0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.19/0.44 % Computer : n009.cluster.edu 0.19/0.44 % Model : x86_64 x86_64 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.19/0.44 % Memory : 8046.5625MB 0.19/0.44 % OS : Linux 6.8.0-71-generic 0.19/0.44 % CPULimit : 1440 0.19/0.44 % WCLimit : 180 0.19/0.44 % DateTime : Mon Jul 27 11:54:43 UTC 2026 0.19/0.44 % CPUTime : 0.19/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.25/0.51 Running higher-order theorem proving 0.25/0.54 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.kHHyanc6RD/E---3.1_1094084.p 0.31/0.99 % Version: 3.5.1-ho 0.31/0.99 % Preprocessing class: HSMSSMSSMLLNHSN. 0.31/0.99 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.31/0.99 % Starting new_ho_10_cnf2 with 900s (5) cores 0.31/0.99 % Starting post_as_ho3 with 180s (1) cores 0.31/0.99 % Starting new_ho_12 with 180s (1) cores 0.31/0.99 % Starting new_bool_2 with 180s (1) cores 0.31/0.99 % new_bool_2 with pid 1094100 completed with status 0 0.31/0.99 % Result found by new_bool_2 0.31/0.99 % Preprocessing class: HSMSSMSSMLLNHSN. 0.31/0.99 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.31/0.99 % Starting new_ho_10_cnf2 with 900s (5) cores 0.31/0.99 % Starting post_as_ho3 with 180s (1) cores 0.31/0.99 % Starting new_ho_12 with 180s (1) cores 0.31/0.99 % Starting new_bool_2 with 180s (1) cores 0.31/0.99 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.31/0.99 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.31/0.99 % Search class: HGHNF-FFMF21-SHSSMSBN 0.31/0.99 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.31/0.99 % Starting SubtermCWHack with 17s (1) cores 0.31/0.99 % SubtermCWHack with pid 1094101 completed with status 0 0.31/0.99 % Result found by SubtermCWHack 0.31/0.99 % Preprocessing class: HSMSSMSSMLLNHSN. 0.31/0.99 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.31/0.99 % Starting new_ho_10_cnf2 with 900s (5) cores 0.31/0.99 % Starting post_as_ho3 with 180s (1) cores 0.31/0.99 % Starting new_ho_12 with 180s (1) cores 0.31/0.99 % Starting new_bool_2 with 180s (1) cores 0.31/0.99 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)) 0.31/0.99 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0) 0.31/0.99 % Search class: HGHNF-FFMF21-SHSSMSBN 0.31/0.99 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 0.31/0.99 % Starting SubtermCWHack with 17s (1) cores 0.31/0.99 % Preprocessing time : 0.002 s 0.31/0.99 0.31/0.99 % Proof found! 0.31/0.99 % SZS status Theorem 0.31/0.99 % SZS output start CNFRefutation 0.31/0.99 thf(decl_sort1, type, reg: $tType). 0.31/0.99 thf(decl_38, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.31/0.99 thf(decl_50, type, mvalid: ($i > $o) > $o). 0.31/0.99 thf(decl_54, type, c: reg > reg > $o). 0.31/0.99 thf(decl_56, type, p: reg > reg > $o). 0.31/0.99 thf(decl_58, type, o: reg > reg > $o). 0.31/0.99 thf(decl_60, type, ec: reg > reg > $o). 0.31/0.99 thf(decl_61, type, pp: reg > reg > $o). 0.31/0.99 thf(decl_62, type, tpp: reg > reg > $o). 0.31/0.99 thf(decl_63, type, ntpp: reg > reg > $o). 0.31/0.99 thf(decl_64, type, catalunya: reg). 0.31/0.99 thf(decl_65, type, france: reg). 0.31/0.99 thf(decl_66, type, spain: reg). 0.31/0.99 thf(decl_67, type, paris: reg). 0.31/0.99 thf(decl_68, type, a: $i > $i > $o). 0.31/0.99 thf(decl_70, type, esk1_0: $i). 0.31/0.99 thf(decl_71, type, esk2_0: $i). 0.31/0.99 thf(decl_72, type, esk3_0: reg). 0.31/0.99 thf(decl_73, type, esk4_0: reg). 0.31/0.99 thf(decl_74, type, esk5_0: reg). 0.31/0.99 thf(decl_75, type, esk6_1: reg > reg). 0.31/0.99 thf(decl_76, type, esk7_1: reg > reg). 0.31/0.99 thf(decl_77, type, esk8_1: reg > reg). 0.31/0.99 thf(decl_78, type, esk9_1: reg > reg). 0.31/0.99 thf(decl_79, type, esk10_0: reg). 0.31/0.99 thf(decl_80, type, esk11_0: reg). 0.31/0.99 thf(decl_81, type, esk12_1: reg > reg). 0.31/0.99 thf(decl_82, type, esk13_1: reg > reg). 0.31/0.99 thf(decl_83, type, esk14_1: reg > reg). 0.31/0.99 thf(decl_84, type, esk15_1: reg > reg). 0.31/0.99 thf(decl_87, type, esk18_0: reg). 0.31/0.99 thf(decl_88, type, esk19_1: reg > reg). 0.31/0.99 thf(decl_89, type, esk20_1: reg > reg). 0.31/0.99 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:((((p @ X22 @ X25))&((p @ X22 @ X26))))))), file('/export/starexec/sandbox2/tmp/tmp.kHHyanc6RD/E---3.1_1094084.p', o)). 0.31/1.00 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:((((c @ X22 @ X20))=>((c @ X22 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.kHHyanc6RD/E---3.1_1094084.p', p)). 0.31/1.00 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X40:$i]:(![X22:reg]:((((((o @ X22 @ catalunya))|((o @ X22 @ paris))))=>((((o @ X22 @ france))|((o @ X22 @ spain)))))))))), file('/export/starexec/sandbox2/tmp/tmp.kHHyanc6RD/E---3.1_1094084.p', con)). 0.31/1.00 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:(((~((X13 @ X3 @ X14)))|((X6 @ X14))))))), file('/export/starexec/sandbox2/tmp/tmp.kHHyanc6RD/E---3.1_1094084.p', mbox)). 0.31/1.00 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.kHHyanc6RD/E---3.1_1094084.p', mvalid)). 0.31/1.00 thf(c_symmetric, axiom, ![X37:reg, X38:reg]:(((c @ X38 @ X37)<=(c @ X37 @ X38))), file('/export/starexec/sandbox2/tmp/tmp.kHHyanc6RD/E---3.1_1094084.p', c_symmetric)). 0.31/1.00 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:((((p @ X31 @ X32))&(~((p @ X32 @ X31))))))), file('/export/starexec/sandbox2/tmp/tmp.kHHyanc6RD/E---3.1_1094084.p', pp)). 0.31/1.00 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:((((c @ X29 @ X30))&(~((o @ X29 @ X30))))))), file('/export/starexec/sandbox2/tmp/tmp.kHHyanc6RD/E---3.1_1094084.p', ec)). 0.31/1.00 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.kHHyanc6RD/E---3.1_1094084.p', ntpp)). 0.31/1.00 thf(ax3, axiom, (mvalid @ (mbox @ a @ (^[X43:$i]:((ntpp @ paris @ france))))), file('/export/starexec/sandbox2/tmp/tmp.kHHyanc6RD/E---3.1_1094084.p', ax3)). 0.31/1.00 thf(tpp, axiom, ((tpp)=(^[X33:reg, X34:reg]:((((pp @ X33 @ X34))&(?[X22:reg]:((((ec @ X22 @ X33))&((ec @ X22 @ X34))))))))), file('/export/starexec/sandbox2/tmp/tmp.kHHyanc6RD/E---3.1_1094084.p', tpp)). 0.31/1.00 thf(ax1, axiom, (mvalid @ (mbox @ a @ (^[X42:$i]:((tpp @ catalunya @ spain))))), file('/export/starexec/sandbox2/tmp/tmp.kHHyanc6RD/E---3.1_1094084.p', ax1)). 0.31/1.00 thf(c_0_12, plain, ((o)=(^[Z0:reg, Z1:reg]:(?[X22:reg]:((((![X48:reg]:((((c @ X48 @ X22))=>((c @ X48 @ Z0))))))&((![X49:reg]:((((c @ X49 @ X22))=>((c @ X49 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[o])). 0.31/1.00 thf(c_0_13, plain, ((p)=(^[Z0:reg, Z1:reg]:(![X22:reg]:((((c @ X22 @ Z0))=>((c @ X22 @ Z1))))))), inference(fof_simplification,[status(thm)],[p])). 0.31/1.00 thf(c_0_14, negated_conjecture, ~((mvalid @ (mbox @ a @ (^[X40:$i]:(![X22:reg]:((((((o @ X22 @ catalunya))|((o @ X22 @ paris))))=>((((o @ X22 @ france))|((o @ X22 @ spain))))))))))), inference(assume_negation,[status(cth)],[con])). 0.31/1.00 thf(c_0_15, plain, ((o)=(^[Z0:reg, Z1:reg]:(?[X22:reg]:((((![X48:reg]:((((c @ X48 @ X22))=>((c @ X48 @ Z0))))))&((![X49:reg]:((((c @ X49 @ X22))=>((c @ X49 @ Z1))))))))))), inference(apply_def,[status(thm)],[c_0_12, c_0_13])). 0.31/1.00 thf(c_0_16, plain, ((mbox)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:(((~((Z0 @ Z2 @ X14)))|((Z1 @ X14))))))), inference(fof_simplification,[status(thm)],[mbox])). 0.31/1.00 thf(c_0_17, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.31/1.00 thf(c_0_18, plain, ![X37:reg, X38:reg]:(((c @ X37 @ X38)=>(c @ X38 @ X37))), inference(fof_simplification,[status(thm)],[c_symmetric])). 0.31/1.00 thf(c_0_19, negated_conjecture, ~(![X84:$i, X83:$i]:((~(a @ X84 @ X83)|![X22:reg]:(((?[X71:reg]:((![X72:reg]:(((c @ X72 @ X71)=>(c @ X72 @ X22)))&![X73:reg]:(((c @ X73 @ X71)=>(c @ X73 @ catalunya)))))|?[X74:reg]:((![X75:reg]:(((c @ X75 @ X74)=>(c @ X75 @ X22)))&![X76:reg]:(((c @ X76 @ X74)=>(c @ X76 @ paris))))))=>(?[X77:reg]:((![X78:reg]:(((c @ X78 @ X77)=>(c @ X78 @ X22)))&![X79:reg]:(((c @ X79 @ X77)=>(c @ X79 @ france)))))|?[X80:reg]:((![X81:reg]:(((c @ X81 @ X80)=>(c @ X81 @ X22)))&![X82:reg]:(((c @ X82 @ X80)=>(c @ X82 @ 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)],[c_0_14]), c_0_15]), c_0_16]), c_0_17])])). 0.31/1.00 thf(c_0_20, plain, ![X170:reg, X171:reg]:((~(c @ X170 @ X171)|(c @ X171 @ X170))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])). 0.31/1.00 thf(c_0_21, negated_conjecture, ![X128:reg, X129:reg, X131:reg, X132:reg, X133:reg, X136:reg]:(((a @ esk1_0 @ esk2_0)&((((~(c @ X131 @ esk5_0)|(c @ X131 @ esk3_0)|(~(c @ X128 @ esk4_0)|(c @ X128 @ esk3_0)))&(~(c @ X132 @ esk5_0)|(c @ X132 @ paris)|(~(c @ X128 @ esk4_0)|(c @ X128 @ esk3_0))))&((~(c @ X131 @ esk5_0)|(c @ X131 @ esk3_0)|(~(c @ X129 @ esk4_0)|(c @ X129 @ catalunya)))&(~(c @ X132 @ esk5_0)|(c @ X132 @ paris)|(~(c @ X129 @ esk4_0)|(c @ X129 @ catalunya)))))&(((((c @ (esk7_1 @ X133) @ X133)|(c @ (esk6_1 @ X133) @ X133))&(~(c @ (esk7_1 @ X133) @ france)|(c @ (esk6_1 @ X133) @ X133)))&(((c @ (esk7_1 @ X133) @ X133)|~(c @ (esk6_1 @ X133) @ esk3_0))&(~(c @ (esk7_1 @ X133) @ france)|~(c @ (esk6_1 @ X133) @ esk3_0))))&((((c @ (esk9_1 @ X136) @ X136)|(c @ (esk8_1 @ X136) @ X136))&(~(c @ (esk9_1 @ X136) @ spain)|(c @ (esk8_1 @ X136) @ X136)))&(((c @ (esk9_1 @ X136) @ X136)|~(c @ (esk8_1 @ X136) @ esk3_0))&(~(c @ (esk9_1 @ X136) @ spain)|~(c @ (esk8_1 @ X136) @ esk3_0)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])])). 0.31/1.00 thf(c_0_22, plain, ((pp)=(^[Z0:reg, Z1:reg]:((((![X53:reg]:((((c @ X53 @ Z0))=>((c @ X53 @ Z1))))))&(~((![X54:reg]:((((c @ X54 @ Z1))=>((c @ X54 @ Z0))))))))))), inference(fof_simplification,[status(thm)],[pp])). 0.31/1.00 thf(c_0_23, plain, ((ec)=(^[Z0:reg, Z1:reg]:((((c @ Z0 @ Z1))&(~((?[X50:reg]:((((![X51:reg]:((((c @ X51 @ X50))=>((c @ X51 @ Z0))))))&((![X52:reg]:((((c @ X52 @ X50))=>((c @ X52 @ Z1))))))))))))))), inference(fof_simplification,[status(thm)],[ec])). 0.31/1.00 thf(c_0_24, plain, ![X18:reg, X19:reg]:(((c @ X19 @ X18)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.31/1.00 thf(c_0_25, negated_conjecture, ![X18:reg]:(((c @ (esk9_1 @ X18) @ X18)|(c @ (esk8_1 @ X18) @ X18))), inference(split_conjunct,[status(thm)],[c_0_21])). 0.31/1.00 thf(c_0_26, negated_conjecture, ![X18:reg]:(((c @ (esk9_1 @ X18) @ X18)|~((c @ (esk8_1 @ X18) @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_21])). 0.31/1.00 thf(c_0_27, plain, ((ntpp)=(^[Z0:reg, Z1:reg]:(((((((![X63:reg]:((((c @ X63 @ Z0))=>((c @ X63 @ Z1))))))&(~((![X64:reg]:((((c @ X64 @ Z1))=>((c @ X64 @ Z0))))))))))&(~(?[X22:reg]:(((((((c @ X22 @ Z0))&(~((?[X65:reg]:((((![X66:reg]:((((c @ X66 @ X65))=>((c @ X66 @ X22))))))&((![X67:reg]:((((c @ X67 @ X65))=>((c @ X67 @ Z0))))))))))))))&(((((c @ X22 @ Z1))&(~((?[X68:reg]:((((![X69:reg]:((((c @ X69 @ X68))=>((c @ X69 @ X22))))))&((![X70:reg]:((((c @ X70 @ X68))=>((c @ X70 @ Z1)))))))))))))))))))))), inference(fof_simplification,[status(thm)],[ntpp])). 0.31/1.00 thf(c_0_28, plain, ((pp)=(^[Z0:reg, Z1:reg]:((((![X53:reg]:((((c @ X53 @ Z0))=>((c @ X53 @ Z1))))))&(~((![X54:reg]:((((c @ X54 @ Z1))=>((c @ X54 @ Z0))))))))))), inference(apply_def,[status(thm)],[c_0_22, c_0_13])). 0.31/1.00 thf(c_0_29, plain, ((ec)=(^[Z0:reg, Z1:reg]:((((c @ Z0 @ Z1))&(~((?[X50:reg]:((((![X51:reg]:((((c @ X51 @ X50))=>((c @ X51 @ Z0))))))&((![X52:reg]:((((c @ X52 @ X50))=>((c @ X52 @ Z1))))))))))))))), inference(apply_def,[status(thm)],[c_0_23, c_0_15])). 0.31/1.00 thf(c_0_30, 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_21])). 0.31/1.00 thf(c_0_31, negated_conjecture, ![X18:reg]:(((c @ (esk8_1 @ X18) @ X18)|(c @ X18 @ (esk9_1 @ X18)))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 0.31/1.00 thf(c_0_32, negated_conjecture, ![X18:reg]:(((c @ X18 @ (esk9_1 @ X18))|~((c @ (esk8_1 @ X18) @ esk3_0)))), inference(spm,[status(thm)],[c_0_24, c_0_26])). 0.31/1.00 thf(c_0_33, negated_conjecture, ![X18:reg]:(((c @ (esk7_1 @ X18) @ X18)|(c @ (esk6_1 @ X18) @ X18))), inference(split_conjunct,[status(thm)],[c_0_21])). 0.31/1.00 thf(c_0_34, negated_conjecture, ![X18:reg]:(((c @ (esk7_1 @ X18) @ X18)|~((c @ (esk6_1 @ X18) @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_21])). 0.31/1.00 thf(c_0_35, plain, ((ntpp)=(^[Z0:reg, Z1:reg]:(((((((![X63:reg]:((((c @ X63 @ Z0))=>((c @ X63 @ Z1))))))&(~((![X64:reg]:((((c @ X64 @ Z1))=>((c @ X64 @ Z0))))))))))&(~(?[X22:reg]:(((((((c @ X22 @ Z0))&(~((?[X65:reg]:((((![X66:reg]:((((c @ X66 @ X65))=>((c @ X66 @ X22))))))&((![X67:reg]:((((c @ X67 @ X65))=>((c @ X67 @ Z0))))))))))))))&(((((c @ X22 @ Z1))&(~((?[X68:reg]:((((![X69:reg]:((((c @ X69 @ X68))=>((c @ X69 @ X22))))))&((![X70:reg]:((((c @ X70 @ X68))=>((c @ X70 @ Z1)))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27, c_0_28]), c_0_29])). 0.31/1.00 thf(c_0_36, negated_conjecture, ![X18:reg]:(((c @ esk4_0 @ (esk9_1 @ esk4_0))|(c @ X18 @ esk3_0)|~((c @ X18 @ esk5_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32])). 0.31/1.00 thf(c_0_37, negated_conjecture, ![X18:reg]:(((c @ (esk6_1 @ X18) @ X18)|(c @ X18 @ (esk7_1 @ X18)))), inference(spm,[status(thm)],[c_0_24, c_0_33])). 0.31/1.00 thf(c_0_38, negated_conjecture, ![X18:reg]:(((c @ X18 @ (esk7_1 @ X18))|~((c @ (esk6_1 @ X18) @ esk3_0)))), inference(spm,[status(thm)],[c_0_24, c_0_34])). 0.31/1.00 thf(c_0_39, plain, ![X111:$i, X110:$i]:((~(a @ X111 @ X110)|((![X101:reg]:(((c @ X101 @ paris)=>(c @ X101 @ france)))&~(![X102:reg]:(((c @ X102 @ france)=>(c @ X102 @ paris)))))&~(?[X103:reg]:((((c @ X103 @ paris)&~(?[X104:reg]:((![X105:reg]:(((c @ X105 @ X104)=>(c @ X105 @ X103)))&![X106:reg]:(((c @ X106 @ X104)=>(c @ X106 @ paris)))))))&((c @ X103 @ france)&~(?[X107:reg]:((![X108:reg]:(((c @ X108 @ X107)=>(c @ X108 @ X103)))&![X109:reg]:(((c @ X109 @ X107)=>(c @ X109 @ 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_35]), c_0_16]), c_0_17])])). 0.31/1.00 thf(c_0_40, 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_21])). 0.31/1.00 thf(c_0_41, negated_conjecture, ((c @ esk5_0 @ (esk7_1 @ esk5_0))|(c @ esk4_0 @ (esk9_1 @ esk4_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])). 0.31/1.00 thf(c_0_42, plain, ![X155:$i, X156:$i, X157:reg, X159:reg, X161:reg, X162:reg, X164:reg, X165:reg]:((((~(c @ X157 @ paris)|(c @ X157 @ france)|~(a @ X155 @ X156))&(((c @ esk18_0 @ france)|~(a @ X155 @ X156))&(~(c @ esk18_0 @ paris)|~(a @ X155 @ X156))))&(((~(c @ X164 @ (esk20_1 @ X159))|(c @ X164 @ X159)|~(c @ X159 @ france)|(~(c @ X161 @ (esk19_1 @ X159))|(c @ X161 @ X159)|~(c @ X159 @ paris))|~(a @ X155 @ X156))&(~(c @ X165 @ (esk20_1 @ X159))|(c @ X165 @ france)|~(c @ X159 @ france)|(~(c @ X161 @ (esk19_1 @ X159))|(c @ X161 @ X159)|~(c @ X159 @ paris))|~(a @ X155 @ X156)))&((~(c @ X164 @ (esk20_1 @ X159))|(c @ X164 @ X159)|~(c @ X159 @ france)|(~(c @ X162 @ (esk19_1 @ X159))|(c @ X162 @ paris)|~(c @ X159 @ paris))|~(a @ X155 @ X156))&(~(c @ X165 @ (esk20_1 @ X159))|(c @ X165 @ france)|~(c @ X159 @ france)|(~(c @ X162 @ (esk19_1 @ X159))|(c @ X162 @ paris)|~(c @ X159 @ paris))|~(a @ X155 @ X156)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])])])). 0.31/1.00 thf(c_0_43, negated_conjecture, ![X18:reg]:(((c @ esk4_0 @ (esk9_1 @ esk4_0))|(c @ X18 @ paris)|~((c @ X18 @ esk5_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_31]), c_0_32])). 0.31/1.00 thf(c_0_44, negated_conjecture, ((c @ esk4_0 @ (esk9_1 @ esk4_0))|(c @ (esk7_1 @ esk5_0) @ esk5_0)), inference(spm,[status(thm)],[c_0_24, c_0_41])). 0.31/1.00 thf(c_0_45, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ france)|~((c @ X18 @ paris))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_42])). 0.31/1.00 thf(c_0_46, negated_conjecture, ((c @ (esk7_1 @ esk5_0) @ paris)|(c @ esk4_0 @ (esk9_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 0.31/1.00 thf(c_0_47, negated_conjecture, ![X3:$i, X14:$i]:(((c @ esk4_0 @ (esk9_1 @ esk4_0))|(c @ (esk7_1 @ esk5_0) @ france)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 0.31/1.00 thf(c_0_48, negated_conjecture, (a @ esk1_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_21])). 0.31/1.00 thf(c_0_49, negated_conjecture, ![X18:reg]:(((c @ (esk6_1 @ X18) @ X18)|~((c @ (esk7_1 @ X18) @ france)))), inference(split_conjunct,[status(thm)],[c_0_21])). 0.31/1.00 thf(c_0_50, negated_conjecture, ((c @ (esk7_1 @ esk5_0) @ france)|(c @ esk4_0 @ (esk9_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_47, c_0_48])). 0.31/1.00 thf(c_0_51, negated_conjecture, ![X18:reg]:((~((c @ (esk7_1 @ X18) @ france))|~((c @ (esk6_1 @ X18) @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_21])). 0.31/1.00 thf(c_0_52, negated_conjecture, ((c @ esk4_0 @ (esk9_1 @ esk4_0))|(c @ (esk6_1 @ esk5_0) @ esk5_0)), inference(spm,[status(thm)],[c_0_49, c_0_50])). 0.31/1.00 thf(c_0_53, negated_conjecture, ((c @ esk4_0 @ (esk9_1 @ esk4_0))|~((c @ (esk6_1 @ esk5_0) @ esk3_0))), inference(spm,[status(thm)],[c_0_51, c_0_50])). 0.31/1.00 thf(c_0_54, negated_conjecture, (c @ esk4_0 @ (esk9_1 @ esk4_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_52]), c_0_53])). 0.31/1.00 thf(c_0_55, 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_21])). 0.31/1.00 thf(c_0_56, negated_conjecture, (c @ (esk9_1 @ esk4_0) @ esk4_0), inference(spm,[status(thm)],[c_0_24, c_0_54])). 0.31/1.00 thf(c_0_57, negated_conjecture, ![X18:reg]:(((c @ (esk9_1 @ esk4_0) @ catalunya)|(c @ X18 @ esk3_0)|~((c @ X18 @ esk5_0)))), inference(spm,[status(thm)],[c_0_55, c_0_56])). 0.31/1.00 thf(c_0_58, negated_conjecture, ((c @ esk5_0 @ (esk7_1 @ esk5_0))|(c @ (esk9_1 @ esk4_0) @ catalunya)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_37]), c_0_38])). 0.31/1.00 thf(c_0_59, 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_21])). 0.31/1.00 thf(c_0_60, negated_conjecture, ((c @ esk5_0 @ (esk7_1 @ esk5_0))|(c @ catalunya @ (esk9_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_24, c_0_58])). 0.31/1.00 thf(c_0_61, negated_conjecture, ![X18:reg]:(((c @ (esk9_1 @ esk4_0) @ catalunya)|(c @ X18 @ paris)|~((c @ X18 @ esk5_0)))), inference(spm,[status(thm)],[c_0_59, c_0_56])). 0.31/1.00 thf(c_0_62, negated_conjecture, ((c @ catalunya @ (esk9_1 @ esk4_0))|(c @ (esk7_1 @ esk5_0) @ esk5_0)), inference(spm,[status(thm)],[c_0_24, c_0_60])). 0.31/1.00 thf(c_0_63, negated_conjecture, ((c @ (esk7_1 @ esk5_0) @ paris)|(c @ (esk9_1 @ esk4_0) @ catalunya)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_24])). 0.31/1.00 thf(c_0_64, negated_conjecture, ((c @ (esk7_1 @ esk5_0) @ paris)|(c @ catalunya @ (esk9_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_24, c_0_63])). 0.31/1.00 thf(c_0_65, negated_conjecture, ![X3:$i, X14:$i]:(((c @ catalunya @ (esk9_1 @ esk4_0))|(c @ (esk7_1 @ esk5_0) @ france)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_45, c_0_64])). 0.31/1.00 thf(c_0_66, plain, ((tpp)=(^[Z0:reg, Z1:reg]:(((((((![X55:reg]:((((c @ X55 @ Z0))=>((c @ X55 @ Z1))))))&(~((![X56:reg]:((((c @ X56 @ Z1))=>((c @ X56 @ Z0))))))))))&(?[X22:reg]:(((((((c @ X22 @ Z0))&(~((?[X57:reg]:((((![X58:reg]:((((c @ X58 @ X57))=>((c @ X58 @ X22))))))&((![X59:reg]:((((c @ X59 @ X57))=>((c @ X59 @ Z0))))))))))))))&(((((c @ X22 @ Z1))&(~((?[X60:reg]:((((![X61:reg]:((((c @ X61 @ X60))=>((c @ X61 @ X22))))))&((![X62:reg]:((((c @ X62 @ X60))=>((c @ X62 @ Z1))))))))))))))))))))), inference(fof_simplification,[status(thm)],[tpp])). 0.31/1.00 thf(c_0_67, negated_conjecture, ((c @ (esk7_1 @ esk5_0) @ france)|(c @ catalunya @ (esk9_1 @ esk4_0))), inference(spm,[status(thm)],[c_0_65, c_0_48])). 0.31/1.00 thf(c_0_68, plain, ((tpp)=(^[Z0:reg, Z1:reg]:(((((((![X55:reg]:((((c @ X55 @ Z0))=>((c @ X55 @ Z1))))))&(~((![X56:reg]:((((c @ X56 @ Z1))=>((c @ X56 @ Z0))))))))))&(?[X22:reg]:(((((((c @ X22 @ Z0))&(~((?[X57:reg]:((((![X58:reg]:((((c @ X58 @ X57))=>((c @ X58 @ X22))))))&((![X59:reg]:((((c @ X59 @ X57))=>((c @ X59 @ Z0))))))))))))))&(((((c @ X22 @ Z1))&(~((?[X60:reg]:((((![X61:reg]:((((c @ X61 @ X60))=>((c @ X61 @ X22))))))&((![X62:reg]:((((c @ X62 @ X60))=>((c @ X62 @ Z1))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_66, c_0_28]), c_0_29])). 0.31/1.00 thf(c_0_69, negated_conjecture, ((c @ catalunya @ (esk9_1 @ esk4_0))|(c @ (esk6_1 @ esk5_0) @ esk5_0)), inference(spm,[status(thm)],[c_0_49, c_0_67])). 0.31/1.00 thf(c_0_70, plain, ![X95:$i, X94:$i]:((~(a @ X95 @ X94)|((![X85:reg]:(((c @ X85 @ catalunya)=>(c @ X85 @ spain)))&~(![X86:reg]:(((c @ X86 @ spain)=>(c @ X86 @ catalunya)))))&?[X87:reg]:((((c @ X87 @ catalunya)&~(?[X88:reg]:((![X89:reg]:(((c @ X89 @ X88)=>(c @ X89 @ X87)))&![X90:reg]:(((c @ X90 @ X88)=>(c @ X90 @ catalunya)))))))&((c @ X87 @ spain)&~(?[X91:reg]:((![X92:reg]:(((c @ X92 @ X91)=>(c @ X92 @ X87)))&![X93:reg]:(((c @ X93 @ X91)=>(c @ X93 @ 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_68]), c_0_16]), c_0_17])])). 0.31/1.00 thf(c_0_71, negated_conjecture, ((c @ (esk6_1 @ esk5_0) @ esk3_0)|(c @ (esk9_1 @ esk4_0) @ catalunya)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_69]), c_0_24])). 0.31/1.00 thf(c_0_72, negated_conjecture, ((c @ catalunya @ (esk9_1 @ esk4_0))|~((c @ (esk6_1 @ esk5_0) @ esk3_0))), inference(spm,[status(thm)],[c_0_51, c_0_67])). 0.31/1.00 thf(c_0_73, plain, ![X139:$i, X140:$i, X141:reg, X144:reg, X147:reg]:((((~(c @ X141 @ catalunya)|(c @ X141 @ spain)|~(a @ X139 @ X140))&(((c @ esk10_0 @ spain)|~(a @ X139 @ X140))&(~(c @ esk10_0 @ catalunya)|~(a @ X139 @ X140))))&((((c @ esk11_0 @ catalunya)|~(a @ X139 @ X140))&((((c @ (esk13_1 @ X144) @ X144)|(c @ (esk12_1 @ X144) @ X144)|~(a @ X139 @ X140))&(~(c @ (esk13_1 @ X144) @ catalunya)|(c @ (esk12_1 @ X144) @ X144)|~(a @ X139 @ X140)))&(((c @ (esk13_1 @ X144) @ X144)|~(c @ (esk12_1 @ X144) @ esk11_0)|~(a @ X139 @ X140))&(~(c @ (esk13_1 @ X144) @ catalunya)|~(c @ (esk12_1 @ X144) @ esk11_0)|~(a @ X139 @ X140)))))&(((c @ esk11_0 @ spain)|~(a @ X139 @ X140))&((((c @ (esk15_1 @ X147) @ X147)|(c @ (esk14_1 @ X147) @ X147)|~(a @ X139 @ X140))&(~(c @ (esk15_1 @ X147) @ spain)|(c @ (esk14_1 @ X147) @ X147)|~(a @ X139 @ X140)))&(((c @ (esk15_1 @ X147) @ X147)|~(c @ (esk14_1 @ X147) @ esk11_0)|~(a @ X139 @ X140))&(~(c @ (esk15_1 @ X147) @ spain)|~(c @ (esk14_1 @ X147) @ esk11_0)|~(a @ X139 @ X140)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])])])])])). 0.31/1.00 thf(c_0_74, negated_conjecture, (c @ catalunya @ (esk9_1 @ esk4_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_71]), c_0_72])). 0.31/1.00 thf(c_0_75, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ X18 @ spain)|~((c @ X18 @ catalunya))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_73])). 0.31/1.00 thf(c_0_76, negated_conjecture, (c @ (esk9_1 @ esk4_0) @ catalunya), inference(spm,[status(thm)],[c_0_24, c_0_74])). 0.31/1.00 thf(c_0_77, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk9_1 @ esk4_0) @ spain)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_75, c_0_76])). 0.31/1.00 thf(c_0_78, negated_conjecture, ![X18:reg]:(((c @ (esk8_1 @ X18) @ X18)|~((c @ (esk9_1 @ X18) @ spain)))), inference(split_conjunct,[status(thm)],[c_0_21])). 0.31/1.00 thf(c_0_79, negated_conjecture, (c @ (esk9_1 @ esk4_0) @ spain), inference(spm,[status(thm)],[c_0_77, c_0_48])). 0.31/1.00 thf(c_0_80, negated_conjecture, ![X18:reg]:((~((c @ (esk9_1 @ X18) @ spain))|~((c @ (esk8_1 @ X18) @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_21])). 0.31/1.00 thf(c_0_81, negated_conjecture, (c @ (esk8_1 @ esk4_0) @ esk4_0), inference(spm,[status(thm)],[c_0_78, c_0_79])). 0.31/1.00 thf(c_0_82, negated_conjecture, ~((c @ (esk8_1 @ esk4_0) @ esk3_0)), inference(spm,[status(thm)],[c_0_80, c_0_79])). 0.31/1.00 thf(c_0_83, negated_conjecture, ![X18:reg]:(((c @ X18 @ esk3_0)|~((c @ X18 @ esk5_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_81]), c_0_82])). 0.31/1.00 thf(c_0_84, negated_conjecture, (c @ esk5_0 @ (esk7_1 @ esk5_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_37]), c_0_38])). 0.31/1.00 thf(c_0_85, negated_conjecture, ![X18:reg]:(((c @ X18 @ paris)|~((c @ X18 @ esk5_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_81]), c_0_82])). 0.31/1.00 thf(c_0_86, negated_conjecture, (c @ (esk7_1 @ esk5_0) @ esk5_0), inference(spm,[status(thm)],[c_0_24, c_0_84])). 0.31/1.00 thf(c_0_87, negated_conjecture, (c @ (esk7_1 @ esk5_0) @ paris), inference(spm,[status(thm)],[c_0_85, c_0_86])). 0.31/1.00 thf(c_0_88, negated_conjecture, ![X3:$i, X14:$i]:(((c @ (esk7_1 @ esk5_0) @ france)|~((a @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_45, c_0_87])). 0.31/1.00 thf(c_0_89, negated_conjecture, (c @ (esk7_1 @ esk5_0) @ france), inference(spm,[status(thm)],[c_0_88, c_0_48])). 0.31/1.00 thf(c_0_90, negated_conjecture, (c @ (esk6_1 @ esk5_0) @ esk5_0), inference(spm,[status(thm)],[c_0_49, c_0_89])). 0.31/1.00 thf(c_0_91, negated_conjecture, ~((c @ (esk6_1 @ esk5_0) @ esk3_0)), inference(spm,[status(thm)],[c_0_51, c_0_89])). 0.31/1.00 thf(c_0_92, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_90]), c_0_91]), ['proof']). 0.31/1.00 % SZS output end CNFRefutation 0.31/1.00 % Parsed axioms : 98 0.31/1.00 % Removed by relevancy pruning/SinE : 77 0.31/1.00 % Initial clauses : 46 0.31/1.00 % Removed in clause preprocessing : 0 0.31/1.00 % Initial clauses in saturation : 46 0.31/1.00 % Processed clauses : 2297 0.31/1.00 % ...of these trivial : 17 0.31/1.00 % ...subsumed : 450 0.31/1.00 % ...remaining for further processing : 1829 0.31/1.00 % Other redundant clauses eliminated : 0 0.31/1.00 % Clauses deleted for lack of memory : 0 0.31/1.00 % Backward-subsumed : 768 0.31/1.00 % Backward-rewritten : 678 0.31/1.00 % Generated clauses : 12188 0.31/1.00 % ...of the previous two non-redundant : 11990 0.31/1.00 % ...aggressively subsumed : 0 0.31/1.00 % Contextual simplify-reflections : 67 0.31/1.00 % Paramodulations : 12182 0.31/1.00 % Factorizations : 6 0.31/1.00 % NegExts : 0 0.31/1.00 % Equation resolutions : 0 0.31/1.00 % Disequality decompositions : 0 0.31/1.00 % Total rewrite steps : 897 0.31/1.00 % ...of those cached : 799 0.31/1.00 % Propositional unsat checks : 0 0.31/1.00 % Propositional check models : 0 0.31/1.00 % Propositional check unsatisfiable : 0 0.31/1.00 % Propositional clauses : 0 0.31/1.00 % Propositional clauses after purity: 0 0.31/1.00 % Propositional unsat core size : 0 0.31/1.00 % Propositional preprocessing time : 0.000 0.31/1.00 % Propositional encoding time : 0.000 0.31/1.00 % Propositional solver time : 0.000 0.31/1.00 % Success case prop preproc time : 0.000 0.31/1.00 % Success case prop encoding time : 0.000 0.31/1.00 % Success case prop solver time : 0.000 0.31/1.00 % Current number of processed clauses : 383 0.31/1.00 % Positive orientable unit clauses : 117 0.31/1.00 % Positive unorientable unit clauses: 0 0.31/1.00 % Negative unit clauses : 6 0.31/1.00 % Non-unit-clauses : 260 0.31/1.00 % Current number of unprocessed clauses: 8646 0.31/1.00 % ...number of literals in the above : 40577 0.31/1.00 % Current number of archived formulas : 0 0.31/1.00 % Current number of archived clauses : 1446 0.31/1.00 % Clause-clause subsumption calls (NU) : 268375 0.31/1.00 % Rec. Clause-clause subsumption calls : 115786 0.31/1.00 % Non-unit clause-clause subsumptions : 975 0.31/1.00 % Unit Clause-clause subsumption calls : 10151 0.31/1.00 % Rewrite failures with RHS unbound : 0 0.31/1.00 % BW rewrite match attempts : 67 0.31/1.00 % BW rewrite match successes : 65 0.31/1.00 % Condensation attempts : 0 0.31/1.00 % Condensation successes : 0 0.31/1.00 % Termbank termtop insertions : 209479 0.31/1.00 % Search garbage collected termcells : 2036 0.31/1.00 0.31/1.00 % ------------------------------------------------- 0.31/1.00 % User time : 0.409 s 0.31/1.00 % System time : 0.015 s 0.31/1.00 % Total time : 0.424 s 0.31/1.00 % Maximum resident set size: 3992 pages 0.31/1.00 0.31/1.00 % ------------------------------------------------- 0.31/1.00 % User time : 0.412 s 0.31/1.00 % System time : 0.022 s 0.31/1.00 % Total time : 0.435 s 0.31/1.00 % Maximum resident set size: 4608 pages 0.31/1.00 % E exiting 0.31/1.00 EOF