0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.12 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.12/0.33 % Computer : n029.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1920 0.12/0.33 % WCLimit : 240 0.12/0.33 % DateTime : Wed Jul 30 03:50:49 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.47 Running higher-order theorem proving 0.19/0.48 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=240 /export/starexec/sandbox2/tmp/tmp.9Jj7wa8Uul/E---3.1_2192.p 596.04/75.66 # Version: 3.0.0-ho 596.04/75.66 # Preprocessing class: HSMSSMSSMLLNHSN. 596.04/75.66 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 596.04/75.66 # Starting new_ho_10_cnf2 with 1200s (5) cores 596.04/75.66 # Starting post_as_ho3 with 240s (1) cores 596.04/75.66 # Starting new_ho_12 with 240s (1) cores 596.04/75.66 # Starting new_bool_2 with 240s (1) cores 596.04/75.66 # new_ho_10_cnf2 with pid 2271 completed with status 0 596.04/75.66 # Result found by new_ho_10_cnf2 596.04/75.66 # Preprocessing class: HSMSSMSSMLLNHSN. 596.04/75.66 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 596.04/75.66 # Starting new_ho_10_cnf2 with 1200s (5) cores 596.04/75.66 # No SInE strategy applied 596.04/75.66 # Search class: HGHNF-FFMF31-SHSSMFBN 596.04/75.66 # partial match(2): HGHNF-FFMF21-SHSSMSBN 596.04/75.66 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 596.04/75.66 # Starting new_ho_9 with 649s (1) cores 596.04/75.66 # Starting new_ho_10_cnf2 with 121s (1) cores 596.04/75.66 # Starting pre_casc_8 with 109s (1) cores 596.04/75.66 # Starting post_as_ho2 with 109s (1) cores 596.04/75.66 # Starting post_as_ho1 with 109s (1) cores 596.04/75.66 # pre_casc_8 with pid 2280 completed with status 0 596.04/75.66 # Result found by pre_casc_8 596.04/75.66 # Preprocessing class: HSMSSMSSMLLNHSN. 596.04/75.66 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 596.04/75.66 # Starting new_ho_10_cnf2 with 1200s (5) cores 596.04/75.66 # No SInE strategy applied 596.04/75.66 # Search class: HGHNF-FFMF31-SHSSMFBN 596.04/75.66 # partial match(2): HGHNF-FFMF21-SHSSMSBN 596.04/75.66 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 596.04/75.66 # Starting new_ho_9 with 649s (1) cores 596.04/75.66 # Starting new_ho_10_cnf2 with 121s (1) cores 596.04/75.66 # Starting pre_casc_8 with 109s (1) cores 596.04/75.66 # Preprocessing time : 0.005 s 596.04/75.66 # Presaturation interreduction done 596.04/75.66 596.04/75.66 # Proof found! 596.04/75.66 # SZS status Theorem 596.04/75.66 # SZS output start CNFRefutation 596.04/75.66 thf(decl_sort1, type, reg: $tType). 596.04/75.66 thf(decl_38, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 596.04/75.66 thf(decl_50, type, mvalid: ($i > $o) > $o). 596.04/75.66 thf(decl_54, type, c: reg > reg > $o). 596.04/75.66 thf(decl_56, type, p: reg > reg > $o). 596.04/75.66 thf(decl_57, type, eq: reg > reg > $o). 596.04/75.66 thf(decl_58, type, o: reg > reg > $o). 596.04/75.66 thf(decl_60, type, ec: reg > reg > $o). 596.04/75.66 thf(decl_61, type, pp: reg > reg > $o). 596.04/75.66 thf(decl_63, type, ntpp: reg > reg > $o). 596.04/75.66 thf(decl_65, type, france: reg). 596.04/75.66 thf(decl_67, type, paris: reg). 596.04/75.66 thf(decl_68, type, a: $i > $i > $o). 596.04/75.66 thf(decl_72, type, esk3_0: $i). 596.04/75.66 thf(decl_73, type, esk4_0: $i). 596.04/75.66 thf(decl_74, type, esk5_3: reg > reg > reg > reg). 596.04/75.66 thf(decl_75, type, esk6_3: reg > reg > reg > reg). 596.04/75.66 thf(decl_76, type, esk7_3: reg > reg > reg > reg). 596.04/75.66 thf(decl_77, type, esk8_3: reg > reg > reg > reg). 596.04/75.66 thf(decl_80, type, esk11_0: reg). 596.04/75.66 thf(decl_81, type, esk12_1: reg > reg). 596.04/75.66 thf(decl_82, type, esk13_1: reg > reg). 596.04/75.66 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:(((p @ X22 @ X25)&(p @ X22 @ X26)))))), file('/export/starexec/sandbox2/tmp/tmp.9Jj7wa8Uul/E---3.1_2192.p', o)). 596.04/75.66 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:(((c @ X22 @ X20)=>(c @ X22 @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.9Jj7wa8Uul/E---3.1_2192.p', p)). 596.04/75.66 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:(((c @ X29 @ X30)&~((o @ X29 @ X30)))))), file('/export/starexec/sandbox2/tmp/tmp.9Jj7wa8Uul/E---3.1_2192.p', ec)). 596.04/75.66 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:(((p @ X31 @ X32)&~((p @ X32 @ X31)))))), file('/export/starexec/sandbox2/tmp/tmp.9Jj7wa8Uul/E---3.1_2192.p', pp)). 596.04/75.66 thf(ntpp, axiom, ((ntpp)=(^[X35:reg, X36:reg]:(((pp @ X35 @ X36)&~(?[X22:reg]:(((ec @ X22 @ X35)&(ec @ X22 @ X36)))))))), file('/export/starexec/sandbox2/tmp/tmp.9Jj7wa8Uul/E---3.1_2192.p', ntpp)). 596.04/75.66 thf(eq, axiom, ((eq)=(^[X23:reg, X24:reg]:(((p @ X23 @ X24)&(p @ X24 @ X23))))), file('/export/starexec/sandbox2/tmp/tmp.9Jj7wa8Uul/E---3.1_2192.p', eq)). 596.04/75.66 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox2/tmp/tmp.9Jj7wa8Uul/E---3.1_2192.p', mbox)). 596.04/75.66 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.9Jj7wa8Uul/E---3.1_2192.p', mvalid)). 596.04/75.66 thf(ax3, axiom, (mvalid @ (mbox @ a @ (^[X44:$i]:((ntpp @ paris @ france))))), file('/export/starexec/sandbox2/tmp/tmp.9Jj7wa8Uul/E---3.1_2192.p', ax3)). 596.04/75.66 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X41:$i]:(?[X22:reg, X42:reg]:((((o @ X22 @ france)&(o @ X22 @ france))&~((eq @ X22 @ X42)))))))), file('/export/starexec/sandbox2/tmp/tmp.9Jj7wa8Uul/E---3.1_2192.p', con)). 596.04/75.66 thf(c_symmetric, axiom, ![X38:reg, X39:reg]:(((c @ X39 @ X38)<=(c @ X38 @ X39))), file('/export/starexec/sandbox2/tmp/tmp.9Jj7wa8Uul/E---3.1_2192.p', c_symmetric)). 596.04/75.66 thf(c_0_11, plain, ((o)=(^[Z0/* 19 */:reg, Z1:reg]:(?[X22:reg]:(((![X54:reg]:(((c @ X54 @ X22)=>(c @ X54 @ Z0))))&(![X55:reg]:(((c @ X55 @ X22)=>(c @ X55 @ Z1))))))))), inference(fof_simplification,[status(thm)],[o])). 596.04/75.66 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])). 596.04/75.66 thf(c_0_13, plain, ((ec)=(^[Z0/* 19 */:reg, Z1:reg]:(((c @ Z0 @ Z1)&~((?[X61:reg]:(((![X62:reg]:(((c @ X62 @ X61)=>(c @ X62 @ Z0))))&(![X63:reg]:(((c @ X63 @ X61)=>(c @ X63 @ Z1)))))))))))), inference(fof_simplification,[status(thm)],[ec])). 596.04/75.66 thf(c_0_14, plain, ((o)=(^[Z0/* 19 */:reg, Z1:reg]:(?[X22:reg]:(((![X54:reg]:(((c @ X54 @ X22)=>(c @ X54 @ Z0))))&(![X55:reg]:(((c @ X55 @ X22)=>(c @ X55 @ Z1))))))))), inference(apply_def,[status(thm)],[c_0_11, c_0_12])). 596.04/75.66 thf(c_0_15, plain, ((pp)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X64:reg]:(((c @ X64 @ Z0)=>(c @ X64 @ Z1))))&~((![X65:reg]:(((c @ X65 @ Z1)=>(c @ X65 @ Z0))))))))), inference(fof_simplification,[status(thm)],[pp])). 596.04/75.66 thf(c_0_16, plain, ((ntpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X74:reg]:(((c @ X74 @ Z0)=>(c @ X74 @ Z1))))&~((![X75:reg]:(((c @ X75 @ Z1)=>(c @ X75 @ Z0)))))))&~(?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X76:reg]:(((![X77:reg]:(((c @ X77 @ X76)=>(c @ X77 @ X22))))&(![X78:reg]:(((c @ X78 @ X76)=>(c @ X78 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X79:reg]:(((![X80:reg]:(((c @ X80 @ X79)=>(c @ X80 @ X22))))&(![X81:reg]:(((c @ X81 @ X79)=>(c @ X81 @ Z1))))))))))))))))), inference(fof_simplification,[status(thm)],[ntpp])). 596.04/75.66 thf(c_0_17, plain, ((ec)=(^[Z0/* 19 */:reg, Z1:reg]:(((c @ Z0 @ Z1)&~((?[X61:reg]:(((![X62:reg]:(((c @ X62 @ X61)=>(c @ X62 @ Z0))))&(![X63:reg]:(((c @ X63 @ X61)=>(c @ X63 @ Z1)))))))))))), inference(apply_def,[status(thm)],[c_0_13, c_0_14])). 596.04/75.66 thf(c_0_18, plain, ((pp)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X64:reg]:(((c @ X64 @ Z0)=>(c @ X64 @ Z1))))&~((![X65:reg]:(((c @ X65 @ Z1)=>(c @ X65 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_15, c_0_12])). 596.04/75.66 thf(c_0_19, plain, ((eq)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X52:reg]:(((c @ X52 @ Z0)=>(c @ X52 @ Z1))))&(![X53:reg]:(((c @ X53 @ Z1)=>(c @ X53 @ Z0)))))))), inference(fof_simplification,[status(thm)],[eq])). 596.04/75.66 thf(c_0_20, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 596.04/75.66 thf(c_0_21, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 596.04/75.66 thf(c_0_22, plain, ((ntpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X74:reg]:(((c @ X74 @ Z0)=>(c @ X74 @ Z1))))&~((![X75:reg]:(((c @ X75 @ Z1)=>(c @ X75 @ Z0)))))))&~(?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X76:reg]:(((![X77:reg]:(((c @ X77 @ X76)=>(c @ X77 @ X22))))&(![X78:reg]:(((c @ X78 @ X76)=>(c @ X78 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X79:reg]:(((![X80:reg]:(((c @ X80 @ X79)=>(c @ X80 @ X22))))&(![X81:reg]:(((c @ X81 @ X79)=>(c @ X81 @ Z1))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_16, c_0_17]), c_0_18])). 596.04/75.66 thf(c_0_23, plain, ((eq)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X52:reg]:(((c @ X52 @ Z0)=>(c @ X52 @ Z1))))&(![X53:reg]:(((c @ X53 @ Z1)=>(c @ X53 @ Z0)))))))), inference(apply_def,[status(thm)],[c_0_19, c_0_12])). 596.04/75.66 thf(c_0_24, plain, ![X114:$i, X113:$i]:((~(a @ X114 @ X113)|((![X104:reg]:(((c @ X104 @ paris)=>(c @ X104 @ france)))&~(![X105:reg]:(((c @ X105 @ france)=>(c @ X105 @ paris)))))&~(?[X106:reg]:((((c @ X106 @ paris)&~(?[X107:reg]:((![X108:reg]:(((c @ X108 @ X107)=>(c @ X108 @ X106)))&![X109:reg]:(((c @ X109 @ X107)=>(c @ X109 @ paris)))))))&((c @ X106 @ france)&~(?[X110:reg]:((![X111:reg]:(((c @ X111 @ X110)=>(c @ X111 @ X106)))&![X112:reg]:(((c @ X112 @ X110)=>(c @ X112 @ 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])])). 596.04/75.66 thf(c_0_25, negated_conjecture, ~(![X96:$i, X95:$i]:((~(a @ X96 @ X95)|?[X22:reg, X42:reg]:(((?[X87:reg]:((![X88:reg]:(((c @ X88 @ X87)=>(c @ X88 @ X22)))&![X89:reg]:(((c @ X89 @ X87)=>(c @ X89 @ france)))))&?[X90:reg]:((![X91:reg]:(((c @ X91 @ X90)=>(c @ X91 @ X22)))&![X92:reg]:(((c @ X92 @ X90)=>(c @ X92 @ france))))))&~((![X93:reg]:(((c @ X93 @ X22)=>(c @ X93 @ X42)))&![X94:reg]:(((c @ X94 @ X42)=>(c @ X94 @ X22)))))))))), 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_23]), c_0_14])])). 596.04/75.66 thf(c_0_26, plain, ![X158:$i, X159:$i, X160:reg, X162:reg, X164:reg, X165:reg, X167:reg, X168:reg]:((((~(c @ X160 @ paris)|(c @ X160 @ france)|~(a @ X158 @ X159))&(((c @ esk11_0 @ france)|~(a @ X158 @ X159))&(~(c @ esk11_0 @ paris)|~(a @ X158 @ X159))))&(((~(c @ X167 @ (esk13_1 @ X162))|(c @ X167 @ X162)|~(c @ X162 @ france)|(~(c @ X164 @ (esk12_1 @ X162))|(c @ X164 @ X162)|~(c @ X162 @ paris))|~(a @ X158 @ X159))&(~(c @ X168 @ (esk13_1 @ X162))|(c @ X168 @ france)|~(c @ X162 @ france)|(~(c @ X164 @ (esk12_1 @ X162))|(c @ X164 @ X162)|~(c @ X162 @ paris))|~(a @ X158 @ X159)))&((~(c @ X167 @ (esk13_1 @ X162))|(c @ X167 @ X162)|~(c @ X162 @ france)|(~(c @ X165 @ (esk12_1 @ X162))|(c @ X165 @ paris)|~(c @ X162 @ paris))|~(a @ X158 @ X159))&(~(c @ X168 @ (esk13_1 @ X162))|(c @ X168 @ france)|~(c @ X162 @ france)|(~(c @ X165 @ (esk12_1 @ X162))|(c @ X165 @ paris)|~(c @ X162 @ paris))|~(a @ X158 @ X159)))))), 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])])])])])])])). 596.04/75.66 thf(c_0_27, negated_conjecture, ![X141:reg, X142:reg, X143:reg, X146:reg, X149:reg, X150:reg]:(((a @ esk3_0 @ esk4_0)&((((((~(c @ X149 @ X141)|(c @ X149 @ X142)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143)))))&((~(c @ X149 @ X141)|(c @ X149 @ X142)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143))))))&(((~(c @ X149 @ X141)|(c @ X149 @ X142)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143)))))&((~(c @ X149 @ X141)|(c @ X149 @ X142)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143)))))))&((((~(c @ X149 @ X141)|(c @ X149 @ X142)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143)))))&((~(c @ X149 @ X141)|(c @ X149 @ X142)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143))))))&(((~(c @ X149 @ X141)|(c @ X149 @ X142)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143)))))&((~(c @ X149 @ X141)|(c @ X149 @ X142)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|(c @ (esk5_3 @ X141 @ X142 @ X143) @ X143))))))))&(((((~(c @ X149 @ X141)|(c @ X149 @ X142)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141)))))&((~(c @ X149 @ X141)|(c @ X149 @ X142)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141))))))&(((~(c @ X149 @ X141)|(c @ X149 @ X142)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141)))))&((~(c @ X149 @ X141)|(c @ X149 @ X142)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|((c @ (esk6_3 @ X141 @ X142 @ X143) @ X143)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141)))))))&((((~(c @ X149 @ X141)|(c @ X149 @ X142)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141)))))&((~(c @ X149 @ X141)|(c @ X149 @ X142)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|(c @ (esk7_3 @ X141 @ X142 @ X146) @ X146)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141))))))&(((~(c @ X149 @ X141)|(c @ X149 @ X142)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|((c @ (esk8_3 @ X141 @ X142 @ X146) @ X146)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141)))))&((~(c @ X149 @ X141)|(c @ X149 @ X142)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141))))&(~(c @ X150 @ X142)|(c @ X150 @ X141)|(~(c @ (esk8_3 @ X141 @ X142 @ X146) @ france)|~(c @ (esk7_3 @ X141 @ X142 @ X146) @ X141)|(~(c @ (esk6_3 @ X141 @ X142 @ X143) @ france)|~(c @ (esk5_3 @ X141 @ X142 @ X143) @ X141))))))))))), 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])])])])])])). 596.04/75.66 thf(c_0_28, plain, ![X3:$i, X14:$i]:(((c @ esk11_0 @ france)|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_26])). 596.04/75.66 thf(c_0_29, negated_conjecture, (a @ esk3_0 @ esk4_0), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_30, plain, ![X38:reg, X39:reg]:(((c @ X38 @ X39)=>(c @ X39 @ X38))), inference(fof_simplification,[status(thm)],[c_symmetric])). 596.04/75.66 thf(c_0_31, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_26])). 596.04/75.66 thf(c_0_32, negated_conjecture, ![X18:reg, X21:reg, X22:reg, X20:reg, X19:reg]:(((c @ X18 @ X20)|(c @ (esk8_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk7_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk6_3 @ X20 @ X19 @ X22) @ X22)|(c @ (esk5_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_33, negated_conjecture, (c @ esk11_0 @ france), inference(spm,[status(thm)],[c_0_28, c_0_29])). 596.04/75.66 thf(c_0_34, negated_conjecture, ![X18:reg, X19:reg, X20:reg, X22:reg, X21:reg]:(((c @ X18 @ X20)|(c @ (esk7_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk6_3 @ X20 @ X19 @ X22) @ X22)|(c @ (esk5_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk8_3 @ X20 @ X19 @ X21) @ france)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_35, plain, ![X132:reg, X133:reg]:((~(c @ X132 @ X133)|(c @ X133 @ X132))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])). 596.04/75.66 thf(c_0_36, negated_conjecture, ![X18:reg]:(((c @ X18 @ france)|~((c @ X18 @ paris)))), inference(spm,[status(thm)],[c_0_31, c_0_29])). 596.04/75.66 thf(c_0_37, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk8_3 @ X18 @ france @ X19) @ X19)|(c @ (esk7_3 @ X18 @ france @ X19) @ X19)|(c @ (esk6_3 @ X18 @ france @ X20) @ X20)|(c @ (esk5_3 @ X18 @ france @ X20) @ X20)|(c @ esk11_0 @ X18))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 596.04/75.66 thf(c_0_38, negated_conjecture, ![X18:reg, X20:reg, X19:reg]:(((c @ (esk7_3 @ X18 @ france @ X19) @ X19)|(c @ (esk6_3 @ X18 @ france @ X20) @ X20)|(c @ (esk5_3 @ X18 @ france @ X20) @ X20)|(c @ esk11_0 @ X18)|~((c @ (esk8_3 @ X18 @ france @ X19) @ france)))), inference(spm,[status(thm)],[c_0_34, c_0_33])). 596.04/75.66 thf(c_0_39, plain, ![X18:reg, X19:reg]:(((c @ X19 @ X18)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_35])). 596.04/75.66 thf(c_0_40, negated_conjecture, ![X19:reg, X18:reg]:(((c @ (esk7_3 @ X18 @ france @ paris) @ paris)|(c @ (esk5_3 @ X18 @ france @ X19) @ X19)|(c @ (esk6_3 @ X18 @ france @ X19) @ X19)|(c @ esk11_0 @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])). 596.04/75.66 thf(c_0_41, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X20:reg, X22:reg]:(((c @ X18 @ X20)|(c @ (esk8_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk7_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk5_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk6_3 @ X20 @ X19 @ X22) @ france)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_42, negated_conjecture, ![X19:reg, X18:reg]:(((c @ paris @ (esk7_3 @ X18 @ france @ paris))|(c @ (esk6_3 @ X18 @ france @ X19) @ X19)|(c @ (esk5_3 @ X18 @ france @ X19) @ X19)|(c @ esk11_0 @ X18))), inference(spm,[status(thm)],[c_0_39, c_0_40])). 596.04/75.66 thf(c_0_43, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X20:reg, X22:reg]:(((c @ X18 @ X20)|(c @ (esk7_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk5_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk8_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk6_3 @ X20 @ X19 @ X22) @ france)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_44, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ (esk8_3 @ X18 @ france @ X19) @ X19)|(c @ (esk7_3 @ X18 @ france @ X19) @ X19)|(c @ (esk5_3 @ X18 @ france @ X20) @ X20)|(c @ esk11_0 @ X18)|~((c @ (esk6_3 @ X18 @ france @ X20) @ france)))), inference(spm,[status(thm)],[c_0_41, c_0_33])). 596.04/75.66 thf(c_0_45, negated_conjecture, ![X18:reg]:(((c @ (esk5_3 @ X18 @ france @ paris) @ paris)|(c @ paris @ (esk7_3 @ X18 @ france @ paris))|(c @ (esk6_3 @ X18 @ france @ paris) @ france)|(c @ esk11_0 @ X18))), inference(spm,[status(thm)],[c_0_36, c_0_42])). 596.04/75.66 thf(c_0_46, negated_conjecture, ![X18:reg, X20:reg, X19:reg]:(((c @ (esk7_3 @ X18 @ france @ X19) @ X19)|(c @ (esk5_3 @ X18 @ france @ X20) @ X20)|(c @ esk11_0 @ X18)|~((c @ (esk6_3 @ X18 @ france @ X20) @ france))|~((c @ (esk8_3 @ X18 @ france @ X19) @ france)))), inference(spm,[status(thm)],[c_0_43, c_0_33])). 596.04/75.66 thf(c_0_47, negated_conjecture, ![X19:reg, X18:reg]:(((c @ paris @ (esk7_3 @ X18 @ france @ paris))|(c @ (esk5_3 @ X18 @ france @ paris) @ paris)|(c @ (esk7_3 @ X18 @ france @ X19) @ X19)|(c @ (esk8_3 @ X18 @ france @ X19) @ X19)|(c @ esk11_0 @ X18))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 596.04/75.66 thf(c_0_48, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk8_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk7_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk6_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk5_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_49, negated_conjecture, ![X18:reg, X19:reg]:(((c @ paris @ (esk7_3 @ X18 @ france @ paris))|(c @ (esk5_3 @ X18 @ france @ paris) @ paris)|(c @ (esk7_3 @ X18 @ france @ X19) @ X19)|(c @ esk11_0 @ X18)|~((c @ (esk8_3 @ X18 @ france @ X19) @ france)))), inference(spm,[status(thm)],[c_0_46, c_0_45])). 596.04/75.66 thf(c_0_50, negated_conjecture, ![X18:reg]:(((c @ (esk5_3 @ X18 @ france @ paris) @ paris)|(c @ paris @ (esk7_3 @ X18 @ france @ paris))|(c @ (esk8_3 @ X18 @ france @ paris) @ france)|(c @ esk11_0 @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_47]), c_0_39])). 596.04/75.66 thf(c_0_51, plain, ![X3:$i, X14:$i]:((~((c @ esk11_0 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_26])). 596.04/75.66 thf(c_0_52, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk7_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk6_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk8_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk5_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_53, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk8_3 @ X18 @ france @ X19) @ X19)|(c @ (esk7_3 @ X18 @ france @ X19) @ X19)|(c @ (esk6_3 @ X18 @ france @ X20) @ X20)|(c @ esk11_0 @ X18)|~((c @ (esk5_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_48, c_0_33])). 596.04/75.66 thf(c_0_54, negated_conjecture, ![X18:reg]:(((c @ (esk5_3 @ X18 @ france @ paris) @ paris)|(c @ paris @ (esk7_3 @ X18 @ france @ paris))|(c @ esk11_0 @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_39])). 596.04/75.66 thf(c_0_55, negated_conjecture, ~((c @ esk11_0 @ paris)), inference(spm,[status(thm)],[c_0_51, c_0_29])). 596.04/75.66 thf(c_0_56, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk7_3 @ X18 @ france @ X19) @ X19)|(c @ (esk6_3 @ X18 @ france @ X20) @ X20)|(c @ esk11_0 @ X18)|~((c @ (esk8_3 @ X18 @ france @ X19) @ france))|~((c @ (esk5_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_52, c_0_33])). 596.04/75.66 thf(c_0_57, negated_conjecture, ![X18:reg]:(((c @ paris @ (esk7_3 @ paris @ france @ paris))|(c @ (esk6_3 @ paris @ france @ paris) @ paris)|(c @ (esk7_3 @ paris @ france @ X18) @ X18)|(c @ (esk8_3 @ paris @ france @ X18) @ X18))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55])). 596.04/75.66 thf(c_0_58, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk8_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk7_3 @ X20 @ X19 @ X21) @ X21)|~((c @ X18 @ X19))|~((c @ (esk6_3 @ X20 @ X19 @ X22) @ france))|~((c @ (esk5_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_59, negated_conjecture, ![X18:reg]:(((c @ paris @ (esk7_3 @ paris @ france @ paris))|(c @ (esk6_3 @ paris @ france @ paris) @ paris)|(c @ (esk7_3 @ paris @ france @ X18) @ X18)|~((c @ (esk8_3 @ paris @ france @ X18) @ france)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_54]), c_0_55])). 596.04/75.66 thf(c_0_60, negated_conjecture, ((c @ (esk6_3 @ paris @ france @ paris) @ paris)|(c @ paris @ (esk7_3 @ paris @ france @ paris))|(c @ (esk8_3 @ paris @ france @ paris) @ france)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_57]), c_0_39])). 596.04/75.66 thf(c_0_61, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk8_3 @ X18 @ france @ X19) @ X19)|(c @ (esk7_3 @ X18 @ france @ X19) @ X19)|(c @ esk11_0 @ X18)|~((c @ (esk6_3 @ X18 @ france @ X20) @ france))|~((c @ (esk5_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_58, c_0_33])). 596.04/75.66 thf(c_0_62, negated_conjecture, ((c @ (esk6_3 @ paris @ france @ paris) @ paris)|(c @ paris @ (esk7_3 @ paris @ france @ paris))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_39])). 596.04/75.66 thf(c_0_63, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk7_3 @ X20 @ X19 @ X21) @ X21)|~((c @ X18 @ X19))|~((c @ (esk8_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk6_3 @ X20 @ X19 @ X22) @ france))|~((c @ (esk5_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_64, negated_conjecture, ![X18:reg]:(((c @ paris @ (esk7_3 @ paris @ france @ paris))|(c @ (esk7_3 @ paris @ france @ X18) @ X18)|(c @ (esk8_3 @ paris @ france @ X18) @ X18)|~((c @ (esk6_3 @ paris @ france @ paris) @ france)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_54]), c_0_55])). 596.04/75.66 thf(c_0_65, negated_conjecture, ((c @ paris @ (esk7_3 @ paris @ france @ paris))|(c @ (esk6_3 @ paris @ france @ paris) @ france)), inference(spm,[status(thm)],[c_0_36, c_0_62])). 596.04/75.66 thf(c_0_66, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk7_3 @ X18 @ france @ X19) @ X19)|(c @ esk11_0 @ X18)|~((c @ (esk6_3 @ X18 @ france @ X20) @ france))|~((c @ (esk8_3 @ X18 @ france @ X19) @ france))|~((c @ (esk5_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_63, c_0_33])). 596.04/75.66 thf(c_0_67, negated_conjecture, ![X18:reg]:(((c @ paris @ (esk7_3 @ paris @ france @ paris))|(c @ (esk8_3 @ paris @ france @ X18) @ X18)|(c @ (esk7_3 @ paris @ france @ X18) @ X18))), inference(spm,[status(thm)],[c_0_64, c_0_65])). 596.04/75.66 thf(c_0_68, negated_conjecture, ![X18:reg]:(((c @ paris @ (esk7_3 @ paris @ france @ paris))|(c @ (esk7_3 @ paris @ france @ X18) @ X18)|~((c @ (esk6_3 @ paris @ france @ paris) @ france))|~((c @ (esk8_3 @ paris @ france @ X18) @ france)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_54]), c_0_55])). 596.04/75.66 thf(c_0_69, negated_conjecture, ((c @ paris @ (esk7_3 @ paris @ france @ paris))|(c @ (esk8_3 @ paris @ france @ paris) @ france)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_67]), c_0_39])). 596.04/75.66 thf(c_0_70, negated_conjecture, ![X18:reg, X19:reg, X22:reg, X21:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk8_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk6_3 @ X20 @ X19 @ X22) @ X22)|(c @ (esk5_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk7_3 @ X20 @ X19 @ X21) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_71, negated_conjecture, (c @ paris @ (esk7_3 @ paris @ france @ paris)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_65]), c_0_39])). 596.04/75.66 thf(c_0_72, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk8_3 @ X18 @ france @ X19) @ X19)|(c @ (esk6_3 @ X18 @ france @ X20) @ X20)|(c @ (esk5_3 @ X18 @ france @ X20) @ X20)|(c @ esk11_0 @ X18)|~((c @ (esk7_3 @ X18 @ france @ X19) @ X18)))), inference(spm,[status(thm)],[c_0_70, c_0_33])). 596.04/75.66 thf(c_0_73, negated_conjecture, (c @ (esk7_3 @ paris @ france @ paris) @ paris), inference(spm,[status(thm)],[c_0_39, c_0_71])). 596.04/75.66 thf(c_0_74, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X20:reg, X22:reg]:(((c @ X18 @ X20)|(c @ (esk8_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk5_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk7_3 @ X20 @ X19 @ X21) @ X20))|~((c @ (esk6_3 @ X20 @ X19 @ X22) @ france)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_75, negated_conjecture, ![X18:reg]:(((c @ (esk8_3 @ paris @ france @ paris) @ paris)|(c @ (esk5_3 @ paris @ france @ X18) @ X18)|(c @ (esk6_3 @ paris @ france @ X18) @ X18))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_55])). 596.04/75.66 thf(c_0_76, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk8_3 @ X18 @ france @ X19) @ X19)|(c @ (esk5_3 @ X18 @ france @ X20) @ X20)|(c @ esk11_0 @ X18)|~((c @ (esk6_3 @ X18 @ france @ X20) @ france))|~((c @ (esk7_3 @ X18 @ france @ X19) @ X18)))), inference(spm,[status(thm)],[c_0_74, c_0_33])). 596.04/75.66 thf(c_0_77, negated_conjecture, ![X18:reg]:(((c @ paris @ (esk8_3 @ paris @ france @ paris))|(c @ (esk6_3 @ paris @ france @ X18) @ X18)|(c @ (esk5_3 @ paris @ france @ X18) @ X18))), inference(spm,[status(thm)],[c_0_39, c_0_75])). 596.04/75.66 thf(c_0_78, negated_conjecture, ![X18:reg, X19:reg, X22:reg, X21:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk6_3 @ X20 @ X19 @ X22) @ X22)|(c @ (esk5_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk8_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk7_3 @ X20 @ X19 @ X21) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_79, negated_conjecture, ![X18:reg]:(((c @ (esk8_3 @ paris @ france @ paris) @ paris)|(c @ (esk5_3 @ paris @ france @ X18) @ X18)|~((c @ (esk6_3 @ paris @ france @ X18) @ france)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_73]), c_0_55])). 596.04/75.66 thf(c_0_80, negated_conjecture, ((c @ (esk5_3 @ paris @ france @ paris) @ paris)|(c @ paris @ (esk8_3 @ paris @ france @ paris))|(c @ (esk6_3 @ paris @ france @ paris) @ france)), inference(spm,[status(thm)],[c_0_36, c_0_77])). 596.04/75.66 thf(c_0_81, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk6_3 @ X18 @ france @ X19) @ X19)|(c @ (esk5_3 @ X18 @ france @ X19) @ X19)|(c @ esk11_0 @ X18)|~((c @ (esk8_3 @ X18 @ france @ X20) @ france))|~((c @ (esk7_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_78, c_0_33])). 596.04/75.66 thf(c_0_82, negated_conjecture, ((c @ (esk5_3 @ paris @ france @ paris) @ paris)|(c @ (esk8_3 @ paris @ france @ paris) @ paris)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_39])). 596.04/75.66 thf(c_0_83, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X20:reg, X22:reg]:(((c @ X18 @ X20)|(c @ (esk5_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk8_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk7_3 @ X20 @ X19 @ X21) @ X20))|~((c @ (esk6_3 @ X20 @ X19 @ X22) @ france)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_84, negated_conjecture, ![X18:reg]:(((c @ (esk5_3 @ paris @ france @ X18) @ X18)|(c @ (esk6_3 @ paris @ france @ X18) @ X18)|~((c @ (esk8_3 @ paris @ france @ paris) @ france)))), inference(condense,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_40]), c_0_55])])). 596.04/75.66 thf(c_0_85, negated_conjecture, ((c @ (esk5_3 @ paris @ france @ paris) @ paris)|(c @ (esk8_3 @ paris @ france @ paris) @ france)), inference(spm,[status(thm)],[c_0_36, c_0_82])). 596.04/75.66 thf(c_0_86, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk5_3 @ X18 @ france @ X19) @ X19)|(c @ esk11_0 @ X18)|~((c @ (esk6_3 @ X18 @ france @ X19) @ france))|~((c @ (esk8_3 @ X18 @ france @ X20) @ france))|~((c @ (esk7_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_83, c_0_33])). 596.04/75.66 thf(c_0_87, negated_conjecture, ![X18:reg]:(((c @ (esk5_3 @ paris @ france @ paris) @ paris)|(c @ (esk6_3 @ paris @ france @ X18) @ X18)|(c @ (esk5_3 @ paris @ france @ X18) @ X18))), inference(spm,[status(thm)],[c_0_84, c_0_85])). 596.04/75.66 thf(c_0_88, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk8_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk6_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk7_3 @ X20 @ X19 @ X21) @ X20))|~((c @ (esk5_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_89, negated_conjecture, ![X18:reg]:(((c @ (esk5_3 @ paris @ france @ X18) @ X18)|~((c @ (esk8_3 @ paris @ france @ paris) @ france))|~((c @ (esk6_3 @ paris @ france @ X18) @ france)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_73]), c_0_55])). 596.04/75.66 thf(c_0_90, negated_conjecture, ((c @ (esk5_3 @ paris @ france @ paris) @ paris)|(c @ (esk6_3 @ paris @ france @ paris) @ france)), inference(spm,[status(thm)],[c_0_36, c_0_87])). 596.04/75.66 thf(c_0_91, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk8_3 @ X18 @ france @ X19) @ X19)|(c @ (esk6_3 @ X18 @ france @ X20) @ X20)|(c @ esk11_0 @ X18)|~((c @ (esk5_3 @ X18 @ france @ X20) @ X18))|~((c @ (esk7_3 @ X18 @ france @ X19) @ X18)))), inference(spm,[status(thm)],[c_0_88, c_0_33])). 596.04/75.66 thf(c_0_92, negated_conjecture, (c @ (esk5_3 @ paris @ france @ paris) @ paris), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_85])). 596.04/75.66 thf(c_0_93, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk6_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk8_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk7_3 @ X20 @ X19 @ X21) @ X20))|~((c @ (esk5_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_94, negated_conjecture, ![X18:reg]:(((c @ (esk6_3 @ paris @ france @ paris) @ paris)|(c @ (esk8_3 @ paris @ france @ X18) @ X18)|~((c @ (esk7_3 @ paris @ france @ X18) @ paris)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_55])). 596.04/75.66 thf(c_0_95, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk8_3 @ X20 @ X19 @ X21) @ X21)|~((c @ X18 @ X19))|~((c @ (esk7_3 @ X20 @ X19 @ X21) @ X20))|~((c @ (esk6_3 @ X20 @ X19 @ X22) @ france))|~((c @ (esk5_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_96, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk6_3 @ X18 @ france @ X19) @ X19)|(c @ esk11_0 @ X18)|~((c @ (esk8_3 @ X18 @ france @ X20) @ france))|~((c @ (esk5_3 @ X18 @ france @ X19) @ X18))|~((c @ (esk7_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_93, c_0_33])). 596.04/75.66 thf(c_0_97, negated_conjecture, ((c @ (esk8_3 @ paris @ france @ paris) @ paris)|(c @ (esk6_3 @ paris @ france @ paris) @ paris)), inference(spm,[status(thm)],[c_0_94, c_0_73])). 596.04/75.66 thf(c_0_98, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk8_3 @ X18 @ france @ X19) @ X19)|(c @ esk11_0 @ X18)|~((c @ (esk6_3 @ X18 @ france @ X20) @ france))|~((c @ (esk5_3 @ X18 @ france @ X20) @ X18))|~((c @ (esk7_3 @ X18 @ france @ X19) @ X18)))), inference(spm,[status(thm)],[c_0_95, c_0_33])). 596.04/75.66 thf(c_0_99, negated_conjecture, ![X18:reg]:(((c @ (esk6_3 @ paris @ france @ paris) @ paris)|~((c @ (esk8_3 @ paris @ france @ X18) @ france))|~((c @ (esk7_3 @ paris @ france @ X18) @ paris)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_92]), c_0_55])). 596.04/75.66 thf(c_0_100, negated_conjecture, ((c @ (esk6_3 @ paris @ france @ paris) @ paris)|(c @ (esk8_3 @ paris @ france @ paris) @ france)), inference(spm,[status(thm)],[c_0_36, c_0_97])). 596.04/75.66 thf(c_0_101, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|~((c @ X18 @ X19))|~((c @ (esk8_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk7_3 @ X20 @ X19 @ X21) @ X20))|~((c @ (esk6_3 @ X20 @ X19 @ X22) @ france))|~((c @ (esk5_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 596.04/75.66 thf(c_0_102, negated_conjecture, ![X18:reg]:(((c @ (esk8_3 @ paris @ france @ X18) @ X18)|~((c @ (esk6_3 @ paris @ france @ paris) @ france))|~((c @ (esk7_3 @ paris @ france @ X18) @ paris)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_92]), c_0_55])). 596.04/75.66 thf(c_0_103, negated_conjecture, (c @ (esk6_3 @ paris @ france @ paris) @ paris), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99, c_0_100]), c_0_73])])). 596.04/75.66 thf(c_0_104, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ esk11_0 @ X18)|~((c @ (esk6_3 @ X18 @ france @ X19) @ france))|~((c @ (esk8_3 @ X18 @ france @ X20) @ france))|~((c @ (esk5_3 @ X18 @ france @ X19) @ X18))|~((c @ (esk7_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_101, c_0_33])). 596.04/75.66 thf(c_0_105, negated_conjecture, ((c @ (esk8_3 @ paris @ france @ paris) @ paris)|~((c @ (esk6_3 @ paris @ france @ paris) @ france))), inference(spm,[status(thm)],[c_0_102, c_0_73])). 596.04/75.66 thf(c_0_106, negated_conjecture, (c @ (esk6_3 @ paris @ france @ paris) @ france), inference(spm,[status(thm)],[c_0_36, c_0_103])). 596.04/75.66 thf(c_0_107, negated_conjecture, ![X18:reg]:((~((c @ (esk6_3 @ paris @ france @ paris) @ france))|~((c @ (esk8_3 @ paris @ france @ X18) @ france))|~((c @ (esk7_3 @ paris @ france @ X18) @ paris)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_92]), c_0_55])). 596.04/75.66 thf(c_0_108, negated_conjecture, (c @ (esk8_3 @ paris @ france @ paris) @ paris), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105, c_0_106])])). 596.04/75.66 thf(c_0_109, negated_conjecture, ![X18:reg]:((~((c @ (esk8_3 @ paris @ france @ X18) @ france))|~((c @ (esk7_3 @ paris @ france @ X18) @ paris)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107, c_0_106])])). 596.04/75.66 thf(c_0_110, negated_conjecture, (c @ (esk8_3 @ paris @ france @ paris) @ france), inference(spm,[status(thm)],[c_0_36, c_0_108])). 596.04/75.66 thf(c_0_111, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_110]), c_0_73])]), ['proof']). 596.04/75.66 # SZS output end CNFRefutation 596.04/75.66 # Parsed axioms : 98 596.04/75.66 # Removed by relevancy pruning/SinE : 0 596.04/75.66 # Initial clauses : 115 596.04/75.66 # Removed in clause preprocessing : 49 596.04/75.66 # Initial clauses in saturation : 66 596.04/75.66 # Processed clauses : 23276 596.04/75.66 # ...of these trivial : 706 596.04/75.66 # ...subsumed : 8532 596.04/75.66 # ...remaining for further processing : 14038 596.04/75.66 # Other redundant clauses eliminated : 0 596.04/75.66 # Clauses deleted for lack of memory : 0 596.04/75.66 # Backward-subsumed : 1174 596.04/75.66 # Backward-rewritten : 122 596.04/75.66 # Generated clauses : 1854963 596.04/75.66 # ...of the previous two non-redundant : 1743727 596.04/75.66 # ...aggressively subsumed : 0 596.04/75.66 # Contextual simplify-reflections : 196 596.04/75.66 # Paramodulations : 1854645 596.04/75.66 # Factorizations : 318 596.04/75.66 # NegExts : 0 596.04/75.66 # Equation resolutions : 0 596.04/75.66 # Disequality decompositions : 0 596.04/75.66 # Total rewrite steps : 115457 596.04/75.66 # ...of those cached : 115343 596.04/75.66 # Propositional unsat checks : 0 596.04/75.66 # Propositional check models : 0 596.04/75.66 # Propositional check unsatisfiable : 0 596.04/75.66 # Propositional clauses : 0 596.04/75.66 # Propositional clauses after purity: 0 596.04/75.66 # Propositional unsat core size : 0 596.04/75.66 # Propositional preprocessing time : 0.000 596.04/75.66 # Propositional encoding time : 0.000 596.04/75.66 # Propositional solver time : 0.000 596.04/75.66 # Success case prop preproc time : 0.000 596.04/75.66 # Success case prop encoding time : 0.000 596.04/75.66 # Success case prop solver time : 0.000 596.04/75.66 # Current number of processed clauses : 12676 596.04/75.66 # Positive orientable unit clauses : 61 596.04/75.66 # Positive unorientable unit clauses: 0 596.04/75.66 # Negative unit clauses : 2 596.04/75.66 # Non-unit-clauses : 12613 596.04/75.66 # Current number of unprocessed clauses: 1714636 596.04/75.66 # ...number of literals in the above : 14620880 596.04/75.66 # Current number of archived formulas : 0 596.04/75.66 # Current number of archived clauses : 1362 596.04/75.66 # Clause-clause subsumption calls (NU) : 85046610 596.04/75.66 # Rec. Clause-clause subsumption calls : 1453765 596.04/75.66 # Non-unit clause-clause subsumptions : 9918 596.04/75.66 # Unit Clause-clause subsumption calls : 36903 596.04/75.66 # Rewrite failures with RHS unbound : 0 596.04/75.66 # BW rewrite match attempts : 40 596.04/75.66 # BW rewrite match successes : 30 596.04/75.66 # Condensation attempts : 23276 596.04/75.66 # Condensation successes : 49 596.04/75.66 # Termbank termtop insertions : 74851803 596.04/75.66 # Search garbage collected termcells : 2195 596.04/75.66 596.04/75.66 # ------------------------------------------------- 596.04/75.66 # User time : 73.207 s 596.04/75.66 # System time : 0.953 s 596.04/75.66 # Total time : 74.159 s 596.04/75.66 # Maximum resident set size: 2376 pages 596.04/75.66 596.04/75.66 # ------------------------------------------------- 596.04/75.66 # User time : 366.645 s 596.04/75.66 # System time : 4.949 s 596.04/75.66 # Total time : 371.594 s 596.04/75.66 # Maximum resident set size: 1832 pages 596.04/75.66 % E exiting 596.04/75.66 % E exiting 596.04/75.66 EOF