0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.11 % Command : run_E %s %d THM 0.09/0.31 % Computer : n032.cluster.edu 0.09/0.31 % Model : x86_64 x86_64 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.31 % Memory : 8042.1875MB 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.31 % CPULimit : 1440 0.09/0.31 % WCLimit : 180 0.09/0.31 % DateTime : Thu Jul 4 07:14:38 EDT 2024 0.09/0.31 % CPUTime : 0.16/0.44 Running higher-order theorem proving 0.16/0.44 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=180 /export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p 0.16/0.48 # Version: 3.2.0-ho 0.16/0.48 # Preprocessing class: HSMSSMSSMLLNHSN. 0.16/0.48 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.48 # Starting new_ho_10_cnf2 with 900s (5) cores 0.16/0.48 # Starting post_as_ho3 with 180s (1) cores 0.16/0.48 # Starting new_ho_12 with 180s (1) cores 0.16/0.48 # Starting new_bool_2 with 180s (1) cores 0.16/0.48 # new_ho_10_cnf2 with pid 25009 completed with status 0 0.16/0.48 # Result found by new_ho_10_cnf2 0.16/0.48 # Preprocessing class: HSMSSMSSMLLNHSN. 0.16/0.48 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.48 # Starting new_ho_10_cnf2 with 900s (5) cores 0.16/0.48 # No SInE strategy applied 0.16/0.48 # Search class: HGHNF-FFMF21-SHSSMSBN 0.16/0.48 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.16/0.48 # Starting new_ho_9 with 487s (1) cores 0.16/0.48 # Starting new_ho_10_cnf2 with 91s (1) cores 0.16/0.48 # Starting pre_casc_8 with 82s (1) cores 0.16/0.48 # Starting post_as_ho2 with 82s (1) cores 0.16/0.48 # Starting post_as_ho1 with 82s (1) cores 0.16/0.48 # post_as_ho1 with pid 25018 completed with status 0 0.16/0.48 # Result found by post_as_ho1 0.16/0.48 # Preprocessing class: HSMSSMSSMLLNHSN. 0.16/0.48 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.48 # Starting new_ho_10_cnf2 with 900s (5) cores 0.16/0.48 # No SInE strategy applied 0.16/0.48 # Search class: HGHNF-FFMF21-SHSSMSBN 0.16/0.48 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.16/0.48 # Starting new_ho_9 with 487s (1) cores 0.16/0.48 # Starting new_ho_10_cnf2 with 91s (1) cores 0.16/0.48 # Starting pre_casc_8 with 82s (1) cores 0.16/0.48 # Starting post_as_ho2 with 82s (1) cores 0.16/0.48 # Starting post_as_ho1 with 82s (1) cores 0.16/0.48 # Preprocessing time : 0.007 s 0.16/0.48 # Presaturation interreduction done 0.16/0.48 0.16/0.48 # Proof found! 0.16/0.48 # SZS status Theorem 0.16/0.48 # SZS output start CNFRefutation 0.16/0.48 thf(decl_sort1, type, reg: $tType). 0.16/0.48 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 0.16/0.48 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.48 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 0.16/0.48 thf(decl_32, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o). 0.16/0.48 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.16/0.48 thf(decl_49, type, mvalid: ($i > $o) > $o). 0.16/0.48 thf(decl_53, type, c: reg > reg > $o). 0.16/0.48 thf(decl_55, type, p: reg > reg > $o). 0.16/0.48 thf(decl_56, type, eq: reg > reg > $o). 0.16/0.48 thf(decl_57, type, o: reg > reg > $o). 0.16/0.48 thf(decl_59, type, ec: reg > reg > $o). 0.16/0.48 thf(decl_60, type, pp: reg > reg > $o). 0.16/0.48 thf(decl_61, type, tpp: reg > reg > $o). 0.16/0.48 thf(decl_62, type, ntpp: reg > reg > $o). 0.16/0.48 thf(decl_63, type, catalunya: reg). 0.16/0.48 thf(decl_64, type, france: reg). 0.16/0.48 thf(decl_65, type, spain: reg). 0.16/0.48 thf(decl_66, type, paris: reg). 0.16/0.48 thf(decl_67, type, a: $i > $i > $o). 0.16/0.48 thf(decl_68, type, fool: $i > $i > $o). 0.16/0.48 thf(decl_69, type, esk1_0: reg). 0.16/0.48 thf(decl_70, type, esk2_0: reg). 0.16/0.48 thf(decl_71, type, esk3_1: reg > reg). 0.16/0.48 thf(decl_72, type, esk4_1: reg > reg). 0.16/0.48 thf(decl_73, type, esk5_1: reg > reg). 0.16/0.48 thf(decl_74, type, esk6_1: reg > reg). 0.16/0.48 thf(decl_76, type, esk8_0: reg). 0.16/0.48 thf(decl_77, type, esk9_1: reg > reg). 0.16/0.48 thf(decl_78, type, esk10_1: reg > reg). 0.16/0.48 thf(decl_79, type, esk11_1: reg > reg). 0.16/0.48 thf(decl_80, type, esk12_1: reg > reg). 0.16/0.48 thf(decl_81, type, esk13_2: $i > ($i > $o) > $i). 0.16/0.48 thf(decl_82, type, esk14_0: $i). 0.16/0.48 thf(decl_83, type, esk15_0: $i). 0.16/0.48 thf(decl_84, type, esk16_2: $i > ($i > $o) > $i). 0.16/0.48 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:(((p @ X22 @ X25)&(p @ X22 @ X26)))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', o)). 0.16/0.48 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:(((c @ X22 @ X20)=>(c @ X22 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', p)). 0.16/0.48 thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', mimplies)). 0.16/0.48 thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', mnot)). 0.16/0.48 thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', mor)). 0.16/0.48 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:(((c @ X29 @ X30)&~((o @ X29 @ X30)))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', ec)). 0.16/0.48 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:(((p @ X31 @ X32)&~((p @ X32 @ X31)))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', pp)). 0.16/0.48 thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', mforall_prop)). 0.16/0.48 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', mbox)). 0.16/0.48 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', mvalid)). 0.16/0.48 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.IF74hgIVJl/E---3.1_24931.p', ntpp)). 0.16/0.48 thf(t_axiom_for_fool, axiom, (mvalid @ (mforall_prop @ (^[X41:$i > $o]:(mimplies @ (mbox @ fool @ X41) @ X41)))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', t_axiom_for_fool)). 0.16/0.48 thf(eq, axiom, ((eq)=(^[X23:reg, X24:reg]:(((p @ X23 @ X24)&(p @ X24 @ X23))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', eq)). 0.16/0.48 thf(ax2, axiom, (mvalid @ (mbox @ fool @ (^[X43:$i]:((ec @ spain @ france))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', ax2)). 0.16/0.48 thf(ax3, axiom, (mvalid @ (mbox @ a @ (^[X42:$i]:((ntpp @ paris @ france))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', ax3)). 0.16/0.48 thf(i_axiom_for_fool_a, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mbox @ fool @ X6) @ (mbox @ a @ X6))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', i_axiom_for_fool_a)). 0.16/0.48 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X44:$i]:(~((eq @ catalunya @ paris)))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', con)). 0.16/0.48 thf(tpp, axiom, ((tpp)=(^[X33:reg, X34:reg]:(((pp @ X33 @ X34)&?[X22:reg]:(((ec @ X22 @ X33)&(ec @ X22 @ X34))))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', tpp)). 0.16/0.48 thf(ax1, axiom, (mvalid @ (mbox @ a @ (^[X40:$i]:((tpp @ catalunya @ spain))))), file('/export/starexec/sandbox2/tmp/tmp.IF74hgIVJl/E---3.1_24931.p', ax1)). 0.16/0.48 thf(c_0_19, plain, ((o)=(^[Z0/* 19 */:reg, Z1:reg]:(?[X22:reg]:(((![X53:reg]:(((c @ X53 @ X22)=>(c @ X53 @ Z0))))&(![X54:reg]:(((c @ X54 @ X22)=>(c @ X54 @ Z1))))))))), inference(fof_simplification,[status(thm)],[o])). 0.16/0.48 thf(c_0_20, plain, ((p)=(^[Z0/* 19 */:reg, Z1:reg]:(![X22:reg]:(((c @ X22 @ Z0)=>(c @ X22 @ Z1)))))), inference(fof_simplification,[status(thm)],[p])). 0.16/0.48 thf(c_0_21, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 0.16/0.48 thf(c_0_22, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 0.16/0.48 thf(c_0_23, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 0.16/0.48 thf(c_0_24, 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])). 0.16/0.48 thf(c_0_25, 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_19, c_0_20])). 0.16/0.48 thf(c_0_26, 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])). 0.16/0.48 thf(c_0_27, 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_21, c_0_22]), c_0_23])). 0.16/0.48 thf(c_0_28, plain, ((mforall_prop)=(^[Z0/* 19 */:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])). 0.16/0.48 thf(c_0_29, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.16/0.48 thf(c_0_30, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.16/0.48 thf(c_0_31, 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])). 0.16/0.48 thf(c_0_32, 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_24, c_0_25])). 0.16/0.48 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_26, c_0_20])). 0.16/0.48 thf(c_0_34, plain, ![X123:$i, X122:$i > $o]:((~(![X121:$i]:((~(fool @ X123 @ X121)|(X122 @ X121))))|(X122 @ X123))), 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_27]), c_0_28]), c_0_29]), c_0_30])])). 0.16/0.48 thf(c_0_35, plain, ((eq)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X51:reg]:(((c @ X51 @ Z0)=>(c @ X51 @ Z1))))&(![X52:reg]:(((c @ X52 @ Z1)=>(c @ X52 @ Z0)))))))), inference(fof_simplification,[status(thm)],[eq])). 0.16/0.48 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_31, c_0_32]), c_0_33])). 0.16/0.48 thf(c_0_37, plain, ![X112:$i, X111:$i]:((~(fool @ X112 @ X111)|((c @ spain @ france)&~(?[X108:reg]:((![X109:reg]:(((c @ X109 @ X108)=>(c @ X109 @ spain)))&![X110:reg]:(((c @ X110 @ X108)=>(c @ X110 @ france))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax2]), c_0_29]), c_0_30]), c_0_32])])). 0.16/0.48 thf(c_0_38, plain, ![X167:$i, X168:$i > $o]:((((fool @ X167 @ (esk16_2 @ X167 @ X168))|(X168 @ X167))&(~(X168 @ (esk16_2 @ X167 @ X168))|(X168 @ X167)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])])). 0.16/0.48 thf(c_0_39, plain, ((eq)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X51:reg]:(((c @ X51 @ Z0)=>(c @ X51 @ Z1))))&(![X52:reg]:(((c @ X52 @ Z1)=>(c @ X52 @ Z0)))))))), inference(apply_def,[status(thm)],[c_0_35, c_0_20])). 0.16/0.48 thf(c_0_40, plain, ![X107:$i, X106:$i]:((~(a @ X107 @ X106)|((![X97:reg]:(((c @ X97 @ paris)=>(c @ X97 @ france)))&~(![X98:reg]:(((c @ X98 @ france)=>(c @ X98 @ paris)))))&~(?[X99:reg]:((((c @ X99 @ paris)&~(?[X100:reg]:((![X101:reg]:(((c @ X101 @ X100)=>(c @ X101 @ X99)))&![X102:reg]:(((c @ X102 @ X100)=>(c @ X102 @ paris)))))))&((c @ X99 @ france)&~(?[X103:reg]:((![X104:reg]:(((c @ X104 @ X103)=>(c @ X104 @ X99)))&![X105:reg]:(((c @ X105 @ X103)=>(c @ X105 @ france))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax3]), c_0_29]), c_0_30]), c_0_36])])). 0.16/0.48 thf(c_0_41, plain, ![X154:$i, X155:$i, X156:reg]:((((c @ spain @ france)|~(fool @ X154 @ X155))&((((c @ (esk12_1 @ X156) @ X156)|(c @ (esk11_1 @ X156) @ X156)|~(fool @ X154 @ X155))&(~(c @ (esk12_1 @ X156) @ france)|(c @ (esk11_1 @ X156) @ X156)|~(fool @ X154 @ X155)))&(((c @ (esk12_1 @ X156) @ X156)|~(c @ (esk11_1 @ X156) @ spain)|~(fool @ X154 @ X155))&(~(c @ (esk12_1 @ X156) @ france)|~(c @ (esk11_1 @ X156) @ spain)|~(fool @ X154 @ X155)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])])])])). 0.16/0.48 thf(c_0_42, plain, ![X3:$i, X4:$i > $o]:(((X4 @ X3)|~((X4 @ (esk16_2 @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.16/0.48 thf(c_0_43, plain, ![X4:$i > $o, X3:$i]:(((fool @ X3 @ (esk16_2 @ X3 @ X4))|(X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.16/0.48 thf(c_0_44, plain, ![X116:$i, X115:$i > $o]:((~(![X113:$i]:((~(fool @ X116 @ X113)|(X115 @ X113))))|![X114:$i]:((~(a @ X116 @ X114)|(X115 @ X114))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[i_axiom_for_fool_a]), c_0_27]), c_0_28]), c_0_29]), c_0_30])])). 0.16/0.48 thf(c_0_45, negated_conjecture, ~(![X120:$i, X119:$i]:((~(a @ X120 @ X119)|~((![X117:reg]:(((c @ X117 @ catalunya)=>(c @ X117 @ paris)))&![X118:reg]:(((c @ X118 @ paris)=>(c @ X118 @ catalunya)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]), c_0_29]), c_0_30]), c_0_39])])). 0.16/0.48 thf(c_0_46, plain, ((tpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X65:reg]:(((c @ X65 @ Z0)=>(c @ X65 @ Z1))))&~((![X66:reg]:(((c @ X66 @ Z1)=>(c @ X66 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X67:reg]:(((![X68:reg]:(((c @ X68 @ X67)=>(c @ X68 @ X22))))&(![X69:reg]:(((c @ X69 @ X67)=>(c @ X69 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X70:reg]:(((![X71:reg]:(((c @ X71 @ X70)=>(c @ X71 @ X22))))&(![X72:reg]:(((c @ X72 @ X70)=>(c @ X72 @ Z1)))))))))))))))), inference(fof_simplification,[status(thm)],[tpp])). 0.16/0.48 thf(c_0_47, plain, ![X143:$i, X144:$i, X145:reg, X147:reg, X149:reg, X150:reg, X152:reg, X153:reg]:((((~(c @ X145 @ paris)|(c @ X145 @ france)|~(a @ X143 @ X144))&(((c @ esk8_0 @ france)|~(a @ X143 @ X144))&(~(c @ esk8_0 @ paris)|~(a @ X143 @ X144))))&(((~(c @ X152 @ (esk10_1 @ X147))|(c @ X152 @ X147)|~(c @ X147 @ france)|(~(c @ X149 @ (esk9_1 @ X147))|(c @ X149 @ X147)|~(c @ X147 @ paris))|~(a @ X143 @ X144))&(~(c @ X153 @ (esk10_1 @ X147))|(c @ X153 @ france)|~(c @ X147 @ france)|(~(c @ X149 @ (esk9_1 @ X147))|(c @ X149 @ X147)|~(c @ X147 @ paris))|~(a @ X143 @ X144)))&((~(c @ X152 @ (esk10_1 @ X147))|(c @ X152 @ X147)|~(c @ X147 @ france)|(~(c @ X150 @ (esk9_1 @ X147))|(c @ X150 @ paris)|~(c @ X147 @ paris))|~(a @ X143 @ X144))&(~(c @ X153 @ (esk10_1 @ X147))|(c @ X153 @ france)|~(c @ X147 @ france)|(~(c @ X150 @ (esk9_1 @ X147))|(c @ X150 @ paris)|~(c @ X147 @ paris))|~(a @ X143 @ X144)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])])])])). 0.16/0.48 thf(c_0_48, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk12_1 @ X18) @ X18)|(c @ (esk11_1 @ X18) @ X18)|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.16/0.48 thf(c_0_49, plain, ![X3:$i]:((fool @ X3 @ X3)), inference(spm,[status(thm)],[c_0_42, c_0_43])). 0.16/0.48 thf(c_0_50, plain, ![X159:$i, X160:$i > $o, X162:$i]:((((fool @ X159 @ (esk13_2 @ X159 @ X160))|(~(a @ X159 @ X162)|(X160 @ X162)))&(~(X160 @ (esk13_2 @ X159 @ X160))|(~(a @ X159 @ X162)|(X160 @ X162))))), 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_44])])])])])])). 0.16/0.48 thf(c_0_51, negated_conjecture, ![X165:reg, X166:reg]:(((a @ esk14_0 @ esk15_0)&((~(c @ X165 @ catalunya)|(c @ X165 @ paris))&(~(c @ X166 @ paris)|(c @ X166 @ catalunya))))), 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])])])])])). 0.16/0.48 thf(c_0_52, 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_46, c_0_32]), c_0_33])). 0.16/0.48 thf(c_0_53, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_47])). 0.16/0.48 thf(c_0_54, plain, ![X18:reg]:(((c @ (esk12_1 @ X18) @ X18)|(c @ (esk11_1 @ X18) @ X18))), inference(spm,[status(thm)],[c_0_48, c_0_49])). 0.16/0.48 thf(c_0_55, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((fool @ X3 @ (esk13_2 @ X3 @ X4))|(X4 @ X14)|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_50])). 0.16/0.48 thf(c_0_56, negated_conjecture, (a @ esk14_0 @ esk15_0), inference(split_conjunct,[status(thm)],[c_0_51])). 0.16/0.48 thf(c_0_57, plain, ![X91:$i, X90:$i]:((~(a @ X91 @ X90)|((![X81:reg]:(((c @ X81 @ catalunya)=>(c @ X81 @ spain)))&~(![X82:reg]:(((c @ X82 @ spain)=>(c @ X82 @ catalunya)))))&?[X83:reg]:((((c @ X83 @ catalunya)&~(?[X84:reg]:((![X85:reg]:(((c @ X85 @ X84)=>(c @ X85 @ X83)))&![X86:reg]:(((c @ X86 @ X84)=>(c @ X86 @ catalunya)))))))&((c @ X83 @ spain)&~(?[X87:reg]:((![X88:reg]:(((c @ X88 @ X87)=>(c @ X88 @ X83)))&![X89:reg]:(((c @ X89 @ X87)=>(c @ X89 @ spain)))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax1]), c_0_29]), c_0_30]), c_0_52])])). 0.16/0.48 thf(c_0_58, plain, ![X3:$i, X14:$i]:(((c @ (esk11_1 @ paris) @ paris)|(c @ (esk12_1 @ paris) @ france)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_53, c_0_54])). 0.16/0.48 thf(c_0_59, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((X4 @ X14)|~((X4 @ (esk13_2 @ X3 @ X4)))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_50])). 0.16/0.48 thf(c_0_60, negated_conjecture, ![X4:$i > $o]:(((fool @ esk14_0 @ (esk13_2 @ esk14_0 @ X4))|(X4 @ esk15_0))), inference(spm,[status(thm)],[c_0_55, c_0_56])). 0.16/0.48 thf(c_0_61, plain, ![X127:$i, X128:$i, X129:reg, X132:reg, X135:reg]:((((~(c @ X129 @ catalunya)|(c @ X129 @ spain)|~(a @ X127 @ X128))&(((c @ esk1_0 @ spain)|~(a @ X127 @ X128))&(~(c @ esk1_0 @ catalunya)|~(a @ X127 @ X128))))&((((c @ esk2_0 @ catalunya)|~(a @ X127 @ X128))&((((c @ (esk4_1 @ X132) @ X132)|(c @ (esk3_1 @ X132) @ X132)|~(a @ X127 @ X128))&(~(c @ (esk4_1 @ X132) @ catalunya)|(c @ (esk3_1 @ X132) @ X132)|~(a @ X127 @ X128)))&(((c @ (esk4_1 @ X132) @ X132)|~(c @ (esk3_1 @ X132) @ esk2_0)|~(a @ X127 @ X128))&(~(c @ (esk4_1 @ X132) @ catalunya)|~(c @ (esk3_1 @ X132) @ esk2_0)|~(a @ X127 @ X128)))))&(((c @ esk2_0 @ spain)|~(a @ X127 @ X128))&((((c @ (esk6_1 @ X135) @ X135)|(c @ (esk5_1 @ X135) @ X135)|~(a @ X127 @ X128))&(~(c @ (esk6_1 @ X135) @ spain)|(c @ (esk5_1 @ X135) @ X135)|~(a @ X127 @ X128)))&(((c @ (esk6_1 @ X135) @ X135)|~(c @ (esk5_1 @ X135) @ esk2_0)|~(a @ X127 @ X128))&(~(c @ (esk6_1 @ X135) @ spain)|~(c @ (esk5_1 @ X135) @ esk2_0)|~(a @ X127 @ X128)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])])])])])). 0.16/0.48 thf(c_0_62, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk11_1 @ X18) @ X18)|~((c @ (esk12_1 @ X18) @ france))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.16/0.48 thf(c_0_63, negated_conjecture, ((c @ (esk12_1 @ paris) @ france)|(c @ (esk11_1 @ paris) @ paris)), inference(spm,[status(thm)],[c_0_58, c_0_56])). 0.16/0.48 thf(c_0_64, negated_conjecture, ![X3:$i]:(((fool @ esk14_0 @ esk15_0)|(fool @ esk14_0 @ X3)|~((a @ esk14_0 @ X3)))), inference(spm,[status(thm)],[c_0_59, c_0_60])). 0.16/0.48 thf(c_0_65, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_61])). 0.16/0.48 thf(c_0_66, negated_conjecture, ![X18:reg]:(((c @ X18 @ catalunya)|~((c @ X18 @ paris)))), inference(split_conjunct,[status(thm)],[c_0_51])). 0.16/0.48 thf(c_0_67, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk11_1 @ paris) @ paris)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_62, c_0_63])). 0.16/0.48 thf(c_0_68, negated_conjecture, (fool @ esk14_0 @ esk15_0), inference(spm,[status(thm)],[c_0_64, c_0_56])). 0.16/0.48 thf(c_0_69, negated_conjecture, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ spain)|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_65, c_0_66])). 0.16/0.48 thf(c_0_70, negated_conjecture, (c @ (esk11_1 @ paris) @ paris), inference(spm,[status(thm)],[c_0_67, c_0_68])). 0.16/0.48 thf(c_0_71, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk11_1 @ paris) @ spain)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_69, c_0_70])). 0.16/0.48 thf(c_0_72, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk12_1 @ X18) @ X18)|~((c @ (esk11_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.16/0.48 thf(c_0_73, negated_conjecture, (c @ (esk11_1 @ paris) @ spain), inference(spm,[status(thm)],[c_0_71, c_0_56])). 0.16/0.48 thf(c_0_74, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk12_1 @ paris) @ paris)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_72, c_0_73])). 0.16/0.48 thf(c_0_75, negated_conjecture, (c @ (esk12_1 @ paris) @ paris), inference(spm,[status(thm)],[c_0_74, c_0_68])). 0.16/0.48 thf(c_0_76, plain, ![X18:reg, X3:$i, X14:$i]:((~((c @ (esk12_1 @ X18) @ france))|~((c @ (esk11_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_41])). 0.16/0.48 thf(c_0_77, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk12_1 @ paris) @ france)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_53, c_0_75])). 0.16/0.48 thf(c_0_78, negated_conjecture, ![X3:$i, X14:$i]:((~((c @ (esk12_1 @ paris) @ france))|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_76, c_0_73])). 0.16/0.48 thf(c_0_79, negated_conjecture, (c @ (esk12_1 @ paris) @ france), inference(spm,[status(thm)],[c_0_77, c_0_56])). 0.16/0.48 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])])). 0.16/0.48 thf(c_0_81, plain, ($false), inference(sr,[status(thm)],[c_0_49, c_0_80]), ['proof']). 0.16/0.48 # SZS output end CNFRefutation 0.16/0.48 # Parsed axioms : 98 0.16/0.48 # Removed by relevancy pruning/SinE : 0 0.16/0.48 # Initial clauses : 85 0.16/0.48 # Removed in clause preprocessing : 49 0.16/0.48 # Initial clauses in saturation : 36 0.16/0.48 # Processed clauses : 349 0.16/0.48 # ...of these trivial : 15 0.16/0.48 # ...subsumed : 54 0.16/0.48 # ...remaining for further processing : 280 0.16/0.48 # Other redundant clauses eliminated : 0 0.16/0.48 # Clauses deleted for lack of memory : 0 0.16/0.48 # Backward-subsumed : 42 0.16/0.48 # Backward-rewritten : 53 0.16/0.48 # Generated clauses : 731 0.16/0.48 # ...of the previous two non-redundant : 651 0.16/0.48 # ...aggressively subsumed : 0 0.16/0.48 # Contextual simplify-reflections : 12 0.16/0.48 # Paramodulations : 720 0.16/0.48 # Factorizations : 2 0.16/0.48 # NegExts : 0 0.16/0.48 # Equation resolutions : 0 0.16/0.48 # Disequality decompositions : 0 0.16/0.48 # Total rewrite steps : 150 0.16/0.48 # ...of those cached : 86 0.16/0.48 # Propositional unsat checks : 0 0.16/0.48 # Propositional check models : 0 0.16/0.48 # Propositional check unsatisfiable : 0 0.16/0.48 # Propositional clauses : 0 0.16/0.48 # Propositional clauses after purity: 0 0.16/0.48 # Propositional unsat core size : 0 0.16/0.48 # Propositional preprocessing time : 0.000 0.16/0.48 # Propositional encoding time : 0.000 0.16/0.48 # Propositional solver time : 0.000 0.16/0.48 # Success case prop preproc time : 0.000 0.16/0.48 # Success case prop encoding time : 0.000 0.16/0.48 # Success case prop solver time : 0.000 0.16/0.48 # Current number of processed clauses : 140 0.16/0.48 # Positive orientable unit clauses : 81 0.16/0.48 # Positive unorientable unit clauses: 0 0.16/0.48 # Negative unit clauses : 4 0.16/0.48 # Non-unit-clauses : 55 0.16/0.48 # Current number of unprocessed clauses: 321 0.16/0.48 # ...number of literals in the above : 1377 0.16/0.48 # Current number of archived formulas : 0 0.16/0.48 # Current number of archived clauses : 140 0.16/0.48 # Clause-clause subsumption calls (NU) : 4604 0.16/0.48 # Rec. Clause-clause subsumption calls : 2891 0.16/0.48 # Non-unit clause-clause subsumptions : 83 0.16/0.48 # Unit Clause-clause subsumption calls : 271 0.16/0.48 # Rewrite failures with RHS unbound : 0 0.16/0.48 # BW rewrite match attempts : 58 0.16/0.48 # BW rewrite match successes : 44 0.16/0.48 # Condensation attempts : 0 0.16/0.48 # Condensation successes : 0 0.16/0.48 # Termbank termtop insertions : 16586 0.16/0.48 # Search garbage collected termcells : 1895 0.16/0.48 0.16/0.48 # ------------------------------------------------- 0.16/0.48 # User time : 0.021 s 0.16/0.48 # System time : 0.009 s 0.16/0.48 # Total time : 0.030 s 0.16/0.48 # Maximum resident set size: 2296 pages 0.16/0.48 0.16/0.48 # ------------------------------------------------- 0.16/0.48 # User time : 0.103 s 0.16/0.48 # System time : 0.037 s 0.16/0.48 # Total time : 0.140 s 0.16/0.48 # Maximum resident set size: 1824 pages 0.16/0.48 % E---3.1 exiting 0.16/0.48 % E exiting 0.16/0.48 EOF