @ spain)))&~(![X105:reg]:(((c @ X105 @ spain)=>(c @ X105 @ catalunya)))))&?[X106:reg]:((((c @ X106 @ catalunya)&~(?[X107:reg]:((![X108:reg]:(((c @ X108 @ X107)=>(c @ X108 @ X106)))&![X109:reg]:(((c @ X109 @ X107)=>(c @ X109 @ catalunya)))))))&((c @ X106 @ spain)&~(?[X110:reg]:((![X111:reg]:(((c @ X111 @ X110)=>(c @ X111 @ X106)))&![X112:reg]:(((c @ X112 @ X110)=>(c @ X112 @ 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_27]), c_0_28]), c_0_58])])). 0.17/0.51 thf(c_0_63, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk5_1 @ esk16_0) @ esk16_0)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_59, c_0_60])). 0.17/0.51 thf(c_0_64, negated_conjecture, (fool @ esk14_0 @ esk15_0), inference(spm,[status(thm)],[c_0_61, c_0_53])). 0.17/0.51 thf(c_0_65, plain, ![X150:$i, X151:$i, X152:reg, X155:reg, X158:reg]:((((~(c @ X152 @ catalunya)|(c @ X152 @ spain)|~(a @ X150 @ X151))&(((c @ esk8_0 @ spain)|~(a @ X150 @ X151))&(~(c @ esk8_0 @ catalunya)|~(a @ X150 @ X151))))&((((c @ esk9_0 @ catalunya)|~(a @ X150 @ X151))&((((c @ (esk11_1 @ X155) @ X155)|(c @ (esk10_1 @ X155) @ X155)|~(a @ X150 @ X151))&(~(c @ (esk11_1 @ X155) @ catalunya)|(c @ (esk10_1 @ X155) @ X155)|~(a @ X150 @ X151)))&(((c @ (esk11_1 @ X155) @ X155)|~(c @ (esk10_1 @ X155) @ esk9_0)|~(a @ X150 @ X151))&(~(c @ (esk11_1 @ X155) @ catalunya)|~(c @ (esk10_1 @ X155) @ esk9_0)|~(a @ X150 @ X151)))))&(((c @ esk9_0 @ spain)|~(a @ X150 @ X151))&((((c @ (esk13_1 @ X158) @ X158)|(c @ (esk12_1 @ X158) @ X158)|~(a @ X150 @ X151))&(~(c @ (esk13_1 @ X158) @ spain)|(c @ (esk12_1 @ X158) @ X158)|~(a @ X150 @ X151)))&(((c @ (esk13_1 @ X158) @ X158)|~(c @ (esk12_1 @ X158) @ esk9_0)|~(a @ X150 @ X151))&(~(c @ (esk13_1 @ X158) @ spain)|~(c @ (esk12_1 @ X158) @ esk9_0)|~(a @ X150 @ X151)))))))), 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_62])])])])])])])). 0.17/0.51 thf(c_0_66, negated_conjecture, ![X18:reg]:(((c @ X18 @ catalunya)|~((c @ X18 @ esk16_0)))), inference(split_conjunct,[status(thm)],[c_0_42])). 0.17/0.51 thf(c_0_67, negated_conjecture, (c @ (esk5_1 @ esk16_0) @ esk16_0), inference(spm,[status(thm)],[c_0_63, c_0_64])). 0.17/0.51 thf(c_0_68, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_65])). 0.17/0.51 thf(c_0_69, negated_conjecture, (c @ (esk5_1 @ esk16_0) @ catalunya), inference(spm,[status(thm)],[c_0_66, c_0_67])). 0.17/0.51 thf(c_0_70, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk5_1 @ esk16_0) @ spain)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_68, c_0_69])). 0.17/0.51 thf(c_0_71, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk6_1 @ X18) @ X18)|~((c @ (esk5_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.51 thf(c_0_72, negated_conjecture, (c @ (esk5_1 @ esk16_0) @ spain), inference(spm,[status(thm)],[c_0_70, c_0_53])). 0.17/0.51 thf(c_0_73, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk6_1 @ esk16_0) @ esk16_0)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_71, c_0_72])). 0.17/0.51 thf(c_0_74, negated_conjecture, (c @ (esk6_1 @ esk16_0) @ esk16_0), inference(spm,[status(thm)],[c_0_73, c_0_64])). 0.17/0.51 thf(c_0_75, negated_conjecture, (c @ (esk6_1 @ esk16_0) @ paris), inference(spm,[status(thm)],[c_0_47, c_0_74])). 0.17/0.51 thf(c_0_76, plain, ![X18:reg, X3:$i, X14:$i]:((~((c @ (esk6_1 @ X18) @ france))|~((c @ (esk5_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.17/0.51 thf(c_0_77, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk6_1 @ esk16_0) @ france)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_50, c_0_75])). 0.17/0.51 thf(c_0_78, negated_conjecture, ![X3:$i, X14:$i]:((~((c @ (esk6_1 @ esk16_0) @ france))|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_76, c_0_72])). 0.17/0.51 thf(c_0_79, negated_conjecture, (c @ (esk6_1 @ esk16_0) @ france), inference(spm,[status(thm)],[c_0_77, c_0_53])). 0.17/0.51 thf(c_0_80, negated_conjecture, ![X3:$i, X14:$i]:(~((fool @ X3 @ X14))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78, c_0_79])])). 0.17/0.51 thf(c_0_81, plain, ($false), inference(sr,[status(thm)],[c_0_44, c_0_80]), ['proof']). 0.17/0.51 # SZS output end CNFRefutation 0.17/0.51 # Parsed axioms : 98 0.17/0.51 # Removed by relevancy pruning/SinE : 0 0.17/0.51 # Initial clauses : 85 0.17/0.51 # Removed in clause preprocessing : 49 0.17/0.51 # Initial clauses in saturation : 36 0.17/0.51 # Processed clauses : 376 0.17/0.51 # ...of these trivial : 10 0.17/0.51 # ...subsumed : 41 0.17/0.51 # ...remaining for further processing : 325 0.17/0.51 # Other redundant clauses eliminated : 0 0.17/0.51 # Clauses deleted for lack of memory : 0 0.17/0.51 # Backward-subsumed : 63 0.17/0.51 # Backward-rewritten : 66 0.17/0.51 # Generated clauses : 746 0.17/0.51 # ...of the previous two non-redundant : 682 0.17/0.51 # ...aggressively subsumed : 0 0.17/0.51 # Contextual simplify-reflections : 10 0.17/0.51 # Paramodulations : 734 0.17/0.51 # Factorizations : 2 0.17/0.51 # NegExts : 0 0.17/0.51 # Equation resolutions : 0 0.17/0.51 # Disequality decompositions : 0 0.17/0.51 # Total rewrite steps : 142 0.17/0.51 # ...of those cached : 68 0.17/0.51 # Propositional unsat checks : 0 0.17/0.51 # Propositional check models : 0 0.17/0.51 # Propositional check unsatisfiable : 0 0.17/0.51 # Propositional clauses : 0 0.17/0.51 # Propositional clauses after purity: 0 0.17/0.51 # Propositional unsat core size : 0 0.17/0.51 # Propositional preprocessing time : 0.000 0.17/0.51 # Propositional encoding time : 0.000 0.17/0.51 # Propositional solver time : 0.000 0.17/0.51 # Success case prop preproc time : 0.000 0.17/0.51 # Success case prop encoding time : 0.000 0.17/0.51 # Success case prop solver time : 0.000 0.17/0.51 # Current number of processed clauses : 150 0.17/0.51 # Positive orientable unit clauses : 90 0.17/0.51 # Positive unorientable unit clauses: 0 0.17/0.51 # Negative unit clauses : 3 0.17/0.51 # Non-unit-clauses : 57 0.17/0.51 # Current number of unprocessed clauses: 305 0.17/0.51 # ...number of literals in the above : 1398 0.17/0.51 # Current number of archived formulas : 0 0.17/0.51 # Current number of archived clauses : 175 0.17/0.51 # Clause-clause subsumption calls (NU) : 7074 0.17/0.51 # Rec. Clause-clause subsumption calls : 4324 0.17/0.51 # Non-unit clause-clause subsumptions : 67 0.17/0.51 # Unit Clause-clause subsumption calls : 1093 0.17/0.51 # Rewrite failures with RHS unbound : 0 0.17/0.51 # BW rewrite match attempts : 61 0.17/0.51 # BW rewrite match successes : 46 0.17/0.51 # Condensation attempts : 0 0.17/0.51 # Condensation successes : 0 0.17/0.51 # Termbank termtop insertions : 17574 0.17/0.51 # Search garbage collected termcells : 1941 0.17/0.51 0.17/0.51 # ------------------------------------------------- 0.17/0.51 # User time : 0.024 s 0.17/0.51 # System time : 0.005 s 0.17/0.51 # Total time : 0.029 s 0.17/0.51 # Maximum resident set size: 2308 pages 0.17/0.51 0.17/0.51 # ------------------------------------------------- 0.17/0.51 # User time : 0.116 s 0.17/0.51 # System time : 0.019 s 0.17/0.51 # Total time : 0.136 s 0.17/0.51 # Maximum resident set size: 1828 pages 0.17/0.51 % E exiting 0.17/0.51 % E exiting 0.17/0.51 EOF