0.11/0.12 % Problem : Vampire---4.8_28326 : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : run_E %s %d THM 0.13/0.34 % Computer : n029.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1440 0.13/0.34 % WCLimit : 180 0.13/0.34 % DateTime : Mon Jul 3 13:06:57 EDT 2023 0.13/0.34 % CPUTime : 0.20/0.47 Running higher-order theorem provingRunning: /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=180 /export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326 0.20/0.48 # Version: 3.1pre001-ho 0.20/0.52 # Preprocessing class: HSMSSMSSMLLNHSN. 0.20/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.52 # Starting new_ho_10_cnf2 with 900s (5) cores 0.20/0.52 # Starting post_as_ho3 with 180s (1) cores 0.20/0.52 # Starting new_ho_12 with 180s (1) cores 0.20/0.52 # Starting new_bool_2 with 180s (1) cores 0.20/0.52 # new_ho_10_cnf2 with pid 28505 completed with status 0 0.20/0.52 # Result found by new_ho_10_cnf2 0.20/0.52 # Preprocessing class: HSMSSMSSMLLNHSN. 0.20/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.52 # Starting new_ho_10_cnf2 with 900s (5) cores 0.20/0.52 # No SInE strategy applied 0.20/0.52 # Search class: HGHNF-FFMF21-SHSSMSBN 0.20/0.52 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.20/0.52 # Starting new_ho_9 with 487s (1) cores 0.20/0.52 # Starting new_ho_10_cnf2 with 91s (1) cores 0.20/0.52 # Starting pre_casc_8 with 82s (1) cores 0.20/0.52 # Starting post_as_ho2 with 82s (1) cores 0.20/0.52 # Starting post_as_ho1 with 82s (1) cores 0.20/0.52 # post_as_ho1 with pid 28516 completed with status 0 0.20/0.52 # Result found by post_as_ho1 0.20/0.52 # Preprocessing class: HSMSSMSSMLLNHSN. 0.20/0.52 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.20/0.52 # Starting new_ho_10_cnf2 with 900s (5) cores 0.20/0.52 # No SInE strategy applied 0.20/0.52 # Search class: HGHNF-FFMF21-SHSSMSBN 0.20/0.52 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.20/0.52 # Starting new_ho_9 with 487s (1) cores 0.20/0.52 # Starting new_ho_10_cnf2 with 91s (1) cores 0.20/0.52 # Starting pre_casc_8 with 82s (1) cores 0.20/0.52 # Starting post_as_ho2 with 82s (1) cores 0.20/0.52 # Starting post_as_ho1 with 82s (1) cores 0.20/0.52 # Preprocessing time : 0.002 s 0.20/0.52 # Presaturation interreduction done 0.20/0.52 0.20/0.52 # Proof found! 0.20/0.52 # SZS status Theorem 0.20/0.52 # SZS output start CNFRefutation 0.20/0.52 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 0.20/0.52 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_32, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.20/0.52 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.20/0.52 thf(decl_49, type, mvalid: ($i > $o) > $o). 0.20/0.52 thf(decl_53, type, c: reg > reg > $o). 0.20/0.52 thf(decl_55, type, p: reg > reg > $o). 0.20/0.52 thf(decl_57, type, o: reg > reg > $o). 0.20/0.52 thf(decl_59, type, ec: reg > reg > $o). 0.20/0.52 thf(decl_60, type, pp: reg > reg > $o). 0.20/0.52 thf(decl_61, type, tpp: reg > reg > $o). 0.20/0.52 thf(decl_62, type, ntpp: reg > reg > $o). 0.20/0.52 thf(decl_63, type, catalunya: reg). 0.20/0.52 thf(decl_64, type, france: reg). 0.20/0.52 thf(decl_65, type, spain: reg). 0.20/0.52 thf(decl_66, type, paris: reg). 0.20/0.52 thf(decl_67, type, a: $i > $i > $o). 0.20/0.52 thf(decl_68, type, fool: $i > $i > $o). 0.20/0.52 thf(decl_70, type, esk2_2: $i > ($i > $o) > $i). 0.20/0.52 thf(decl_71, type, esk3_2: $i > ($i > $o) > $i). 0.20/0.52 thf(decl_72, type, esk4_0: reg). 0.20/0.52 thf(decl_73, type, esk5_0: reg). 0.20/0.52 thf(decl_74, type, esk6_1: reg > reg). 0.20/0.52 thf(decl_75, type, esk7_1: reg > reg). 0.20/0.52 thf(decl_76, type, esk8_1: reg > reg). 0.20/0.52 thf(decl_77, type, esk9_1: reg > reg). 0.20/0.52 thf(decl_78, type, esk10_1: reg > reg). 0.20/0.52 thf(decl_79, type, esk11_1: reg > reg). 0.20/0.52 thf(decl_80, type, esk12_0: reg). 0.20/0.52 thf(decl_81, type, esk13_1: reg > reg). 0.20/0.52 thf(decl_82, type, esk14_1: reg > reg). 0.20/0.52 thf(decl_83, type, esk15_0: $i). 0.20/0.52 thf(decl_84, type, esk16_0: $i). 0.20/0.52 thf(decl_85, type, esk17_0: reg). 0.20/0.52 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:(((p @ X22 @ X25)&(p @ X22 @ X26)))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', o)). 0.20/0.52 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:(((c @ X22 @ X20)=>(c @ X22 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', p)). 0.20/0.52 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', mimplies)). 0.20/0.52 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', mnot)). 0.20/0.52 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', mor)). 0.20/0.52 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:(((c @ X29 @ X30)&~((o @ X29 @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', ec)). 0.20/0.52 thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', mforall_prop)). 0.20/0.52 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', mbox)). 0.20/0.52 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', mvalid)). 0.20/0.52 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:(((p @ X31 @ X32)&~((p @ X32 @ X31)))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', pp)). 0.20/0.52 thf(t_axiom_for_fool, axiom, (mvalid @ (mforall_prop @ (^[X40:$i > $o]:(mimplies @ (mbox @ fool @ X40) @ X40)))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', t_axiom_for_fool)). 0.20/0.52 thf(ntpp, axiom, ((ntpp)=(^[X35:reg, X36:reg]:(((pp @ X35 @ X36)&~(?[X22:reg]:(((ec @ X22 @ X35)&(ec @ X22 @ X36)))))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', ntpp)). 0.20/0.52 thf(ax2, axiom, (mvalid @ (mbox @ fool @ (^[X42:$i]:((ec @ spain @ france))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', ax2)). 0.20/0.52 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X44:$i]:(![X22:reg]:((~((p @ X22 @ paris))<=(p @ X22 @ catalunya))))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', con)). 0.20/0.52 thf(ax3, axiom, (mvalid @ (mbox @ a @ (^[X43:$i]:((ntpp @ paris @ france))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', ax3)). 0.20/0.52 thf(i_axiom_for_fool_a, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mbox @ fool @ X6) @ (mbox @ a @ X6))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', i_axiom_for_fool_a)). 0.20/0.52 thf(tpp, axiom, ((tpp)=(^[X33:reg, X34:reg]:(((pp @ X33 @ X34)&?[X22:reg]:(((ec @ X22 @ X33)&(ec @ X22 @ X34))))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', tpp)). 0.20/0.52 thf(ax1, axiom, (mvalid @ (mbox @ a @ (^[X41:$i]:((tpp @ catalunya @ spain))))), file('/export/starexec/sandbox/tmp/tmp.qySssXpetu/Vampire---4.8_28326', ax1)). 0.20/0.52 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])). 0.20/0.52 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])). 0.20/0.52 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])). 0.20/0.52 thf(c_0_21, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.20/0.52 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])). 0.20/0.52 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])). 0.20/0.52 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])). 0.20/0.52 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])). 0.20/0.52 thf(c_0_26, plain, ((mforall_prop)=(^[Z0/* 19 */:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])). 0.20/0.52 thf(c_0_27, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.20/0.52 thf(c_0_28, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.20/0.52 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])). 0.20/0.52 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])). 0.20/0.52 thf(c_0_31, plain, ![X88:$i, X87:$i > $o]:((~(![X86:$i]:((~(fool @ X88 @ X86)|(X87 @ X86))))|(X87 @ X88))), 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])])). 0.20/0.52 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])). 0.20/0.52 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])). 0.20/0.52 thf(c_0_34, plain, ![X108:$i, X107:$i]:((~(fool @ X108 @ X107)|((c @ spain @ france)&~(?[X104:reg]:((![X105:reg]:(((c @ X105 @ X104)=>(c @ X105 @ spain)))&![X106:reg]:(((c @ X106 @ X104)=>(c @ X106 @ 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])])). 0.20/0.52 thf(c_0_35, plain, ![X132:$i, X133:$i > $o]:((((fool @ X132 @ (esk2_2 @ X132 @ X133))|(X133 @ X132))&(~(X133 @ (esk2_2 @ X132 @ X133))|(X133 @ X132)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])])). 0.20/0.52 thf(c_0_36, plain, ((ntpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X73:reg]:(((c @ X73 @ Z0)=>(c @ X73 @ Z1))))&~((![X74:reg]:(((c @ X74 @ Z1)=>(c @ X74 @ Z0)))))))&~(?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X75:reg]:(((![X76:reg]:(((c @ X76 @ X75)=>(c @ X76 @ X22))))&(![X77:reg]:(((c @ X77 @ X75)=>(c @ X77 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X78:reg]:(((![X79:reg]:(((c @ X79 @ X78)=>(c @ X79 @ X22))))&(![X80:reg]:(((c @ X80 @ X78)=>(c @ X80 @ Z1))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_32, c_0_30]), c_0_33])). 0.20/0.52 thf(c_0_37, negated_conjecture, ~(![X123:$i, X122:$i]:((~(a @ X123 @ X122)|![X22:reg]:((![X121:reg]:(((c @ X121 @ X22)=>(c @ X121 @ catalunya)))=>~(![X120:reg]:(((c @ X120 @ X22)=>(c @ X120 @ paris))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]), c_0_27]), c_0_28]), c_0_19])])). 0.20/0.52 thf(c_0_38, plain, ![X150:$i, X151:$i, X152:reg]:((((c @ spain @ france)|~(fool @ X150 @ X151))&((((c @ (esk11_1 @ X152) @ X152)|(c @ (esk10_1 @ X152) @ X152)|~(fool @ X150 @ X151))&(~(c @ (esk11_1 @ X152) @ france)|(c @ (esk10_1 @ X152) @ X152)|~(fool @ X150 @ X151)))&(((c @ (esk11_1 @ X152) @ X152)|~(c @ (esk10_1 @ X152) @ spain)|~(fool @ X150 @ X151))&(~(c @ (esk11_1 @ X152) @ france)|~(c @ (esk10_1 @ X152) @ spain)|~(fool @ X150 @ X151)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])])])). 0.20/0.52 thf(c_0_39, plain, ![X3:$i, X4:$i > $o]:(((X4 @ X3)|~((X4 @ (esk2_2 @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_35])). 0.20/0.52 thf(c_0_40, plain, ![X4:$i > $o, X3:$i]:(((fool @ X3 @ (esk2_2 @ X3 @ X4))|(X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_35])). 0.20/0.52 thf(c_0_41, plain, ![X119:$i, X118:$i]:((~(a @ X119 @ X118)|((![X109:reg]:(((c @ X109 @ paris)=>(c @ X109 @ france)))&~(![X110:reg]:(((c @ X110 @ france)=>(c @ X110 @ paris)))))&~(?[X111:reg]:((((c @ X111 @ paris)&~(?[X112:reg]:((![X113:reg]:(((c @ X113 @ X112)=>(c @ X113 @ X111)))&![X114:reg]:(((c @ X114 @ X112)=>(c @ X114 @ paris)))))))&((c @ X111 @ france)&~(?[X115:reg]:((![X116:reg]:(((c @ X116 @ X115)=>(c @ X116 @ X111)))&![X117:reg]:(((c @ X117 @ X115)=>(c @ X117 @ 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])])). 0.20/0.52 thf(c_0_42, negated_conjecture, ![X169:reg, X170:reg]:(((a @ esk15_0 @ esk16_0)&((~(c @ X169 @ esk17_0)|(c @ X169 @ catalunya))&(~(c @ X170 @ esk17_0)|(c @ X170 @ paris))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])). 0.20/0.52 thf(c_0_43, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk11_1 @ X18) @ X18)|(c @ (esk10_1 @ X18) @ X18)|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.20/0.52 thf(c_0_44, plain, ![X3:$i]:((fool @ X3 @ X3)), inference(spm,[status(thm)],[c_0_39, c_0_40])). 0.20/0.52 thf(c_0_45, plain, ![X92:$i, X91:$i > $o]:((~(![X89:$i]:((~(fool @ X92 @ X89)|(X91 @ X89))))|![X90:$i]:((~(a @ X92 @ X90)|(X91 @ X90))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[i_axiom_for_fool_a]), c_0_25]), c_0_26]), c_0_27]), c_0_28])])). 0.20/0.52 thf(c_0_46, plain, ![X155:$i, X156:$i, X157:reg, X159:reg, X161:reg, X162:reg, X164:reg, X165:reg]:((((~(c @ X157 @ paris)|(c @ X157 @ france)|~(a @ X155 @ X156))&(((c @ esk12_0 @ france)|~(a @ X155 @ X156))&(~(c @ esk12_0 @ paris)|~(a @ X155 @ X156))))&(((~(c @ X164 @ (esk14_1 @ X159))|(c @ X164 @ X159)|~(c @ X159 @ france)|(~(c @ X161 @ (esk13_1 @ X159))|(c @ X161 @ X159)|~(c @ X159 @ paris))|~(a @ X155 @ X156))&(~(c @ X165 @ (esk14_1 @ X159))|(c @ X165 @ france)|~(c @ X159 @ france)|(~(c @ X161 @ (esk13_1 @ X159))|(c @ X161 @ X159)|~(c @ X159 @ paris))|~(a @ X155 @ X156)))&((~(c @ X164 @ (esk14_1 @ X159))|(c @ X164 @ X159)|~(c @ X159 @ france)|(~(c @ X162 @ (esk13_1 @ X159))|(c @ X162 @ paris)|~(c @ X159 @ paris))|~(a @ X155 @ X156))&(~(c @ X165 @ (esk14_1 @ X159))|(c @ X165 @ france)|~(c @ X159 @ france)|(~(c @ X162 @ (esk13_1 @ X159))|(c @ X162 @ paris)|~(c @ X159 @ paris))|~(a @ X155 @ X156)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])])])). 0.20/0.52 thf(c_0_47, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|~((c @ X18 @ esk17_0)))), inference(split_conjunct,[status(thm)],[c_0_42])). 0.20/0.52 thf(c_0_48, plain, ![X18:reg]:(((c @ (esk11_1 @ X18) @ X18)|(c @ (esk10_1 @ X18) @ X18))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 0.20/0.52 thf(c_0_49, plain, ![X135:$i, X136:$i > $o, X138:$i]:((((fool @ X135 @ (esk3_2 @ X135 @ X136))|(~(a @ X135 @ X138)|(X136 @ X138)))&(~(X136 @ (esk3_2 @ X135 @ X136))|(~(a @ X135 @ X138)|(X136 @ X138))))), 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_45])])])])])). 0.20/0.52 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])). 0.20/0.52 thf(c_0_51, negated_conjecture, ((c @ (esk10_1 @ esk17_0) @ esk17_0)|(c @ (esk11_1 @ esk17_0) @ paris)), inference(spm,[status(thm)],[c_0_47, c_0_48])). 0.20/0.52 thf(c_0_52, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((fool @ X3 @ (esk3_2 @ X3 @ X4))|(X4 @ X14)|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_49])). 0.20/0.52 thf(c_0_53, negated_conjecture, (a @ esk15_0 @ esk16_0), inference(split_conjunct,[status(thm)],[c_0_42])). 0.20/0.52 thf(c_0_54, plain, ((tpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X65:reg]:(((c @ X65 @ Z0)=>(c @ X65 @ Z1))))&~((![X66:reg]:(((c @ X66 @ Z1)=>(c @ X66 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X67:reg]:(((![X68:reg]:(((c @ X68 @ X67)=>(c @ X68 @ X22))))&(![X69:reg]:(((c @ X69 @ X67)=>(c @ X69 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X70:reg]:(((![X71:reg]:(((c @ X71 @ X70)=>(c @ X71 @ X22))))&(![X72:reg]:(((c @ X72 @ X70)=>(c @ X72 @ Z1)))))))))))))))), inference(fof_simplification,[status(thm)],[tpp])). 0.20/0.52 thf(c_0_55, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk10_1 @ esk17_0) @ esk17_0)|(c @ (esk11_1 @ esk17_0) @ france)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_50, c_0_51])). 0.20/0.52 thf(c_0_56, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((X4 @ X14)|~((X4 @ (esk3_2 @ X3 @ X4)))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_49])). 0.20/0.52 thf(c_0_57, negated_conjecture, ![X4:$i > $o]:(((fool @ esk15_0 @ (esk3_2 @ esk15_0 @ X4))|(X4 @ esk16_0))), inference(spm,[status(thm)],[c_0_52, c_0_53])). 0.20/0.52 thf(c_0_58, plain, ((tpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X65:reg]:(((c @ X65 @ Z0)=>(c @ X65 @ Z1))))&~((![X66:reg]:(((c @ X66 @ Z1)=>(c @ X66 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X67:reg]:(((![X68:reg]:(((c @ X68 @ X67)=>(c @ X68 @ X22))))&(![X69:reg]:(((c @ X69 @ X67)=>(c @ X69 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X70:reg]:(((![X71:reg]:(((c @ X71 @ X70)=>(c @ X71 @ X22))))&(![X72:reg]:(((c @ X72 @ X70)=>(c @ X72 @ Z1)))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_54, c_0_30]), c_0_33])). 0.20/0.52 thf(c_0_59, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk10_1 @ X18) @ X18)|~((c @ (esk11_1 @ X18) @ france))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.20/0.52 thf(c_0_60, negated_conjecture, ((c @ (esk11_1 @ esk17_0) @ france)|(c @ (esk10_1 @ esk17_0) @ esk17_0)), inference(spm,[status(thm)],[c_0_55, c_0_53])). 0.20/0.52 thf(c_0_61, negated_conjecture, ![X3:$i]:(((fool @ esk15_0 @ esk16_0)|(fool @ esk15_0 @ X3)|~((a @ esk15_0 @ X3)))), inference(spm,[status(thm)],[c_0_56, c_0_57])). 0.20/0.52 thf(c_0_62, plain, ![X103:$i, X102:$i]:((~(a @ X103 @ X102)|((![X93:reg]:(((c @ X93 @ catalunya)=>(c @ X93 @ spain)))&~(![X94:reg]:(((c @ X94 @ spain)=>(c @ X94 @ catalunya)))))&?[X95:reg]:((((c @ X95 @ catalunya)&~(?[X96:reg]:((![X97:reg]:(((c @ X97 @ X96)=>(c @ X97 @ X95)))&![X98:reg]:(((c @ X98 @ X96)=>(c @ X98 @ catalunya)))))))&((c @ X95 @ spain)&~(?[X99:reg]:((![X100:reg]:(((c @ X100 @ X99)=>(c @ X100 @ X95)))&![X101:reg]:(((c @ X101 @ X99)=>(c @ X101 @ 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])])). 0.20/0.52 thf(c_0_63, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk10_1 @ esk17_0) @ esk17_0)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_59, c_0_60])). 0.20/0.52 thf(c_0_64, negated_conjecture, (fool @ esk15_0 @ esk16_0), inference(spm,[status(thm)],[c_0_61, c_0_53])). 0.20/0.52 thf(c_0_65, plain, ![X139:$i, X140:$i, X141:reg, X144:reg, X147:reg]:((((~(c @ X141 @ catalunya)|(c @ X141 @ spain)|~(a @ X139 @ X140))&(((c @ esk4_0 @ spain)|~(a @ X139 @ X140))&(~(c @ esk4_0 @ catalunya)|~(a @ X139 @ X140))))&((((c @ esk5_0 @ catalunya)|~(a @ X139 @ X140))&((((c @ (esk7_1 @ X144) @ X144)|(c @ (esk6_1 @ X144) @ X144)|~(a @ X139 @ X140))&(~(c @ (esk7_1 @ X144) @ catalunya)|(c @ (esk6_1 @ X144) @ X144)|~(a @ X139 @ X140)))&(((c @ (esk7_1 @ X144) @ X144)|~(c @ (esk6_1 @ X144) @ esk5_0)|~(a @ X139 @ X140))&(~(c @ (esk7_1 @ X144) @ catalunya)|~(c @ (esk6_1 @ X144) @ esk5_0)|~(a @ X139 @ X140)))))&(((c @ esk5_0 @ spain)|~(a @ X139 @ X140))&((((c @ (esk9_1 @ X147) @ X147)|(c @ (esk8_1 @ X147) @ X147)|~(a @ X139 @ X140))&(~(c @ (esk9_1 @ X147) @ spain)|(c @ (esk8_1 @ X147) @ X147)|~(a @ X139 @ X140)))&(((c @ (esk9_1 @ X147) @ X147)|~(c @ (esk8_1 @ X147) @ esk5_0)|~(a @ X139 @ X140))&(~(c @ (esk9_1 @ X147) @ spain)|~(c @ (esk8_1 @ X147) @ esk5_0)|~(a @ X139 @ X140)))))))), 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_62])])])])])])). 0.20/0.52 thf(c_0_66, negated_conjecture, ![X18:reg]:(((c @ X18 @ catalunya)|~((c @ X18 @ esk17_0)))), inference(split_conjunct,[status(thm)],[c_0_42])). 0.20/0.52 thf(c_0_67, negated_conjecture, (c @ (esk10_1 @ esk17_0) @ esk17_0), inference(spm,[status(thm)],[c_0_63, c_0_64])). 0.20/0.52 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])). 0.20/0.52 thf(c_0_69, negated_conjecture, (c @ (esk10_1 @ esk17_0) @ catalunya), inference(spm,[status(thm)],[c_0_66, c_0_67])). 0.20/0.52 thf(c_0_70, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk10_1 @ esk17_0) @ spain)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_68, c_0_69])). 0.20/0.52 thf(c_0_71, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk11_1 @ X18) @ X18)|~((c @ (esk10_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.20/0.52 thf(c_0_72, negated_conjecture, (c @ (esk10_1 @ esk17_0) @ spain), inference(spm,[status(thm)],[c_0_70, c_0_53])). 0.20/0.52 thf(c_0_73, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk11_1 @ esk17_0) @ esk17_0)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_71, c_0_72])). 0.20/0.52 thf(c_0_74, negated_conjecture, (c @ (esk11_1 @ esk17_0) @ esk17_0), inference(spm,[status(thm)],[c_0_73, c_0_64])). 0.20/0.52 thf(c_0_75, negated_conjecture, (c @ (esk11_1 @ esk17_0) @ paris), inference(spm,[status(thm)],[c_0_47, c_0_74])). 0.20/0.52 thf(c_0_76, plain, ![X18:reg, X3:$i, X14:$i]:((~((c @ (esk11_1 @ X18) @ france))|~((c @ (esk10_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.20/0.52 thf(c_0_77, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk11_1 @ esk17_0) @ france)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_50, c_0_75])). 0.20/0.52 thf(c_0_78, negated_conjecture, ![X3:$i, X14:$i]:((~((c @ (esk11_1 @ esk17_0) @ france))|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_76, c_0_72])). 0.20/0.52 thf(c_0_79, negated_conjecture, (c @ (esk11_1 @ esk17_0) @ france), inference(spm,[status(thm)],[c_0_77, c_0_53])). 0.20/0.52 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])])). 0.20/0.52 thf(c_0_81, plain, ($false), inference(sr,[status(thm)],[c_0_44, c_0_80]), ['proof']). 0.20/0.52 # SZS output end CNFRefutation 0.20/0.52 # Parsed axioms : 98 0.20/0.52 # Removed by relevancy pruning/SinE : 0 0.20/0.52 # Initial clauses : 85 0.20/0.52 # Removed in clause preprocessing : 49 0.20/0.52 # Initial clauses in saturation : 36 0.20/0.52 # Processed clauses : 353 0.20/0.52 # ...of these trivial : 10 0.20/0.52 # ...subsumed : 35 0.20/0.52 # ...remaining for further processing : 308 0.20/0.52 # Other redundant clauses eliminated : 0 0.20/0.52 # Clauses deleted for lack of memory : 0 0.20/0.52 # Backward-subsumed : 56 0.20/0.52 # Backward-rewritten : 64 0.20/0.52 # Generated clauses : 668 0.20/0.52 # ...of the previous two non-redundant : 607 0.20/0.52 # ...aggressively subsumed : 0 0.20/0.52 # Contextual simplify-reflections : 9 0.20/0.52 # Paramodulations : 660 0.20/0.52 # Factorizations : 0 0.20/0.52 # NegExts : 0 0.20/0.52 # Equation resolutions : 0 0.20/0.52 # Total rewrite steps : 137 0.20/0.52 # Propositional unsat checks : 0 0.20/0.52 # Propositional check models : 0 0.20/0.52 # Propositional check unsatisfiable : 0 0.20/0.52 # Propositional clauses : 0 0.20/0.52 # Propositional clauses after purity: 0 0.20/0.52 # Propositional unsat core size : 0 0.20/0.52 # Propositional preprocessing time : 0.000 0.20/0.52 # Propositional encoding time : 0.000 0.20/0.52 # Propositional solver time : 0.000 0.20/0.52 # Success case prop preproc time : 0.000 0.20/0.52 # Success case prop encoding time : 0.000 0.20/0.52 # Success case prop solver time : 0.000 0.20/0.52 # Current number of processed clauses : 144 0.20/0.52 # Positive orientable unit clauses : 87 0.20/0.52 # Positive unorientable unit clauses: 0 0.20/0.52 # Negative unit clauses : 3 0.20/0.52 # Non-unit-clauses : 54 0.20/0.52 # Current number of unprocessed clauses: 267 0.20/0.52 # ...number of literals in the above : 1240 0.20/0.52 # Current number of archived formulas : 0 0.20/0.52 # Current number of archived clauses : 164 0.20/0.52 # Clause-clause subsumption calls (NU) : 10112 0.20/0.52 # Rec. Clause-clause subsumption calls : 5714 0.20/0.52 # Non-unit clause-clause subsumptions : 57 0.20/0.52 # Unit Clause-clause subsumption calls : 1827 0.20/0.52 # Rewrite failures with RHS unbound : 0 0.20/0.52 # BW rewrite match attempts : 58 0.20/0.52 # BW rewrite match successes : 43 0.20/0.52 # Condensation attempts : 0 0.20/0.52 # Condensation successes : 0 0.20/0.52 # Termbank termtop insertions : 15817 0.20/0.52 0.20/0.52 # ------------------------------------------------- 0.20/0.52 # User time : 0.035 s 0.20/0.52 # System time : 0.005 s 0.20/0.52 # Total time : 0.040 s 0.20/0.52 # Maximum resident set size: 2304 pages 0.20/0.52 0.20/0.52 # ------------------------------------------------- 0.20/0.52 # User time : 0.131 s 0.20/0.52 # System time : 0.012 s 0.20/0.52 # Total time : 0.143 s 0.20/0.52 # Maximum resident set size: 1824 pages 0.20/0.52 % E---3.1 exiting 0.20/0.53 EOF