0.07/0.14 % Problem : Vampire---4.8_24064 : TPTP v0.0.0. Released v0.0.0. 0.07/0.15 % Command : run_E %s %d THM 0.15/0.36 % Computer : n019.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 1440 0.15/0.36 % WCLimit : 180 0.15/0.36 % DateTime : Mon Jul 3 12:58:20 EDT 2023 0.15/0.36 % CPUTime : 0.22/0.51 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.q5qp45AbWM/Vampire---4.8_24064 0.22/0.51 # Version: 3.1pre001-ho 0.36/0.54 # Preprocessing class: HSMSSMSSMLLNHSN. 0.36/0.54 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.36/0.54 # Starting new_ho_10_cnf2 with 900s (5) cores 0.36/0.54 # Starting post_as_ho3 with 180s (1) cores 0.36/0.54 # Starting new_ho_12 with 180s (1) cores 0.36/0.54 # Starting new_bool_2 with 180s (1) cores 0.36/0.54 # new_ho_10_cnf2 with pid 24242 completed with status 0 0.36/0.54 # Result found by new_ho_10_cnf2 0.36/0.54 # Preprocessing class: HSMSSMSSMLLNHSN. 0.36/0.54 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.36/0.54 # Starting new_ho_10_cnf2 with 900s (5) cores 0.36/0.54 # No SInE strategy applied 0.36/0.54 # Search class: HGHNF-FFMF21-SHSSMSBN 0.36/0.54 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.36/0.54 # Starting new_ho_9 with 487s (1) cores 0.36/0.54 # Starting new_ho_10_cnf2 with 91s (1) cores 0.36/0.54 # Starting pre_casc_8 with 82s (1) cores 0.36/0.54 # Starting post_as_ho2 with 82s (1) cores 0.36/0.54 # Starting post_as_ho1 with 82s (1) cores 0.36/0.54 # pre_casc_8 with pid 24251 completed with status 0 0.36/0.54 # Result found by pre_casc_8 0.36/0.54 # Preprocessing class: HSMSSMSSMLLNHSN. 0.36/0.54 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.36/0.54 # Starting new_ho_10_cnf2 with 900s (5) cores 0.36/0.54 # No SInE strategy applied 0.36/0.54 # Search class: HGHNF-FFMF21-SHSSMSBN 0.36/0.54 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.36/0.54 # Starting new_ho_9 with 487s (1) cores 0.36/0.54 # Starting new_ho_10_cnf2 with 91s (1) cores 0.36/0.54 # Starting pre_casc_8 with 82s (1) cores 0.36/0.54 # Preprocessing time : 0.004 s 0.36/0.54 # Presaturation interreduction done 0.36/0.54 0.36/0.54 # Proof found! 0.36/0.54 # SZS status Theorem 0.36/0.54 # SZS output start CNFRefutation 0.36/0.54 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.36/0.54 thf(decl_49, type, mvalid: ($i > $o) > $o). 0.36/0.54 thf(decl_53, type, c: reg > reg > $o). 0.36/0.54 thf(decl_55, type, p: reg > reg > $o). 0.36/0.54 thf(decl_57, type, o: reg > reg > $o). 0.36/0.54 thf(decl_59, type, ec: reg > reg > $o). 0.36/0.54 thf(decl_60, type, pp: reg > reg > $o). 0.36/0.54 thf(decl_61, type, tpp: reg > reg > $o). 0.36/0.54 thf(decl_62, type, ntpp: reg > reg > $o). 0.36/0.54 thf(decl_63, type, catalunya: reg). 0.36/0.54 thf(decl_64, type, france: reg). 0.36/0.54 thf(decl_65, type, spain: reg). 0.36/0.54 thf(decl_66, type, paris: reg). 0.36/0.54 thf(decl_67, type, a: $i > $i > $o). 0.36/0.54 thf(decl_69, type, epred1_1: reg > $o). 0.36/0.54 thf(decl_73, type, esk4_0: reg). 0.36/0.54 thf(decl_74, type, esk5_1: reg > reg). 0.36/0.54 thf(decl_75, type, esk6_1: reg > reg). 0.36/0.54 thf(decl_76, type, esk7_0: $i). 0.36/0.54 thf(decl_77, type, esk8_0: $i). 0.36/0.54 thf(decl_78, type, esk9_0: reg). 0.36/0.54 thf(decl_79, type, esk10_0: reg). 0.36/0.54 thf(decl_80, type, esk11_0: reg). 0.36/0.54 thf(decl_81, type, esk12_0: reg). 0.36/0.54 thf(decl_82, type, esk13_0: reg). 0.36/0.54 thf(decl_83, type, esk14_1: reg > reg). 0.36/0.54 thf(decl_84, type, esk15_1: reg > reg). 0.36/0.54 thf(decl_85, type, esk16_1: reg > reg). 0.36/0.54 thf(decl_86, type, esk17_1: reg > reg). 0.36/0.54 thf(decl_89, type, esk20_1: reg > reg). 0.36/0.54 thf(decl_90, type, esk21_2: reg > reg > reg). 0.36/0.54 thf(decl_91, type, esk22_2: reg > reg > reg). 0.36/0.54 thf(decl_92, type, esk23_1: reg > reg). 0.36/0.54 thf(decl_93, type, esk24_2: reg > reg > reg). 0.36/0.54 thf(decl_94, type, esk25_2: reg > reg > reg). 0.36/0.54 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:(((p @ X22 @ X25)&(p @ X22 @ X26)))))), file('/export/starexec/sandbox/tmp/tmp.q5qp45AbWM/Vampire---4.8_24064', o)). 0.36/0.54 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:(((c @ X22 @ X20)=>(c @ X22 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.q5qp45AbWM/Vampire---4.8_24064', p)). 0.36/0.54 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:(((c @ X29 @ X30)&~((o @ X29 @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.q5qp45AbWM/Vampire---4.8_24064', ec)). 0.36/0.54 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:(((p @ X31 @ X32)&~((p @ X32 @ X31)))))), file('/export/starexec/sandbox/tmp/tmp.q5qp45AbWM/Vampire---4.8_24064', pp)). 0.36/0.54 thf(tpp, axiom, ((tpp)=(^[X33:reg, X34:reg]:(((pp @ X33 @ X34)&?[X22:reg]:(((ec @ X22 @ X33)&(ec @ X22 @ X34))))))), file('/export/starexec/sandbox/tmp/tmp.q5qp45AbWM/Vampire---4.8_24064', tpp)). 0.36/0.54 thf(ntpp, axiom, ((ntpp)=(^[X35:reg, X36:reg]:(((pp @ X35 @ X36)&~(?[X22:reg]:(((ec @ X22 @ X35)&(ec @ X22 @ X36)))))))), file('/export/starexec/sandbox/tmp/tmp.q5qp45AbWM/Vampire---4.8_24064', ntpp)). 0.36/0.54 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/tmp/tmp.q5qp45AbWM/Vampire---4.8_24064', mbox)). 0.36/0.54 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.q5qp45AbWM/Vampire---4.8_24064', mvalid)). 0.36/0.54 thf(ax1, axiom, (mvalid @ (mbox @ a @ (^[X43:$i]:((tpp @ catalunya @ spain))))), file('/export/starexec/sandbox/tmp/tmp.q5qp45AbWM/Vampire---4.8_24064', ax1)). 0.36/0.54 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X42:$i]:(![X22:reg]:((((pp @ catalunya @ X22)&(pp @ paris @ X22))<=((ntpp @ france @ X22)&(ntpp @ spain @ X22)))))))), file('/export/starexec/sandbox/tmp/tmp.q5qp45AbWM/Vampire---4.8_24064', con)). 0.36/0.54 thf(ax3, axiom, (mvalid @ (mbox @ a @ (^[X41:$i]:((ntpp @ paris @ france))))), file('/export/starexec/sandbox/tmp/tmp.q5qp45AbWM/Vampire---4.8_24064', ax3)). 0.36/0.54 thf(c_0_11, 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])). 0.36/0.54 thf(c_0_12, plain, ((p)=(^[Z0/* 19 */:reg, Z1:reg]:(![X22:reg]:(((c @ X22 @ Z0)=>(c @ X22 @ Z1)))))), inference(fof_simplification,[status(thm)],[p])). 0.36/0.55 thf(c_0_13, 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])). 0.36/0.55 thf(c_0_14, 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_11, c_0_12])). 0.36/0.55 thf(c_0_15, 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])). 0.36/0.55 thf(c_0_16, 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])). 0.36/0.55 thf(c_0_17, 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_13, c_0_14])). 0.36/0.55 thf(c_0_18, 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_15, c_0_12])). 0.36/0.55 thf(c_0_19, 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])). 0.36/0.55 thf(c_0_20, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.36/0.55 thf(c_0_21, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.36/0.55 thf(c_0_22, 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_16, c_0_17]), c_0_18])). 0.36/0.55 thf(c_0_23, 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_19, c_0_17]), c_0_18])). 0.36/0.55 thf(c_0_24, plain, ![X22:reg]:(((epred1_1 @ X22)<=>(((![X108:reg]:(((c @ X108 @ france)=>(c @ X108 @ X22)))&~(![X109:reg]:(((c @ X109 @ X22)=>(c @ X109 @ france)))))&~(?[X110:reg]:((((c @ X110 @ france)&~(?[X111:reg]:((![X112:reg]:(((c @ X112 @ X111)=>(c @ X112 @ X110)))&![X113:reg]:(((c @ X113 @ X111)=>(c @ X113 @ france)))))))&((c @ X110 @ X22)&~(?[X114:reg]:((![X115:reg]:(((c @ X115 @ X114)=>(c @ X115 @ X110)))&![X116:reg]:(((c @ X116 @ X114)=>(c @ X116 @ X22)))))))))))&((![X117:reg]:(((c @ X117 @ spain)=>(c @ X117 @ X22)))&~(![X118:reg]:(((c @ X118 @ X22)=>(c @ X118 @ spain)))))&~(?[X119:reg]:((((c @ X119 @ spain)&~(?[X120:reg]:((![X121:reg]:(((c @ X121 @ X120)=>(c @ X121 @ X119)))&![X122:reg]:(((c @ X122 @ X120)=>(c @ X122 @ spain)))))))&((c @ X119 @ X22)&~(?[X123:reg]:((![X124:reg]:(((c @ X124 @ X123)=>(c @ X124 @ X119)))&![X125:reg]:(((c @ X125 @ X123)=>(c @ X125 @ X22)))))))))))))), introduced(definition)). 0.36/0.55 thf(c_0_25, plain, ![X138:$i, X137:$i]:((~(a @ X138 @ X137)|((![X128:reg]:(((c @ X128 @ catalunya)=>(c @ X128 @ spain)))&~(![X129:reg]:(((c @ X129 @ spain)=>(c @ X129 @ catalunya)))))&?[X130:reg]:((((c @ X130 @ catalunya)&~(?[X131:reg]:((![X132:reg]:(((c @ X132 @ X131)=>(c @ X132 @ X130)))&![X133:reg]:(((c @ X133 @ X131)=>(c @ X133 @ catalunya)))))))&((c @ X130 @ spain)&~(?[X134:reg]:((![X135:reg]:(((c @ X135 @ X134)=>(c @ X135 @ X130)))&![X136:reg]:(((c @ X136 @ X134)=>(c @ X136 @ 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_20]), c_0_21]), c_0_22])])). 0.36/0.55 thf(c_0_26, negated_conjecture, ~(![X127:$i, X126:$i]:((~(a @ X127 @ X126)|![X22:reg]:(((epred1_1 @ X22)=>((![X104:reg]:(((c @ X104 @ catalunya)=>(c @ X104 @ X22)))&~(![X105:reg]:(((c @ X105 @ X22)=>(c @ X105 @ catalunya)))))&(![X106:reg]:(((c @ X106 @ paris)=>(c @ X106 @ X22)))&~(![X107:reg]:(((c @ X107 @ X22)=>(c @ X107 @ paris))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]), c_0_20]), c_0_21]), c_0_18]), c_0_23])]), c_0_24])). 0.36/0.55 thf(c_0_27, plain, ![X22:reg]:(((epred1_1 @ X22)=>(((![X108:reg]:(((c @ X108 @ france)=>(c @ X108 @ X22)))&~(![X109:reg]:(((c @ X109 @ X22)=>(c @ X109 @ france)))))&~(?[X110:reg]:((((c @ X110 @ france)&~(?[X111:reg]:((![X112:reg]:(((c @ X112 @ X111)=>(c @ X112 @ X110)))&![X113:reg]:(((c @ X113 @ X111)=>(c @ X113 @ france)))))))&((c @ X110 @ X22)&~(?[X114:reg]:((![X115:reg]:(((c @ X115 @ X114)=>(c @ X115 @ X110)))&![X116:reg]:(((c @ X116 @ X114)=>(c @ X116 @ X22)))))))))))&((![X117:reg]:(((c @ X117 @ spain)=>(c @ X117 @ X22)))&~(![X118:reg]:(((c @ X118 @ X22)=>(c @ X118 @ spain)))))&~(?[X119:reg]:((((c @ X119 @ spain)&~(?[X120:reg]:((![X121:reg]:(((c @ X121 @ X120)=>(c @ X121 @ X119)))&![X122:reg]:(((c @ X122 @ X120)=>(c @ X122 @ spain)))))))&((c @ X119 @ X22)&~(?[X123:reg]:((![X124:reg]:(((c @ X124 @ X123)=>(c @ X124 @ X119)))&![X125:reg]:(((c @ X125 @ X123)=>(c @ X125 @ X22)))))))))))))), inference(split_equiv,[status(thm)],[c_0_24])). 0.36/0.55 thf(c_0_28, plain, ![X177:$i, X178:$i, X179:reg, X182:reg, X185:reg]:((((~(c @ X179 @ catalunya)|(c @ X179 @ spain)|~(a @ X177 @ X178))&(((c @ esk12_0 @ spain)|~(a @ X177 @ X178))&(~(c @ esk12_0 @ catalunya)|~(a @ X177 @ X178))))&((((c @ esk13_0 @ catalunya)|~(a @ X177 @ X178))&((((c @ (esk15_1 @ X182) @ X182)|(c @ (esk14_1 @ X182) @ X182)|~(a @ X177 @ X178))&(~(c @ (esk15_1 @ X182) @ catalunya)|(c @ (esk14_1 @ X182) @ X182)|~(a @ X177 @ X178)))&(((c @ (esk15_1 @ X182) @ X182)|~(c @ (esk14_1 @ X182) @ esk13_0)|~(a @ X177 @ X178))&(~(c @ (esk15_1 @ X182) @ catalunya)|~(c @ (esk14_1 @ X182) @ esk13_0)|~(a @ X177 @ X178)))))&(((c @ esk13_0 @ spain)|~(a @ X177 @ X178))&((((c @ (esk17_1 @ X185) @ X185)|(c @ (esk16_1 @ X185) @ X185)|~(a @ X177 @ X178))&(~(c @ (esk17_1 @ X185) @ spain)|(c @ (esk16_1 @ X185) @ X185)|~(a @ X177 @ X178)))&(((c @ (esk17_1 @ X185) @ X185)|~(c @ (esk16_1 @ X185) @ esk13_0)|~(a @ X177 @ X178))&(~(c @ (esk17_1 @ X185) @ spain)|~(c @ (esk16_1 @ X185) @ esk13_0)|~(a @ X177 @ X178)))))))), 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_25])])])])])])). 0.36/0.55 thf(c_0_29, negated_conjecture, ![X174:reg, X176:reg]:(((a @ esk7_0 @ esk8_0)&((epred1_1 @ esk9_0)&((((c @ esk11_0 @ paris)|(~(c @ X176 @ esk9_0)|(c @ X176 @ paris))|((c @ esk10_0 @ catalunya)|(~(c @ X174 @ esk9_0)|(c @ X174 @ catalunya))))&(~(c @ esk11_0 @ esk9_0)|(~(c @ X176 @ esk9_0)|(c @ X176 @ paris))|((c @ esk10_0 @ catalunya)|(~(c @ X174 @ esk9_0)|(c @ X174 @ catalunya)))))&(((c @ esk11_0 @ paris)|(~(c @ X176 @ esk9_0)|(c @ X176 @ paris))|(~(c @ esk10_0 @ esk9_0)|(~(c @ X174 @ esk9_0)|(c @ X174 @ catalunya))))&(~(c @ esk11_0 @ esk9_0)|(~(c @ X176 @ esk9_0)|(c @ X176 @ paris))|(~(c @ esk10_0 @ esk9_0)|(~(c @ X174 @ esk9_0)|(c @ X174 @ catalunya))))))))), 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_26])])])])])). 0.36/0.55 thf(c_0_30, plain, ![X103:$i, X102:$i]:((~(a @ X103 @ X102)|((![X93:reg]:(((c @ X93 @ paris)=>(c @ X93 @ france)))&~(![X94:reg]:(((c @ X94 @ france)=>(c @ X94 @ paris)))))&~(?[X95:reg]:((((c @ X95 @ paris)&~(?[X96:reg]:((![X97:reg]:(((c @ X97 @ X96)=>(c @ X97 @ X95)))&![X98:reg]:(((c @ X98 @ X96)=>(c @ X98 @ paris)))))))&((c @ X95 @ france)&~(?[X99:reg]:((![X100:reg]:(((c @ X100 @ X99)=>(c @ X100 @ X95)))&![X101:reg]:(((c @ X101 @ X99)=>(c @ X101 @ 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_20]), c_0_21]), c_0_23])])). 0.36/0.55 thf(c_0_31, plain, ![X193:reg, X194:reg, X196:reg, X198:reg, X199:reg, X201:reg, X202:reg, X203:reg, X205:reg, X207:reg, X208:reg, X210:reg, X211:reg]:(((((~(c @ X194 @ france)|(c @ X194 @ X193)|~(epred1_1 @ X193))&(((c @ (esk20_1 @ X193) @ X193)|~(epred1_1 @ X193))&(~(c @ (esk20_1 @ X193) @ france)|~(epred1_1 @ X193))))&(((~(c @ X201 @ (esk22_2 @ X193 @ X196))|(c @ X201 @ X196)|~(c @ X196 @ X193)|(~(c @ X198 @ (esk21_2 @ X193 @ X196))|(c @ X198 @ X196)|~(c @ X196 @ france))|~(epred1_1 @ X193))&(~(c @ X202 @ (esk22_2 @ X193 @ X196))|(c @ X202 @ X193)|~(c @ X196 @ X193)|(~(c @ X198 @ (esk21_2 @ X193 @ X196))|(c @ X198 @ X196)|~(c @ X196 @ france))|~(epred1_1 @ X193)))&((~(c @ X201 @ (esk22_2 @ X193 @ X196))|(c @ X201 @ X196)|~(c @ X196 @ X193)|(~(c @ X199 @ (esk21_2 @ X193 @ X196))|(c @ X199 @ france)|~(c @ X196 @ france))|~(epred1_1 @ X193))&(~(c @ X202 @ (esk22_2 @ X193 @ X196))|(c @ X202 @ X193)|~(c @ X196 @ X193)|(~(c @ X199 @ (esk21_2 @ X193 @ X196))|(c @ X199 @ france)|~(c @ X196 @ france))|~(epred1_1 @ X193)))))&(((~(c @ X203 @ spain)|(c @ X203 @ X193)|~(epred1_1 @ X193))&(((c @ (esk23_1 @ X193) @ X193)|~(epred1_1 @ X193))&(~(c @ (esk23_1 @ X193) @ spain)|~(epred1_1 @ X193))))&(((~(c @ X210 @ (esk25_2 @ X193 @ X205))|(c @ X210 @ X205)|~(c @ X205 @ X193)|(~(c @ X207 @ (esk24_2 @ X193 @ X205))|(c @ X207 @ X205)|~(c @ X205 @ spain))|~(epred1_1 @ X193))&(~(c @ X211 @ (esk25_2 @ X193 @ X205))|(c @ X211 @ X193)|~(c @ X205 @ X193)|(~(c @ X207 @ (esk24_2 @ X193 @ X205))|(c @ X207 @ X205)|~(c @ X205 @ spain))|~(epred1_1 @ X193)))&((~(c @ X210 @ (esk25_2 @ X193 @ X205))|(c @ X210 @ X205)|~(c @ X205 @ X193)|(~(c @ X208 @ (esk24_2 @ X193 @ X205))|(c @ X208 @ spain)|~(c @ X205 @ spain))|~(epred1_1 @ X193))&(~(c @ X211 @ (esk25_2 @ X193 @ X205))|(c @ X211 @ X193)|~(c @ X205 @ X193)|(~(c @ X208 @ (esk24_2 @ X193 @ X205))|(c @ X208 @ spain)|~(c @ X205 @ spain))|~(epred1_1 @ X193))))))), 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_27])])])])])). 0.36/0.55 thf(c_0_32, plain, ![X3:$i, X14:$i]:(((c @ esk12_0 @ spain)|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.36/0.55 thf(c_0_33, negated_conjecture, (a @ esk7_0 @ esk8_0), inference(split_conjunct,[status(thm)],[c_0_29])). 0.36/0.55 thf(c_0_34, plain, ![X159:$i, X160:$i, X161:reg, X163:reg, X165:reg, X166:reg, X168:reg, X169:reg]:((((~(c @ X161 @ paris)|(c @ X161 @ france)|~(a @ X159 @ X160))&(((c @ esk4_0 @ france)|~(a @ X159 @ X160))&(~(c @ esk4_0 @ paris)|~(a @ X159 @ X160))))&(((~(c @ X168 @ (esk6_1 @ X163))|(c @ X168 @ X163)|~(c @ X163 @ france)|(~(c @ X165 @ (esk5_1 @ X163))|(c @ X165 @ X163)|~(c @ X163 @ paris))|~(a @ X159 @ X160))&(~(c @ X169 @ (esk6_1 @ X163))|(c @ X169 @ france)|~(c @ X163 @ france)|(~(c @ X165 @ (esk5_1 @ X163))|(c @ X165 @ X163)|~(c @ X163 @ paris))|~(a @ X159 @ X160)))&((~(c @ X168 @ (esk6_1 @ X163))|(c @ X168 @ X163)|~(c @ X163 @ france)|(~(c @ X166 @ (esk5_1 @ X163))|(c @ X166 @ paris)|~(c @ X163 @ paris))|~(a @ X159 @ X160))&(~(c @ X169 @ (esk6_1 @ X163))|(c @ X169 @ france)|~(c @ X163 @ france)|(~(c @ X166 @ (esk5_1 @ X163))|(c @ X166 @ paris)|~(c @ X163 @ paris))|~(a @ X159 @ X160)))))), 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_30])])])])])])). 0.36/0.55 thf(c_0_35, plain, ![X18:reg, X19:reg]:(((c @ X18 @ X19)|~((c @ X18 @ spain))|~((epred1_1 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.36/0.55 thf(c_0_36, negated_conjecture, (c @ esk12_0 @ spain), inference(spm,[status(thm)],[c_0_32, c_0_33])). 0.36/0.55 thf(c_0_37, plain, ![X3:$i, X14:$i]:(((c @ esk4_0 @ france)|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_34])). 0.36/0.55 thf(c_0_38, negated_conjecture, ![X18:reg]:(((c @ esk12_0 @ X18)|~((epred1_1 @ X18)))), inference(spm,[status(thm)],[c_0_35, c_0_36])). 0.36/0.55 thf(c_0_39, negated_conjecture, (epred1_1 @ esk9_0), inference(split_conjunct,[status(thm)],[c_0_29])). 0.36/0.55 thf(c_0_40, plain, ![X3:$i, X14:$i]:((~((c @ esk12_0 @ catalunya))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.36/0.55 thf(c_0_41, plain, ![X18:reg, X19:reg]:(((c @ X18 @ X19)|~((c @ X18 @ france))|~((epred1_1 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.36/0.55 thf(c_0_42, negated_conjecture, (c @ esk4_0 @ france), inference(spm,[status(thm)],[c_0_37, c_0_33])). 0.36/0.55 thf(c_0_43, negated_conjecture, ![X18:reg, X19:reg]:(((c @ esk11_0 @ paris)|(c @ X18 @ paris)|(c @ esk10_0 @ catalunya)|(c @ X19 @ catalunya)|~((c @ X18 @ esk9_0))|~((c @ X19 @ esk9_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.36/0.55 thf(c_0_44, negated_conjecture, (c @ esk12_0 @ esk9_0), inference(spm,[status(thm)],[c_0_38, c_0_39])). 0.36/0.55 thf(c_0_45, negated_conjecture, ~((c @ esk12_0 @ catalunya)), inference(spm,[status(thm)],[c_0_40, c_0_33])). 0.36/0.55 thf(c_0_46, negated_conjecture, ![X18:reg]:(((c @ esk4_0 @ X18)|~((epred1_1 @ X18)))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 0.36/0.55 thf(c_0_47, plain, ![X3:$i, X14:$i]:((~((c @ esk4_0 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_34])). 0.36/0.55 thf(c_0_48, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_34])). 0.36/0.55 thf(c_0_49, negated_conjecture, ![X18:reg]:(((c @ esk11_0 @ paris)|(c @ esk10_0 @ catalunya)|(c @ X18 @ paris)|~((c @ X18 @ esk9_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45])). 0.36/0.55 thf(c_0_50, negated_conjecture, (c @ esk4_0 @ esk9_0), inference(spm,[status(thm)],[c_0_46, c_0_39])). 0.36/0.55 thf(c_0_51, negated_conjecture, ~((c @ esk4_0 @ paris)), inference(spm,[status(thm)],[c_0_47, c_0_33])). 0.36/0.55 thf(c_0_52, negated_conjecture, ![X18:reg]:(((c @ X18 @ france)|~((c @ X18 @ paris)))), inference(spm,[status(thm)],[c_0_48, c_0_33])). 0.36/0.55 thf(c_0_53, negated_conjecture, ((c @ esk10_0 @ catalunya)|(c @ esk11_0 @ paris)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51])). 0.36/0.55 thf(c_0_54, negated_conjecture, ![X18:reg, X19:reg]:(((c @ X18 @ paris)|(c @ esk10_0 @ catalunya)|(c @ X19 @ catalunya)|~((c @ esk11_0 @ esk9_0))|~((c @ X18 @ esk9_0))|~((c @ X19 @ esk9_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.36/0.55 thf(c_0_55, negated_conjecture, ((c @ esk10_0 @ catalunya)|(c @ esk11_0 @ france)), inference(spm,[status(thm)],[c_0_52, c_0_53])). 0.36/0.55 thf(c_0_56, negated_conjecture, ![X18:reg]:(((c @ esk10_0 @ catalunya)|(c @ X18 @ paris)|~((c @ esk11_0 @ esk9_0))|~((c @ X18 @ esk9_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_44]), c_0_45])). 0.36/0.55 thf(c_0_57, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_28])). 0.36/0.55 thf(c_0_58, plain, ![X18:reg]:(((c @ esk10_0 @ catalunya)|(c @ esk11_0 @ X18)|~((epred1_1 @ X18)))), inference(spm,[status(thm)],[c_0_41, c_0_55])). 0.36/0.55 thf(c_0_59, negated_conjecture, ((c @ esk10_0 @ catalunya)|~((c @ esk11_0 @ esk9_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_50]), c_0_51])). 0.36/0.55 thf(c_0_60, negated_conjecture, ![X18:reg]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya)))), inference(spm,[status(thm)],[c_0_57, c_0_33])). 0.36/0.55 thf(c_0_61, negated_conjecture, (c @ esk10_0 @ catalunya), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58, c_0_39]), c_0_59])). 0.36/0.55 thf(c_0_62, negated_conjecture, ![X18:reg, X19:reg]:(((c @ esk11_0 @ paris)|(c @ X18 @ paris)|(c @ X19 @ catalunya)|~((c @ X18 @ esk9_0))|~((c @ esk10_0 @ esk9_0))|~((c @ X19 @ esk9_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.36/0.55 thf(c_0_63, negated_conjecture, (c @ esk10_0 @ spain), inference(spm,[status(thm)],[c_0_60, c_0_61])). 0.36/0.55 thf(c_0_64, negated_conjecture, ![X18:reg]:(((c @ esk11_0 @ paris)|(c @ X18 @ paris)|~((c @ esk10_0 @ esk9_0))|~((c @ X18 @ esk9_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62, c_0_44]), c_0_45])). 0.36/0.55 thf(c_0_65, plain, ![X18:reg]:(((c @ esk10_0 @ X18)|~((epred1_1 @ X18)))), inference(spm,[status(thm)],[c_0_35, c_0_63])). 0.36/0.55 thf(c_0_66, negated_conjecture, ((c @ esk11_0 @ paris)|~((c @ esk10_0 @ esk9_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_50]), c_0_51])). 0.36/0.55 thf(c_0_67, negated_conjecture, (c @ esk10_0 @ esk9_0), inference(spm,[status(thm)],[c_0_65, c_0_39])). 0.36/0.55 thf(c_0_68, negated_conjecture, ![X18:reg, X19:reg]:(((c @ X18 @ paris)|(c @ X19 @ catalunya)|~((c @ esk11_0 @ esk9_0))|~((c @ X18 @ esk9_0))|~((c @ esk10_0 @ esk9_0))|~((c @ X19 @ esk9_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.36/0.55 thf(c_0_69, negated_conjecture, (c @ esk11_0 @ paris), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_67])])). 0.36/0.55 thf(c_0_70, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|~((c @ esk10_0 @ esk9_0))|~((c @ esk11_0 @ esk9_0))|~((c @ X18 @ esk9_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_44]), c_0_45])). 0.36/0.55 thf(c_0_71, negated_conjecture, (c @ esk11_0 @ france), inference(spm,[status(thm)],[c_0_52, c_0_69])). 0.36/0.55 thf(c_0_72, negated_conjecture, (~((c @ esk10_0 @ esk9_0))|~((c @ esk11_0 @ esk9_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_50]), c_0_51])). 0.36/0.55 thf(c_0_73, plain, ![X18:reg]:(((c @ esk11_0 @ X18)|~((epred1_1 @ X18)))), inference(spm,[status(thm)],[c_0_41, c_0_71])). 0.36/0.55 thf(c_0_74, negated_conjecture, ~((c @ esk11_0 @ esk9_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72, c_0_67])])). 0.36/0.55 thf(c_0_75, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_39]), c_0_74]), ['proof']). 0.36/0.55 # SZS output end CNFRefutation 0.36/0.55 # Parsed axioms : 98 0.36/0.55 # Removed by relevancy pruning/SinE : 0 0.36/0.55 # Initial clauses : 102 0.36/0.55 # Removed in clause preprocessing : 49 0.36/0.55 # Initial clauses in saturation : 53 0.36/0.55 # Processed clauses : 194 0.36/0.55 # ...of these trivial : 0 0.36/0.55 # ...subsumed : 5 0.36/0.55 # ...remaining for further processing : 189 0.36/0.55 # Other redundant clauses eliminated : 0 0.36/0.55 # Clauses deleted for lack of memory : 0 0.36/0.55 # Backward-subsumed : 27 0.36/0.55 # Backward-rewritten : 11 0.36/0.55 # Generated clauses : 218 0.36/0.55 # ...of the previous two non-redundant : 183 0.36/0.55 # ...aggressively subsumed : 0 0.36/0.55 # Contextual simplify-reflections : 13 0.36/0.55 # Paramodulations : 218 0.36/0.55 # Factorizations : 0 0.36/0.55 # NegExts : 0 0.36/0.55 # Equation resolutions : 0 0.36/0.55 # Total rewrite steps : 47 0.36/0.55 # Propositional unsat checks : 0 0.36/0.55 # Propositional check models : 0 0.36/0.55 # Propositional check unsatisfiable : 0 0.36/0.55 # Propositional clauses : 0 0.36/0.55 # Propositional clauses after purity: 0 0.36/0.55 # Propositional unsat core size : 0 0.36/0.55 # Propositional preprocessing time : 0.000 0.36/0.55 # Propositional encoding time : 0.000 0.36/0.55 # Propositional solver time : 0.000 0.36/0.55 # Success case prop preproc time : 0.000 0.36/0.55 # Success case prop encoding time : 0.000 0.36/0.55 # Success case prop solver time : 0.000 0.36/0.55 # Current number of processed clauses : 98 0.36/0.55 # Positive orientable unit clauses : 46 0.36/0.55 # Positive unorientable unit clauses: 0 0.36/0.55 # Negative unit clauses : 3 0.36/0.55 # Non-unit-clauses : 49 0.36/0.55 # Current number of unprocessed clauses: 68 0.36/0.55 # ...number of literals in the above : 318 0.36/0.55 # Current number of archived formulas : 0 0.36/0.55 # Current number of archived clauses : 91 0.36/0.55 # Clause-clause subsumption calls (NU) : 2813 0.36/0.55 # Rec. Clause-clause subsumption calls : 1215 0.36/0.55 # Non-unit clause-clause subsumptions : 35 0.36/0.55 # Unit Clause-clause subsumption calls : 203 0.36/0.55 # Rewrite failures with RHS unbound : 0 0.36/0.55 # BW rewrite match attempts : 18 0.36/0.55 # BW rewrite match successes : 10 0.36/0.55 # Condensation attempts : 194 0.36/0.55 # Condensation successes : 0 0.36/0.55 # Termbank termtop insertions : 12798 0.36/0.55 0.36/0.55 # ------------------------------------------------- 0.36/0.55 # User time : 0.028 s 0.36/0.55 # System time : 0.004 s 0.36/0.55 # Total time : 0.032 s 0.36/0.55 # Maximum resident set size: 2396 pages 0.50/0.55 0.50/0.55 # ------------------------------------------------- 0.50/0.55 # User time : 0.098 s 0.50/0.55 # System time : 0.024 s 0.50/0.55 # Total time : 0.122 s 0.50/0.55 # Maximum resident set size: 1828 pages 0.50/0.55 % E---3.1 exiting 0.50/0.55 EOF