0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM 0.12/0.34 % Computer : n020.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1920 0.12/0.34 % WCLimit : 240 0.12/0.34 % DateTime : Wed Jul 30 02:17:49 EDT 2025 0.12/0.34 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.20/0.49 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=240 /export/starexec/sandbox/tmp/tmp.XDBjHZuZyP/E---3.1_6655.p 0.89/0.61 # Version: 3.0.0-ho 0.89/0.61 # Preprocessing class: HSMSSMSSMLLNHSN. 0.89/0.61 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.89/0.61 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.89/0.61 # Starting post_as_ho3 with 240s (1) cores 0.89/0.61 # Starting new_ho_12 with 240s (1) cores 0.89/0.61 # Starting new_bool_2 with 240s (1) cores 0.89/0.61 # new_ho_12 with pid 6792 completed with status 0 0.89/0.61 # Result found by new_ho_12 0.89/0.61 # Preprocessing class: HSMSSMSSMLLNHSN. 0.89/0.61 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.89/0.61 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.89/0.61 # Starting post_as_ho3 with 240s (1) cores 0.89/0.61 # Starting new_ho_12 with 240s (1) cores 0.89/0.61 # No SInE strategy applied 0.89/0.61 # Search class: HGHNF-FFMF21-SHSSMSBN 0.89/0.61 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.89/0.61 # Starting new_ho_9 with 130s (1) cores 0.89/0.61 # new_ho_9 with pid 6801 completed with status 0 0.89/0.61 # Result found by new_ho_9 0.89/0.61 # Preprocessing class: HSMSSMSSMLLNHSN. 0.89/0.61 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.89/0.61 # Starting new_ho_10_cnf2 with 1200s (5) cores 0.89/0.61 # Starting post_as_ho3 with 240s (1) cores 0.89/0.61 # Starting new_ho_12 with 240s (1) cores 0.89/0.61 # No SInE strategy applied 0.89/0.61 # Search class: HGHNF-FFMF21-SHSSMSBN 0.89/0.61 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 0.89/0.61 # Starting new_ho_9 with 130s (1) cores 0.89/0.61 # Preprocessing time : 0.003 s 0.89/0.61 # Presaturation interreduction done 0.89/0.61 0.89/0.61 # Proof found! 0.89/0.61 # SZS status Theorem 0.89/0.61 # SZS output start CNFRefutation 0.89/0.61 thf(decl_sort1, type, reg: $tType). 0.89/0.61 thf(decl_38, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.89/0.61 thf(decl_50, type, mvalid: ($i > $o) > $o). 0.89/0.61 thf(decl_54, type, c: reg > reg > $o). 0.89/0.61 thf(decl_56, type, p: reg > reg > $o). 0.89/0.61 thf(decl_58, type, o: reg > reg > $o). 0.89/0.61 thf(decl_60, type, ec: reg > reg > $o). 0.89/0.61 thf(decl_61, type, pp: reg > reg > $o). 0.89/0.61 thf(decl_62, type, tpp: reg > reg > $o). 0.89/0.61 thf(decl_63, type, ntpp: reg > reg > $o). 0.89/0.61 thf(decl_64, type, catalunya: reg). 0.89/0.61 thf(decl_65, type, france: reg). 0.89/0.61 thf(decl_66, type, spain: reg). 0.89/0.61 thf(decl_67, type, paris: reg). 0.89/0.61 thf(decl_68, type, a: $i > $i > $o). 0.89/0.61 thf(decl_70, type, esk1_0: $i). 0.89/0.61 thf(decl_71, type, esk2_0: $i). 0.89/0.61 thf(decl_72, type, esk3_0: reg). 0.89/0.61 thf(decl_73, type, esk4_0: reg). 0.89/0.61 thf(decl_74, type, esk5_0: reg). 0.89/0.61 thf(decl_75, type, esk6_1: reg > reg). 0.89/0.61 thf(decl_76, type, esk7_1: reg > reg). 0.89/0.61 thf(decl_77, type, esk8_1: reg > reg). 0.89/0.61 thf(decl_78, type, esk9_1: reg > reg). 0.89/0.61 thf(decl_81, type, esk12_0: reg). 0.89/0.61 thf(decl_82, type, esk13_0: reg). 0.89/0.61 thf(decl_83, type, esk14_1: reg > reg). 0.89/0.61 thf(decl_84, type, esk15_1: reg > reg). 0.89/0.61 thf(decl_85, type, esk16_1: reg > reg). 0.89/0.61 thf(decl_86, type, esk17_1: reg > reg). 0.89/0.61 thf(decl_89, type, esk20_0: reg). 0.89/0.61 thf(decl_90, type, esk21_1: reg > reg). 0.89/0.61 thf(decl_91, type, esk22_1: reg > reg). 0.89/0.61 thf(decl_99, type, epred7_0: $o). 0.89/0.61 thf(decl_100, type, epred8_0: $o). 0.89/0.61 thf(decl_101, type, epred9_0: $o). 0.89/0.61 thf(decl_102, type, epred10_0: $o). 0.89/0.61 thf(decl_107, type, epred15_0: $o). 0.89/0.61 thf(decl_108, type, epred16_0: $o). 0.89/0.61 thf(decl_115, type, epred23_0: $o). 0.89/0.61 thf(decl_116, type, epred24_0: $o). 0.89/0.61 thf(decl_117, type, epred25_0: $o). 0.89/0.61 thf(decl_118, type, epred26_0: $o). 0.89/0.61 thf(decl_119, type, epred27_0: $o). 0.89/0.61 thf(decl_120, type, epred28_0: $o). 0.89/0.61 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:(((p @ X22 @ X25)&(p @ X22 @ X26)))))), file('/export/starexec/sandbox/tmp/tmp.XDBjHZuZyP/E---3.1_6655.p', o)). 0.89/0.61 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:(((c @ X22 @ X20)=>(c @ X22 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.XDBjHZuZyP/E---3.1_6655.p', p)). 0.89/0.61 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:(((c @ X29 @ X30)&~((o @ X29 @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.XDBjHZuZyP/E---3.1_6655.p', ec)). 0.89/0.61 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:(((p @ X31 @ X32)&~((p @ X32 @ X31)))))), file('/export/starexec/sandbox/tmp/tmp.XDBjHZuZyP/E---3.1_6655.p', pp)). 0.89/0.61 thf(ntpp, axiom, ((ntpp)=(^[X35:reg, X36:reg]:(((pp @ X35 @ X36)&~(?[X22:reg]:(((ec @ X22 @ X35)&(ec @ X22 @ X36)))))))), file('/export/starexec/sandbox/tmp/tmp.XDBjHZuZyP/E---3.1_6655.p', ntpp)). 0.89/0.61 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/tmp/tmp.XDBjHZuZyP/E---3.1_6655.p', mbox)). 0.89/0.61 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.XDBjHZuZyP/E---3.1_6655.p', mvalid)). 0.89/0.61 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.XDBjHZuZyP/E---3.1_6655.p', tpp)). 0.89/0.61 thf(ax3, axiom, (mvalid @ (mbox @ a @ (^[X44:$i]:((ntpp @ paris @ france))))), file('/export/starexec/sandbox/tmp/tmp.XDBjHZuZyP/E---3.1_6655.p', ax3)). 0.89/0.61 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X40:$i]:(![X22:reg]:((((o @ X22 @ spain)|(o @ X22 @ france))<=((o @ X22 @ catalunya)|(o @ X22 @ paris)))))))), file('/export/starexec/sandbox/tmp/tmp.XDBjHZuZyP/E---3.1_6655.p', con)). 0.89/0.61 thf(ax1, axiom, (mvalid @ (mbox @ a @ (^[X42:$i]:((tpp @ catalunya @ spain))))), file('/export/starexec/sandbox/tmp/tmp.XDBjHZuZyP/E---3.1_6655.p', ax1)). 0.89/0.61 thf(c_symmetric, axiom, ![X38:reg, X39:reg]:(((c @ X39 @ X38)<=(c @ X38 @ X39))), file('/export/starexec/sandbox/tmp/tmp.XDBjHZuZyP/E---3.1_6655.p', c_symmetric)). 0.89/0.61 thf(c_0_12, 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])). 0.89/0.61 thf(c_0_13, plain, ((p)=(^[Z0/* 19 */:reg, Z1:reg]:(![X22:reg]:(((c @ X22 @ Z0)=>(c @ X22 @ Z1)))))), inference(fof_simplification,[status(thm)],[p])). 0.89/0.61 thf(c_0_14, 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])). 0.89/0.61 thf(c_0_15, 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_12, c_0_13])). 0.89/0.61 thf(c_0_16, 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])). 0.89/0.61 thf(c_0_17, 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])). 0.89/0.61 thf(c_0_18, 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_14, c_0_15])). 0.89/0.61 thf(c_0_19, 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_16, c_0_13])). 0.89/0.61 thf(c_0_20, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.89/0.61 thf(c_0_21, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.89/0.61 thf(c_0_22, 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_17, c_0_18]), c_0_19])). 0.89/0.61 thf(c_0_23, 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])). 0.89/0.61 thf(c_0_24, plain, ![X129:$i, X128:$i]:((~(a @ X129 @ X128)|((![X119:reg]:(((c @ X119 @ paris)=>(c @ X119 @ france)))&~(![X120:reg]:(((c @ X120 @ france)=>(c @ X120 @ paris)))))&~(?[X121:reg]:((((c @ X121 @ paris)&~(?[X122:reg]:((![X123:reg]:(((c @ X123 @ X122)=>(c @ X123 @ X121)))&![X124:reg]:(((c @ X124 @ X122)=>(c @ X124 @ paris)))))))&((c @ X121 @ france)&~(?[X125:reg]:((![X126:reg]:(((c @ X126 @ X125)=>(c @ X126 @ X121)))&![X127:reg]:(((c @ X127 @ X125)=>(c @ X127 @ 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_22])])). 0.89/0.61 thf(c_0_25, negated_conjecture, ~(![X94:$i, X93:$i]:((~(a @ X94 @ X93)|![X22:reg]:(((?[X87:reg]:((![X88:reg]:(((c @ X88 @ X87)=>(c @ X88 @ X22)))&![X89:reg]:(((c @ X89 @ X87)=>(c @ X89 @ catalunya)))))|?[X90:reg]:((![X91:reg]:(((c @ X91 @ X90)=>(c @ X91 @ X22)))&![X92:reg]:(((c @ X92 @ X90)=>(c @ X92 @ paris))))))=>(?[X81:reg]:((![X82:reg]:(((c @ X82 @ X81)=>(c @ X82 @ X22)))&![X83:reg]:(((c @ X83 @ X81)=>(c @ X83 @ spain)))))|?[X84:reg]:((![X85:reg]:(((c @ X85 @ X84)=>(c @ X85 @ X22)))&![X86:reg]:(((c @ X86 @ X84)=>(c @ X86 @ 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)],[inference(assume_negation,[status(cth)],[con])]), c_0_20]), c_0_21]), c_0_15])])). 0.89/0.61 thf(c_0_26, 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_23, c_0_18]), c_0_19])). 0.89/0.61 thf(c_0_27, plain, ![X176:$i, X177:$i, X178:reg, X180:reg, X182:reg, X183:reg, X185:reg, X186:reg]:((((~(c @ X178 @ paris)|(c @ X178 @ france)|~(a @ X176 @ X177))&(((c @ esk20_0 @ france)|~(a @ X176 @ X177))&(~(c @ esk20_0 @ paris)|~(a @ X176 @ X177))))&(((~(c @ X185 @ (esk22_1 @ X180))|(c @ X185 @ X180)|~(c @ X180 @ france)|(~(c @ X182 @ (esk21_1 @ X180))|(c @ X182 @ X180)|~(c @ X180 @ paris))|~(a @ X176 @ X177))&(~(c @ X186 @ (esk22_1 @ X180))|(c @ X186 @ france)|~(c @ X180 @ france)|(~(c @ X182 @ (esk21_1 @ X180))|(c @ X182 @ X180)|~(c @ X180 @ paris))|~(a @ X176 @ X177)))&((~(c @ X185 @ (esk22_1 @ X180))|(c @ X185 @ X180)|~(c @ X180 @ france)|(~(c @ X183 @ (esk21_1 @ X180))|(c @ X183 @ paris)|~(c @ X180 @ paris))|~(a @ X176 @ X177))&(~(c @ X186 @ (esk22_1 @ X180))|(c @ X186 @ france)|~(c @ X180 @ france)|(~(c @ X183 @ (esk21_1 @ X180))|(c @ X183 @ paris)|~(c @ X180 @ paris))|~(a @ X176 @ X177)))))), 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_24])])])])])])])). 0.89/0.61 thf(c_0_28, plain, (~((epred8_0))<=>![X3:$i, X14:$i]:(~((a @ X3 @ X14)))), introduced(definition)). 0.89/0.61 thf(c_0_29, negated_conjecture, ![X141:reg, X142:reg, X144:reg, X145:reg, X146:reg, X149:reg]:(((a @ esk1_0 @ esk2_0)&((((~(c @ X144 @ esk5_0)|(c @ X144 @ esk3_0)|(~(c @ X141 @ esk4_0)|(c @ X141 @ esk3_0)))&(~(c @ X145 @ esk5_0)|(c @ X145 @ paris)|(~(c @ X141 @ esk4_0)|(c @ X141 @ esk3_0))))&((~(c @ X144 @ esk5_0)|(c @ X144 @ esk3_0)|(~(c @ X142 @ esk4_0)|(c @ X142 @ catalunya)))&(~(c @ X145 @ esk5_0)|(c @ X145 @ paris)|(~(c @ X142 @ esk4_0)|(c @ X142 @ catalunya)))))&(((((c @ (esk7_1 @ X146) @ X146)|(c @ (esk6_1 @ X146) @ X146))&(~(c @ (esk7_1 @ X146) @ spain)|(c @ (esk6_1 @ X146) @ X146)))&(((c @ (esk7_1 @ X146) @ X146)|~(c @ (esk6_1 @ X146) @ esk3_0))&(~(c @ (esk7_1 @ X146) @ spain)|~(c @ (esk6_1 @ X146) @ esk3_0))))&((((c @ (esk9_1 @ X149) @ X149)|(c @ (esk8_1 @ X149) @ X149))&(~(c @ (esk9_1 @ X149) @ france)|(c @ (esk8_1 @ X149) @ X149)))&(((c @ (esk9_1 @ X149) @ X149)|~(c @ (esk8_1 @ X149) @ esk3_0))&(~(c @ (esk9_1 @ X149) @ france)|~(c @ (esk8_1 @ X149) @ esk3_0)))))))), 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_25])])])])])])). 0.89/0.61 thf(c_0_30, plain, ![X113:$i, X112:$i]:((~(a @ X113 @ X112)|((![X103:reg]:(((c @ X103 @ catalunya)=>(c @ X103 @ spain)))&~(![X104:reg]:(((c @ X104 @ spain)=>(c @ X104 @ catalunya)))))&?[X105:reg]:((((c @ X105 @ catalunya)&~(?[X106:reg]:((![X107:reg]:(((c @ X107 @ X106)=>(c @ X107 @ X105)))&![X108:reg]:(((c @ X108 @ X106)=>(c @ X108 @ catalunya)))))))&((c @ X105 @ spain)&~(?[X109:reg]:((![X110:reg]:(((c @ X110 @ X109)=>(c @ X110 @ X105)))&![X111:reg]:(((c @ X111 @ X109)=>(c @ X111 @ 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_26])])). 0.89/0.61 thf(c_0_31, plain, (~((epred7_0))<=>![X18:reg]:(((c @ X18 @ france)|~((c @ X18 @ paris))))), introduced(definition)). 0.89/0.61 thf(c_0_32, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_27])). 0.89/0.61 thf(c_0_33, plain, ![X3:$i, X14:$i]:(((epred8_0)|~((a @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_28])). 0.89/0.61 thf(c_0_34, negated_conjecture, (a @ esk1_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_29])). 0.89/0.61 thf(c_0_35, plain, ![X160:$i, X161:$i, X162:reg, X165:reg, X168:reg]:((((~(c @ X162 @ catalunya)|(c @ X162 @ spain)|~(a @ X160 @ X161))&(((c @ esk12_0 @ spain)|~(a @ X160 @ X161))&(~(c @ esk12_0 @ catalunya)|~(a @ X160 @ X161))))&((((c @ esk13_0 @ catalunya)|~(a @ X160 @ X161))&((((c @ (esk15_1 @ X165) @ X165)|(c @ (esk14_1 @ X165) @ X165)|~(a @ X160 @ X161))&(~(c @ (esk15_1 @ X165) @ catalunya)|(c @ (esk14_1 @ X165) @ X165)|~(a @ X160 @ X161)))&(((c @ (esk15_1 @ X165) @ X165)|~(c @ (esk14_1 @ X165) @ esk13_0)|~(a @ X160 @ X161))&(~(c @ (esk15_1 @ X165) @ catalunya)|~(c @ (esk14_1 @ X165) @ esk13_0)|~(a @ X160 @ X161)))))&(((c @ esk13_0 @ spain)|~(a @ X160 @ X161))&((((c @ (esk17_1 @ X168) @ X168)|(c @ (esk16_1 @ X168) @ X168)|~(a @ X160 @ X161))&(~(c @ (esk17_1 @ X168) @ spain)|(c @ (esk16_1 @ X168) @ X168)|~(a @ X160 @ X161)))&(((c @ (esk17_1 @ X168) @ X168)|~(c @ (esk16_1 @ X168) @ esk13_0)|~(a @ X160 @ X161))&(~(c @ (esk17_1 @ X168) @ spain)|~(c @ (esk16_1 @ X168) @ esk13_0)|~(a @ X160 @ X161)))))))), 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_30])])])])])])])). 0.89/0.61 thf(c_0_36, plain, (~((epred10_0))<=>![X3:$i, X14:$i]:(~((a @ X3 @ X14)))), introduced(definition)). 0.89/0.61 thf(c_0_37, plain, (~((epred8_0))|~((epred7_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_32, c_0_31]), c_0_28])). 0.89/0.61 thf(c_0_38, negated_conjecture, (epred8_0), inference(spm,[status(thm)],[c_0_33, c_0_34])). 0.89/0.61 thf(c_0_39, plain, (~((epred15_0))<=>![X18:reg]:(((c @ X18 @ paris)|~((c @ X18 @ esk5_0))))), introduced(definition)). 0.89/0.61 thf(c_0_40, plain, (~((epred9_0))<=>![X18:reg]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya))))), introduced(definition)). 0.89/0.61 thf(c_0_41, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_35])). 0.89/0.61 thf(c_0_42, plain, ![X3:$i, X14:$i]:(((epred10_0)|~((a @ X3 @ X14)))), inference(split_equiv,[status(thm)],[c_0_36])). 0.89/0.61 thf(c_0_43, plain, ![X18:reg]:(((c @ X18 @ france)|(epred7_0)|~((c @ X18 @ paris)))), inference(split_equiv,[status(thm)],[c_0_31])). 0.89/0.61 thf(c_0_44, plain, ~((epred7_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])). 0.89/0.61 thf(c_0_45, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|(epred15_0)|~((c @ X18 @ esk5_0)))), inference(split_equiv,[status(thm)],[c_0_39])). 0.89/0.61 thf(c_0_46, negated_conjecture, ![X18:reg]:(((c @ (esk9_1 @ X18) @ X18)|(c @ (esk8_1 @ X18) @ X18))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.89/0.61 thf(c_0_47, plain, (~((epred10_0))|~((epred9_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_41, c_0_40]), c_0_36])). 0.89/0.61 thf(c_0_48, negated_conjecture, (epred10_0), inference(spm,[status(thm)],[c_0_42, c_0_34])). 0.89/0.61 thf(c_0_49, plain, (~((epred16_0))<=>![X19:reg]:(((c @ X19 @ catalunya)|~((c @ X19 @ esk4_0))))), introduced(definition)). 0.89/0.61 thf(c_0_50, plain, (~((epred23_0))<=>![X18:reg]:(((c @ X18 @ esk3_0)|~((c @ X18 @ esk5_0))))), introduced(definition)). 0.89/0.61 thf(c_0_51, plain, ![X18:reg]:(((c @ X18 @ france)|~((c @ X18 @ paris)))), inference(sr,[status(thm)],[c_0_43, c_0_44])). 0.89/0.61 thf(c_0_52, negated_conjecture, ((c @ (esk8_1 @ esk5_0) @ esk5_0)|(c @ (esk9_1 @ esk5_0) @ paris)|(epred15_0)), inference(spm,[status(thm)],[c_0_45, c_0_46])). 0.89/0.61 thf(c_0_53, negated_conjecture, ![X18:reg]:(((c @ (esk8_1 @ X18) @ X18)|~((c @ (esk9_1 @ X18) @ france)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.89/0.61 thf(c_0_54, plain, ![X38:reg, X39:reg]:(((c @ X38 @ X39)=>(c @ X39 @ X38))), inference(fof_simplification,[status(thm)],[c_symmetric])). 0.89/0.61 thf(c_0_55, plain, ![X18:reg]:(((c @ X18 @ spain)|(epred9_0)|~((c @ X18 @ catalunya)))), inference(split_equiv,[status(thm)],[c_0_40])). 0.89/0.61 thf(c_0_56, plain, ~((epred9_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47, c_0_48])])). 0.89/0.61 thf(c_0_57, negated_conjecture, ![X18:reg]:(((c @ X18 @ catalunya)|(epred16_0)|~((c @ X18 @ esk4_0)))), inference(split_equiv,[status(thm)],[c_0_49])). 0.89/0.61 thf(c_0_58, negated_conjecture, ![X18:reg]:(((c @ (esk7_1 @ X18) @ X18)|(c @ (esk6_1 @ X18) @ X18))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.89/0.61 thf(c_0_59, negated_conjecture, ![X18:reg]:(((c @ X18 @ esk3_0)|(epred23_0)|~((c @ X18 @ esk5_0)))), inference(split_equiv,[status(thm)],[c_0_50])). 0.89/0.61 thf(c_0_60, negated_conjecture, ((c @ (esk8_1 @ esk5_0) @ esk5_0)|(epred15_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_53])). 0.89/0.61 thf(c_0_61, plain, ![X135:reg, X136:reg]:((~(c @ X135 @ X136)|(c @ X136 @ X135))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])])])). 0.89/0.61 thf(c_0_62, plain, (~((epred28_0))<=>![X19:reg]:(((c @ X19 @ esk3_0)|~((c @ X19 @ esk4_0))))), introduced(definition)). 0.89/0.61 thf(c_0_63, plain, ![X18:reg]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya)))), inference(sr,[status(thm)],[c_0_55, c_0_56])). 0.89/0.61 thf(c_0_64, negated_conjecture, ((c @ (esk6_1 @ esk4_0) @ esk4_0)|(c @ (esk7_1 @ esk4_0) @ catalunya)|(epred16_0)), inference(spm,[status(thm)],[c_0_57, c_0_58])). 0.89/0.61 thf(c_0_65, negated_conjecture, ![X18:reg]:(((c @ (esk6_1 @ X18) @ X18)|~((c @ (esk7_1 @ X18) @ spain)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.89/0.61 thf(c_0_66, negated_conjecture, ![X18:reg]:(((c @ (esk9_1 @ X18) @ X18)|~((c @ (esk8_1 @ X18) @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.89/0.61 thf(c_0_67, negated_conjecture, ![X18:reg]:((~((c @ (esk9_1 @ X18) @ france))|~((c @ (esk8_1 @ X18) @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.89/0.61 thf(c_0_68, negated_conjecture, ((c @ (esk8_1 @ esk5_0) @ esk3_0)|(epred15_0)|(epred23_0)), inference(spm,[status(thm)],[c_0_59, c_0_60])). 0.89/0.61 thf(c_0_69, plain, ![X18:reg, X19:reg]:(((c @ X19 @ X18)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_61])). 0.89/0.61 thf(c_0_70, negated_conjecture, ![X18:reg]:(((c @ X18 @ esk3_0)|(epred28_0)|~((c @ X18 @ esk4_0)))), inference(split_equiv,[status(thm)],[c_0_62])). 0.89/0.61 thf(c_0_71, negated_conjecture, ((c @ (esk6_1 @ esk4_0) @ esk4_0)|(epred16_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_64]), c_0_65])). 0.89/0.61 thf(c_0_72, negated_conjecture, ((c @ (esk9_1 @ esk5_0) @ paris)|(epred15_0)|~((c @ (esk8_1 @ esk5_0) @ esk3_0))), inference(spm,[status(thm)],[c_0_45, c_0_66])). 0.89/0.61 thf(c_0_73, negated_conjecture, ((epred23_0)|(epred15_0)|~((c @ (esk9_1 @ esk5_0) @ france))), inference(spm,[status(thm)],[c_0_67, c_0_68])). 0.89/0.61 thf(c_0_74, plain, ![X18:reg]:(((c @ X18 @ france)|~((c @ paris @ X18)))), inference(spm,[status(thm)],[c_0_51, c_0_69])). 0.89/0.61 thf(c_0_75, negated_conjecture, ![X18:reg]:(((c @ (esk7_1 @ X18) @ X18)|~((c @ (esk6_1 @ X18) @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.89/0.61 thf(c_0_76, negated_conjecture, ![X18:reg]:((~((c @ (esk7_1 @ X18) @ spain))|~((c @ (esk6_1 @ X18) @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.89/0.61 thf(c_0_77, negated_conjecture, ((c @ (esk6_1 @ esk4_0) @ esk3_0)|(epred16_0)|(epred28_0)), inference(spm,[status(thm)],[c_0_70, c_0_71])). 0.89/0.61 thf(c_0_78, plain, (~((epred24_0))<=>![X19:reg]:(((c @ X19 @ catalunya)|~((c @ X19 @ esk4_0))))), introduced(definition)). 0.89/0.61 thf(c_0_79, negated_conjecture, ![X18:reg, X19:reg]:(((c @ X18 @ paris)|(c @ X19 @ catalunya)|~((c @ X18 @ esk5_0))|~((c @ X19 @ esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.89/0.61 thf(c_0_80, negated_conjecture, ((c @ (esk9_1 @ esk5_0) @ paris)|(epred23_0)|(epred15_0)), inference(spm,[status(thm)],[c_0_72, c_0_68])). 0.89/0.61 thf(c_0_81, negated_conjecture, ((epred15_0)|(epred23_0)|~((c @ paris @ (esk9_1 @ esk5_0)))), inference(spm,[status(thm)],[c_0_73, c_0_74])). 0.89/0.61 thf(c_0_82, negated_conjecture, ((c @ (esk7_1 @ esk4_0) @ catalunya)|(epred16_0)|~((c @ (esk6_1 @ esk4_0) @ esk3_0))), inference(spm,[status(thm)],[c_0_57, c_0_75])). 0.89/0.61 thf(c_0_83, negated_conjecture, ((epred28_0)|(epred16_0)|~((c @ (esk7_1 @ esk4_0) @ spain))), inference(spm,[status(thm)],[c_0_76, c_0_77])). 0.89/0.61 thf(c_0_84, plain, ![X18:reg]:(((c @ X18 @ spain)|~((c @ catalunya @ X18)))), inference(spm,[status(thm)],[c_0_63, c_0_69])). 0.89/0.61 thf(c_0_85, plain, (~((epred27_0))<=>![X18:reg]:(((c @ X18 @ esk3_0)|~((c @ X18 @ esk5_0))))), introduced(definition)). 0.89/0.61 thf(c_0_86, negated_conjecture, ![X18:reg]:(((c @ X18 @ catalunya)|(epred24_0)|~((c @ X18 @ esk4_0)))), inference(split_equiv,[status(thm)],[c_0_78])). 0.89/0.61 thf(c_0_87, negated_conjecture, (~((epred16_0))|~((epred15_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_79, c_0_39]), c_0_49])). 0.89/0.61 thf(c_0_88, negated_conjecture, ((epred15_0)|(epred23_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_80]), c_0_81])). 0.89/0.61 thf(c_0_89, negated_conjecture, ((c @ (esk7_1 @ esk4_0) @ catalunya)|(epred28_0)|(epred16_0)), inference(spm,[status(thm)],[c_0_82, c_0_77])). 0.89/0.61 thf(c_0_90, negated_conjecture, ((epred16_0)|(epred28_0)|~((c @ catalunya @ (esk7_1 @ esk4_0)))), inference(spm,[status(thm)],[c_0_83, c_0_84])). 0.89/0.61 thf(c_0_91, negated_conjecture, ![X18:reg]:(((c @ X18 @ esk3_0)|(epred27_0)|~((c @ X18 @ esk5_0)))), inference(split_equiv,[status(thm)],[c_0_85])). 0.89/0.61 thf(c_0_92, plain, (~((epred26_0))<=>![X19:reg]:(((c @ X19 @ esk3_0)|~((c @ X19 @ esk4_0))))), introduced(definition)). 0.89/0.61 thf(c_0_93, negated_conjecture, ((c @ (esk6_1 @ esk4_0) @ esk4_0)|(c @ (esk7_1 @ esk4_0) @ catalunya)|(epred24_0)), inference(spm,[status(thm)],[c_0_86, c_0_58])). 0.89/0.61 thf(c_0_94, negated_conjecture, ![X18:reg]:(((c @ (esk6_1 @ X18) @ X18)|~((c @ catalunya @ (esk7_1 @ X18))))), inference(spm,[status(thm)],[c_0_65, c_0_84])). 0.89/0.61 thf(c_0_95, negated_conjecture, ![X18:reg, X19:reg]:(((c @ X18 @ esk3_0)|(c @ X19 @ catalunya)|~((c @ X18 @ esk5_0))|~((c @ X19 @ esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.89/0.61 thf(c_0_96, negated_conjecture, ((epred23_0)|~((epred16_0))), inference(spm,[status(thm)],[c_0_87, c_0_88])). 0.89/0.61 thf(c_0_97, negated_conjecture, ((epred16_0)|(epred28_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_89]), c_0_90])). 0.89/0.61 thf(c_0_98, negated_conjecture, ((c @ (esk8_1 @ esk5_0) @ esk3_0)|(epred15_0)|(epred27_0)), inference(spm,[status(thm)],[c_0_91, c_0_60])). 0.89/0.61 thf(c_0_99, negated_conjecture, ![X18:reg]:(((c @ X18 @ esk3_0)|(epred26_0)|~((c @ X18 @ esk4_0)))), inference(split_equiv,[status(thm)],[c_0_92])). 0.89/0.61 thf(c_0_100, negated_conjecture, ((c @ (esk6_1 @ esk4_0) @ esk4_0)|(epred24_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_93]), c_0_94])). 0.89/0.61 thf(c_0_101, negated_conjecture, (~((epred24_0))|~((epred23_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_95, c_0_50]), c_0_78])). 0.89/0.61 thf(c_0_102, negated_conjecture, ((epred28_0)|(epred23_0)), inference(spm,[status(thm)],[c_0_96, c_0_97])). 0.89/0.61 thf(c_0_103, negated_conjecture, ((epred27_0)|(epred15_0)|~((c @ (esk9_1 @ esk5_0) @ france))), inference(spm,[status(thm)],[c_0_67, c_0_98])). 0.89/0.61 thf(c_0_104, negated_conjecture, ((c @ (esk6_1 @ esk4_0) @ esk3_0)|(epred16_0)|(epred26_0)), inference(spm,[status(thm)],[c_0_99, c_0_71])). 0.89/0.61 thf(c_0_105, negated_conjecture, ![X18:reg]:(((c @ (esk6_1 @ X18) @ X18)|(c @ X18 @ (esk7_1 @ X18)))), inference(spm,[status(thm)],[c_0_69, c_0_58])). 0.89/0.61 thf(c_0_106, negated_conjecture, ![X18:reg]:(((c @ X18 @ (esk7_1 @ X18))|~((c @ (esk6_1 @ X18) @ esk3_0)))), inference(spm,[status(thm)],[c_0_69, c_0_75])). 0.89/0.61 thf(c_0_107, negated_conjecture, ![X18:reg]:((~((c @ (esk7_1 @ X18) @ spain))|~((c @ esk3_0 @ (esk6_1 @ X18))))), inference(spm,[status(thm)],[c_0_76, c_0_69])). 0.89/0.61 thf(c_0_108, negated_conjecture, ((c @ (esk6_1 @ esk4_0) @ esk3_0)|(epred24_0)|(epred28_0)), inference(spm,[status(thm)],[c_0_70, c_0_100])). 0.89/0.61 thf(c_0_109, negated_conjecture, ((epred28_0)|~((epred24_0))), inference(spm,[status(thm)],[c_0_101, c_0_102])). 0.89/0.61 thf(c_0_110, negated_conjecture, ((c @ (esk9_1 @ esk5_0) @ paris)|(epred27_0)|(epred15_0)), inference(spm,[status(thm)],[c_0_72, c_0_98])). 0.89/0.61 thf(c_0_111, negated_conjecture, ((epred15_0)|(epred27_0)|~((c @ paris @ (esk9_1 @ esk5_0)))), inference(spm,[status(thm)],[c_0_103, c_0_74])). 0.89/0.61 thf(c_0_112, negated_conjecture, ((epred26_0)|(epred16_0)|~((c @ (esk7_1 @ esk4_0) @ spain))), inference(spm,[status(thm)],[c_0_76, c_0_104])). 0.89/0.61 thf(c_0_113, negated_conjecture, ![X18:reg]:(((c @ X18 @ catalunya)|(epred24_0)|~((c @ esk4_0 @ X18)))), inference(spm,[status(thm)],[c_0_86, c_0_69])). 0.89/0.61 thf(c_0_114, negated_conjecture, ((c @ esk4_0 @ (esk7_1 @ esk4_0))|(epred28_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_105]), c_0_106])). 0.89/0.61 thf(c_0_115, negated_conjecture, ![X18:reg]:((~((c @ esk3_0 @ (esk6_1 @ X18)))|~((c @ catalunya @ (esk7_1 @ X18))))), inference(spm,[status(thm)],[c_0_107, c_0_84])). 0.89/0.61 thf(c_0_116, negated_conjecture, ((c @ esk3_0 @ (esk6_1 @ esk4_0))|(epred28_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_108]), c_0_109])). 0.89/0.61 thf(c_0_117, plain, (~((epred25_0))<=>![X18:reg]:(((c @ X18 @ paris)|~((c @ X18 @ esk5_0))))), introduced(definition)). 0.89/0.61 thf(c_0_118, negated_conjecture, ((epred15_0)|(epred27_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_110]), c_0_111])). 0.89/0.61 thf(c_0_119, negated_conjecture, ((c @ (esk7_1 @ esk4_0) @ catalunya)|(epred26_0)|(epred16_0)), inference(spm,[status(thm)],[c_0_82, c_0_104])). 0.89/0.61 thf(c_0_120, negated_conjecture, ((epred16_0)|(epred26_0)|~((c @ catalunya @ (esk7_1 @ esk4_0)))), inference(spm,[status(thm)],[c_0_112, c_0_84])). 0.89/0.61 thf(c_0_121, negated_conjecture, ![X18:reg, X19:reg]:(((c @ X18 @ esk3_0)|(c @ X19 @ esk3_0)|~((c @ X18 @ esk5_0))|~((c @ X19 @ esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.89/0.61 thf(c_0_122, negated_conjecture, ((c @ (esk7_1 @ esk4_0) @ catalunya)|(epred28_0)|(epred24_0)), inference(spm,[status(thm)],[c_0_113, c_0_114])). 0.89/0.61 thf(c_0_123, negated_conjecture, ((epred28_0)|~((c @ catalunya @ (esk7_1 @ esk4_0)))), inference(spm,[status(thm)],[c_0_115, c_0_116])). 0.89/0.61 thf(c_0_124, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|(epred25_0)|~((c @ X18 @ esk5_0)))), inference(split_equiv,[status(thm)],[c_0_117])). 0.89/0.61 thf(c_0_125, negated_conjecture, ((epred27_0)|~((epred16_0))), inference(spm,[status(thm)],[c_0_87, c_0_118])). 0.89/0.61 thf(c_0_126, negated_conjecture, ((epred16_0)|(epred26_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_119]), c_0_120])). 0.89/0.61 thf(c_0_127, negated_conjecture, (~((epred28_0))|~((epred27_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_121, c_0_85]), c_0_62])). 0.89/0.61 thf(c_0_128, negated_conjecture, (epred28_0), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_122]), c_0_109]), c_0_123])). 0.89/0.61 thf(c_0_129, negated_conjecture, ((c @ (esk8_1 @ esk5_0) @ esk5_0)|(c @ (esk9_1 @ esk5_0) @ paris)|(epred25_0)), inference(spm,[status(thm)],[c_0_124, c_0_46])). 0.89/0.61 thf(c_0_130, negated_conjecture, ![X18:reg]:(((c @ (esk8_1 @ X18) @ X18)|~((c @ paris @ (esk9_1 @ X18))))), inference(spm,[status(thm)],[c_0_53, c_0_74])). 0.89/0.61 thf(c_0_131, negated_conjecture, ![X18:reg, X19:reg]:(((c @ X18 @ paris)|(c @ X19 @ esk3_0)|~((c @ X18 @ esk5_0))|~((c @ X19 @ esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.89/0.61 thf(c_0_132, negated_conjecture, ((epred26_0)|(epred27_0)), inference(spm,[status(thm)],[c_0_125, c_0_126])). 0.89/0.61 thf(c_0_133, negated_conjecture, ~((epred27_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127, c_0_128])])). 0.89/0.61 thf(c_0_134, negated_conjecture, ((c @ (esk8_1 @ esk5_0) @ esk5_0)|(epred25_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_129]), c_0_130])). 0.89/0.61 thf(c_0_135, negated_conjecture, (~((epred26_0))|~((epred25_0))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_131, c_0_117]), c_0_92])). 0.89/0.61 thf(c_0_136, negated_conjecture, (epred26_0), inference(sr,[status(thm)],[c_0_132, c_0_133])). 0.89/0.61 thf(c_0_137, negated_conjecture, ![X18:reg]:(((c @ (esk8_1 @ X18) @ X18)|(c @ X18 @ (esk9_1 @ X18)))), inference(spm,[status(thm)],[c_0_69, c_0_46])). 0.89/0.61 thf(c_0_138, negated_conjecture, ![X18:reg]:(((c @ X18 @ (esk9_1 @ X18))|~((c @ (esk8_1 @ X18) @ esk3_0)))), inference(spm,[status(thm)],[c_0_69, c_0_66])). 0.89/0.61 thf(c_0_139, negated_conjecture, ((c @ (esk8_1 @ esk5_0) @ esk3_0)|(epred25_0)|(epred27_0)), inference(spm,[status(thm)],[c_0_91, c_0_134])). 0.89/0.61 thf(c_0_140, negated_conjecture, ~((epred25_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135, c_0_136])])). 0.89/0.61 thf(c_0_141, negated_conjecture, ((c @ esk5_0 @ (esk9_1 @ esk5_0))|(epred27_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_137]), c_0_138])). 0.89/0.61 thf(c_0_142, negated_conjecture, (c @ (esk8_1 @ esk5_0) @ esk3_0), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_139, c_0_133]), c_0_140])). 0.89/0.61 thf(c_0_143, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|(epred25_0)|~((c @ esk5_0 @ X18)))), inference(spm,[status(thm)],[c_0_124, c_0_69])). 0.89/0.61 thf(c_0_144, negated_conjecture, (c @ esk5_0 @ (esk9_1 @ esk5_0)), inference(sr,[status(thm)],[c_0_141, c_0_133])). 0.89/0.61 thf(c_0_145, negated_conjecture, ~((c @ (esk9_1 @ esk5_0) @ france)), inference(spm,[status(thm)],[c_0_67, c_0_142])). 0.89/0.61 thf(c_0_146, negated_conjecture, (c @ (esk9_1 @ esk5_0) @ paris), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_143, c_0_144]), c_0_140])). 0.89/0.61 thf(c_0_147, negated_conjecture, ~((c @ paris @ (esk9_1 @ esk5_0))), inference(spm,[status(thm)],[c_0_145, c_0_74])). 0.89/0.61 thf(c_0_148, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_146]), c_0_147]), ['proof']). 0.89/0.61 # SZS output end CNFRefutation 0.89/0.61 # Parsed axioms : 98 0.89/0.61 # Removed by relevancy pruning/SinE : 0 0.89/0.61 # Initial clauses : 95 0.89/0.61 # Removed in clause preprocessing : 49 0.89/0.61 # Initial clauses in saturation : 46 0.89/0.61 # Processed clauses : 1378 0.89/0.61 # ...of these trivial : 52 0.89/0.61 # ...subsumed : 347 0.89/0.61 # ...remaining for further processing : 979 0.89/0.61 # Other redundant clauses eliminated : 0 0.89/0.61 # Clauses deleted for lack of memory : 0 0.89/0.61 # Backward-subsumed : 127 0.89/0.61 # Backward-rewritten : 204 0.89/0.61 # Generated clauses : 2006 0.89/0.61 # ...of the previous two non-redundant : 1889 0.89/0.61 # ...aggressively subsumed : 0 0.89/0.61 # Contextual simplify-reflections : 43 0.89/0.61 # Paramodulations : 1831 0.89/0.61 # Factorizations : 0 0.89/0.61 # NegExts : 0 0.89/0.61 # Equation resolutions : 0 0.89/0.61 # Disequality decompositions : 0 0.89/0.61 # Total rewrite steps : 397 0.89/0.61 # ...of those cached : 303 0.89/0.61 # Propositional unsat checks : 0 0.89/0.61 # Propositional check models : 0 0.89/0.61 # Propositional check unsatisfiable : 0 0.89/0.61 # Propositional clauses : 0 0.89/0.61 # Propositional clauses after purity: 0 0.89/0.61 # Propositional unsat core size : 0 0.89/0.61 # Propositional preprocessing time : 0.000 0.89/0.61 # Propositional encoding time : 0.000 0.89/0.61 # Propositional solver time : 0.000 0.89/0.61 # Success case prop preproc time : 0.000 0.89/0.61 # Success case prop encoding time : 0.000 0.89/0.61 # Success case prop solver time : 0.000 0.89/0.61 # Current number of processed clauses : 427 0.89/0.61 # Positive orientable unit clauses : 107 0.89/0.61 # Positive unorientable unit clauses: 0 0.89/0.61 # Negative unit clauses : 55 0.89/0.61 # Non-unit-clauses : 265 0.89/0.61 # Current number of unprocessed clauses: 568 0.89/0.61 # ...number of literals in the above : 1902 0.89/0.61 # Current number of archived formulas : 0 0.89/0.61 # Current number of archived clauses : 530 0.89/0.61 # Clause-clause subsumption calls (NU) : 79421 0.89/0.61 # Rec. Clause-clause subsumption calls : 44289 0.89/0.61 # Non-unit clause-clause subsumptions : 454 0.89/0.61 # Unit Clause-clause subsumption calls : 7943 0.89/0.61 # Rewrite failures with RHS unbound : 0 0.89/0.61 # BW rewrite match attempts : 68 0.89/0.61 # BW rewrite match successes : 54 0.89/0.61 # Condensation attempts : 1395 0.89/0.61 # Condensation successes : 0 0.89/0.61 # Termbank termtop insertions : 27056 0.89/0.61 # Search garbage collected termcells : 2260 0.89/0.61 0.89/0.61 # ------------------------------------------------- 0.89/0.61 # User time : 0.100 s 0.89/0.61 # System time : 0.005 s 0.89/0.61 # Total time : 0.105 s 0.89/0.61 # Maximum resident set size: 2336 pages 0.89/0.61 0.89/0.61 # ------------------------------------------------- 0.89/0.61 # User time : 0.102 s 0.89/0.61 # System time : 0.007 s 0.89/0.61 # Total time : 0.109 s 0.89/0.61 # Maximum resident set size: 1836 pages 0.89/0.61 % E exiting 0.89/0.61 % E exiting 0.89/0.61 EOF