0.13/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.13 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.13/0.35 % Computer : n024.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 1920 0.13/0.35 % WCLimit : 240 0.13/0.35 % DateTime : Wed Jul 30 02:03:19 EDT 2025 0.13/0.35 % CPUTime : 0.21/0.49 Running higher-order theorem proving 0.21/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p 0.21/0.55 # Version: 3.0.0-ho 0.21/0.55 # Preprocessing class: HSMSSMSSMLLNHSN. 0.21/0.55 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.21/0.55 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.21/0.55 # Starting post_as_ho3 with 240s (1) cores 0.21/0.55 # Starting new_ho_12 with 240s (1) cores 0.21/0.55 # Starting new_bool_2 with 240s (1) cores 0.21/0.55 # new_bool_2 with pid 24543 completed with status 0 0.21/0.55 # Result found by new_bool_2 0.21/0.55 # Preprocessing class: HSMSSMSSMLLNHSN. 0.21/0.55 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.21/0.55 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.21/0.55 # Starting post_as_ho3 with 240s (1) cores 0.21/0.55 # Starting new_ho_12 with 240s (1) cores 0.21/0.55 # Starting new_bool_2 with 240s (1) cores 0.21/0.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.21/0.55 # Search class: HGHNF-FFMF21-SHSSMSBN 0.21/0.55 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.21/0.55 # Starting new_ho_9 with 130s (1) cores 0.21/0.55 # new_ho_9 with pid 24544 completed with status 0 0.21/0.55 # Result found by new_ho_9 0.21/0.55 # Preprocessing class: HSMSSMSSMLLNHSN. 0.21/0.55 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.21/0.55 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.21/0.55 # Starting post_as_ho3 with 240s (1) cores 0.21/0.55 # Starting new_ho_12 with 240s (1) cores 0.21/0.55 # Starting new_bool_2 with 240s (1) cores 0.21/0.55 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.21/0.55 # Search class: HGHNF-FFMF21-SHSSMSBN 0.21/0.55 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.21/0.55 # Starting new_ho_9 with 130s (1) cores 0.21/0.55 # Preprocessing time : 0.004 s 0.21/0.55 # Presaturation interreduction done 0.21/0.55 0.21/0.55 # Proof found! 0.21/0.55 # SZS status Theorem 0.21/0.55 # SZS output start CNFRefutation 0.21/0.55 thf(decl_sort1, type, reg: $tType). 0.21/0.55 thf(decl_25, type, mnot: ($i > $o) > $i > $o). 0.21/0.55 thf(decl_26, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.55 thf(decl_28, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.21/0.55 thf(decl_33, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.21/0.55 thf(decl_38, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.21/0.55 thf(decl_50, type, mvalid: ($i > $o) > $o). 0.21/0.55 thf(decl_54, type, c: reg > reg > $o). 0.21/0.55 thf(decl_56, type, p: reg > reg > $o). 0.21/0.55 thf(decl_57, type, eq: reg > reg > $o). 0.21/0.55 thf(decl_58, type, o: reg > reg > $o). 0.21/0.55 thf(decl_60, type, ec: reg > reg > $o). 0.21/0.55 thf(decl_61, type, pp: reg > reg > $o). 0.21/0.55 thf(decl_63, type, ntpp: reg > reg > $o). 0.21/0.55 thf(decl_65, type, france: reg). 0.21/0.55 thf(decl_66, type, spain: reg). 0.21/0.55 thf(decl_67, type, paris: reg). 0.21/0.55 thf(decl_68, type, a: $i > $i > $o). 0.21/0.55 thf(decl_69, type, fool: $i > $i > $o). 0.21/0.55 thf(decl_70, type, esk1_0: $i). 0.21/0.55 thf(decl_71, type, esk2_0: $i). 0.21/0.55 thf(decl_72, type, esk3_1: reg > reg). 0.21/0.55 thf(decl_73, type, esk4_0: reg). 0.21/0.55 thf(decl_74, type, esk5_1: reg > reg). 0.21/0.55 thf(decl_75, type, esk6_1: reg > reg). 0.21/0.55 thf(decl_76, type, esk7_1: reg > reg). 0.21/0.55 thf(decl_77, type, esk8_1: reg > reg). 0.21/0.55 thf(decl_79, type, esk10_2: $i > ($i > $o) > $i). 0.21/0.55 thf(decl_81, type, epred1_0: $o). 0.21/0.55 thf(decl_82, type, epred2_0: $o). 0.21/0.55 thf(decl_83, type, epred3_0: $o). 0.21/0.55 thf(decl_84, type, epred4_0: $o). 0.21/0.55 thf(decl_89, type, epred9_0: $o). 0.21/0.55 thf(decl_90, type, epred10_0: $o). 0.21/0.55 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:(((p @ X22 @ X25)&(p @ X22 @ X26)))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', o)). 0.21/0.55 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:(((c @ X22 @ X20)=>(c @ X22 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', p)). 0.21/0.55 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:(((p @ X31 @ X32)&~((p @ X32 @ X31)))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', pp)). 0.21/0.55 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:(((c @ X29 @ X30)&~((o @ X29 @ X30)))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', ec)). 0.21/0.55 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', mimplies)). 0.21/0.55 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', mnot)). 0.21/0.55 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', mor)). 0.21/0.55 thf(ntpp, axiom, ((ntpp)=(^[X35:reg, X36:reg]:(((pp @ X35 @ X36)&~(?[X22:reg]:(((ec @ X22 @ X35)&(ec @ X22 @ X36)))))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', ntpp)). 0.21/0.55 thf(eq, axiom, ((eq)=(^[X23:reg, X24:reg]:(((p @ X23 @ X24)&(p @ X24 @ X23))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', eq)). 0.21/0.55 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', mvalid)). 0.21/0.55 thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', mforall_prop)). 0.21/0.55 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', mbox)). 0.21/0.55 thf(t_axiom_for_fool, axiom, (mvalid @ (mforall_prop @ (^[X41:$i > $o]:(mimplies @ (mbox @ fool @ X41) @ X41)))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', t_axiom_for_fool)). 0.21/0.55 thf(ax3, axiom, (mvalid @ (mbox @ a @ (^[X44:$i]:((ntpp @ paris @ france))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', ax3)). 0.21/0.55 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X43:$i]:(?[X22:reg]:((~((eq @ X22 @ spain))&~((o @ X22 @ paris)))))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', con)). 0.21/0.55 thf(ax2, axiom, (mvalid @ (mbox @ fool @ (^[X42:$i]:((ec @ spain @ france))))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', ax2)). 0.21/0.55 thf(c_symmetric, axiom, ![X38:reg, X39:reg]:(((c @ X39 @ X38)<=(c @ X38 @ X39))), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', c_symmetric)). 0.21/0.55 thf(c_reflexive, axiom, ![X37:reg]:((c @ X37 @ X37)), file('/export/starexec/sandbox2/tmp/tmp.YNOO5EenuJ/E---3.1_24456.p', c_reflexive)). 0.21/0.55 thf(c_0_18, plain, ((o)=(^[Z0/* 19 */:reg, Z1:reg]:(?[X22:reg]:(((![X50:reg]:(((c @ X50 @ X22)=>(c @ X50 @ Z0))))&(![X51:reg]:(((c @ X51 @ X22)=>(c @ X51 @ Z1))))))))), inference(fof_simplification,[status(thm)],[o])). 0.21/0.55 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])). 0.21/0.55 thf(c_0_20, plain, ((pp)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X55:reg]:(((c @ X55 @ Z0)=>(c @ X55 @ Z1))))&~((![X56:reg]:(((c @ X56 @ Z1)=>(c @ X56 @ Z0))))))))), inference(fof_simplification,[status(thm)],[pp])). 0.21/0.55 thf(c_0_21, plain, ((ec)=(^[Z0/* 19 */:reg, Z1:reg]:(((c @ Z0 @ Z1)&~((?[X52:reg]:(((![X53:reg]:(((c @ X53 @ X52)=>(c @ X53 @ Z0))))&(![X54:reg]:(((c @ X54 @ X52)=>(c @ X54 @ Z1)))))))))))), inference(fof_simplification,[status(thm)],[ec])). 0.21/0.55 thf(c_0_22, plain, ((o)=(^[Z0/* 19 */:reg, Z1:reg]:(?[X22:reg]:(((![X50:reg]:(((c @ X50 @ X22)=>(c @ X50 @ Z0))))&(![X51:reg]:(((c @ X51 @ X22)=>(c @ X51 @ Z1))))))))), inference(apply_def,[status(thm)],[c_0_18, c_0_19])). 0.21/0.55 thf(c_0_23, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.21/0.55 thf(c_0_24, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.21/0.55 thf(c_0_25, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.21/0.55 thf(c_0_26, plain, ((ntpp)=(^[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)],[ntpp])). 0.21/0.55 thf(c_0_27, plain, ((pp)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X55:reg]:(((c @ X55 @ Z0)=>(c @ X55 @ Z1))))&~((![X56:reg]:(((c @ X56 @ Z1)=>(c @ X56 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_20, c_0_19])). 0.21/0.55 thf(c_0_28, plain, ((ec)=(^[Z0/* 19 */:reg, Z1:reg]:(((c @ Z0 @ Z1)&~((?[X52:reg]:(((![X53:reg]:(((c @ X53 @ X52)=>(c @ X53 @ Z0))))&(![X54:reg]:(((c @ X54 @ X52)=>(c @ X54 @ Z1)))))))))))), inference(apply_def,[status(thm)],[c_0_21, c_0_22])). 0.21/0.55 thf(c_0_29, plain, ((eq)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X48:reg]:(((c @ X48 @ Z0)=>(c @ X48 @ Z1))))&(![X49:reg]:(((c @ X49 @ Z1)=>(c @ X49 @ Z0)))))))), inference(fof_simplification,[status(thm)],[eq])). 0.21/0.55 thf(c_0_30, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.21/0.55 thf(c_0_31, 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_23, c_0_24]), c_0_25])). 0.21/0.55 thf(c_0_32, plain, ((mforall_prop)=(^[Z0/* 19 */:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])). 0.21/0.55 thf(c_0_33, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.21/0.55 thf(c_0_34, plain, ((ntpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X65:reg]:(((c @ X65 @ Z0)=>(c @ X65 @ Z1))))&~((![X66:reg]:(((c @ X66 @ Z1)=>(c @ X66 @ Z0)))))))&~(?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X67:reg]:(((![X68:reg]:(((c @ X68 @ X67)=>(c @ X68 @ X22))))&(![X69:reg]:(((c @ X69 @ X67)=>(c @ X69 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X70:reg]:(((![X71:reg]:(((c @ X71 @ X70)=>(c @ X71 @ X22))))&(![X72:reg]:(((c @ X72 @ X70)=>(c @ X72 @ Z1))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_26, c_0_27]), c_0_28])). 0.21/0.55 thf(c_0_35, plain, ((eq)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X48:reg]:(((c @ X48 @ Z0)=>(c @ X48 @ Z1))))&(![X49:reg]:(((c @ X49 @ Z1)=>(c @ X49 @ Z0)))))))), inference(apply_def,[status(thm)],[c_0_29, c_0_19])). 0.21/0.55 thf(c_0_36, plain, ![X102:$i, X101:$i > $o]:((~(![X100:$i]:((~(fool @ X102 @ X100)|(X101 @ X100))))|(X101 @ X102))), 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_30]), c_0_31]), c_0_32]), c_0_33])])). 0.21/0.55 thf(c_0_37, plain, ![X90:$i, X89:$i]:((~(a @ X90 @ X89)|((![X80:reg]:(((c @ X80 @ paris)=>(c @ X80 @ france)))&~(![X81:reg]:(((c @ X81 @ france)=>(c @ X81 @ paris)))))&~(?[X82:reg]:((((c @ X82 @ paris)&~(?[X83:reg]:((![X84:reg]:(((c @ X84 @ X83)=>(c @ X84 @ X82)))&![X85:reg]:(((c @ X85 @ X83)=>(c @ X85 @ paris)))))))&((c @ X82 @ france)&~(?[X86:reg]:((![X87:reg]:(((c @ X87 @ X86)=>(c @ X87 @ X82)))&![X88:reg]:(((c @ X88 @ X86)=>(c @ X88 @ 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_34]), c_0_33])])). 0.21/0.55 thf(c_0_38, negated_conjecture, ~(![X79:$i, X78:$i]:((~(a @ X79 @ X78)|?[X22:reg]:((~((![X73:reg]:(((c @ X73 @ X22)=>(c @ X73 @ spain)))&![X74:reg]:(((c @ X74 @ spain)=>(c @ X74 @ X22)))))&~(?[X75:reg]:((![X76:reg]:(((c @ X76 @ X75)=>(c @ X76 @ X22)))&![X77:reg]:(((c @ X77 @ X75)=>(c @ X77 @ paris))))))))))), 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)],[inference(assume_negation,[status(cth)],[con])]), c_0_30]), c_0_35]), c_0_22]), c_0_33])])). 0.21/0.55 thf(c_0_39, plain, ![X95:$i, X94:$i]:((~(fool @ X95 @ X94)|((c @ spain @ france)&~(?[X91:reg]:((![X92:reg]:(((c @ X92 @ X91)=>(c @ X92 @ spain)))&![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)],[ax2]), c_0_30]), c_0_28]), c_0_33])])). 0.21/0.55 thf(c_0_40, plain, ![X139:$i, X140:$i > $o]:((((fool @ X139 @ (esk10_2 @ X139 @ X140))|(X140 @ X139))&(~(X140 @ (esk10_2 @ X139 @ X140))|(X140 @ X139)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])). 0.21/0.55 thf(c_0_41, plain, (~((epred10_0))<=>![X3:$i, X14:$i]:(~((fool @ X3 @ X14)))), introduced(definition)). 0.21/0.55 thf(c_0_42, plain, ![X116:$i, X117:$i, X118:reg, X120:reg, X122:reg, X123:reg, X125:reg, X126:reg]:((((~(c @ X118 @ paris)|(c @ X118 @ france)|~(a @ X116 @ X117))&(((c @ esk4_0 @ france)|~(a @ X116 @ X117))&(~(c @ esk4_0 @ paris)|~(a @ X116 @ X117))))&(((~(c @ X125 @ (esk6_1 @ X120))|(c @ X125 @ X120)|~(c @ X120 @ france)|(~(c @ X122 @ (esk5_1 @ X120))|(c @ X122 @ X120)|~(c @ X120 @ paris))|~(a @ X116 @ X117))&(~(c @ X126 @ (esk6_1 @ X120))|(c @ X126 @ france)|~(c @ X120 @ france)|(~(c @ X122 @ (esk5_1 @ X120))|(c @ X122 @ X120)|~(c @ X120 @ paris))|~(a @ X116 @ X117)))&((~(c @ X125 @ (esk6_1 @ X120))|(c @ X125 @ X120)|~(c @ X120 @ france)|(~(c @ X123 @ (esk5_1 @ X120))|(c @ X123 @ paris)|~(c @ X120 @ paris))|~(a @ X116 @ X117))&(~(c @ X126 @ (esk6_1 @ X120))|(c @ X126 @ france)|~(c @ X120 @ france)|(~(c @ X123 @ (esk5_1 @ X120))|(c @ X123 @ paris)|~(c @ X120 @ paris))|~(a @ X116 @ X117)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])])])). 0.21/0.55 thf(c_0_43, plain, (~((epred4_0))<=>![X3:$i, X14:$i]:(~((a @ X3 @ X14)))), introduced(definition)). 0.21/0.55 thf(c_0_44, negated_conjecture, ![X110:reg, X111:reg, X112:reg, X114:reg, X115:reg]:(((a @ esk1_0 @ esk2_0)&(((~(c @ X114 @ (esk3_1 @ X110))|(c @ X114 @ X110)|(~(c @ X111 @ X110)|(c @ X111 @ spain)))&(~(c @ X115 @ (esk3_1 @ X110))|(c @ X115 @ paris)|(~(c @ X111 @ X110)|(c @ X111 @ spain))))&((~(c @ X114 @ (esk3_1 @ X110))|(c @ X114 @ X110)|(~(c @ X112 @ spain)|(c @ X112 @ X110)))&(~(c @ X115 @ (esk3_1 @ X110))|(c @ X115 @ paris)|(~(c @ X112 @ spain)|(c @ X112 @ X110))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])])])). 0.21/0.55 thf(c_0_45, plain, ![X38:reg, X39:reg]:(((c @ X38 @ X39)=>(c @ X39 @ X38))), inference(fof_simplification,[status(thm)],[c_symmetric])). 0.21/0.55 thf(c_0_46, plain, ![X127:$i, X128:$i, X129:reg]:((((c @ spain @ france)|~(fool @ X127 @ X128))&((((c @ (esk8_1 @ X129) @ X129)|(c @ (esk7_1 @ X129) @ X129)|~(fool @ X127 @ X128))&(~(c @ (esk8_1 @ X129) @ france)|(c @ (esk7_1 @ X129) @ X129)|~(fool @ X127 @ X128)))&(((c @ (esk8_1 @ X129) @ X129)|~(c @ (esk7_1 @ X129) @ spain)|~(fool @ X127 @ X128))&(~(c @ (esk8_1 @ X129) @ france)|~(c @ (esk7_1 @ X129) @ spain)|~(fool @ X127 @ X128)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])])])). 0.21/0.55 thf(c_0_47, plain, ![X3:$i, X4:$i > $o]:(((X4 @ X3)|~((X4 @ (esk10_2 @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_40])). 0.21/0.55 thf(c_0_48, plain, ![X4:$i > $o, X3:$i]:(((fool @ X3 @ (esk10_2 @ X3 @ X4))|(X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_40])). 0.21/0.55 thf(c_0_49, plain, (~((epred2_0))<=>![X3:$i, X14:$i]:(~((fool @ X3 @ X14)))), introduced(definition)). 0.21/0.55 thf(c_0_50, plain, ![X3:$i, X14:$i]:(((epred10_0)|~((fool @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_41])). 0.21/0.55 thf(c_0_51, plain, (~((epred3_0))<=>![X18:reg]:(((c @ X18 @ france)|~((c @ X18 @ paris))))), introduced(definition)). 0.21/0.55 thf(c_0_52, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_42])). 0.21/0.55 thf(c_0_53, plain, ![X3:$i, X14:$i]:(((epred4_0)|~((a @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_43])). 0.21/0.55 thf(c_0_54, negated_conjecture, (a @ esk1_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_44])). 0.21/0.55 thf(c_0_55, plain, ![X136:reg]:((c @ X136 @ X136)), inference(variable_rename,[status(thm)],[c_reflexive])). 0.21/0.55 thf(c_0_56, plain, ![X137:reg, X138:reg]:((~(c @ X137 @ X138)|(c @ X138 @ X137))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])). 0.21/0.55 thf(c_0_57, plain, ![X3:$i, X14:$i]:(((c @ spain @ france)|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.21/0.55 thf(c_0_58, plain, ![X3:$i]:((fool @ X3 @ X3)), inference(spm,[status(thm)],[c_0_47, c_0_48])). 0.21/0.55 thf(c_0_59, plain, ![X3:$i, X14:$i]:(((epred2_0)|~((fool @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_49])). 0.21/0.55 thf(c_0_60, plain, (~((epred9_0))<=>![X18:reg]:(((c @ (esk7_1 @ X18) @ X18)|~((c @ (esk8_1 @ X18) @ france))))), introduced(definition)). 0.21/0.55 thf(c_0_61, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk7_1 @ X18) @ X18)|~((c @ (esk8_1 @ X18) @ france))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.21/0.55 thf(c_0_62, plain, ![X4:$i > $o, X3:$i]:(((X4 @ X3)|(epred10_0))), inference(spm,[status(thm)],[c_0_50, c_0_48])). 0.21/0.55 thf(c_0_63, plain, (~((epred4_0))|~((epred3_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_52, c_0_51]), c_0_43])). 0.21/0.55 thf(c_0_64, negated_conjecture, (epred4_0), inference(spm,[status(thm)],[c_0_53, c_0_54])). 0.21/0.55 thf(c_0_65, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ X18 @ paris)|(c @ X20 @ X19)|~((c @ X18 @ (esk3_1 @ X19)))|~((c @ X20 @ spain)))), inference(split_conjunct,[status(thm)],[c_0_44])). 0.21/0.55 thf(c_0_66, plain, ![X18:reg]:((c @ X18 @ X18)), inference(split_conjunct,[status(thm)],[c_0_55])). 0.21/0.55 thf(c_0_67, plain, ![X18:reg, X19:reg]:(((c @ X19 @ X18)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_56])). 0.21/0.55 thf(c_0_68, plain, (c @ spain @ france), inference(spm,[status(thm)],[c_0_57, c_0_58])). 0.21/0.55 thf(c_0_69, plain, (~((epred1_0))<=>![X18:reg]:((~((c @ (esk8_1 @ X18) @ france))|~((c @ (esk7_1 @ X18) @ spain))))), introduced(definition)). 0.21/0.55 thf(c_0_70, plain, ![X18:reg, X3:$i, X14:$i]:((~((c @ (esk8_1 @ X18) @ france))|~((c @ (esk7_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_46])). 0.21/0.55 thf(c_0_71, plain, ![X4:$i > $o, X3:$i]:(((X4 @ X3)|(epred2_0))), inference(spm,[status(thm)],[c_0_59, c_0_48])). 0.21/0.55 thf(c_0_72, plain, (~((epred10_0))|~((epred9_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_61, c_0_60]), c_0_41])). 0.21/0.55 thf(c_0_73, plain, (epred10_0), inference(spm,[status(thm)],[c_0_50, c_0_62])). 0.21/0.55 thf(c_0_74, plain, ![X18:reg]:(((c @ X18 @ france)|(epred3_0)|~((c @ X18 @ paris)))), inference(split_equiv,[status(thm)],[c_0_51])). 0.21/0.55 thf(c_0_75, plain, ~((epred3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_64])])). 0.21/0.55 thf(c_0_76, negated_conjecture, ![X18:reg, X19:reg]:(((c @ (esk3_1 @ X18) @ paris)|(c @ X19 @ X18)|~((c @ X19 @ spain)))), inference(spm,[status(thm)],[c_0_65, c_0_66])). 0.21/0.55 thf(c_0_77, plain, (c @ france @ spain), inference(spm,[status(thm)],[c_0_67, c_0_68])). 0.21/0.55 thf(c_0_78, plain, (~((epred2_0))|~((epred1_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_70, c_0_69]), c_0_49])). 0.21/0.55 thf(c_0_79, plain, (epred2_0), inference(spm,[status(thm)],[c_0_59, c_0_71])). 0.21/0.55 thf(c_0_80, plain, ![X18:reg]:(((c @ (esk7_1 @ X18) @ X18)|(epred9_0)|~((c @ (esk8_1 @ X18) @ france)))), inference(split_equiv,[status(thm)],[c_0_60])). 0.21/0.55 thf(c_0_81, plain, ~((epred9_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72, c_0_73])])). 0.21/0.55 thf(c_0_82, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ X18 @ X19)|(c @ X20 @ X19)|~((c @ X18 @ (esk3_1 @ X19)))|~((c @ X20 @ spain)))), inference(split_conjunct,[status(thm)],[c_0_44])). 0.21/0.55 thf(c_0_83, plain, ![X18:reg]:(((c @ X18 @ france)|~((c @ X18 @ paris)))), inference(sr,[status(thm)],[c_0_74, c_0_75])). 0.21/0.55 thf(c_0_84, negated_conjecture, ![X18:reg]:(((c @ (esk3_1 @ X18) @ paris)|(c @ france @ X18))), inference(spm,[status(thm)],[c_0_76, c_0_77])). 0.21/0.55 thf(c_0_85, plain, ![X18:reg]:(((epred1_0)|~((c @ (esk8_1 @ X18) @ france))|~((c @ (esk7_1 @ X18) @ spain)))), inference(split_equiv,[status(thm)],[c_0_69])). 0.21/0.55 thf(c_0_86, plain, ~((epred1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78, c_0_79])])). 0.21/0.55 thf(c_0_87, plain, ![X18:reg]:(((c @ (esk7_1 @ X18) @ X18)|~((c @ (esk8_1 @ X18) @ france)))), inference(sr,[status(thm)],[c_0_80, c_0_81])). 0.21/0.55 thf(c_0_88, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ X18 @ X19)|(c @ X20 @ X19)|~((c @ (esk3_1 @ X19) @ X18))|~((c @ X20 @ spain)))), inference(spm,[status(thm)],[c_0_82, c_0_67])). 0.21/0.55 thf(c_0_89, negated_conjecture, ![X18:reg]:(((c @ (esk3_1 @ X18) @ france)|(c @ france @ X18))), inference(spm,[status(thm)],[c_0_83, c_0_84])). 0.21/0.55 thf(c_0_90, plain, ![X18:reg]:((~((c @ (esk7_1 @ X18) @ spain))|~((c @ france @ (esk8_1 @ X18))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_67]), c_0_86])). 0.21/0.55 thf(c_0_91, plain, ![X18:reg]:(((c @ (esk7_1 @ X18) @ X18)|~((c @ france @ (esk8_1 @ X18))))), inference(spm,[status(thm)],[c_0_87, c_0_67])). 0.21/0.55 thf(c_0_92, negated_conjecture, ![X18:reg, X19:reg]:(((c @ france @ X18)|(c @ X19 @ X18)|~((c @ X19 @ spain)))), inference(spm,[status(thm)],[c_0_88, c_0_89])). 0.21/0.55 thf(c_0_93, plain, ~((c @ france @ (esk8_1 @ spain))), inference(spm,[status(thm)],[c_0_90, c_0_91])). 0.21/0.55 thf(c_0_94, negated_conjecture, ![X18:reg]:((c @ france @ X18)), inference(spm,[status(thm)],[c_0_92, c_0_77])). 0.21/0.55 thf(c_0_95, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93, c_0_94])]), ['proof']). 0.21/0.55 # SZS output end CNFRefutation 0.21/0.55 # Parsed axioms : 98 0.21/0.55 # Removed by relevancy pruning/SinE : 77 0.21/0.55 # Initial clauses : 25 0.21/0.55 # Removed in clause preprocessing : 0 0.21/0.55 # Initial clauses in saturation : 25 0.21/0.55 # Processed clauses : 274 0.21/0.55 # ...of these trivial : 15 0.21/0.55 # ...subsumed : 41 0.21/0.55 # ...remaining for further processing : 218 0.21/0.55 # Other redundant clauses eliminated : 0 0.21/0.55 # Clauses deleted for lack of memory : 0 0.21/0.55 # Backward-subsumed : 6 0.21/0.55 # Backward-rewritten : 46 0.21/0.55 # Generated clauses : 884 0.21/0.55 # ...of the previous two non-redundant : 622 0.21/0.55 # ...aggressively subsumed : 0 0.21/0.55 # Contextual simplify-reflections : 6 0.21/0.55 # Paramodulations : 857 0.21/0.55 # Factorizations : 0 0.21/0.55 # NegExts : 0 0.21/0.55 # Equation resolutions : 0 0.21/0.55 # Disequality decompositions : 0 0.21/0.55 # Total rewrite steps : 325 0.21/0.55 # ...of those cached : 276 0.21/0.55 # Propositional unsat checks : 0 0.21/0.55 # Propositional check models : 0 0.21/0.55 # Propositional check unsatisfiable : 0 0.21/0.55 # Propositional clauses : 0 0.21/0.55 # Propositional clauses after purity: 0 0.21/0.55 # Propositional unsat core size : 0 0.21/0.55 # Propositional preprocessing time : 0.000 0.21/0.55 # Propositional encoding time : 0.000 0.21/0.55 # Propositional solver time : 0.000 0.21/0.55 # Success case prop preproc time : 0.000 0.21/0.55 # Success case prop encoding time : 0.000 0.21/0.55 # Success case prop solver time : 0.000 0.21/0.55 # Current number of processed clauses : 114 0.21/0.55 # Positive orientable unit clauses : 27 0.21/0.55 # Positive unorientable unit clauses: 0 0.21/0.55 # Negative unit clauses : 14 0.21/0.55 # Non-unit-clauses : 73 0.21/0.55 # Current number of unprocessed clauses: 376 0.21/0.55 # ...number of literals in the above : 1363 0.21/0.55 # Current number of archived formulas : 0 0.21/0.55 # Current number of archived clauses : 95 0.21/0.55 # Clause-clause subsumption calls (NU) : 3671 0.21/0.55 # Rec. Clause-clause subsumption calls : 1857 0.21/0.55 # Non-unit clause-clause subsumptions : 45 0.21/0.55 # Unit Clause-clause subsumption calls : 256 0.21/0.55 # Rewrite failures with RHS unbound : 0 0.21/0.55 # BW rewrite match attempts : 35 0.21/0.55 # BW rewrite match successes : 26 0.21/0.55 # Condensation attempts : 282 0.21/0.55 # Condensation successes : 0 0.21/0.55 # Termbank termtop insertions : 16546 0.21/0.55 # Search garbage collected termcells : 1453 0.21/0.55 0.21/0.55 # ------------------------------------------------- 0.21/0.55 # User time : 0.034 s 0.21/0.55 # System time : 0.006 s 0.21/0.55 # Total time : 0.040 s 0.21/0.55 # Maximum resident set size: 2292 pages 0.21/0.55 0.21/0.55 # ------------------------------------------------- 0.21/0.55 # User time : 0.035 s 0.21/0.55 # System time : 0.010 s 0.21/0.55 # Total time : 0.044 s 0.21/0.55 # Maximum resident set size: 1832 pages 0.21/0.55 % E exiting 0.21/0.55 % E exiting 0.21/0.55 EOF