0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E %s %d THM 0.12/0.33 % Computer : n006.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 07:50:24 EDT 2024 0.12/0.33 % CPUTime : 0.19/0.47 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=180 /export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p 0.45/0.54 # Version: 3.2.0-ho 0.45/0.54 # Preprocessing class: HSMSSMSSMLLNHSN. 0.45/0.54 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.45/0.54 # Starting new_ho_10_cnf2 with 900s (5) cores 0.45/0.54 # Starting post_as_ho3 with 180s (1) cores 0.45/0.54 # Starting new_ho_12 with 180s (1) cores 0.45/0.54 # Starting new_bool_2 with 180s (1) cores 0.45/0.54 # new_bool_2 with pid 29370 completed with status 0 0.45/0.54 # Result found by new_bool_2 0.45/0.54 # Preprocessing class: HSMSSMSSMLLNHSN. 0.45/0.54 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.45/0.54 # Starting new_ho_10_cnf2 with 900s (5) cores 0.45/0.54 # Starting post_as_ho3 with 180s (1) cores 0.45/0.54 # Starting new_ho_12 with 180s (1) cores 0.45/0.54 # Starting new_bool_2 with 180s (1) cores 0.45/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.45/0.54 # Search class: HGHNF-FFMS21-SHSSMSBN 0.45/0.54 # partial match(1): HGHNF-FFMF21-SHSSMSBN 0.45/0.54 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.45/0.54 # Starting new_ho_9 with 98s (1) cores 0.45/0.54 # new_ho_9 with pid 29373 completed with status 0 0.45/0.54 # Result found by new_ho_9 0.45/0.54 # Preprocessing class: HSMSSMSSMLLNHSN. 0.45/0.54 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.45/0.54 # Starting new_ho_10_cnf2 with 900s (5) cores 0.45/0.54 # Starting post_as_ho3 with 180s (1) cores 0.45/0.54 # Starting new_ho_12 with 180s (1) cores 0.45/0.54 # Starting new_bool_2 with 180s (1) cores 0.45/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.45/0.54 # Search class: HGHNF-FFMS21-SHSSMSBN 0.45/0.54 # partial match(1): HGHNF-FFMF21-SHSSMSBN 0.45/0.54 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.45/0.54 # Starting new_ho_9 with 98s (1) cores 0.45/0.54 # Preprocessing time : 0.003 s 0.45/0.54 # Presaturation interreduction done 0.45/0.54 0.45/0.54 # Proof found! 0.45/0.54 # SZS status Theorem 0.45/0.54 # SZS output start CNFRefutation 0.45/0.54 thf(decl_sort1, type, reg: $tType). 0.45/0.54 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 0.45/0.54 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.45/0.54 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.45/0.54 thf(decl_32, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.45/0.54 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.45/0.54 thf(decl_49, type, mvalid: ($i > $o) > $o). 0.45/0.54 thf(decl_53, type, c: reg > reg > $o). 0.45/0.54 thf(decl_55, type, p: reg > reg > $o). 0.45/0.54 thf(decl_57, type, o: reg > reg > $o). 0.45/0.54 thf(decl_58, type, po: reg > reg > $o). 0.45/0.54 thf(decl_59, type, ec: reg > reg > $o). 0.45/0.54 thf(decl_60, type, pp: reg > reg > $o). 0.45/0.54 thf(decl_61, type, tpp: reg > reg > $o). 0.45/0.54 thf(decl_62, type, ntpp: reg > reg > $o). 0.45/0.54 thf(decl_63, type, catalunya: reg). 0.45/0.54 thf(decl_64, type, france: reg). 0.45/0.54 thf(decl_65, type, spain: reg). 0.45/0.54 thf(decl_66, type, paris: reg). 0.45/0.54 thf(decl_67, type, a: $i > $i > $o). 0.45/0.54 thf(decl_68, type, fool: $i > $i > $o). 0.45/0.54 thf(decl_69, type, esk1_0: $i). 0.45/0.54 thf(decl_70, type, esk2_0: $i). 0.45/0.54 thf(decl_71, type, esk3_0: reg). 0.45/0.54 thf(decl_72, type, esk4_0: reg). 0.45/0.54 thf(decl_73, type, esk5_0: reg). 0.45/0.54 thf(decl_74, type, esk6_0: reg). 0.45/0.54 thf(decl_75, type, esk7_1: reg > reg). 0.45/0.54 thf(decl_76, type, esk8_1: reg > reg). 0.45/0.54 thf(decl_77, type, esk9_0: reg). 0.45/0.54 thf(decl_78, type, esk10_0: reg). 0.45/0.54 thf(decl_79, type, esk11_1: reg > reg). 0.45/0.54 thf(decl_80, type, esk12_1: reg > reg). 0.45/0.54 thf(decl_81, type, esk13_1: reg > reg). 0.45/0.54 thf(decl_82, type, esk14_1: reg > reg). 0.45/0.54 thf(decl_84, type, esk16_1: reg > reg). 0.45/0.54 thf(decl_85, type, esk17_1: reg > reg). 0.45/0.54 thf(decl_87, type, esk19_2: $i > ($i > $o) > $i). 0.45/0.54 thf(decl_92, type, epred5_0: $o). 0.45/0.54 thf(decl_93, type, epred6_0: $o). 0.45/0.54 thf(decl_94, type, epred7_0: $o). 0.45/0.54 thf(decl_95, type, epred8_0: $o). 0.45/0.54 thf(decl_96, type, epred9_0: $o). 0.45/0.54 thf(decl_97, type, epred10_0: $o). 0.45/0.54 thf(decl_106, type, epred19_0: $o). 0.45/0.54 thf(decl_107, type, epred20_0: $o). 0.45/0.54 thf(decl_108, type, epred21_0: $o). 0.45/0.54 thf(decl_109, type, epred22_0: $o). 0.45/0.54 thf(decl_114, type, epred27_0: $o). 0.45/0.54 thf(decl_115, type, epred28_0: $o). 0.45/0.54 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:(((p @ X22 @ X25)&(p @ X22 @ X26)))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', o)). 0.45/0.54 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:(((c @ X22 @ X20)=>(c @ X22 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', p)). 0.45/0.54 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:(((p @ X31 @ X32)&~((p @ X32 @ X31)))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', pp)). 0.45/0.54 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:(((c @ X29 @ X30)&~((o @ X29 @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', ec)). 0.45/0.54 thf(ntpp, axiom, ((ntpp)=(^[X35:reg, X36:reg]:(((pp @ X35 @ X36)&~(?[X22:reg]:(((ec @ X22 @ X35)&(ec @ X22 @ X36)))))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', ntpp)). 0.45/0.54 thf(po, axiom, ((po)=(^[X27:reg, X28:reg]:((((o @ X27 @ X28)&~((p @ X27 @ X28)))&~((p @ X28 @ X27)))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', po)). 0.45/0.54 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', mimplies)). 0.45/0.54 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', mnot)). 0.45/0.54 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', mor)). 0.45/0.54 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', mvalid)). 0.45/0.54 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', mbox)). 0.45/0.54 thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', mforall_prop)). 0.45/0.54 thf(tpp, axiom, ((tpp)=(^[X33:reg, X34:reg]:(((pp @ X33 @ X34)&?[X22:reg]:(((ec @ X22 @ X33)&(ec @ X22 @ X34))))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', tpp)). 0.45/0.54 thf(ax3, axiom, (mvalid @ (mbox @ a @ (^[X40:$i]:((ntpp @ paris @ france))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', ax3)). 0.45/0.54 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X44:$i]:(~((po @ catalunya @ paris)))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', con)). 0.45/0.54 thf(t_axiom_for_fool, axiom, (mvalid @ (mforall_prop @ (^[X41:$i > $o]:(mimplies @ (mbox @ fool @ X41) @ X41)))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', t_axiom_for_fool)). 0.45/0.54 thf(ax2, axiom, (mvalid @ (mbox @ fool @ (^[X42:$i]:((ec @ spain @ france))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', ax2)). 0.45/0.54 thf(ax1, axiom, (mvalid @ (mbox @ a @ (^[X43:$i]:((tpp @ catalunya @ spain))))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', ax1)). 0.45/0.54 thf(c_symmetric, axiom, ![X37:reg, X38:reg]:(((c @ X38 @ X37)<=(c @ X37 @ X38))), file('/export/starexec/sandbox/tmp/tmp.4ac5x76azl/E---3.1_29289.p', c_symmetric)). 0.45/0.54 thf(c_0_19, plain, ((o)=(^[Z0/* 19 */:reg, Z1:reg]:(?[X22:reg]:(((![X48:reg]:(((c @ X48 @ X22)=>(c @ X48 @ Z0))))&(![X49:reg]:(((c @ X49 @ X22)=>(c @ X49 @ Z1))))))))), inference(fof_simplification,[status(thm)],[o])). 0.45/0.54 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])). 0.45/0.54 thf(c_0_21, plain, ((pp)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X58:reg]:(((c @ X58 @ Z0)=>(c @ X58 @ Z1))))&~((![X59:reg]:(((c @ X59 @ Z1)=>(c @ X59 @ Z0))))))))), inference(fof_simplification,[status(thm)],[pp])). 0.45/0.54 thf(c_0_22, plain, ((ec)=(^[Z0/* 19 */:reg, Z1:reg]:(((c @ Z0 @ Z1)&~((?[X55:reg]:(((![X56:reg]:(((c @ X56 @ X55)=>(c @ X56 @ Z0))))&(![X57:reg]:(((c @ X57 @ X55)=>(c @ X57 @ Z1)))))))))))), inference(fof_simplification,[status(thm)],[ec])). 0.45/0.54 thf(c_0_23, plain, ((o)=(^[Z0/* 19 */:reg, Z1:reg]:(?[X22:reg]:(((![X48:reg]:(((c @ X48 @ X22)=>(c @ X48 @ Z0))))&(![X49:reg]:(((c @ X49 @ X22)=>(c @ X49 @ Z1))))))))), inference(apply_def,[status(thm)],[c_0_19, c_0_20])). 0.45/0.54 thf(c_0_24, plain, ((ntpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X68:reg]:(((c @ X68 @ Z0)=>(c @ X68 @ Z1))))&~((![X69:reg]:(((c @ X69 @ Z1)=>(c @ X69 @ Z0)))))))&~(?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X70:reg]:(((![X71:reg]:(((c @ X71 @ X70)=>(c @ X71 @ X22))))&(![X72:reg]:(((c @ X72 @ X70)=>(c @ X72 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X73:reg]:(((![X74:reg]:(((c @ X74 @ X73)=>(c @ X74 @ X22))))&(![X75:reg]:(((c @ X75 @ X73)=>(c @ X75 @ Z1))))))))))))))))), inference(fof_simplification,[status(thm)],[ntpp])). 0.45/0.54 thf(c_0_25, plain, ((pp)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X58:reg]:(((c @ X58 @ Z0)=>(c @ X58 @ Z1))))&~((![X59:reg]:(((c @ X59 @ Z1)=>(c @ X59 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_21, c_0_20])). 0.45/0.54 thf(c_0_26, plain, ((ec)=(^[Z0/* 19 */:reg, Z1:reg]:(((c @ Z0 @ Z1)&~((?[X55:reg]:(((![X56:reg]:(((c @ X56 @ X55)=>(c @ X56 @ Z0))))&(![X57:reg]:(((c @ X57 @ X55)=>(c @ X57 @ Z1)))))))))))), inference(apply_def,[status(thm)],[c_0_22, c_0_23])). 0.45/0.54 thf(c_0_27, plain, ((po)=(^[Z0/* 19 */:reg, Z1:reg]:((((?[X50:reg]:(((![X51:reg]:(((c @ X51 @ X50)=>(c @ X51 @ Z0))))&(![X52:reg]:(((c @ X52 @ X50)=>(c @ X52 @ Z1)))))))&~((![X53:reg]:(((c @ X53 @ Z0)=>(c @ X53 @ Z1))))))&~((![X54:reg]:(((c @ X54 @ Z1)=>(c @ X54 @ Z0))))))))), inference(fof_simplification,[status(thm)],[po])). 0.45/0.54 thf(c_0_28, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.45/0.54 thf(c_0_29, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.45/0.54 thf(c_0_30, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.45/0.54 thf(c_0_31, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.45/0.54 thf(c_0_32, plain, ((ntpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X68:reg]:(((c @ X68 @ Z0)=>(c @ X68 @ Z1))))&~((![X69:reg]:(((c @ X69 @ Z1)=>(c @ X69 @ Z0)))))))&~(?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X70:reg]:(((![X71:reg]:(((c @ X71 @ X70)=>(c @ X71 @ X22))))&(![X72:reg]:(((c @ X72 @ X70)=>(c @ X72 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X73:reg]:(((![X74:reg]:(((c @ X74 @ X73)=>(c @ X74 @ X22))))&(![X75:reg]:(((c @ X75 @ X73)=>(c @ X75 @ Z1))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_24, c_0_25]), c_0_26])). 0.45/0.54 thf(c_0_33, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.45/0.54 thf(c_0_34, plain, ((po)=(^[Z0/* 19 */:reg, Z1:reg]:((((?[X50:reg]:(((![X51:reg]:(((c @ X51 @ X50)=>(c @ X51 @ Z0))))&(![X52:reg]:(((c @ X52 @ X50)=>(c @ X52 @ Z1)))))))&~((![X53:reg]:(((c @ X53 @ Z0)=>(c @ X53 @ Z1))))))&~((![X54:reg]:(((c @ X54 @ Z1)=>(c @ X54 @ Z0))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27, c_0_23]), c_0_20])). 0.45/0.54 thf(c_0_35, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_28, c_0_29]), c_0_30])). 0.45/0.54 thf(c_0_36, plain, ((mforall_prop)=(^[Z0/* 19 */:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])). 0.45/0.54 thf(c_0_37, plain, ((tpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X60:reg]:(((c @ X60 @ Z0)=>(c @ X60 @ Z1))))&~((![X61:reg]:(((c @ X61 @ Z1)=>(c @ X61 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X62:reg]:(((![X63:reg]:(((c @ X63 @ X62)=>(c @ X63 @ X22))))&(![X64:reg]:(((c @ X64 @ X62)=>(c @ X64 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X65:reg]:(((![X66:reg]:(((c @ X66 @ X65)=>(c @ X66 @ X22))))&(![X67:reg]:(((c @ X67 @ X65)=>(c @ X67 @ Z1)))))))))))))))), inference(fof_simplification,[status(thm)],[tpp])). 0.45/0.54 thf(c_0_38, plain, ![X93:$i, X92:$i]:((~(a @ X93 @ X92)|((![X83:reg]:(((c @ X83 @ paris)=>(c @ X83 @ france)))&~(![X84:reg]:(((c @ X84 @ france)=>(c @ X84 @ paris)))))&~(?[X85:reg]:((((c @ X85 @ paris)&~(?[X86:reg]:((![X87:reg]:(((c @ X87 @ X86)=>(c @ X87 @ X85)))&![X88:reg]:(((c @ X88 @ X86)=>(c @ X88 @ paris)))))))&((c @ X85 @ france)&~(?[X89:reg]:((![X90:reg]:(((c @ X90 @ X89)=>(c @ X90 @ X85)))&![X91:reg]:(((c @ X91 @ X89)=>(c @ X91 @ france))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax3]), c_0_31]), c_0_32]), c_0_33])])). 0.45/0.54 thf(c_0_39, negated_conjecture, ~(![X82:$i, X81:$i]:((~(a @ X82 @ X81)|~(((?[X76:reg]:((![X77:reg]:(((c @ X77 @ X76)=>(c @ X77 @ catalunya)))&![X78:reg]:(((c @ X78 @ X76)=>(c @ X78 @ paris)))))&~(![X79:reg]:(((c @ X79 @ catalunya)=>(c @ X79 @ paris)))))&~(![X80:reg]:(((c @ X80 @ paris)=>(c @ X80 @ catalunya))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]), c_0_31]), c_0_34]), c_0_33])])). 0.45/0.54 thf(c_0_40, plain, ![X121:$i, X120:$i > $o]:((~(![X119:$i]:((~(fool @ X121 @ X119)|(X120 @ X119))))|(X120 @ X121))), 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_31]), c_0_35]), c_0_36]), c_0_33])])). 0.45/0.54 thf(c_0_41, plain, ((tpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X60:reg]:(((c @ X60 @ Z0)=>(c @ X60 @ Z1))))&~((![X61:reg]:(((c @ X61 @ Z1)=>(c @ X61 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X62:reg]:(((![X63:reg]:(((c @ X63 @ X62)=>(c @ X63 @ X22))))&(![X64:reg]:(((c @ X64 @ X62)=>(c @ X64 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X65:reg]:(((![X66:reg]:(((c @ X66 @ X65)=>(c @ X66 @ X22))))&(![X67:reg]:(((c @ X67 @ X65)=>(c @ X67 @ Z1)))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_37, c_0_25]), c_0_26])). 0.45/0.54 thf(c_0_42, plain, ![X129:$i, X130:$i, X131:reg, X133:reg, X135:reg, X136:reg, X138:reg, X139:reg]:((((~(c @ X131 @ paris)|(c @ X131 @ france)|~(a @ X129 @ X130))&(((c @ esk6_0 @ france)|~(a @ X129 @ X130))&(~(c @ esk6_0 @ paris)|~(a @ X129 @ X130))))&(((~(c @ X138 @ (esk8_1 @ X133))|(c @ X138 @ X133)|~(c @ X133 @ france)|(~(c @ X135 @ (esk7_1 @ X133))|(c @ X135 @ X133)|~(c @ X133 @ paris))|~(a @ X129 @ X130))&(~(c @ X139 @ (esk8_1 @ X133))|(c @ X139 @ france)|~(c @ X133 @ france)|(~(c @ X135 @ (esk7_1 @ X133))|(c @ X135 @ X133)|~(c @ X133 @ paris))|~(a @ X129 @ X130)))&((~(c @ X138 @ (esk8_1 @ X133))|(c @ X138 @ X133)|~(c @ X133 @ france)|(~(c @ X136 @ (esk7_1 @ X133))|(c @ X136 @ paris)|~(c @ X133 @ paris))|~(a @ X129 @ X130))&(~(c @ X139 @ (esk8_1 @ X133))|(c @ X139 @ france)|~(c @ X133 @ france)|(~(c @ X136 @ (esk7_1 @ X133))|(c @ X136 @ paris)|~(c @ X133 @ paris))|~(a @ X129 @ X130)))))), 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_38])])])])])])). 0.45/0.54 thf(c_0_43, plain, (~((epred8_0))<=>![X3:$i, X14:$i]:(~((a @ X3 @ X14)))), introduced(definition)). 0.45/0.54 thf(c_0_44, negated_conjecture, ![X125:reg, X126:reg]:(((a @ esk1_0 @ esk2_0)&((((~(c @ X125 @ esk3_0)|(c @ X125 @ catalunya))&(~(c @ X126 @ esk3_0)|(c @ X126 @ paris)))&((c @ esk4_0 @ catalunya)&~(c @ esk4_0 @ paris)))&((c @ esk5_0 @ paris)&~(c @ esk5_0 @ catalunya))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])). 0.45/0.54 thf(c_0_45, plain, ![X113:$i, X112:$i]:((~(fool @ X113 @ X112)|((c @ spain @ france)&~(?[X109:reg]:((![X110:reg]:(((c @ X110 @ X109)=>(c @ X110 @ spain)))&![X111:reg]:(((c @ X111 @ X109)=>(c @ X111 @ 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_31]), c_0_26]), c_0_33])])). 0.45/0.54 thf(c_0_46, plain, (~((epred6_0))<=>![X3:$i, X14:$i]:(~((fool @ X3 @ X14)))), introduced(definition)). 0.45/0.54 thf(c_0_47, plain, ![X165:$i, X166:$i > $o]:((((fool @ X165 @ (esk19_2 @ X165 @ X166))|(X166 @ X165))&(~(X166 @ (esk19_2 @ X165 @ X166))|(X166 @ X165)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])). 0.45/0.54 thf(c_0_48, plain, ![X104:$i, X103:$i]:((~(a @ X104 @ X103)|((![X94:reg]:(((c @ X94 @ catalunya)=>(c @ X94 @ spain)))&~(![X95:reg]:(((c @ X95 @ spain)=>(c @ X95 @ catalunya)))))&?[X96:reg]:((((c @ X96 @ catalunya)&~(?[X97:reg]:((![X98:reg]:(((c @ X98 @ X97)=>(c @ X98 @ X96)))&![X99:reg]:(((c @ X99 @ X97)=>(c @ X99 @ catalunya)))))))&((c @ X96 @ spain)&~(?[X100:reg]:((![X101:reg]:(((c @ X101 @ X100)=>(c @ X101 @ X96)))&![X102:reg]:(((c @ X102 @ X100)=>(c @ X102 @ spain)))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax1]), c_0_31]), c_0_41]), c_0_33])])). 0.45/0.54 thf(c_0_49, plain, (~((epred22_0))<=>![X3:$i, X14:$i]:(~((fool @ X3 @ X14)))), introduced(definition)). 0.45/0.54 thf(c_0_50, plain, (~((epred7_0))<=>![X18:reg]:(((c @ X18 @ france)|~((c @ X18 @ paris))))), introduced(definition)). 0.45/0.54 thf(c_0_51, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_42])). 0.45/0.54 thf(c_0_52, plain, ![X3:$i, X14:$i]:(((epred8_0)|~((a @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_43])). 0.45/0.54 thf(c_0_53, negated_conjecture, (a @ esk1_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_44])). 0.45/0.54 thf(c_0_54, plain, ![X155:$i, X156:$i, X157:reg]:((((c @ spain @ france)|~(fool @ X155 @ X156))&((((c @ (esk17_1 @ X157) @ X157)|(c @ (esk16_1 @ X157) @ X157)|~(fool @ X155 @ X156))&(~(c @ (esk17_1 @ X157) @ france)|(c @ (esk16_1 @ X157) @ X157)|~(fool @ X155 @ X156)))&(((c @ (esk17_1 @ X157) @ X157)|~(c @ (esk16_1 @ X157) @ spain)|~(fool @ X155 @ X156))&(~(c @ (esk17_1 @ X157) @ france)|~(c @ (esk16_1 @ X157) @ spain)|~(fool @ X155 @ X156)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])])])])). 0.45/0.54 thf(c_0_55, plain, ![X3:$i, X14:$i]:(((epred6_0)|~((fool @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_46])). 0.45/0.54 thf(c_0_56, plain, ![X4:$i > $o, X3:$i]:(((fool @ X3 @ (esk19_2 @ X3 @ X4))|(X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.45/0.54 thf(c_0_57, plain, ![X140:$i, X141:$i, X142:reg, X145:reg, X148:reg]:((((~(c @ X142 @ catalunya)|(c @ X142 @ spain)|~(a @ X140 @ X141))&(((c @ esk9_0 @ spain)|~(a @ X140 @ X141))&(~(c @ esk9_0 @ catalunya)|~(a @ X140 @ X141))))&((((c @ esk10_0 @ catalunya)|~(a @ X140 @ X141))&((((c @ (esk12_1 @ X145) @ X145)|(c @ (esk11_1 @ X145) @ X145)|~(a @ X140 @ X141))&(~(c @ (esk12_1 @ X145) @ catalunya)|(c @ (esk11_1 @ X145) @ X145)|~(a @ X140 @ X141)))&(((c @ (esk12_1 @ X145) @ X145)|~(c @ (esk11_1 @ X145) @ esk10_0)|~(a @ X140 @ X141))&(~(c @ (esk12_1 @ X145) @ catalunya)|~(c @ (esk11_1 @ X145) @ esk10_0)|~(a @ X140 @ X141)))))&(((c @ esk10_0 @ spain)|~(a @ X140 @ X141))&((((c @ (esk14_1 @ X148) @ X148)|(c @ (esk13_1 @ X148) @ X148)|~(a @ X140 @ X141))&(~(c @ (esk14_1 @ X148) @ spain)|(c @ (esk13_1 @ X148) @ X148)|~(a @ X140 @ X141)))&(((c @ (esk14_1 @ X148) @ X148)|~(c @ (esk13_1 @ X148) @ esk10_0)|~(a @ X140 @ X141))&(~(c @ (esk14_1 @ X148) @ spain)|~(c @ (esk13_1 @ X148) @ esk10_0)|~(a @ X140 @ X141)))))))), 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_48])])])])])])). 0.45/0.54 thf(c_0_58, plain, (~((epred10_0))<=>![X3:$i, X14:$i]:(~((a @ X3 @ X14)))), introduced(definition)). 0.45/0.54 thf(c_0_59, plain, ![X3:$i, X14:$i]:(((epred22_0)|~((fool @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_49])). 0.45/0.54 thf(c_0_60, plain, (~((epred28_0))<=>![X3:$i, X14:$i]:(~((fool @ X3 @ X14)))), introduced(definition)). 0.45/0.54 thf(c_0_61, plain, ![X37:reg, X38:reg]:(((c @ X37 @ X38)=>(c @ X38 @ X37))), inference(fof_simplification,[status(thm)],[c_symmetric])). 0.45/0.54 thf(c_0_62, plain, (~((epred20_0))<=>![X3:$i, X14:$i]:(~((fool @ X3 @ X14)))), introduced(definition)). 0.45/0.54 thf(c_0_63, plain, (~((epred8_0))|~((epred7_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_51, c_0_50]), c_0_43])). 0.45/0.54 thf(c_0_64, negated_conjecture, (epred8_0), inference(spm,[status(thm)],[c_0_52, c_0_53])). 0.45/0.54 thf(c_0_65, plain, (~((epred5_0))<=>![X18:reg]:((~((c @ (esk17_1 @ X18) @ france))|~((c @ (esk16_1 @ X18) @ spain))))), introduced(definition)). 0.45/0.54 thf(c_0_66, plain, ![X18:reg, X3:$i, X14:$i]:((~((c @ (esk17_1 @ X18) @ france))|~((c @ (esk16_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_54])). 0.45/0.54 thf(c_0_67, plain, ![X4:$i > $o, X3:$i]:(((X4 @ X3)|(epred6_0))), inference(spm,[status(thm)],[c_0_55, c_0_56])). 0.45/0.54 thf(c_0_68, plain, (~((epred9_0))<=>![X18:reg]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya))))), introduced(definition)). 0.45/0.54 thf(c_0_69, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_57])). 0.45/0.54 thf(c_0_70, plain, ![X3:$i, X14:$i]:(((epred10_0)|~((a @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_58])). 0.45/0.54 thf(c_0_71, plain, (~((epred21_0))<=>![X18:reg]:(((c @ (esk17_1 @ X18) @ X18)|~((c @ (esk16_1 @ X18) @ spain))))), introduced(definition)). 0.45/0.54 thf(c_0_72, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk17_1 @ X18) @ X18)|~((c @ (esk16_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_54])). 0.45/0.54 thf(c_0_73, plain, ![X4:$i > $o, X3:$i]:(((X4 @ X3)|(epred22_0))), inference(spm,[status(thm)],[c_0_59, c_0_56])). 0.45/0.54 thf(c_0_74, plain, ![X3:$i, X14:$i]:(((epred28_0)|~((fool @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_60])). 0.45/0.54 thf(c_0_75, plain, ![X168:reg, X169:reg]:((~(c @ X168 @ X169)|(c @ X169 @ X168))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])). 0.45/0.54 thf(c_0_76, plain, ![X3:$i, X14:$i]:(((epred20_0)|~((fool @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_62])). 0.45/0.54 thf(c_0_77, plain, ![X18:reg]:(((c @ X18 @ france)|(epred7_0)|~((c @ X18 @ paris)))), inference(split_equiv,[status(thm)],[c_0_50])). 0.45/0.54 thf(c_0_78, plain, ~((epred7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_64])])). 0.45/0.54 thf(c_0_79, plain, (~((epred6_0))|~((epred5_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_66, c_0_65]), c_0_46])). 0.45/0.54 thf(c_0_80, plain, (epred6_0), inference(spm,[status(thm)],[c_0_55, c_0_67])). 0.45/0.54 thf(c_0_81, plain, (~((epred10_0))|~((epred9_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_69, c_0_68]), c_0_58])). 0.45/0.54 thf(c_0_82, negated_conjecture, (epred10_0), inference(spm,[status(thm)],[c_0_70, c_0_53])). 0.45/0.54 thf(c_0_83, plain, (~((epred22_0))|~((epred21_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_72, c_0_71]), c_0_49])). 0.45/0.54 thf(c_0_84, plain, (epred22_0), inference(spm,[status(thm)],[c_0_59, c_0_73])). 0.45/0.54 thf(c_0_85, plain, (~((epred27_0))<=>![X18:reg]:(((c @ (esk16_1 @ X18) @ X18)|~((c @ (esk17_1 @ X18) @ france))))), introduced(definition)). 0.45/0.54 thf(c_0_86, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk16_1 @ X18) @ X18)|~((c @ (esk17_1 @ X18) @ france))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_54])). 0.45/0.54 thf(c_0_87, plain, ![X4:$i > $o, X3:$i]:(((X4 @ X3)|(epred28_0))), inference(spm,[status(thm)],[c_0_74, c_0_56])). 0.45/0.54 thf(c_0_88, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|~((c @ X18 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_44])). 0.45/0.54 thf(c_0_89, plain, ![X18:reg, X19:reg]:(((c @ X19 @ X18)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_75])). 0.45/0.54 thf(c_0_90, plain, (~((epred19_0))<=>![X18:reg]:(((c @ (esk16_1 @ X18) @ X18)|(c @ (esk17_1 @ X18) @ X18)))), introduced(definition)). 0.45/0.54 thf(c_0_91, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk17_1 @ X18) @ X18)|(c @ (esk16_1 @ X18) @ X18)|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_54])). 0.45/0.54 thf(c_0_92, plain, ![X4:$i > $o, X3:$i]:(((X4 @ X3)|(epred20_0))), inference(spm,[status(thm)],[c_0_76, c_0_56])). 0.45/0.54 thf(c_0_93, plain, ![X18:reg]:(((epred5_0)|~((c @ (esk17_1 @ X18) @ france))|~((c @ (esk16_1 @ X18) @ spain)))), inference(split_equiv,[status(thm)],[c_0_65])). 0.45/0.54 thf(c_0_94, plain, ![X18:reg]:(((c @ X18 @ france)|~((c @ X18 @ paris)))), inference(sr,[status(thm)],[c_0_77, c_0_78])). 0.45/0.54 thf(c_0_95, plain, ~((epred5_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79, c_0_80])])). 0.45/0.54 thf(c_0_96, plain, ![X18:reg]:(((c @ X18 @ spain)|(epred9_0)|~((c @ X18 @ catalunya)))), inference(split_equiv,[status(thm)],[c_0_68])). 0.45/0.54 thf(c_0_97, plain, ~((epred9_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81, c_0_82])])). 0.45/0.54 thf(c_0_98, plain, ![X18:reg]:(((c @ (esk17_1 @ X18) @ X18)|(epred21_0)|~((c @ (esk16_1 @ X18) @ spain)))), inference(split_equiv,[status(thm)],[c_0_71])). 0.45/0.54 thf(c_0_99, plain, ~((epred21_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83, c_0_84])])). 0.45/0.54 thf(c_0_100, plain, (~((epred28_0))|~((epred27_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_86, c_0_85]), c_0_60])). 0.45/0.54 thf(c_0_101, plain, (epred28_0), inference(spm,[status(thm)],[c_0_74, c_0_87])). 0.45/0.54 thf(c_0_102, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|~((c @ esk3_0 @ X18)))), inference(spm,[status(thm)],[c_0_88, c_0_89])). 0.45/0.54 thf(c_0_103, plain, (~((epred20_0))|~((epred19_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_91, c_0_90]), c_0_62])). 0.45/0.54 thf(c_0_104, plain, (epred20_0), inference(spm,[status(thm)],[c_0_76, c_0_92])). 0.45/0.54 thf(c_0_105, plain, ![X18:reg]:((~((c @ (esk16_1 @ X18) @ spain))|~((c @ (esk17_1 @ X18) @ paris)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_94]), c_0_95])). 0.45/0.54 thf(c_0_106, plain, ![X18:reg]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya)))), inference(sr,[status(thm)],[c_0_96, c_0_97])). 0.45/0.54 thf(c_0_107, plain, ![X18:reg]:(((c @ (esk17_1 @ X18) @ X18)|~((c @ (esk16_1 @ X18) @ spain)))), inference(sr,[status(thm)],[c_0_98, c_0_99])). 0.45/0.54 thf(c_0_108, plain, ![X18:reg]:(((c @ (esk16_1 @ X18) @ X18)|(epred27_0)|~((c @ (esk17_1 @ X18) @ france)))), inference(split_equiv,[status(thm)],[c_0_85])). 0.45/0.54 thf(c_0_109, plain, ~((epred27_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100, c_0_101])])). 0.45/0.54 thf(c_0_110, negated_conjecture, ![X18:reg]:(((c @ paris @ X18)|~((c @ esk3_0 @ X18)))), inference(spm,[status(thm)],[c_0_89, c_0_102])). 0.45/0.54 thf(c_0_111, plain, ![X18:reg]:(((c @ (esk17_1 @ X18) @ X18)|(c @ (esk16_1 @ X18) @ X18)|(epred19_0))), inference(split_equiv,[status(thm)],[c_0_90])). 0.45/0.54 thf(c_0_112, plain, ~((epred19_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103, c_0_104])])). 0.45/0.54 thf(c_0_113, plain, ![X18:reg]:((~((c @ (esk17_1 @ X18) @ paris))|~((c @ (esk16_1 @ X18) @ catalunya)))), inference(spm,[status(thm)],[c_0_105, c_0_106])). 0.45/0.54 thf(c_0_114, negated_conjecture, ((c @ (esk17_1 @ esk3_0) @ paris)|~((c @ (esk16_1 @ esk3_0) @ spain))), inference(spm,[status(thm)],[c_0_88, c_0_107])). 0.45/0.54 thf(c_0_115, negated_conjecture, ![X18:reg]:(((c @ X18 @ catalunya)|~((c @ X18 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_44])). 0.45/0.54 thf(c_0_116, plain, ![X18:reg]:(((c @ (esk16_1 @ X18) @ X18)|~((c @ (esk17_1 @ X18) @ france)))), inference(sr,[status(thm)],[c_0_108, c_0_109])). 0.45/0.54 thf(c_0_117, negated_conjecture, ![X18:reg]:(((c @ paris @ X18)|~((c @ X18 @ esk3_0)))), inference(spm,[status(thm)],[c_0_110, c_0_89])). 0.45/0.54 thf(c_0_118, plain, ![X18:reg]:(((c @ (esk16_1 @ X18) @ X18)|(c @ (esk17_1 @ X18) @ X18))), inference(sr,[status(thm)],[c_0_111, c_0_112])). 0.45/0.54 thf(c_0_119, negated_conjecture, ~((c @ (esk16_1 @ esk3_0) @ catalunya)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113, c_0_114]), c_0_106])). 0.45/0.54 thf(c_0_120, negated_conjecture, ![X18:reg]:(((c @ X18 @ catalunya)|~((c @ esk3_0 @ X18)))), inference(spm,[status(thm)],[c_0_115, c_0_89])). 0.45/0.54 thf(c_0_121, plain, ![X18:reg]:(((c @ (esk16_1 @ X18) @ X18)|~((c @ france @ (esk17_1 @ X18))))), inference(spm,[status(thm)],[c_0_116, c_0_89])). 0.45/0.54 thf(c_0_122, plain, ![X18:reg]:(((c @ france @ X18)|~((c @ X18 @ paris)))), inference(spm,[status(thm)],[c_0_89, c_0_94])). 0.45/0.54 thf(c_0_123, negated_conjecture, ((c @ (esk16_1 @ esk3_0) @ esk3_0)|(c @ paris @ (esk17_1 @ esk3_0))), inference(spm,[status(thm)],[c_0_117, c_0_118])). 0.45/0.54 thf(c_0_124, negated_conjecture, ~((c @ esk3_0 @ (esk16_1 @ esk3_0))), inference(spm,[status(thm)],[c_0_119, c_0_120])). 0.45/0.54 thf(c_0_125, negated_conjecture, ~((c @ france @ (esk17_1 @ esk3_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115, c_0_121]), c_0_119])). 0.45/0.54 thf(c_0_126, plain, ![X18:reg]:(((c @ france @ X18)|~((c @ paris @ X18)))), inference(spm,[status(thm)],[c_0_122, c_0_89])). 0.45/0.54 thf(c_0_127, negated_conjecture, (c @ paris @ (esk17_1 @ esk3_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_123]), c_0_124])). 0.45/0.54 thf(c_0_128, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125, c_0_126]), c_0_127])]), ['proof']). 0.45/0.54 # SZS output end CNFRefutation 0.45/0.54 # Parsed axioms : 98 0.45/0.54 # Removed by relevancy pruning/SinE : 76 0.45/0.54 # Initial clauses : 40 0.45/0.54 # Removed in clause preprocessing : 0 0.45/0.54 # Initial clauses in saturation : 40 0.45/0.54 # Processed clauses : 449 0.45/0.54 # ...of these trivial : 12 0.45/0.54 # ...subsumed : 71 0.45/0.54 # ...remaining for further processing : 366 0.45/0.54 # Other redundant clauses eliminated : 0 0.45/0.54 # Clauses deleted for lack of memory : 0 0.45/0.54 # Backward-subsumed : 0 0.45/0.54 # Backward-rewritten : 47 0.45/0.54 # Generated clauses : 709 0.45/0.54 # ...of the previous two non-redundant : 572 0.45/0.54 # ...aggressively subsumed : 0 0.45/0.54 # Contextual simplify-reflections : 12 0.45/0.54 # Paramodulations : 655 0.45/0.54 # Factorizations : 0 0.45/0.54 # NegExts : 0 0.45/0.54 # Equation resolutions : 0 0.45/0.54 # Disequality decompositions : 0 0.45/0.54 # Total rewrite steps : 265 0.45/0.54 # ...of those cached : 205 0.45/0.54 # Propositional unsat checks : 0 0.45/0.54 # Propositional check models : 0 0.45/0.54 # Propositional check unsatisfiable : 0 0.45/0.54 # Propositional clauses : 0 0.45/0.54 # Propositional clauses after purity: 0 0.45/0.54 # Propositional unsat core size : 0 0.45/0.54 # Propositional preprocessing time : 0.000 0.45/0.54 # Propositional encoding time : 0.000 0.45/0.54 # Propositional solver time : 0.000 0.45/0.54 # Success case prop preproc time : 0.000 0.45/0.54 # Success case prop encoding time : 0.000 0.45/0.54 # Success case prop solver time : 0.000 0.45/0.54 # Current number of processed clauses : 225 0.45/0.54 # Positive orientable unit clauses : 74 0.45/0.54 # Positive unorientable unit clauses: 0 0.45/0.54 # Negative unit clauses : 49 0.45/0.54 # Non-unit-clauses : 102 0.45/0.54 # Current number of unprocessed clauses: 202 0.45/0.54 # ...number of literals in the above : 599 0.45/0.54 # Current number of archived formulas : 0 0.45/0.54 # Current number of archived clauses : 123 0.45/0.54 # Clause-clause subsumption calls (NU) : 4797 0.45/0.54 # Rec. Clause-clause subsumption calls : 3243 0.45/0.54 # Non-unit clause-clause subsumptions : 55 0.45/0.54 # Unit Clause-clause subsumption calls : 1214 0.45/0.54 # Rewrite failures with RHS unbound : 0 0.45/0.54 # BW rewrite match attempts : 43 0.45/0.54 # BW rewrite match successes : 25 0.45/0.54 # Condensation attempts : 466 0.45/0.54 # Condensation successes : 0 0.45/0.54 # Termbank termtop insertions : 12599 0.45/0.54 # Search garbage collected termcells : 1783 0.45/0.54 0.45/0.54 # ------------------------------------------------- 0.45/0.54 # User time : 0.041 s 0.45/0.54 # System time : 0.003 s 0.45/0.54 # Total time : 0.045 s 0.45/0.54 # Maximum resident set size: 2344 pages 0.45/0.54 0.45/0.54 # ------------------------------------------------- 0.45/0.54 # User time : 0.045 s 0.45/0.54 # System time : 0.004 s 0.45/0.54 # Total time : 0.049 s 0.45/0.54 # Maximum resident set size: 1824 pages 0.45/0.54 % E---3.1 exiting 0.45/0.54 % E exiting 0.45/0.54 EOF