0.00/0.01	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.02	% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.04/0.30	% Computer : n024.cluster.edu
0.04/0.30	% Model    : x86_64 x86_64
0.04/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.04/0.30	% Memory   : 8046.5625MB
0.04/0.30	% OS       : Linux 6.8.0-71-generic
0.04/0.30	% CPULimit : 1440
0.04/0.30	% WCLimit  : 180
0.04/0.30	% DateTime : Mon Jul 27 07:43:00 UTC 2026
0.04/0.30	% CPUTime  : 
0.04/0.30	Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM
0.04/0.32	Running higher-order theorem proving
0.07/0.33	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.hIPhL9EjJZ/E---3.1_3012367.p
421.43/61.18	% Version: 3.5.1-ho
421.43/61.18	% Preprocessing class: HSMSSMSSMLLNHSN.
421.43/61.18	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
421.43/61.18	% Starting new_ho_10_cnf2 with 900s (5) cores
421.43/61.18	% Starting post_as_ho3 with 180s (1) cores
421.43/61.18	% Starting new_ho_12 with 180s (1) cores
421.43/61.18	% Starting new_bool_2 with 180s (1) cores
421.43/61.18	% new_bool_2 with pid 3012383 completed with status 0
421.43/61.18	% Result found by new_bool_2
421.43/61.18	% Preprocessing class: HSMSSMSSMLLNHSN.
421.43/61.18	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
421.43/61.18	% Starting new_ho_10_cnf2 with 900s (5) cores
421.43/61.18	% Starting post_as_ho3 with 180s (1) cores
421.43/61.18	% Starting new_ho_12 with 180s (1) cores
421.43/61.18	% Starting new_bool_2 with 180s (1) cores
421.43/61.18	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
421.43/61.18	% SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
421.43/61.18	% Search class: HGHNF-FFMF32-SHSSMSBN
421.43/61.18	% partial match(2): HGHNF-FFMF21-SHSSMSBN
421.43/61.18	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
421.43/61.18	% Starting SubtermCWHack with 17s (1) cores
421.43/61.18	% SubtermCWHack with pid 3012387 completed with status 8
421.43/61.18	% Starting new_bool_2 with 19s (1) cores
421.43/61.18	% new_bool_2 with pid 3012424 completed with status 8
421.43/61.18	% Starting post_as_ho11 with 17s (1) cores
421.43/61.18	% post_as_ho11 with pid 3012427 completed with status 8
421.43/61.18	% Starting pre_casc_8 with 17s (1) cores
421.43/61.18	% pre_casc_8 with pid 3012429 completed with status 0
421.43/61.18	% Result found by pre_casc_8
421.43/61.18	% Preprocessing class: HSMSSMSSMLLNHSN.
421.43/61.18	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
421.43/61.18	% Starting new_ho_10_cnf2 with 900s (5) cores
421.43/61.18	% Starting post_as_ho3 with 180s (1) cores
421.43/61.18	% Starting new_ho_12 with 180s (1) cores
421.43/61.18	% Starting new_bool_2 with 180s (1) cores
421.43/61.18	% (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
421.43/61.18	% SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
421.43/61.18	% Search class: HGHNF-FFMF32-SHSSMSBN
421.43/61.18	% partial match(2): HGHNF-FFMF21-SHSSMSBN
421.43/61.18	% Scheduled 7 strats onto 1 cores with 180 seconds (180 total)
421.43/61.18	% Starting SubtermCWHack with 17s (1) cores
421.43/61.18	% SubtermCWHack with pid 3012387 completed with status 8
421.43/61.18	% Starting new_bool_2 with 19s (1) cores
421.43/61.18	% new_bool_2 with pid 3012424 completed with status 8
421.43/61.18	% Starting post_as_ho11 with 17s (1) cores
421.43/61.18	% post_as_ho11 with pid 3012427 completed with status 8
421.43/61.18	% Starting pre_casc_8 with 17s (1) cores
421.43/61.18	% Preprocessing time       : 0.002 s
421.43/61.18	% Presaturation interreduction done
421.43/61.18	
421.43/61.18	% Proof found!
421.43/61.18	% SZS status Theorem
421.43/61.18	% SZS output start CNFRefutation
421.43/61.18	thf(decl_sort1, type, reg: $tType).
421.43/61.18	thf(decl_25, type, mnot: ($i > $o) > $i > $o).
421.43/61.18	thf(decl_26, type, mor: ($i > $o) > ($i > $o) > $i > $o).
421.43/61.18	thf(decl_28, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
421.43/61.18	thf(decl_33, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
421.43/61.18	thf(decl_38, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
421.43/61.18	thf(decl_50, type, mvalid: ($i > $o) > $o).
421.43/61.18	thf(decl_54, type, c: reg > reg > $o).
421.43/61.18	thf(decl_56, type, p: reg > reg > $o).
421.43/61.18	thf(decl_57, type, eq: reg > reg > $o).
421.43/61.18	thf(decl_58, type, o: reg > reg > $o).
421.43/61.18	thf(decl_60, type, ec: reg > reg > $o).
421.43/61.18	thf(decl_65, type, france: reg).
421.43/61.18	thf(decl_66, type, spain: reg).
421.43/61.18	thf(decl_68, type, a: $i > $i > $o).
421.43/61.18	thf(decl_69, type, fool: $i > $i > $o).
421.43/61.18	thf(decl_70, type, esk1_0: $i).
421.43/61.18	thf(decl_71, type, esk2_0: $i).
421.43/61.18	thf(decl_72, type, esk3_3: reg > reg > reg > reg).
421.43/61.18	thf(decl_73, type, esk4_3: reg > reg > reg > reg).
421.43/61.18	thf(decl_74, type, esk5_3: reg > reg > reg > reg).
421.43/61.18	thf(decl_75, type, esk6_3: reg > reg > reg > reg).
421.43/61.18	thf(decl_76, type, esk7_1: reg > reg).
421.43/61.18	thf(decl_77, type, esk8_1: reg > reg).
421.43/61.18	thf(decl_78, type, esk9_2: $i > ($i > $o) > $i).
421.43/61.18	thf(decl_79, type, esk10_2: $i > ($i > $o) > $i).
421.43/61.18	thf(decl_80, type, esk11_2: $i > ($i > $o) > $i).
421.43/61.18	thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:((((p @ X22 @ X25))&((p @ X22 @ X26))))))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', o)).
421.43/61.18	thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:((((c @ X22 @ X20))=>((c @ X22 @ X21))))))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', p)).
421.43/61.18	thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', mimplies)).
421.43/61.18	thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', mnot)).
421.43/61.18	thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:((((X6 @ X3))|((X7 @ X3)))))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', mor)).
421.43/61.18	thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:((((c @ X29 @ X30))&(~((o @ X29 @ X30))))))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', ec)).
421.43/61.18	thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', mforall_prop)).
421.43/61.18	thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:(((~((X13 @ X3 @ X14)))|((X6 @ X14))))))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', mbox)).
421.43/61.18	thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', mvalid)).
421.43/61.18	thf(eq, axiom, ((eq)=(^[X23:reg, X24:reg]:((((p @ X23 @ X24))&((p @ X24 @ X23)))))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', eq)).
421.43/61.18	thf(t_axiom_for_fool, axiom, (mvalid @ (mforall_prop @ (^[X44:$i > $o]:(mimplies @ (mbox @ fool @ X44) @ X44)))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', t_axiom_for_fool)).
421.43/61.18	thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X42:$i]:(?[X22:reg, X43:reg]:((((((o @ X22 @ france))&((o @ X22 @ france))))&(~((eq @ X22 @ X43))))))))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', con)).
421.43/61.18	thf(ax2, axiom, (mvalid @ (mbox @ fool @ (^[X41:$i]:((ec @ spain @ france))))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', ax2)).
421.43/61.18	thf(c_symmetric, axiom, ![X37:reg, X38:reg]:(((c @ X38 @ X37)<=(c @ X37 @ X38))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', c_symmetric)).
421.43/61.18	thf(i_axiom_for_fool_a, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mbox @ fool @ X6) @ (mbox @ a @ X6))))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', i_axiom_for_fool_a)).
421.43/61.18	thf(k_axiom_for_fool, axiom, (mvalid @ (mforall_prop @ (^[X44:$i > $o]:(mimplies @ (mbox @ fool @ X44) @ (mbox @ fool @ (mbox @ fool @ X44)))))), file('/export/starexec/sandbox/tmp/tmp.hIPhL9EjJZ/E---3.1_3012367.p', k_axiom_for_fool)).
421.43/61.18	thf(c_0_16, plain, ((o)=(^[Z0:reg, Z1:reg]:(?[X22:reg]:((((![X51:reg]:((((c @ X51 @ X22))=>((c @ X51 @ Z0))))))&((![X52:reg]:((((c @ X52 @ X22))=>((c @ X52 @ Z1))))))))))), inference(fof_simplification,[status(thm)],[o])).
421.43/61.18	thf(c_0_17, plain, ((p)=(^[Z0:reg, Z1:reg]:(![X22:reg]:((((c @ X22 @ Z0))=>((c @ X22 @ Z1))))))), inference(fof_simplification,[status(thm)],[p])).
421.43/61.18	thf(c_0_18, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mimplies])).
421.43/61.18	thf(c_0_19, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])).
421.43/61.18	thf(c_0_20, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mor])).
421.43/61.18	thf(c_0_21, plain, ((ec)=(^[Z0:reg, Z1:reg]:((((c @ Z0 @ Z1))&(~((?[X53:reg]:((((![X54:reg]:((((c @ X54 @ X53))=>((c @ X54 @ Z0))))))&((![X55:reg]:((((c @ X55 @ X53))=>((c @ X55 @ Z1))))))))))))))), inference(fof_simplification,[status(thm)],[ec])).
421.43/61.18	thf(c_0_22, plain, ((o)=(^[Z0:reg, Z1:reg]:(?[X22:reg]:((((![X51:reg]:((((c @ X51 @ X22))=>((c @ X51 @ Z0))))))&((![X52:reg]:((((c @ X52 @ X22))=>((c @ X52 @ Z1))))))))))), inference(apply_def,[status(thm)],[c_0_16, c_0_17])).
421.43/61.18	thf(c_0_23, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18, c_0_19]), c_0_20])).
421.43/61.18	thf(c_0_24, plain, ((mforall_prop)=(^[Z0:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])).
421.43/61.18	thf(c_0_25, plain, ((mbox)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:(((~((Z0 @ Z2 @ X14)))|((Z1 @ X14))))))), inference(fof_simplification,[status(thm)],[mbox])).
421.43/61.18	thf(c_0_26, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])).
421.43/61.18	thf(c_0_27, plain, ((eq)=(^[Z0:reg, Z1:reg]:((((![X49:reg]:((((c @ X49 @ Z0))=>((c @ X49 @ Z1))))))&((![X50:reg]:((((c @ X50 @ Z1))=>((c @ X50 @ Z0)))))))))), inference(fof_simplification,[status(thm)],[eq])).
421.43/61.18	thf(c_0_28, plain, ((ec)=(^[Z0:reg, Z1:reg]:((((c @ Z0 @ Z1))&(~((?[X53:reg]:((((![X54:reg]:((((c @ X54 @ X53))=>((c @ X54 @ Z0))))))&((![X55:reg]:((((c @ X55 @ X53))=>((c @ X55 @ Z1))))))))))))))), inference(apply_def,[status(thm)],[c_0_21, c_0_22])).
421.43/61.18	thf(c_0_29, plain, ![X77:$i, X76:$i > $o]:((~(![X75:$i]:((~(fool @ X77 @ X75)|(X76 @ X75))))|(X76 @ X77))), 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)],[t_axiom_for_fool]), c_0_23]), c_0_24]), c_0_25]), c_0_26])])).
421.43/61.18	thf(c_0_30, negated_conjecture, ~((mvalid @ (mbox @ a @ (^[X42:$i]:(?[X22:reg, X43:reg]:((((((o @ X22 @ france))&((o @ X22 @ france))))&(~((eq @ X22 @ X43)))))))))), inference(assume_negation,[status(cth)],[con])).
421.43/61.18	thf(c_0_31, plain, ((eq)=(^[Z0:reg, Z1:reg]:((((![X49:reg]:((((c @ X49 @ Z0))=>((c @ X49 @ Z1))))))&((![X50:reg]:((((c @ X50 @ Z1))=>((c @ X50 @ Z0)))))))))), inference(apply_def,[status(thm)],[c_0_27, c_0_17])).
421.43/61.18	thf(c_0_32, plain, ![X70:$i, X69:$i]:((~(fool @ X70 @ X69)|((c @ spain @ france)&~(?[X66:reg]:((![X67:reg]:(((c @ X67 @ X66)=>(c @ X67 @ spain)))&![X68:reg]:(((c @ X68 @ X66)=>(c @ X68 @ france))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax2]), c_0_28]), c_0_25]), c_0_26])])).
421.43/61.18	thf(c_0_33, plain, ![X107:$i, X108:$i > $o]:((((fool @ X107 @ (esk10_2 @ X107 @ X108))|(X108 @ X107))&(~(X108 @ (esk10_2 @ X107 @ X108))|(X108 @ X107)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])).
421.43/61.18	thf(c_0_34, negated_conjecture, ~(![X65:$i, X64:$i]:((~(a @ X65 @ X64)|?[X22:reg, X43:reg]:(((?[X56:reg]:((![X57:reg]:(((c @ X57 @ X56)=>(c @ X57 @ X22)))&![X58:reg]:(((c @ X58 @ X56)=>(c @ X58 @ france)))))&?[X59:reg]:((![X60:reg]:(((c @ X60 @ X59)=>(c @ X60 @ X22)))&![X61:reg]:(((c @ X61 @ X59)=>(c @ X61 @ france))))))&~((![X62:reg]:(((c @ X62 @ X22)=>(c @ X62 @ X43)))&![X63:reg]:(((c @ X63 @ X43)=>(c @ X63 @ X22)))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_30]), c_0_22]), c_0_31]), c_0_25]), c_0_26])])).
421.43/61.18	thf(c_0_35, plain, ![X95:$i, X96:$i, X97:reg]:((((c @ spain @ france)|~(fool @ X95 @ X96))&((((c @ (esk8_1 @ X97) @ X97)|(c @ (esk7_1 @ X97) @ X97)|~(fool @ X95 @ X96))&(~(c @ (esk8_1 @ X97) @ france)|(c @ (esk7_1 @ X97) @ X97)|~(fool @ X95 @ X96)))&(((c @ (esk8_1 @ X97) @ X97)|~(c @ (esk7_1 @ X97) @ spain)|~(fool @ X95 @ X96))&(~(c @ (esk8_1 @ X97) @ france)|~(c @ (esk7_1 @ X97) @ spain)|~(fool @ X95 @ X96)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])])])])).
421.43/61.18	thf(c_0_36, plain, ![X3:$i, X4:$i > $o]:(((X4 @ X3)|~((X4 @ (esk10_2 @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_33])).
421.43/61.18	thf(c_0_37, plain, ![X4:$i > $o, X3:$i]:(((fool @ X3 @ (esk10_2 @ X3 @ X4))|(X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_33])).
421.43/61.18	thf(c_0_38, plain, ![X37:reg, X38:reg]:(((c @ X37 @ X38)=>(c @ X38 @ X37))), inference(fof_simplification,[status(thm)],[c_symmetric])).
421.43/61.18	thf(c_0_39, negated_conjecture, ![X85:reg, X86:reg, X87:reg, X90:reg, X93:reg, X94:reg]:(((a @ esk1_0 @ esk2_0)&((((((~(c @ X93 @ X85)|(c @ X93 @ X86)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87)))))&((~(c @ X93 @ X85)|(c @ X93 @ X86)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87))))))&(((~(c @ X93 @ X85)|(c @ X93 @ X86)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87)))))&((~(c @ X93 @ X85)|(c @ X93 @ X86)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87)))))))&((((~(c @ X93 @ X85)|(c @ X93 @ X86)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87)))))&((~(c @ X93 @ X85)|(c @ X93 @ X86)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87))))))&(((~(c @ X93 @ X85)|(c @ X93 @ X86)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87)))))&((~(c @ X93 @ X85)|(c @ X93 @ X86)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|(c @ (esk3_3 @ X85 @ X86 @ X87) @ X87))))))))&(((((~(c @ X93 @ X85)|(c @ X93 @ X86)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85)))))&((~(c @ X93 @ X85)|(c @ X93 @ X86)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85))))))&(((~(c @ X93 @ X85)|(c @ X93 @ X86)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85)))))&((~(c @ X93 @ X85)|(c @ X93 @ X86)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|((c @ (esk4_3 @ X85 @ X86 @ X87) @ X87)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85)))))))&((((~(c @ X93 @ X85)|(c @ X93 @ X86)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85)))))&((~(c @ X93 @ X85)|(c @ X93 @ X86)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|(c @ (esk5_3 @ X85 @ X86 @ X90) @ X90)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85))))))&(((~(c @ X93 @ X85)|(c @ X93 @ X86)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|((c @ (esk6_3 @ X85 @ X86 @ X90) @ X90)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85)))))&((~(c @ X93 @ X85)|(c @ X93 @ X86)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85))))&(~(c @ X94 @ X86)|(c @ X94 @ X85)|(~(c @ (esk6_3 @ X85 @ X86 @ X90) @ france)|~(c @ (esk5_3 @ X85 @ X86 @ X90) @ X85)|(~(c @ (esk4_3 @ X85 @ X86 @ X87) @ france)|~(c @ (esk3_3 @ X85 @ X86 @ X87) @ X85))))))))))), 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_34])])])])])).
421.43/61.18	thf(c_0_40, plain, ![X3:$i, X14:$i]:(((c @ spain @ france)|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_35])).
421.43/61.18	thf(c_0_41, plain, ![X3:$i]:((fool @ X3 @ X3)), inference(spm,[status(thm)],[c_0_36, c_0_37])).
421.43/61.18	thf(c_0_42, plain, ![X104:reg, X105:reg]:((~(c @ X104 @ X105)|(c @ X105 @ X104))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])).
421.43/61.18	thf(c_0_43, negated_conjecture, ![X18:reg, X20:reg, X22:reg, X21:reg, X19:reg]:(((c @ X18 @ X20)|(c @ (esk6_3 @ X19 @ X20 @ X21) @ X21)|(c @ (esk5_3 @ X19 @ X20 @ X21) @ X21)|(c @ (esk4_3 @ X19 @ X20 @ X22) @ X22)|(c @ (esk3_3 @ X19 @ X20 @ X22) @ X22)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_44, plain, (c @ spain @ france), inference(spm,[status(thm)],[c_0_40, c_0_41])).
421.43/61.18	thf(c_0_45, plain, ![X18:reg, X19:reg]:(((c @ X19 @ X18)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_42])).
421.43/61.18	thf(c_0_46, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ (esk4_3 @ france @ X18 @ X20) @ X20)|(c @ (esk3_3 @ france @ X18 @ X20) @ X20)|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
421.43/61.18	thf(c_0_47, negated_conjecture, ![X18:reg, X19:reg, X20:reg, X21:reg, X22:reg]:(((c @ X18 @ X20)|(c @ (esk6_3 @ X19 @ X20 @ X21) @ X21)|(c @ (esk5_3 @ X19 @ X20 @ X21) @ X21)|(c @ (esk3_3 @ X19 @ X20 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk4_3 @ X19 @ X20 @ X22) @ france)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_48, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk3_3 @ france @ X18 @ X19) @ X19)|(c @ (esk4_3 @ france @ X18 @ X19) @ X19)|(c @ (esk5_3 @ france @ X18 @ X20) @ X20)|(c @ X20 @ (esk6_3 @ france @ X18 @ X20))|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_45, c_0_46])).
421.43/61.18	thf(c_0_49, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ (esk3_3 @ france @ X18 @ X20) @ X20)|(c @ spain @ X18)|~((c @ (esk4_3 @ france @ X18 @ X20) @ france)))), inference(spm,[status(thm)],[c_0_47, c_0_44])).
421.43/61.18	thf(c_0_50, negated_conjecture, ![X18:reg, X20:reg, X19:reg]:(((c @ X18 @ (esk6_3 @ france @ X19 @ X18))|(c @ (esk4_3 @ france @ X19 @ X20) @ X20)|(c @ (esk3_3 @ france @ X19 @ X20) @ X20)|(c @ X18 @ (esk5_3 @ france @ X19 @ X18))|(c @ spain @ X19))), inference(spm,[status(thm)],[c_0_45, c_0_48])).
421.43/61.18	thf(c_0_51, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk3_3 @ france @ X18 @ france) @ france)|(c @ X19 @ (esk5_3 @ france @ X18 @ X19))|(c @ X19 @ (esk6_3 @ france @ X18 @ X19))|(c @ (esk5_3 @ france @ X18 @ X20) @ X20)|(c @ (esk6_3 @ france @ X18 @ X20) @ X20)|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_49, c_0_50])).
421.43/61.18	thf(c_0_52, negated_conjecture, ![X18:reg, X19:reg, X20:reg, X22:reg, X21:reg]:(((c @ X18 @ X20)|(c @ (esk5_3 @ X19 @ X20 @ X21) @ X21)|(c @ (esk4_3 @ X19 @ X20 @ X22) @ X22)|(c @ (esk3_3 @ X19 @ X20 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk6_3 @ X19 @ X20 @ X21) @ france)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_53, negated_conjecture, ![X20:reg, X19:reg, X18:reg]:(((c @ (esk3_3 @ france @ X18 @ france) @ france)|(c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ X20 @ (esk5_3 @ france @ X18 @ X20))|(c @ (esk6_3 @ france @ X18 @ X20) @ X20)|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_45, c_0_51])).
421.43/61.18	thf(c_0_54, negated_conjecture, ![X18:reg, X20:reg, X19:reg]:(((c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ (esk4_3 @ france @ X18 @ X20) @ X20)|(c @ (esk3_3 @ france @ X18 @ X20) @ X20)|(c @ spain @ X18)|~((c @ (esk6_3 @ france @ X18 @ X19) @ france)))), inference(spm,[status(thm)],[c_0_52, c_0_44])).
421.43/61.18	thf(c_0_55, negated_conjecture, ![X19:reg, X18:reg]:(((c @ (esk3_3 @ france @ X18 @ france) @ france)|(c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18))), inference(csr,[status(thm)],[inference(ef,[status(thm)],[c_0_53]), c_0_45])).
421.43/61.18	thf(c_0_56, negated_conjecture, ![X18:reg, X19:reg, X20:reg, X21:reg, X22:reg]:(((c @ X18 @ X20)|(c @ (esk5_3 @ X19 @ X20 @ X21) @ X21)|(c @ (esk3_3 @ X19 @ X20 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk6_3 @ X19 @ X20 @ X21) @ france))|~((c @ (esk4_3 @ X19 @ X20 @ X22) @ france)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_57, negated_conjecture, ![X19:reg, X18:reg]:(((c @ (esk3_3 @ france @ X18 @ france) @ france)|(c @ (esk5_3 @ france @ X18 @ france) @ france)|(c @ (esk3_3 @ france @ X18 @ X19) @ X19)|(c @ (esk4_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_54, c_0_55])).
421.43/61.18	thf(c_0_58, negated_conjecture, ![X18:reg, X20:reg, X19:reg]:(((c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ (esk3_3 @ france @ X18 @ X20) @ X20)|(c @ spain @ X18)|~((c @ (esk4_3 @ france @ X18 @ X20) @ france))|~((c @ (esk6_3 @ france @ X18 @ X19) @ france)))), inference(spm,[status(thm)],[c_0_56, c_0_44])).
421.43/61.18	thf(c_0_59, negated_conjecture, ![X19:reg, X18:reg]:(((c @ (esk3_3 @ france @ X18 @ france) @ france)|(c @ france @ (esk5_3 @ france @ X18 @ france))|(c @ (esk4_3 @ france @ X18 @ X19) @ X19)|(c @ (esk3_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_45, c_0_57])).
421.43/61.18	thf(c_0_60, negated_conjecture, ![X18:reg, X20:reg, X22:reg, X21:reg, X19:reg]:(((c @ X18 @ X20)|(c @ (esk6_3 @ X19 @ X20 @ X21) @ X21)|(c @ (esk5_3 @ X19 @ X20 @ X21) @ X21)|(c @ (esk4_3 @ X19 @ X20 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk3_3 @ X19 @ X20 @ X22) @ X19)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_61, negated_conjecture, ![X18:reg, X19:reg]:(((c @ france @ (esk5_3 @ france @ X18 @ france))|(c @ (esk3_3 @ france @ X18 @ france) @ france)|(c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18)|~((c @ (esk6_3 @ france @ X18 @ X19) @ france)))), inference(spm,[status(thm)],[c_0_58, c_0_59])).
421.43/61.18	thf(c_0_62, negated_conjecture, ![X18:reg, X20:reg, X22:reg, X21:reg, X19:reg]:(((c @ X18 @ X20)|(c @ (esk5_3 @ X19 @ X20 @ X21) @ X21)|(c @ (esk4_3 @ X19 @ X20 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk6_3 @ X19 @ X20 @ X21) @ france))|~((c @ (esk3_3 @ X19 @ X20 @ X22) @ X19)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_63, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ (esk4_3 @ france @ X18 @ X20) @ X20)|(c @ spain @ X18)|~((c @ (esk3_3 @ france @ X18 @ X20) @ france)))), inference(spm,[status(thm)],[c_0_60, c_0_44])).
421.43/61.18	thf(c_0_64, negated_conjecture, ![X18:reg]:(((c @ (esk3_3 @ france @ X18 @ france) @ france)|(c @ france @ (esk5_3 @ france @ X18 @ france))|(c @ spain @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_55]), c_0_45])).
421.43/61.18	thf(c_0_65, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ (esk4_3 @ france @ X18 @ X20) @ X20)|(c @ spain @ X18)|~((c @ (esk6_3 @ france @ X18 @ X19) @ france))|~((c @ (esk3_3 @ france @ X18 @ X20) @ france)))), inference(spm,[status(thm)],[c_0_62, c_0_44])).
421.43/61.18	thf(c_0_66, negated_conjecture, ![X19:reg, X18:reg]:(((c @ france @ (esk5_3 @ france @ X18 @ france))|(c @ (esk4_3 @ france @ X18 @ france) @ france)|(c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_63, c_0_64])).
421.43/61.18	thf(c_0_67, negated_conjecture, ![X18:reg, X19:reg]:(((c @ (esk4_3 @ france @ X18 @ france) @ france)|(c @ (esk5_3 @ france @ X18 @ france) @ france)|(c @ (esk4_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18)|~((c @ (esk3_3 @ france @ X18 @ X19) @ france)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_45])).
421.43/61.18	thf(c_0_68, negated_conjecture, ![X18:reg, X20:reg, X22:reg, X21:reg, X19:reg]:(((c @ X18 @ X20)|(c @ (esk5_3 @ X19 @ X20 @ X21) @ X21)|~((c @ X18 @ X19))|~((c @ (esk6_3 @ X19 @ X20 @ X21) @ france))|~((c @ (esk4_3 @ X19 @ X20 @ X22) @ france))|~((c @ (esk3_3 @ X19 @ X20 @ X22) @ X19)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_69, negated_conjecture, ![X18:reg]:(((c @ (esk5_3 @ france @ X18 @ france) @ france)|(c @ (esk4_3 @ france @ X18 @ france) @ france)|(c @ spain @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_64]), c_0_45])).
421.43/61.18	thf(c_0_70, negated_conjecture, ![X18:reg, X20:reg, X22:reg, X21:reg, X19:reg]:(((c @ X18 @ X20)|(c @ (esk6_3 @ X19 @ X20 @ X21) @ X21)|(c @ (esk5_3 @ X19 @ X20 @ X21) @ X21)|~((c @ X18 @ X19))|~((c @ (esk4_3 @ X19 @ X20 @ X22) @ france))|~((c @ (esk3_3 @ X19 @ X20 @ X22) @ X19)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_71, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18)|~((c @ (esk4_3 @ france @ X18 @ X20) @ france))|~((c @ (esk6_3 @ france @ X18 @ X19) @ france))|~((c @ (esk3_3 @ france @ X18 @ X20) @ france)))), inference(spm,[status(thm)],[c_0_68, c_0_44])).
421.43/61.18	thf(c_0_72, negated_conjecture, ![X18:reg]:(((c @ (esk4_3 @ france @ X18 @ france) @ france)|(c @ france @ (esk5_3 @ france @ X18 @ france))|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_45, c_0_69])).
421.43/61.18	thf(c_0_73, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18)|~((c @ (esk4_3 @ france @ X18 @ X20) @ france))|~((c @ (esk3_3 @ france @ X18 @ X20) @ france)))), inference(spm,[status(thm)],[c_0_70, c_0_44])).
421.43/61.18	thf(c_0_74, negated_conjecture, ![X18:reg, X19:reg]:(((c @ france @ (esk5_3 @ france @ X18 @ france))|(c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18)|~((c @ (esk6_3 @ france @ X18 @ X19) @ france)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_64])).
421.43/61.18	thf(c_0_75, negated_conjecture, ![X19:reg, X18:reg]:(((c @ france @ (esk5_3 @ france @ X18 @ france))|(c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_72]), c_0_64])).
421.43/61.18	thf(c_0_76, negated_conjecture, ![X18:reg, X22:reg, X21:reg, X20:reg, X19:reg]:(((c @ X18 @ X20)|(c @ (esk6_3 @ X19 @ X20 @ X21) @ X21)|(c @ (esk4_3 @ X19 @ X20 @ X22) @ X22)|(c @ (esk3_3 @ X19 @ X20 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk5_3 @ X19 @ X20 @ X21) @ X19)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_77, negated_conjecture, ![X18:reg]:(((c @ france @ (esk5_3 @ france @ X18 @ france))|(c @ spain @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_45])).
421.43/61.18	thf(c_0_78, negated_conjecture, ![X18:reg, X20:reg, X19:reg]:(((c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ (esk4_3 @ france @ X18 @ X20) @ X20)|(c @ (esk3_3 @ france @ X18 @ X20) @ X20)|(c @ spain @ X18)|~((c @ (esk5_3 @ france @ X18 @ X19) @ france)))), inference(spm,[status(thm)],[c_0_76, c_0_44])).
421.43/61.18	thf(c_0_79, negated_conjecture, ![X18:reg]:(((c @ (esk5_3 @ france @ X18 @ france) @ france)|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_45, c_0_77])).
421.43/61.18	thf(c_0_80, negated_conjecture, ![X18:reg, X19:reg, X20:reg, X21:reg, X22:reg]:(((c @ X18 @ X20)|(c @ (esk6_3 @ X19 @ X20 @ X21) @ X21)|(c @ (esk3_3 @ X19 @ X20 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk5_3 @ X19 @ X20 @ X21) @ X19))|~((c @ (esk4_3 @ X19 @ X20 @ X22) @ france)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_81, negated_conjecture, ![X19:reg, X18:reg]:(((c @ (esk6_3 @ france @ X18 @ france) @ france)|(c @ (esk3_3 @ france @ X18 @ X19) @ X19)|(c @ (esk4_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_78, c_0_79])).
421.43/61.18	thf(c_0_82, negated_conjecture, ![X18:reg, X20:reg, X19:reg]:(((c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ (esk3_3 @ france @ X18 @ X20) @ X20)|(c @ spain @ X18)|~((c @ (esk4_3 @ france @ X18 @ X20) @ france))|~((c @ (esk5_3 @ france @ X18 @ X19) @ france)))), inference(spm,[status(thm)],[c_0_80, c_0_44])).
421.43/61.18	thf(c_0_83, negated_conjecture, ![X19:reg, X18:reg]:(((c @ france @ (esk6_3 @ france @ X18 @ france))|(c @ (esk4_3 @ france @ X18 @ X19) @ X19)|(c @ (esk3_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_45, c_0_81])).
421.43/61.18	thf(c_0_84, negated_conjecture, ![X18:reg, X20:reg, X22:reg, X21:reg, X19:reg]:(((c @ X18 @ X20)|(c @ (esk6_3 @ X19 @ X20 @ X21) @ X21)|(c @ (esk4_3 @ X19 @ X20 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk5_3 @ X19 @ X20 @ X21) @ X19))|~((c @ (esk3_3 @ X19 @ X20 @ X22) @ X19)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_85, negated_conjecture, ![X18:reg, X19:reg]:(((c @ france @ (esk6_3 @ france @ X18 @ france))|(c @ (esk3_3 @ france @ X18 @ france) @ france)|(c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18)|~((c @ (esk5_3 @ france @ X18 @ X19) @ france)))), inference(spm,[status(thm)],[c_0_82, c_0_83])).
421.43/61.18	thf(c_0_86, negated_conjecture, ![X19:reg, X18:reg]:(((c @ (esk3_3 @ france @ X18 @ france) @ france)|(c @ (esk5_3 @ france @ X18 @ X19) @ X19)|(c @ X19 @ (esk6_3 @ france @ X18 @ X19))|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_45, c_0_55])).
421.43/61.18	thf(c_0_87, negated_conjecture, ![X18:reg, X20:reg, X19:reg]:(((c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ (esk4_3 @ france @ X18 @ X20) @ X20)|(c @ spain @ X18)|~((c @ (esk3_3 @ france @ X18 @ X20) @ france))|~((c @ (esk5_3 @ france @ X18 @ X19) @ france)))), inference(spm,[status(thm)],[c_0_84, c_0_44])).
421.43/61.18	thf(c_0_88, negated_conjecture, ![X18:reg]:(((c @ (esk3_3 @ france @ X18 @ france) @ france)|(c @ france @ (esk6_3 @ france @ X18 @ france))|(c @ spain @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85, c_0_86]), c_0_45])).
421.43/61.18	thf(c_0_89, negated_conjecture, ![X18:reg, X20:reg, X22:reg, X21:reg, X19:reg]:(((c @ X18 @ X20)|(c @ (esk6_3 @ X19 @ X20 @ X21) @ X21)|~((c @ X18 @ X19))|~((c @ (esk5_3 @ X19 @ X20 @ X21) @ X19))|~((c @ (esk4_3 @ X19 @ X20 @ X22) @ france))|~((c @ (esk3_3 @ X19 @ X20 @ X22) @ X19)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_90, negated_conjecture, ![X18:reg, X19:reg]:(((c @ france @ (esk6_3 @ france @ X18 @ france))|(c @ (esk4_3 @ france @ X18 @ france) @ france)|(c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18)|~((c @ (esk5_3 @ france @ X18 @ X19) @ france)))), inference(spm,[status(thm)],[c_0_87, c_0_88])).
421.43/61.18	thf(c_0_91, negated_conjecture, ![X18:reg, X20:reg, X19:reg]:(((c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18)|~((c @ (esk4_3 @ france @ X18 @ X20) @ france))|~((c @ (esk3_3 @ france @ X18 @ X20) @ france))|~((c @ (esk5_3 @ france @ X18 @ X19) @ france)))), inference(spm,[status(thm)],[c_0_89, c_0_44])).
421.43/61.18	thf(c_0_92, negated_conjecture, ![X18:reg]:(((c @ (esk4_3 @ france @ X18 @ france) @ france)|(c @ france @ (esk6_3 @ france @ X18 @ france))|(c @ spain @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_79]), c_0_45])).
421.43/61.18	thf(c_0_93, negated_conjecture, ![X18:reg, X19:reg]:(((c @ france @ (esk6_3 @ france @ X18 @ france))|(c @ (esk6_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18)|~((c @ (esk5_3 @ france @ X18 @ X19) @ france)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91, c_0_92]), c_0_88])).
421.43/61.18	thf(c_0_94, negated_conjecture, ![X18:reg, X22:reg, X21:reg, X20:reg, X19:reg]:(((c @ X18 @ X20)|(c @ (esk4_3 @ X19 @ X20 @ X22) @ X22)|(c @ (esk3_3 @ X19 @ X20 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk6_3 @ X19 @ X20 @ X21) @ france))|~((c @ (esk5_3 @ X19 @ X20 @ X21) @ X19)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_95, negated_conjecture, ![X18:reg]:(((c @ france @ (esk6_3 @ france @ X18 @ france))|(c @ spain @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93, c_0_79]), c_0_45])).
421.43/61.18	thf(c_0_96, negated_conjecture, ![X18:reg, X19:reg, X20:reg, X21:reg, X22:reg]:(((c @ X18 @ X20)|(c @ (esk3_3 @ X19 @ X20 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk6_3 @ X19 @ X20 @ X21) @ france))|~((c @ (esk5_3 @ X19 @ X20 @ X21) @ X19))|~((c @ (esk4_3 @ X19 @ X20 @ X22) @ france)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_97, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ (esk4_3 @ france @ X18 @ X19) @ X19)|(c @ (esk3_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18)|~((c @ (esk6_3 @ france @ X18 @ X20) @ france))|~((c @ (esk5_3 @ france @ X18 @ X20) @ france)))), inference(spm,[status(thm)],[c_0_94, c_0_44])).
421.43/61.18	thf(c_0_98, negated_conjecture, ![X18:reg]:(((c @ (esk6_3 @ france @ X18 @ france) @ france)|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_45, c_0_95])).
421.43/61.18	thf(c_0_99, plain, ![X74:$i, X73:$i > $o]:((~(![X71:$i]:((~(fool @ X74 @ X71)|(X73 @ X71))))|![X72:$i]:((~(a @ X74 @ X72)|(X73 @ X72))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[i_axiom_for_fool_a]), c_0_23]), c_0_24]), c_0_25]), c_0_26])])).
421.43/61.18	thf(c_0_100, negated_conjecture, ![X18:reg, X20:reg, X22:reg, X21:reg, X19:reg]:(((c @ X18 @ X20)|(c @ (esk4_3 @ X19 @ X20 @ X22) @ X22)|~((c @ X18 @ X19))|~((c @ (esk6_3 @ X19 @ X20 @ X21) @ france))|~((c @ (esk5_3 @ X19 @ X20 @ X21) @ X19))|~((c @ (esk3_3 @ X19 @ X20 @ X22) @ X19)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_101, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ (esk3_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18)|~((c @ (esk4_3 @ france @ X18 @ X19) @ france))|~((c @ (esk6_3 @ france @ X18 @ X20) @ france))|~((c @ (esk5_3 @ france @ X18 @ X20) @ france)))), inference(spm,[status(thm)],[c_0_96, c_0_44])).
421.43/61.18	thf(c_0_102, negated_conjecture, ![X19:reg, X18:reg]:(((c @ (esk3_3 @ france @ X18 @ X19) @ X19)|(c @ (esk4_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97, c_0_98]), c_0_79])).
421.43/61.18	thf(c_0_103, plain, ![X82:$i, X81:$i > $o]:((~(![X78:$i]:((~(fool @ X82 @ X78)|(X81 @ X78))))|![X80:$i]:((~(fool @ X82 @ X80)|![X79:$i]:((~(fool @ X80 @ X79)|(X81 @ X79))))))), 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)],[k_axiom_for_fool]), c_0_23]), c_0_24]), c_0_25]), c_0_26])])).
421.43/61.18	thf(c_0_104, plain, ![X100:$i, X101:$i > $o, X103:$i]:((((fool @ X100 @ (esk9_2 @ X100 @ X101))|(~(a @ X100 @ X103)|(X101 @ X103)))&(~(X101 @ (esk9_2 @ X100 @ X101))|(~(a @ X100 @ X103)|(X101 @ X103))))), 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_99])])])])])).
421.43/61.18	thf(c_0_105, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ (esk4_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18)|~((c @ (esk6_3 @ france @ X18 @ X20) @ france))|~((c @ (esk3_3 @ france @ X18 @ X19) @ france))|~((c @ (esk5_3 @ france @ X18 @ X20) @ france)))), inference(spm,[status(thm)],[c_0_100, c_0_44])).
421.43/61.18	thf(c_0_106, negated_conjecture, ![X18:reg, X19:reg]:(((c @ (esk3_3 @ france @ X18 @ france) @ france)|(c @ spain @ X18)|~((c @ (esk6_3 @ france @ X18 @ X19) @ france))|~((c @ (esk5_3 @ france @ X18 @ X19) @ france)))), inference(spm,[status(thm)],[c_0_101, c_0_102])).
421.43/61.18	thf(c_0_107, plain, ![X110:$i, X111:$i > $o, X113:$i, X114:$i]:((((fool @ X110 @ (esk11_2 @ X110 @ X111))|(~(fool @ X110 @ X113)|(~(fool @ X113 @ X114)|(X111 @ X114))))&(~(X111 @ (esk11_2 @ X110 @ X111))|(~(fool @ X110 @ X113)|(~(fool @ X113 @ X114)|(X111 @ X114)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])])])])).
421.43/61.18	thf(c_0_108, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((X4 @ X14)|~((X4 @ (esk9_2 @ X3 @ X4)))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_104])).
421.43/61.18	thf(c_0_109, negated_conjecture, (a @ esk1_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_110, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((fool @ X3 @ (esk9_2 @ X3 @ X4))|(X4 @ X14)|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_104])).
421.43/61.18	thf(c_0_111, negated_conjecture, ![X18:reg, X20:reg, X22:reg, X21:reg, X19:reg]:(((c @ X18 @ X20)|~((c @ X18 @ X19))|~((c @ (esk6_3 @ X19 @ X20 @ X21) @ france))|~((c @ (esk5_3 @ X19 @ X20 @ X21) @ X19))|~((c @ (esk4_3 @ X19 @ X20 @ X22) @ france))|~((c @ (esk3_3 @ X19 @ X20 @ X22) @ X19)))), inference(split_conjunct,[status(thm)],[c_0_39])).
421.43/61.18	thf(c_0_112, negated_conjecture, ![X18:reg, X19:reg]:(((c @ (esk4_3 @ france @ X18 @ X19) @ X19)|(c @ spain @ X18)|~((c @ (esk3_3 @ france @ X18 @ X19) @ france)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105, c_0_98]), c_0_79])).
421.43/61.18	thf(c_0_113, negated_conjecture, ![X18:reg]:(((c @ (esk3_3 @ france @ X18 @ france) @ france)|(c @ spain @ X18))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106, c_0_98]), c_0_79])).
421.43/61.18	thf(c_0_114, plain, ![X4:$i > $o, X3:$i, X14:$i, X15:$i]:(((fool @ X3 @ (esk11_2 @ X3 @ X4))|(X4 @ X15)|~((fool @ X3 @ X14))|~((fool @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_107])).
421.43/61.18	thf(c_0_115, negated_conjecture, ![X4:$i > $o]:(((X4 @ esk2_0)|~((X4 @ (esk9_2 @ esk1_0 @ X4))))), inference(spm,[status(thm)],[c_0_108, c_0_109])).
421.43/61.18	thf(c_0_116, negated_conjecture, ![X4:$i > $o]:(((fool @ esk1_0 @ (esk9_2 @ esk1_0 @ X4))|(X4 @ esk2_0))), inference(spm,[status(thm)],[c_0_110, c_0_109])).
421.43/61.18	thf(c_0_117, negated_conjecture, ![X18:reg, X19:reg, X20:reg]:(((c @ spain @ X18)|~((c @ (esk4_3 @ france @ X18 @ X19) @ france))|~((c @ (esk6_3 @ france @ X18 @ X20) @ france))|~((c @ (esk3_3 @ france @ X18 @ X19) @ france))|~((c @ (esk5_3 @ france @ X18 @ X20) @ france)))), inference(spm,[status(thm)],[c_0_111, c_0_44])).
421.43/61.18	thf(c_0_118, negated_conjecture, ![X18:reg]:(((c @ (esk4_3 @ france @ X18 @ france) @ france)|(c @ spain @ X18))), inference(spm,[status(thm)],[c_0_112, c_0_113])).
421.43/61.18	thf(c_0_119, plain, ![X5:$i > $o, X4:$i > $o, X3:$i, X14:$i]:(((fool @ X3 @ (esk11_2 @ X3 @ X4))|(X4 @ (esk10_2 @ X14 @ X5))|(X5 @ X14)|~((fool @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_114, c_0_37])).
421.43/61.18	thf(c_0_120, negated_conjecture, (fool @ esk1_0 @ esk2_0), inference(spm,[status(thm)],[c_0_115, c_0_116])).
421.43/61.18	thf(c_0_121, negated_conjecture, ![X18:reg, X19:reg]:(((c @ spain @ X18)|~((c @ (esk6_3 @ france @ X18 @ X19) @ france))|~((c @ (esk5_3 @ france @ X18 @ X19) @ france)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_118]), c_0_113])).
421.43/61.18	thf(c_0_122, negated_conjecture, ![X4:$i > $o, X5:$i > $o]:(((fool @ esk1_0 @ (esk11_2 @ esk1_0 @ X4))|(X4 @ (esk10_2 @ esk2_0 @ X5))|(X5 @ esk2_0))), inference(spm,[status(thm)],[c_0_119, c_0_120])).
421.43/61.18	thf(c_0_123, negated_conjecture, ![X18:reg]:((c @ spain @ X18)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121, c_0_98]), c_0_79])).
421.43/61.18	thf(c_0_124, negated_conjecture, ![X3:$i, X4:$i > $o, X5:$i > $o]:(((fool @ esk1_0 @ (esk11_2 @ esk1_0 @ (a @ X3)))|(fool @ X3 @ (esk9_2 @ X3 @ X4))|(X4 @ (esk10_2 @ esk2_0 @ X5))|(X5 @ esk2_0))), inference(spm,[status(thm)],[c_0_110, c_0_122])).
421.43/61.18	thf(c_0_125, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk8_1 @ X18) @ X18)|~((c @ (esk7_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_35])).
421.43/61.18	thf(c_0_126, negated_conjecture, ![X18:reg]:((c @ X18 @ spain)), inference(spm,[status(thm)],[c_0_45, c_0_123])).
421.43/61.18	thf(c_0_127, negated_conjecture, ![X3:$i, X5:$i > $o, X4:$i > $o]:(((fool @ esk1_0 @ (esk11_2 @ esk1_0 @ (a @ X3)))|(X4 @ (esk10_2 @ esk2_0 @ X5))|(X5 @ esk2_0)|~((X4 @ (esk9_2 @ X3 @ X4))))), inference(spm,[status(thm)],[c_0_108, c_0_122])).
421.43/61.18	thf(c_0_128, negated_conjecture, ![X3:$i, X4:$i > $o]:(((fool @ esk1_0 @ (esk11_2 @ esk1_0 @ (a @ X3)))|(fool @ X3 @ (esk9_2 @ X3 @ X4))|(X4 @ esk2_0))), inference(spm,[status(thm)],[c_0_36, c_0_124])).
421.43/61.18	thf(c_0_129, plain, ![X18:reg, X3:$i, X14:$i]:((~((c @ (esk8_1 @ X18) @ france))|~((c @ (esk7_1 @ X18) @ spain))|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_35])).
421.43/61.18	thf(c_0_130, plain, ![X18:reg, X3:$i, X14:$i]:(((c @ (esk8_1 @ X18) @ X18)|~((fool @ X3 @ X14)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125, c_0_126])])).
421.43/61.18	thf(c_0_131, negated_conjecture, ![X3:$i, X4:$i > $o]:(((fool @ esk1_0 @ (esk11_2 @ esk1_0 @ (a @ X3)))|(fool @ X3 @ (esk10_2 @ esk2_0 @ X4))|(fool @ X3 @ esk2_0)|(X4 @ esk2_0))), inference(spm,[status(thm)],[c_0_127, c_0_128])).
421.43/61.18	thf(c_0_132, plain, ![X18:reg, X3:$i, X14:$i]:((~((c @ (esk8_1 @ X18) @ france))|~((fool @ X3 @ X14)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129, c_0_126])])).
421.43/61.18	thf(c_0_133, negated_conjecture, ![X18:reg]:((c @ (esk8_1 @ X18) @ X18)), inference(spm,[status(thm)],[c_0_130, c_0_120])).
421.43/61.18	thf(c_0_134, negated_conjecture, ![X3:$i]:(((fool @ esk1_0 @ (esk11_2 @ esk1_0 @ (a @ X3)))|(fool @ X3 @ esk2_0))), inference(spm,[status(thm)],[c_0_36, c_0_131])).
421.43/61.18	thf(c_0_135, negated_conjecture, ![X3:$i, X14:$i]:(~((fool @ X3 @ X14))), inference(spm,[status(thm)],[c_0_132, c_0_133])).
421.43/61.18	thf(c_0_136, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_134, c_0_135]), c_0_135]), ['proof']).
421.43/61.18	% SZS output end CNFRefutation
421.43/61.18	% Parsed axioms                        : 98
421.43/61.18	% Removed by relevancy pruning/SinE    : 81
421.43/61.18	% Initial clauses                      : 46
421.43/61.18	% Removed in clause preprocessing      : 0
421.43/61.18	% Initial clauses in saturation        : 46
421.43/61.18	% Processed clauses                    : 3776
421.43/61.18	% ...of these trivial                  : 0
421.43/61.18	% ...subsumed                          : 1647
421.43/61.18	% ...remaining for further processing  : 2129
421.43/61.18	% Other redundant clauses eliminated   : 0
421.43/61.18	% Clauses deleted for lack of memory   : 0
421.43/61.18	% Backward-subsumed                    : 452
421.43/61.18	% Backward-rewritten                   : 408
421.43/61.18	% Generated clauses                    : 139055
421.43/61.18	% ...of the previous two non-redundant : 124822
421.43/61.18	% ...aggressively subsumed             : 0
421.43/61.18	% Contextual simplify-reflections      : 84
421.43/61.18	% Paramodulations                      : 138872
421.43/61.18	% Factorizations                       : 106
421.43/61.18	% NegExts                              : 0
421.43/61.18	% Equation resolutions                 : 0
421.43/61.18	% Disequality decompositions           : 0
421.43/61.18	% Total rewrite steps                  : 17952
421.43/61.18	% ...of those cached                   : 17877
421.43/61.18	% Propositional unsat checks           : 0
421.43/61.18	%    Propositional check models        : 0
421.43/61.18	%    Propositional check unsatisfiable : 0
421.43/61.18	%    Propositional clauses             : 0
421.43/61.18	%    Propositional clauses after purity: 0
421.43/61.18	%    Propositional unsat core size     : 0
421.43/61.18	%    Propositional preprocessing time  : 0.000
421.43/61.18	%    Propositional encoding time       : 0.000
421.43/61.18	%    Propositional solver time         : 0.000
421.43/61.18	%    Success case prop preproc time    : 0.000
421.43/61.18	%    Success case prop encoding time   : 0.000
421.43/61.18	%    Success case prop solver time     : 0.000
421.43/61.18	% Current number of processed clauses  : 1146
421.43/61.18	%    Positive orientable unit clauses  : 7
421.43/61.18	%    Positive unorientable unit clauses: 0
421.43/61.18	%    Negative unit clauses             : 1
421.43/61.18	%    Non-unit-clauses                  : 1138
421.43/61.18	% Current number of unprocessed clauses: 120883
421.43/61.18	% ...number of literals in the above   : 980995
421.43/61.18	% Current number of archived formulas  : 0
421.43/61.18	% Current number of archived clauses   : 983
421.43/61.18	% Clause-clause subsumption calls (NU) : 2417726
421.43/61.18	% Rec. Clause-clause subsumption calls : 118006
421.43/61.18	% Non-unit clause-clause subsumptions  : 1944
421.43/61.18	% Unit Clause-clause subsumption calls : 2891
421.43/61.18	% Rewrite failures with RHS unbound    : 0
421.43/61.18	% BW rewrite match attempts            : 36
421.43/61.18	% BW rewrite match successes           : 27
421.43/61.18	% Condensation attempts                : 3776
421.43/61.18	% Condensation successes               : 26
421.43/61.18	% Termbank termtop insertions          : 4967134
421.43/61.18	% Search garbage collected termcells   : 1332
421.43/61.18	
421.43/61.18	% -------------------------------------------------
421.43/61.18	% User time                : 59.246 s
421.43/61.18	% System time              : 1.146 s
421.43/61.18	% Total time               : 60.392 s
421.43/61.18	% Maximum resident set size: 4248 pages
421.43/61.18	
421.43/61.18	% -------------------------------------------------
421.43/61.18	% User time                : 59.247 s
421.43/61.18	% System time              : 1.154 s
421.43/61.18	% Total time               : 60.400 s
421.43/61.18	% Maximum resident set size: 4864 pages
421.43/61.18	% E exiting
421.43/61.18	EOF
