0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % Command : run_E %s %d THM 0.12/0.33 % Computer : n025.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 08:28:54 EDT 2024 0.12/0.33 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.rBE1obfPMY/E---3.1_12096.p 604.39/76.76 # Version: 3.2.0-ho 604.39/76.76 # Preprocessing class: HSMSSMSSMLLNHSN. 604.39/76.76 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 604.39/76.76 # Starting new_ho_10_cnf2 with 900s (5) cores 604.39/76.76 # Starting post_as_ho3 with 180s (1) cores 604.39/76.76 # Starting new_ho_12 with 180s (1) cores 604.39/76.76 # Starting new_bool_2 with 180s (1) cores 604.39/76.76 # new_ho_10_cnf2 with pid 12175 completed with status 0 604.39/76.76 # Result found by new_ho_10_cnf2 604.39/76.76 # Preprocessing class: HSMSSMSSMLLNHSN. 604.39/76.76 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 604.39/76.76 # Starting new_ho_10_cnf2 with 900s (5) cores 604.39/76.76 # No SInE strategy applied 604.39/76.76 # Search class: HGHNF-FFMF31-SHSSMFBN 604.39/76.76 # partial match(2): HGHNF-FFMF21-SHSSMSBN 604.39/76.76 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 604.39/76.76 # Starting new_ho_9 with 487s (1) cores 604.39/76.76 # Starting new_ho_10_cnf2 with 91s (1) cores 604.39/76.76 # Starting pre_casc_8 with 82s (1) cores 604.39/76.76 # Starting post_as_ho2 with 82s (1) cores 604.39/76.76 # Starting post_as_ho1 with 82s (1) cores 604.39/76.76 # pre_casc_8 with pid 12184 completed with status 0 604.39/76.76 # Result found by pre_casc_8 604.39/76.76 # Preprocessing class: HSMSSMSSMLLNHSN. 604.39/76.76 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 604.39/76.76 # Starting new_ho_10_cnf2 with 900s (5) cores 604.39/76.76 # No SInE strategy applied 604.39/76.76 # Search class: HGHNF-FFMF31-SHSSMFBN 604.39/76.76 # partial match(2): HGHNF-FFMF21-SHSSMSBN 604.39/76.76 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 604.39/76.76 # Starting new_ho_9 with 487s (1) cores 604.39/76.76 # Starting new_ho_10_cnf2 with 91s (1) cores 604.39/76.76 # Starting pre_casc_8 with 82s (1) cores 604.39/76.76 # Preprocessing time : 0.005 s 604.39/76.76 # Presaturation interreduction done 604.39/76.76 604.39/76.76 # Proof found! 604.39/76.76 # SZS status Theorem 604.39/76.76 # SZS output start CNFRefutation 604.39/76.76 thf(decl_sort1, type, reg: $tType). 604.39/76.76 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 604.39/76.76 thf(decl_49, type, mvalid: ($i > $o) > $o). 604.39/76.76 thf(decl_53, type, c: reg > reg > $o). 604.39/76.76 thf(decl_55, type, p: reg > reg > $o). 604.39/76.76 thf(decl_56, type, eq: reg > reg > $o). 604.39/76.76 thf(decl_57, type, o: reg > reg > $o). 604.39/76.76 thf(decl_59, type, ec: reg > reg > $o). 604.39/76.76 thf(decl_60, type, pp: reg > reg > $o). 604.39/76.76 thf(decl_62, type, ntpp: reg > reg > $o). 604.39/76.76 thf(decl_64, type, france: reg). 604.39/76.76 thf(decl_66, type, paris: reg). 604.39/76.76 thf(decl_67, type, a: $i > $i > $o). 604.39/76.76 thf(decl_71, type, esk3_0: reg). 604.39/76.76 thf(decl_72, type, esk4_1: reg > reg). 604.39/76.76 thf(decl_73, type, esk5_1: reg > reg). 604.39/76.76 thf(decl_74, type, esk6_0: $i). 604.39/76.76 thf(decl_75, type, esk7_0: $i). 604.39/76.76 thf(decl_76, type, esk8_3: reg > reg > reg > reg). 604.39/76.76 thf(decl_77, type, esk9_3: reg > reg > reg > reg). 604.39/76.76 thf(decl_78, type, esk10_3: reg > reg > reg > reg). 604.39/76.76 thf(decl_79, type, esk11_3: reg > reg > reg > reg). 604.39/76.76 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:(((p @ X22 @ X25)&(p @ X22 @ X26)))))), file('/export/starexec/sandbox/tmp/tmp.rBE1obfPMY/E---3.1_12096.p', o)). 604.39/76.76 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:(((c @ X22 @ X20)=>(c @ X22 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.rBE1obfPMY/E---3.1_12096.p', p)). 604.39/76.76 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:(((c @ X29 @ X30)&~((o @ X29 @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.rBE1obfPMY/E---3.1_12096.p', ec)). 604.39/76.76 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:(((p @ X31 @ X32)&~((p @ X32 @ X31)))))), file('/export/starexec/sandbox/tmp/tmp.rBE1obfPMY/E---3.1_12096.p', pp)). 604.39/76.76 thf(ntpp, axiom, ((ntpp)=(^[X35:reg, X36:reg]:(((pp @ X35 @ X36)&~(?[X22:reg]:(((ec @ X22 @ X35)&(ec @ X22 @ X36)))))))), file('/export/starexec/sandbox/tmp/tmp.rBE1obfPMY/E---3.1_12096.p', ntpp)). 604.39/76.76 thf(eq, axiom, ((eq)=(^[X23:reg, X24:reg]:(((p @ X23 @ X24)&(p @ X24 @ X23))))), file('/export/starexec/sandbox/tmp/tmp.rBE1obfPMY/E---3.1_12096.p', eq)). 604.39/76.76 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/tmp/tmp.rBE1obfPMY/E---3.1_12096.p', mbox)). 604.39/76.76 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.rBE1obfPMY/E---3.1_12096.p', mvalid)). 604.39/76.76 thf(ax3, axiom, (mvalid @ (mbox @ a @ (^[X41:$i]:((ntpp @ paris @ france))))), file('/export/starexec/sandbox/tmp/tmp.rBE1obfPMY/E---3.1_12096.p', ax3)). 604.39/76.76 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X42:$i]:(?[X22:reg, X43:reg]:((((o @ X22 @ france)&(o @ X22 @ france))&~((eq @ X22 @ X43)))))))), file('/export/starexec/sandbox/tmp/tmp.rBE1obfPMY/E---3.1_12096.p', con)). 604.39/76.76 thf(c_symmetric, axiom, ![X37:reg, X38:reg]:(((c @ X38 @ X37)<=(c @ X37 @ X38))), file('/export/starexec/sandbox/tmp/tmp.rBE1obfPMY/E---3.1_12096.p', c_symmetric)). 604.39/76.76 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])). 604.39/76.76 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])). 604.39/76.76 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])). 604.39/76.76 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])). 604.39/76.76 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])). 604.39/76.76 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])). 604.39/76.76 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])). 604.39/76.76 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])). 604.39/76.76 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])). 604.39/76.76 thf(c_0_20, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 604.39/76.76 thf(c_0_21, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 604.39/76.76 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])). 604.39/76.76 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])). 604.39/76.76 thf(c_0_24, plain, ![X97:$i, X96:$i]:((~(a @ X97 @ X96)|((![X87:reg]:(((c @ X87 @ paris)=>(c @ X87 @ france)))&~(![X88:reg]:(((c @ X88 @ france)=>(c @ X88 @ paris)))))&~(?[X89:reg]:((((c @ X89 @ paris)&~(?[X90:reg]:((![X91:reg]:(((c @ X91 @ X90)=>(c @ X91 @ X89)))&![X92:reg]:(((c @ X92 @ X90)=>(c @ X92 @ paris)))))))&((c @ X89 @ france)&~(?[X93:reg]:((![X94:reg]:(((c @ X94 @ X93)=>(c @ X94 @ X89)))&![X95:reg]:(((c @ X95 @ X93)=>(c @ X95 @ 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])])). 604.39/76.76 thf(c_0_25, negated_conjecture, ~(![X107:$i, X106:$i]:((~(a @ X107 @ X106)|?[X22:reg, X43:reg]:(((?[X98:reg]:((![X99:reg]:(((c @ X99 @ X98)=>(c @ X99 @ X22)))&![X100:reg]:(((c @ X100 @ X98)=>(c @ X100 @ france)))))&?[X101:reg]:((![X102:reg]:(((c @ X102 @ X101)=>(c @ X102 @ X22)))&![X103:reg]:(((c @ X103 @ X101)=>(c @ X103 @ france))))))&~((![X104:reg]:(((c @ X104 @ X22)=>(c @ X104 @ X43)))&![X105:reg]:(((c @ X105 @ X43)=>(c @ X105 @ 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])])). 604.39/76.76 thf(c_0_26, plain, ![X139:$i, X140:$i, X141:reg, X143:reg, X145:reg, X146:reg, X148:reg, X149:reg]:((((~(c @ X141 @ paris)|(c @ X141 @ france)|~(a @ X139 @ X140))&(((c @ esk3_0 @ france)|~(a @ X139 @ X140))&(~(c @ esk3_0 @ paris)|~(a @ X139 @ X140))))&(((~(c @ X148 @ (esk5_1 @ X143))|(c @ X148 @ X143)|~(c @ X143 @ france)|(~(c @ X145 @ (esk4_1 @ X143))|(c @ X145 @ X143)|~(c @ X143 @ paris))|~(a @ X139 @ X140))&(~(c @ X149 @ (esk5_1 @ X143))|(c @ X149 @ france)|~(c @ X143 @ france)|(~(c @ X145 @ (esk4_1 @ X143))|(c @ X145 @ X143)|~(c @ X143 @ paris))|~(a @ X139 @ X140)))&((~(c @ X148 @ (esk5_1 @ X143))|(c @ X148 @ X143)|~(c @ X143 @ france)|(~(c @ X146 @ (esk4_1 @ X143))|(c @ X146 @ paris)|~(c @ X143 @ paris))|~(a @ X139 @ X140))&(~(c @ X149 @ (esk5_1 @ X143))|(c @ X149 @ france)|~(c @ X143 @ france)|(~(c @ X146 @ (esk4_1 @ X143))|(c @ X146 @ paris)|~(c @ X143 @ paris))|~(a @ X139 @ X140)))))), 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])])])])])])])). 604.39/76.76 thf(c_0_27, negated_conjecture, ![X152:reg, X153:reg, X154:reg, X157:reg, X160:reg, X161:reg]:(((a @ esk6_0 @ esk7_0)&((((((~(c @ X160 @ X152)|(c @ X160 @ X153)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154)))))&((~(c @ X160 @ X152)|(c @ X160 @ X153)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154))))))&(((~(c @ X160 @ X152)|(c @ X160 @ X153)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154)))))&((~(c @ X160 @ X152)|(c @ X160 @ X153)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154)))))))&((((~(c @ X160 @ X152)|(c @ X160 @ X153)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154)))))&((~(c @ X160 @ X152)|(c @ X160 @ X153)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154))))))&(((~(c @ X160 @ X152)|(c @ X160 @ X153)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154)))))&((~(c @ X160 @ X152)|(c @ X160 @ X153)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|(c @ (esk8_3 @ X152 @ X153 @ X154) @ X154))))))))&(((((~(c @ X160 @ X152)|(c @ X160 @ X153)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152)))))&((~(c @ X160 @ X152)|(c @ X160 @ X153)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152))))))&(((~(c @ X160 @ X152)|(c @ X160 @ X153)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152)))))&((~(c @ X160 @ X152)|(c @ X160 @ X153)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|((c @ (esk9_3 @ X152 @ X153 @ X154) @ X154)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152)))))))&((((~(c @ X160 @ X152)|(c @ X160 @ X153)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152)))))&((~(c @ X160 @ X152)|(c @ X160 @ X153)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|(c @ (esk10_3 @ X152 @ X153 @ X157) @ X157)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152))))))&(((~(c @ X160 @ X152)|(c @ X160 @ X153)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|((c @ (esk11_3 @ X152 @ X153 @ X157) @ X157)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152)))))&((~(c @ X160 @ X152)|(c @ X160 @ X153)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152))))&(~(c @ X161 @ X153)|(c @ X161 @ X152)|(~(c @ (esk11_3 @ X152 @ X153 @ X157) @ france)|~(c @ (esk10_3 @ X152 @ X153 @ X157) @ X152)|(~(c @ (esk9_3 @ X152 @ X153 @ X154) @ france)|~(c @ (esk8_3 @ X152 @ X153 @ X154) @ X152))))))))))), 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])])])])])])). 604.39/76.76 thf(c_0_28, plain, ![X3:$i, X14:$i]:(((c @ esk3_0 @ france)|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_26])). 604.39/76.76 thf(c_0_29, negated_conjecture, (a @ esk6_0 @ esk7_0), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_30, plain, ![X37:reg, X38:reg]:(((c @ X37 @ X38)=>(c @ X38 @ X37))), inference(fof_simplification,[status(thm)],[c_symmetric])). 604.39/76.76 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])). 604.39/76.76 thf(c_0_32, negated_conjecture, ![X18:reg, X21:reg, X22:reg, X20:reg, X19:reg]:(((c @ X18 @ X20)|(c @ (esk11_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk10_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk9_3 @ X20 @ X19 @ X22) @ X22)|(c @ (esk8_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_33, negated_conjecture, (c @ esk3_0 @ france), inference(spm,[status(thm)],[c_0_28, c_0_29])). 604.39/76.76 thf(c_0_34, negated_conjecture, ![X18:reg, X19:reg, X20:reg, X22:reg, X21:reg]:(((c @ X18 @ X20)|(c @ (esk10_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk9_3 @ X20 @ X19 @ X22) @ X22)|(c @ (esk8_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk11_3 @ X20 @ X19 @ X21) @ france)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_35, plain, ![X131:reg, X132:reg]:((~(c @ X131 @ X132)|(c @ X132 @ X131))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])). 604.39/76.76 thf(c_0_36, negated_conjecture, ![X18:reg]:(((c @ X18 @ france)|~((c @ X18 @ paris)))), inference(spm,[status(thm)],[c_0_31, c_0_29])). 604.39/76.76 thf(c_0_37, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk11_3 @ X18 @ france @ X19) @ X19)|(c @ (esk10_3 @ X18 @ france @ X19) @ X19)|(c @ (esk9_3 @ X18 @ france @ X20) @ X20)|(c @ (esk8_3 @ X18 @ france @ X20) @ X20)|(c @ esk3_0 @ X18))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 604.39/76.76 thf(c_0_38, negated_conjecture, ![X18:reg, X20:reg, X19:reg]:(((c @ (esk10_3 @ X18 @ france @ X19) @ X19)|(c @ (esk9_3 @ X18 @ france @ X20) @ X20)|(c @ (esk8_3 @ X18 @ france @ X20) @ X20)|(c @ esk3_0 @ X18)|~((c @ (esk11_3 @ X18 @ france @ X19) @ france)))), inference(spm,[status(thm)],[c_0_34, c_0_33])). 604.39/76.76 thf(c_0_39, plain, ![X18:reg, X19:reg]:(((c @ X19 @ X18)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_35])). 604.39/76.76 thf(c_0_40, negated_conjecture, ![X19:reg, X18:reg]:(((c @ (esk10_3 @ X18 @ france @ paris) @ paris)|(c @ (esk8_3 @ X18 @ france @ X19) @ X19)|(c @ (esk9_3 @ X18 @ france @ X19) @ X19)|(c @ esk3_0 @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])). 604.39/76.76 thf(c_0_41, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X20:reg, X22:reg]:(((c @ X18 @ X20)|(c @ (esk11_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk10_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk8_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk9_3 @ X20 @ X19 @ X22) @ france)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_42, negated_conjecture, ![X19:reg, X18:reg]:(((c @ paris @ (esk10_3 @ X18 @ france @ paris))|(c @ (esk9_3 @ X18 @ france @ X19) @ X19)|(c @ (esk8_3 @ X18 @ france @ X19) @ X19)|(c @ esk3_0 @ X18))), inference(spm,[status(thm)],[c_0_39, c_0_40])). 604.39/76.76 thf(c_0_43, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X20:reg, X22:reg]:(((c @ X18 @ X20)|(c @ (esk10_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk8_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk11_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk9_3 @ X20 @ X19 @ X22) @ france)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_44, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ (esk11_3 @ X18 @ france @ X19) @ X19)|(c @ (esk10_3 @ X18 @ france @ X19) @ X19)|(c @ (esk8_3 @ X18 @ france @ X20) @ X20)|(c @ esk3_0 @ X18)|~((c @ (esk9_3 @ X18 @ france @ X20) @ france)))), inference(spm,[status(thm)],[c_0_41, c_0_33])). 604.39/76.76 thf(c_0_45, negated_conjecture, ![X18:reg]:(((c @ (esk8_3 @ X18 @ france @ paris) @ paris)|(c @ paris @ (esk10_3 @ X18 @ france @ paris))|(c @ (esk9_3 @ X18 @ france @ paris) @ france)|(c @ esk3_0 @ X18))), inference(spm,[status(thm)],[c_0_36, c_0_42])). 604.39/76.76 thf(c_0_46, negated_conjecture, ![X18:reg, X20:reg, X19:reg]:(((c @ (esk10_3 @ X18 @ france @ X19) @ X19)|(c @ (esk8_3 @ X18 @ france @ X20) @ X20)|(c @ esk3_0 @ X18)|~((c @ (esk9_3 @ X18 @ france @ X20) @ france))|~((c @ (esk11_3 @ X18 @ france @ X19) @ france)))), inference(spm,[status(thm)],[c_0_43, c_0_33])). 604.39/76.76 thf(c_0_47, negated_conjecture, ![X19:reg, X18:reg]:(((c @ paris @ (esk10_3 @ X18 @ france @ paris))|(c @ (esk8_3 @ X18 @ france @ paris) @ paris)|(c @ (esk10_3 @ X18 @ france @ X19) @ X19)|(c @ (esk11_3 @ X18 @ france @ X19) @ X19)|(c @ esk3_0 @ X18))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 604.39/76.76 thf(c_0_48, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk11_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk10_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk9_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk8_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_49, negated_conjecture, ![X18:reg, X19:reg]:(((c @ paris @ (esk10_3 @ X18 @ france @ paris))|(c @ (esk8_3 @ X18 @ france @ paris) @ paris)|(c @ (esk10_3 @ X18 @ france @ X19) @ X19)|(c @ esk3_0 @ X18)|~((c @ (esk11_3 @ X18 @ france @ X19) @ france)))), inference(spm,[status(thm)],[c_0_46, c_0_45])). 604.39/76.76 thf(c_0_50, negated_conjecture, ![X18:reg]:(((c @ (esk8_3 @ X18 @ france @ paris) @ paris)|(c @ paris @ (esk10_3 @ X18 @ france @ paris))|(c @ (esk11_3 @ X18 @ france @ paris) @ france)|(c @ esk3_0 @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_47]), c_0_39])). 604.39/76.76 thf(c_0_51, plain, ![X3:$i, X14:$i]:((~((c @ esk3_0 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_26])). 604.39/76.76 thf(c_0_52, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk10_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk9_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk11_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk8_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_53, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk11_3 @ X18 @ france @ X19) @ X19)|(c @ (esk10_3 @ X18 @ france @ X19) @ X19)|(c @ (esk9_3 @ X18 @ france @ X20) @ X20)|(c @ esk3_0 @ X18)|~((c @ (esk8_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_48, c_0_33])). 604.39/76.76 thf(c_0_54, negated_conjecture, ![X18:reg]:(((c @ (esk8_3 @ X18 @ france @ paris) @ paris)|(c @ paris @ (esk10_3 @ X18 @ france @ paris))|(c @ esk3_0 @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_39])). 604.39/76.76 thf(c_0_55, negated_conjecture, ~((c @ esk3_0 @ paris)), inference(spm,[status(thm)],[c_0_51, c_0_29])). 604.39/76.76 thf(c_0_56, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk10_3 @ X18 @ france @ X19) @ X19)|(c @ (esk9_3 @ X18 @ france @ X20) @ X20)|(c @ esk3_0 @ X18)|~((c @ (esk11_3 @ X18 @ france @ X19) @ france))|~((c @ (esk8_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_52, c_0_33])). 604.39/76.76 thf(c_0_57, negated_conjecture, ![X18:reg]:(((c @ paris @ (esk10_3 @ paris @ france @ paris))|(c @ (esk9_3 @ paris @ france @ paris) @ paris)|(c @ (esk10_3 @ paris @ france @ X18) @ X18)|(c @ (esk11_3 @ paris @ france @ X18) @ X18))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_55])). 604.39/76.76 thf(c_0_58, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk11_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk10_3 @ X20 @ X19 @ X21) @ X21)|~((c @ X18 @ X19))|~((c @ (esk9_3 @ X20 @ X19 @ X22) @ france))|~((c @ (esk8_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_59, negated_conjecture, ![X18:reg]:(((c @ paris @ (esk10_3 @ paris @ france @ paris))|(c @ (esk9_3 @ paris @ france @ paris) @ paris)|(c @ (esk10_3 @ paris @ france @ X18) @ X18)|~((c @ (esk11_3 @ paris @ france @ X18) @ france)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_54]), c_0_55])). 604.39/76.76 thf(c_0_60, negated_conjecture, ((c @ (esk9_3 @ paris @ france @ paris) @ paris)|(c @ paris @ (esk10_3 @ paris @ france @ paris))|(c @ (esk11_3 @ paris @ france @ paris) @ france)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_57]), c_0_39])). 604.39/76.76 thf(c_0_61, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk11_3 @ X18 @ france @ X19) @ X19)|(c @ (esk10_3 @ X18 @ france @ X19) @ X19)|(c @ esk3_0 @ X18)|~((c @ (esk9_3 @ X18 @ france @ X20) @ france))|~((c @ (esk8_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_58, c_0_33])). 604.39/76.76 thf(c_0_62, negated_conjecture, ((c @ (esk9_3 @ paris @ france @ paris) @ paris)|(c @ paris @ (esk10_3 @ paris @ france @ paris))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_39])). 604.39/76.76 thf(c_0_63, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk10_3 @ X20 @ X19 @ X21) @ X21)|~((c @ X18 @ X19))|~((c @ (esk11_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk9_3 @ X20 @ X19 @ X22) @ france))|~((c @ (esk8_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_64, negated_conjecture, ![X18:reg]:(((c @ paris @ (esk10_3 @ paris @ france @ paris))|(c @ (esk10_3 @ paris @ france @ X18) @ X18)|(c @ (esk11_3 @ paris @ france @ X18) @ X18)|~((c @ (esk9_3 @ paris @ france @ paris) @ france)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_54]), c_0_55])). 604.39/76.76 thf(c_0_65, negated_conjecture, ((c @ paris @ (esk10_3 @ paris @ france @ paris))|(c @ (esk9_3 @ paris @ france @ paris) @ france)), inference(spm,[status(thm)],[c_0_36, c_0_62])). 604.39/76.76 thf(c_0_66, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk10_3 @ X18 @ france @ X19) @ X19)|(c @ esk3_0 @ X18)|~((c @ (esk9_3 @ X18 @ france @ X20) @ france))|~((c @ (esk11_3 @ X18 @ france @ X19) @ france))|~((c @ (esk8_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_63, c_0_33])). 604.39/76.76 thf(c_0_67, negated_conjecture, ![X18:reg]:(((c @ paris @ (esk10_3 @ paris @ france @ paris))|(c @ (esk11_3 @ paris @ france @ X18) @ X18)|(c @ (esk10_3 @ paris @ france @ X18) @ X18))), inference(spm,[status(thm)],[c_0_64, c_0_65])). 604.39/76.76 thf(c_0_68, negated_conjecture, ![X18:reg]:(((c @ paris @ (esk10_3 @ paris @ france @ paris))|(c @ (esk10_3 @ paris @ france @ X18) @ X18)|~((c @ (esk9_3 @ paris @ france @ paris) @ france))|~((c @ (esk11_3 @ paris @ france @ X18) @ france)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66, c_0_54]), c_0_55])). 604.39/76.76 thf(c_0_69, negated_conjecture, ((c @ paris @ (esk10_3 @ paris @ france @ paris))|(c @ (esk11_3 @ paris @ france @ paris) @ france)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_67]), c_0_39])). 604.39/76.76 thf(c_0_70, negated_conjecture, ![X18:reg, X19:reg, X22:reg, X21:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk11_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk9_3 @ X20 @ X19 @ X22) @ X22)|(c @ (esk8_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk10_3 @ X20 @ X19 @ X21) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_71, negated_conjecture, (c @ paris @ (esk10_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])). 604.39/76.76 thf(c_0_72, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk11_3 @ X18 @ france @ X19) @ X19)|(c @ (esk9_3 @ X18 @ france @ X20) @ X20)|(c @ (esk8_3 @ X18 @ france @ X20) @ X20)|(c @ esk3_0 @ X18)|~((c @ (esk10_3 @ X18 @ france @ X19) @ X18)))), inference(spm,[status(thm)],[c_0_70, c_0_33])). 604.39/76.76 thf(c_0_73, negated_conjecture, (c @ (esk10_3 @ paris @ france @ paris) @ paris), inference(spm,[status(thm)],[c_0_39, c_0_71])). 604.39/76.76 thf(c_0_74, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X20:reg, X22:reg]:(((c @ X18 @ X20)|(c @ (esk11_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk8_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk10_3 @ X20 @ X19 @ X21) @ X20))|~((c @ (esk9_3 @ X20 @ X19 @ X22) @ france)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_75, negated_conjecture, ![X18:reg]:(((c @ (esk11_3 @ paris @ france @ paris) @ paris)|(c @ (esk8_3 @ paris @ france @ X18) @ X18)|(c @ (esk9_3 @ paris @ france @ X18) @ X18))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_55])). 604.39/76.76 thf(c_0_76, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk11_3 @ X18 @ france @ X19) @ X19)|(c @ (esk8_3 @ X18 @ france @ X20) @ X20)|(c @ esk3_0 @ X18)|~((c @ (esk9_3 @ X18 @ france @ X20) @ france))|~((c @ (esk10_3 @ X18 @ france @ X19) @ X18)))), inference(spm,[status(thm)],[c_0_74, c_0_33])). 604.39/76.76 thf(c_0_77, negated_conjecture, ![X18:reg]:(((c @ paris @ (esk11_3 @ paris @ france @ paris))|(c @ (esk9_3 @ paris @ france @ X18) @ X18)|(c @ (esk8_3 @ paris @ france @ X18) @ X18))), inference(spm,[status(thm)],[c_0_39, c_0_75])). 604.39/76.76 thf(c_0_78, negated_conjecture, ![X18:reg, X19:reg, X22:reg, X21:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk9_3 @ X20 @ X19 @ X22) @ X22)|(c @ (esk8_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk11_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk10_3 @ X20 @ X19 @ X21) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_79, negated_conjecture, ![X18:reg]:(((c @ (esk11_3 @ paris @ france @ paris) @ paris)|(c @ (esk8_3 @ paris @ france @ X18) @ X18)|~((c @ (esk9_3 @ paris @ france @ X18) @ france)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76, c_0_73]), c_0_55])). 604.39/76.76 thf(c_0_80, negated_conjecture, ((c @ (esk8_3 @ paris @ france @ paris) @ paris)|(c @ paris @ (esk11_3 @ paris @ france @ paris))|(c @ (esk9_3 @ paris @ france @ paris) @ france)), inference(spm,[status(thm)],[c_0_36, c_0_77])). 604.39/76.76 thf(c_0_81, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk9_3 @ X18 @ france @ X19) @ X19)|(c @ (esk8_3 @ X18 @ france @ X19) @ X19)|(c @ esk3_0 @ X18)|~((c @ (esk11_3 @ X18 @ france @ X20) @ france))|~((c @ (esk10_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_78, c_0_33])). 604.39/76.76 thf(c_0_82, negated_conjecture, ((c @ (esk8_3 @ paris @ france @ paris) @ paris)|(c @ (esk11_3 @ paris @ france @ paris) @ paris)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79, c_0_80]), c_0_39])). 604.39/76.76 thf(c_0_83, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X20:reg, X22:reg]:(((c @ X18 @ X20)|(c @ (esk8_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk11_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk10_3 @ X20 @ X19 @ X21) @ X20))|~((c @ (esk9_3 @ X20 @ X19 @ X22) @ france)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_84, negated_conjecture, ![X18:reg]:(((c @ (esk8_3 @ paris @ france @ X18) @ X18)|(c @ (esk9_3 @ paris @ france @ X18) @ X18)|~((c @ (esk11_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])])). 604.39/76.76 thf(c_0_85, negated_conjecture, ((c @ (esk8_3 @ paris @ france @ paris) @ paris)|(c @ (esk11_3 @ paris @ france @ paris) @ france)), inference(spm,[status(thm)],[c_0_36, c_0_82])). 604.39/76.76 thf(c_0_86, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk8_3 @ X18 @ france @ X19) @ X19)|(c @ esk3_0 @ X18)|~((c @ (esk9_3 @ X18 @ france @ X19) @ france))|~((c @ (esk11_3 @ X18 @ france @ X20) @ france))|~((c @ (esk10_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_83, c_0_33])). 604.39/76.76 thf(c_0_87, negated_conjecture, ![X18:reg]:(((c @ (esk8_3 @ paris @ france @ paris) @ paris)|(c @ (esk9_3 @ paris @ france @ X18) @ X18)|(c @ (esk8_3 @ paris @ france @ X18) @ X18))), inference(spm,[status(thm)],[c_0_84, c_0_85])). 604.39/76.76 thf(c_0_88, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk11_3 @ X20 @ X19 @ X21) @ X21)|(c @ (esk9_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk10_3 @ X20 @ X19 @ X21) @ X20))|~((c @ (esk8_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_89, negated_conjecture, ![X18:reg]:(((c @ (esk8_3 @ paris @ france @ X18) @ X18)|~((c @ (esk11_3 @ paris @ france @ paris) @ france))|~((c @ (esk9_3 @ paris @ france @ X18) @ france)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_73]), c_0_55])). 604.39/76.76 thf(c_0_90, negated_conjecture, ((c @ (esk8_3 @ paris @ france @ paris) @ paris)|(c @ (esk9_3 @ paris @ france @ paris) @ france)), inference(spm,[status(thm)],[c_0_36, c_0_87])). 604.39/76.76 thf(c_0_91, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk11_3 @ X18 @ france @ X19) @ X19)|(c @ (esk9_3 @ X18 @ france @ X20) @ X20)|(c @ esk3_0 @ X18)|~((c @ (esk8_3 @ X18 @ france @ X20) @ X18))|~((c @ (esk10_3 @ X18 @ france @ X19) @ X18)))), inference(spm,[status(thm)],[c_0_88, c_0_33])). 604.39/76.76 thf(c_0_92, negated_conjecture, (c @ (esk8_3 @ paris @ france @ paris) @ paris), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89, c_0_90]), c_0_85])). 604.39/76.76 thf(c_0_93, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk9_3 @ X20 @ X19 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk11_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk10_3 @ X20 @ X19 @ X21) @ X20))|~((c @ (esk8_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_94, negated_conjecture, ![X18:reg]:(((c @ (esk9_3 @ paris @ france @ paris) @ paris)|(c @ (esk11_3 @ paris @ france @ X18) @ X18)|~((c @ (esk10_3 @ paris @ france @ X18) @ paris)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_55])). 604.39/76.76 thf(c_0_95, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|(c @ (esk11_3 @ X20 @ X19 @ X21) @ X21)|~((c @ X18 @ X19))|~((c @ (esk10_3 @ X20 @ X19 @ X21) @ X20))|~((c @ (esk9_3 @ X20 @ X19 @ X22) @ france))|~((c @ (esk8_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_96, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk9_3 @ X18 @ france @ X19) @ X19)|(c @ esk3_0 @ X18)|~((c @ (esk11_3 @ X18 @ france @ X20) @ france))|~((c @ (esk8_3 @ X18 @ france @ X19) @ X18))|~((c @ (esk10_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_93, c_0_33])). 604.39/76.76 thf(c_0_97, negated_conjecture, ((c @ (esk11_3 @ paris @ france @ paris) @ paris)|(c @ (esk9_3 @ paris @ france @ paris) @ paris)), inference(spm,[status(thm)],[c_0_94, c_0_73])). 604.39/76.76 thf(c_0_98, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk11_3 @ X18 @ france @ X19) @ X19)|(c @ esk3_0 @ X18)|~((c @ (esk9_3 @ X18 @ france @ X20) @ france))|~((c @ (esk8_3 @ X18 @ france @ X20) @ X18))|~((c @ (esk10_3 @ X18 @ france @ X19) @ X18)))), inference(spm,[status(thm)],[c_0_95, c_0_33])). 604.39/76.76 thf(c_0_99, negated_conjecture, ![X18:reg]:(((c @ (esk9_3 @ paris @ france @ paris) @ paris)|~((c @ (esk11_3 @ paris @ france @ X18) @ france))|~((c @ (esk10_3 @ paris @ france @ X18) @ paris)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_92]), c_0_55])). 604.39/76.76 thf(c_0_100, negated_conjecture, ((c @ (esk9_3 @ paris @ france @ paris) @ paris)|(c @ (esk11_3 @ paris @ france @ paris) @ france)), inference(spm,[status(thm)],[c_0_36, c_0_97])). 604.39/76.76 thf(c_0_101, negated_conjecture, ![X18:reg, X19:reg, X21:reg, X22:reg, X20:reg]:(((c @ X18 @ X20)|~((c @ X18 @ X19))|~((c @ (esk11_3 @ X20 @ X19 @ X21) @ france))|~((c @ (esk10_3 @ X20 @ X19 @ X21) @ X20))|~((c @ (esk9_3 @ X20 @ X19 @ X22) @ france))|~((c @ (esk8_3 @ X20 @ X19 @ X22) @ X20)))), inference(split_conjunct,[status(thm)],[c_0_27])). 604.39/76.76 thf(c_0_102, negated_conjecture, ![X18:reg]:(((c @ (esk11_3 @ paris @ france @ X18) @ X18)|~((c @ (esk9_3 @ paris @ france @ paris) @ france))|~((c @ (esk10_3 @ paris @ france @ X18) @ paris)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_98, c_0_92]), c_0_55])). 604.39/76.76 thf(c_0_103, negated_conjecture, (c @ (esk9_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])])). 604.39/76.76 thf(c_0_104, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ esk3_0 @ X18)|~((c @ (esk9_3 @ X18 @ france @ X19) @ france))|~((c @ (esk11_3 @ X18 @ france @ X20) @ france))|~((c @ (esk8_3 @ X18 @ france @ X19) @ X18))|~((c @ (esk10_3 @ X18 @ france @ X20) @ X18)))), inference(spm,[status(thm)],[c_0_101, c_0_33])). 604.39/76.76 thf(c_0_105, negated_conjecture, ((c @ (esk11_3 @ paris @ france @ paris) @ paris)|~((c @ (esk9_3 @ paris @ france @ paris) @ france))), inference(spm,[status(thm)],[c_0_102, c_0_73])). 604.39/76.76 thf(c_0_106, negated_conjecture, (c @ (esk9_3 @ paris @ france @ paris) @ france), inference(spm,[status(thm)],[c_0_36, c_0_103])). 604.39/76.76 thf(c_0_107, negated_conjecture, ![X18:reg]:((~((c @ (esk9_3 @ paris @ france @ paris) @ france))|~((c @ (esk11_3 @ paris @ france @ X18) @ france))|~((c @ (esk10_3 @ paris @ france @ X18) @ paris)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104, c_0_92]), c_0_55])). 604.39/76.76 thf(c_0_108, negated_conjecture, (c @ (esk11_3 @ paris @ france @ paris) @ paris), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105, c_0_106])])). 604.39/76.76 thf(c_0_109, negated_conjecture, ![X18:reg]:((~((c @ (esk11_3 @ paris @ france @ X18) @ france))|~((c @ (esk10_3 @ paris @ france @ X18) @ paris)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107, c_0_106])])). 604.39/76.76 thf(c_0_110, negated_conjecture, (c @ (esk11_3 @ paris @ france @ paris) @ france), inference(spm,[status(thm)],[c_0_36, c_0_108])). 604.39/76.76 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']). 604.39/76.76 # SZS output end CNFRefutation 604.39/76.76 # Parsed axioms : 98 604.39/76.76 # Removed by relevancy pruning/SinE : 0 604.39/76.76 # Initial clauses : 115 604.39/76.76 # Removed in clause preprocessing : 49 604.39/76.76 # Initial clauses in saturation : 66 604.39/76.76 # Processed clauses : 23276 604.39/76.76 # ...of these trivial : 706 604.39/76.76 # ...subsumed : 8532 604.39/76.76 # ...remaining for further processing : 14038 604.39/76.76 # Other redundant clauses eliminated : 0 604.39/76.76 # Clauses deleted for lack of memory : 0 604.39/76.76 # Backward-subsumed : 1174 604.39/76.76 # Backward-rewritten : 122 604.39/76.76 # Generated clauses : 1855016 604.39/76.76 # ...of the previous two non-redundant : 1743764 604.39/76.76 # ...aggressively subsumed : 0 604.39/76.76 # Contextual simplify-reflections : 196 604.39/76.76 # Paramodulations : 1854698 604.39/76.76 # Factorizations : 318 604.39/76.76 # NegExts : 0 604.39/76.76 # Equation resolutions : 0 604.39/76.76 # Disequality decompositions : 0 604.39/76.76 # Total rewrite steps : 115473 604.39/76.76 # ...of those cached : 115359 604.39/76.76 # Propositional unsat checks : 0 604.39/76.76 # Propositional check models : 0 604.39/76.76 # Propositional check unsatisfiable : 0 604.39/76.76 # Propositional clauses : 0 604.39/76.76 # Propositional clauses after purity: 0 604.39/76.76 # Propositional unsat core size : 0 604.39/76.76 # Propositional preprocessing time : 0.000 604.39/76.76 # Propositional encoding time : 0.000 604.39/76.76 # Propositional solver time : 0.000 604.39/76.76 # Success case prop preproc time : 0.000 604.39/76.76 # Success case prop encoding time : 0.000 604.39/76.76 # Success case prop solver time : 0.000 604.39/76.76 # Current number of processed clauses : 12676 604.39/76.76 # Positive orientable unit clauses : 61 604.39/76.76 # Positive unorientable unit clauses: 0 604.39/76.76 # Negative unit clauses : 2 604.39/76.76 # Non-unit-clauses : 12613 604.39/76.76 # Current number of unprocessed clauses: 1714673 604.39/76.76 # ...number of literals in the above : 14621239 604.39/76.76 # Current number of archived formulas : 0 604.39/76.76 # Current number of archived clauses : 1362 604.39/76.76 # Clause-clause subsumption calls (NU) : 102858956 604.39/76.76 # Rec. Clause-clause subsumption calls : 1642887 604.39/76.76 # Non-unit clause-clause subsumptions : 9918 604.39/76.76 # Unit Clause-clause subsumption calls : 36040 604.39/76.76 # Rewrite failures with RHS unbound : 0 604.39/76.76 # BW rewrite match attempts : 40 604.39/76.76 # BW rewrite match successes : 30 604.39/76.76 # Condensation attempts : 23276 604.39/76.76 # Condensation successes : 49 604.39/76.76 # Termbank termtop insertions : 73152354 604.39/76.76 # Search garbage collected termcells : 2195 604.39/76.76 604.39/76.76 # ------------------------------------------------- 604.39/76.76 # User time : 74.053 s 604.39/76.76 # System time : 0.971 s 604.39/76.76 # Total time : 75.024 s 604.39/76.76 # Maximum resident set size: 2364 pages 604.39/76.76 604.39/76.76 # ------------------------------------------------- 604.39/76.76 # User time : 370.963 s 604.39/76.76 # System time : 5.524 s 604.39/76.76 # Total time : 376.487 s 604.39/76.76 # Maximum resident set size: 1828 pages 604.39/76.76 % E---3.1 exiting 604.39/76.76 % E exiting 604.39/76.76 EOF