TSTP Solution File: GEG009^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : GEG009^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 02:41:37 EDT 2022
% Result : Theorem 42.54s 42.70s
% Output : Proof 42.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEG009^1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 7 05:04:07 EDT 2022
% 0.14/0.36 % CPUTime :
% 42.54/42.70 % SZS status Theorem
% 42.54/42.70 % Mode: mode485
% 42.54/42.70 % Inferences: 7380
% 42.54/42.70 % SZS output start Proof
% 42.54/42.70 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 42.54/42.70 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 42.54/42.70 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 42.54/42.70 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 42.54/42.70 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 42.54/42.70 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 42.54/42.70 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 42.54/42.70 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 42.54/42.70 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 42.54/42.70 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 42.54/42.70 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 42.54/42.70 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 42.54/42.70 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 42.54/42.70 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 42.54/42.70 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 42.54/42.70 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 42.54/42.70 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 42.54/42.70 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 42.54/42.70 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 42.54/42.70 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 42.54/42.70 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 42.54/42.70 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 42.54/42.70 thf(def_mpartially_functional,definition,(mpartially_functional = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (X3 = X4)))))))).
% 42.54/42.70 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 42.54/42.70 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 42.54/42.70 thf(def_mweakly_connected,definition,(mweakly_connected = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((~(((~(((X1 @ X3) @ X4))) => (X3 = X4)))) => ((X1 @ X4) @ X3))))))))).
% 42.54/42.70 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 42.54/42.70 thf(def_mvalid,definition,(mvalid = (!!))).
% 42.54/42.70 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 42.54/42.70 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 42.54/42.70 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 42.54/42.70 thf(def_dc,definition,(dc = (^[X1:reg]:(^[X2:reg]:(~(((c @ X1) @ X2))))))).
% 42.54/42.70 thf(def_p,definition,(p = (^[X1:reg]:(^[X2:reg]:(![X3:reg]:(((c @ X3) @ X1) => ((c @ X3) @ X2))))))).
% 42.54/42.70 thf(def_eq,definition,(eq = (^[X1:reg]:(^[X2:reg]:(~((((p @ X1) @ X2) => (~(((p @ X2) @ X1)))))))))).
% 42.54/42.70 thf(def_o,definition,(o = (^[X1:reg]:(^[X2:reg]:(~((![X3:reg]:(((p @ X3) @ X1) => (~(((p @ X3) @ X2))))))))))).
% 42.54/42.70 thf(def_po,definition,(po = (^[X1:reg]:(^[X2:reg]:(~(((~((((o @ X1) @ X2) => ((p @ X1) @ X2)))) => ((p @ X2) @ X1)))))))).
% 42.54/42.70 thf(def_ec,definition,(ec = (^[X1:reg]:(^[X2:reg]:(~((((c @ X1) @ X2) => ((o @ X1) @ X2)))))))).
% 42.54/42.70 thf(def_pp,definition,(pp = (^[X1:reg]:(^[X2:reg]:(~((((p @ X1) @ X2) => ((p @ X2) @ X1)))))))).
% 42.54/42.70 thf(def_tpp,definition,(tpp = (^[X1:reg]:(^[X2:reg]:(~((((pp @ X1) @ X2) => (![X3:reg]:(((ec @ X3) @ X1) => (~(((ec @ X3) @ X2)))))))))))).
% 42.54/42.70 thf(def_ntpp,definition,(ntpp = (^[X1:reg]:(^[X2:reg]:(~((((pp @ X1) @ X2) => (~((![X3:reg]:(((ec @ X3) @ X1) => (~(((ec @ X3) @ X2)))))))))))))).
% 42.54/42.70 thf(con,conjecture,(![X1:$i]:(![X2:$i]:(((a @ X1) @ X2) => (~((![X3:reg]:((~((~((![X4:reg]:((![X5:reg]:(((c @ X5) @ X4) => ((c @ X5) @ X3))) => (~((![X5:reg]:(((c @ X5) @ X4) => ((c @ X5) @ paris))))))))))) => (~(((![X4:reg]:(((c @ X4) @ X3) => ((c @ X4) @ spain))) => (~((![X4:reg]:(((c @ X4) @ spain) => ((c @ X4) @ X3)))))))))))))))).
% 42.54/42.70 thf(h0,negated_conjecture,(~((![X1:$i]:(![X2:$i]:(((a @ X1) @ X2) => (~((![X3:reg]:((![X4:reg]:((![X5:reg]:(((c @ X5) @ X4) => ((c @ X5) @ X3))) => (~((![X5:reg]:(((c @ X5) @ X4) => ((c @ X5) @ paris))))))) => (~(((![X4:reg]:(((c @ X4) @ X3) => ((c @ X4) @ spain))) => (~((![X4:reg]:(((c @ X4) @ spain) => ((c @ X4) @ X3))))))))))))))))),inference(assume_negation,[status(cth)],[con])).
% 42.54/42.70 thf(ax4573, axiom, (p1|~(p10)), file('<stdin>', ax4573)).
% 42.54/42.70 thf(ax4582, axiom, ~(p1), file('<stdin>', ax4582)).
% 42.54/42.70 thf(ax4572, axiom, (p10|~(p11)), file('<stdin>', ax4572)).
% 42.54/42.70 thf(ax4007, axiom, (~(p7)|p252), file('<stdin>', ax4007)).
% 42.54/42.70 thf(ax4009, axiom, (~(p251)|~(p12)|~(p250)), file('<stdin>', ax4009)).
% 42.54/42.70 thf(ax4571, axiom, (p11|p12), file('<stdin>', ax4571)).
% 42.54/42.70 thf(ax4008, axiom, (~(p252)|p251), file('<stdin>', ax4008)).
% 42.54/42.70 thf(ax4576, axiom, p7, file('<stdin>', ax4576)).
% 42.54/42.70 thf(ax2693, axiom, (p250|~(p461)), file('<stdin>', ax2693)).
% 42.54/42.70 thf(ax3971, axiom, (~(p9)|p289), file('<stdin>', ax3971)).
% 42.54/42.70 thf(ax3991, axiom, (~(p13)|p268), file('<stdin>', ax3991)).
% 42.54/42.70 thf(ax4570, axiom, (p11|p13), file('<stdin>', ax4570)).
% 42.54/42.70 thf(ax2338, axiom, (p461|~(p666)), file('<stdin>', ax2338)).
% 42.54/42.70 thf(ax3973, axiom, (~(p288)|~(p12)|~(p287)), file('<stdin>', ax3973)).
% 42.54/42.70 thf(ax3972, axiom, (~(p289)|p288), file('<stdin>', ax3972)).
% 42.54/42.70 thf(ax4574, axiom, p9, file('<stdin>', ax4574)).
% 42.54/42.70 thf(ax2794, axiom, (~(p268)|~(p385)|~(p386)), file('<stdin>', ax2794)).
% 42.54/42.70 thf(ax3974, axiom, (~(p8)|p286), file('<stdin>', ax3974)).
% 42.54/42.70 thf(ax1206, axiom, (~(p4)|p885), file('<stdin>', ax1206)).
% 42.54/42.70 thf(ax2404, axiom, (p386|p666), file('<stdin>', ax2404)).
% 42.54/42.70 thf(ax1208, axiom, (~(p884)|~(p286)|~(p269)), file('<stdin>', ax1208)).
% 42.54/42.70 thf(ax4575, axiom, p8, file('<stdin>', ax4575)).
% 42.54/42.70 thf(ax1207, axiom, (~(p885)|p884), file('<stdin>', ax1207)).
% 42.54/42.70 thf(ax4579, axiom, p4, file('<stdin>', ax4579)).
% 42.54/42.70 thf(nax385, axiom, (p385<=![X20:reg]:(![X13:reg]:(fc @ X13 @ X20=>fc @ X13 @ fcatalunya)=>~(![X13:reg]:(fc @ X13 @ X20=>fc @ X13 @ fparis)))), file('<stdin>', nax385)).
% 42.54/42.70 thf(pax2, axiom, (p2=>![X30:reg]:fc @ X30 @ X30), file('<stdin>', pax2)).
% 42.54/42.70 thf(ax2312, axiom, (~(p466)|p727), file('<stdin>', ax2312)).
% 42.54/42.70 thf(ax2688, axiom, (p287|p466), file('<stdin>', ax2688)).
% 42.54/42.70 thf(ax888, axiom, (~(p665)|p910), file('<stdin>', ax888)).
% 42.54/42.70 thf(ax2339, axiom, (p461|p665), file('<stdin>', ax2339)).
% 42.54/42.70 thf(pax3, axiom, (p3=>![X30:reg, X31:reg]:(fc @ X30 @ X31=>fc @ X31 @ X30)), file('<stdin>', pax3)).
% 42.54/42.70 thf(ax4581, axiom, p2, file('<stdin>', ax4581)).
% 42.54/42.70 thf(ax2313, axiom, (~(p727)|p726|p269), file('<stdin>', ax2313)).
% 42.54/42.70 thf(ax2588, axiom, (~(p3)|p538), file('<stdin>', ax2588)).
% 42.54/42.70 thf(ax889, axiom, (~(p910)|~(p646)|p57), file('<stdin>', ax889)).
% 42.54/42.70 thf(ax4580, axiom, p3, file('<stdin>', ax4580)).
% 42.54/42.70 thf(ax2314, axiom, (~(p726)|~(p60)|~(p43)), file('<stdin>', ax2314)).
% 42.54/42.70 thf(ax2527, axiom, (~(p538)|p570), file('<stdin>', ax2527)).
% 42.54/42.70 thf(nax646, axiom, (p646<=fc @ fparis @ fcatalunya), file('<stdin>', nax646)).
% 42.54/42.70 thf(ax4524, axiom, (p43|~(p63)), file('<stdin>', ax4524)).
% 42.54/42.70 thf(ax2528, axiom, (~(p570)|~(p57)|p60), file('<stdin>', ax2528)).
% 42.54/42.70 thf(ax2331, axiom, (~(p464)|p712), file('<stdin>', ax2331)).
% 42.54/42.70 thf(ax2690, axiom, (p269|p464), file('<stdin>', ax2690)).
% 42.54/42.70 thf(ax2332, axiom, (~(p712)|~(p73)|~(p711)), file('<stdin>', ax2332)).
% 42.54/42.70 thf(ax4515, axiom, (p63|p73), file('<stdin>', ax4515)).
% 42.54/42.70 thf(nax287, axiom, (p287<=(~((![X22:reg]:(fc @ X22 @ fparis=>fc @ X22 @ ffrance)=>![X22:reg]:(fc @ X22 @ ffrance=>fc @ X22 @ fparis)))=>~(![X22:reg]:(~((fc @ X22 @ fparis=>~(![X13:reg]:(![X4:reg]:(fc @ X4 @ X13=>fc @ X4 @ X22)=>~(![X4:reg]:(fc @ X4 @ X13=>fc @ X4 @ fparis))))))=>(fc @ X22 @ ffrance=>~(![X13:reg]:(![X4:reg]:(fc @ X4 @ X13=>fc @ X4 @ X22)=>~(![X4:reg]:(fc @ X4 @ X13=>fc @ X4 @ ffrance))))))))), file('<stdin>', nax287)).
% 42.54/42.70 thf(nax63, axiom, (p63<=(![X26:reg]:(fc @ X26 @ f__4=>fc @ X26 @ fspain)=>~(![X26:reg]:(fc @ X26 @ f__4=>fc @ X26 @ fparis)))), file('<stdin>', nax63)).
% 42.54/42.70 thf(nax711, axiom, (p711<=![X20:reg]:(fc @ X20 @ f__4=>fc @ X20 @ ffrance)), file('<stdin>', nax711)).
% 42.54/42.70 thf(c_0_48, plain, (p1|~p10), inference(fof_simplification,[status(thm)],[ax4573])).
% 42.54/42.70 thf(c_0_49, plain, ~p1, inference(fof_simplification,[status(thm)],[ax4582])).
% 42.54/42.70 thf(c_0_50, plain, (p10|~p11), inference(fof_simplification,[status(thm)],[ax4572])).
% 42.54/42.70 thf(c_0_51, plain, (p1|~p10), inference(split_conjunct,[status(thm)],[c_0_48])).
% 42.54/42.70 thf(c_0_52, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_49])).
% 42.54/42.70 thf(c_0_53, plain, (p10|~p11), inference(split_conjunct,[status(thm)],[c_0_50])).
% 42.54/42.70 thf(c_0_54, plain, ~p10, inference(sr,[status(thm)],[c_0_51, c_0_52])).
% 42.54/42.70 thf(c_0_55, plain, (~p7|p252), inference(fof_simplification,[status(thm)],[ax4007])).
% 42.54/42.70 thf(c_0_56, plain, (~p251|~p12|~p250), inference(fof_simplification,[status(thm)],[ax4009])).
% 42.54/42.70 thf(c_0_57, plain, (p11|p12), inference(split_conjunct,[status(thm)],[ax4571])).
% 42.54/42.70 thf(c_0_58, plain, ~p11, inference(sr,[status(thm)],[c_0_53, c_0_54])).
% 42.54/42.70 thf(c_0_59, plain, (~p252|p251), inference(fof_simplification,[status(thm)],[ax4008])).
% 42.54/42.70 thf(c_0_60, plain, (p252|~p7), inference(split_conjunct,[status(thm)],[c_0_55])).
% 42.54/42.70 thf(c_0_61, plain, p7, inference(split_conjunct,[status(thm)],[ax4576])).
% 42.54/42.70 thf(c_0_62, plain, (~p251|~p12|~p250), inference(split_conjunct,[status(thm)],[c_0_56])).
% 42.54/42.70 thf(c_0_63, plain, p12, inference(sr,[status(thm)],[c_0_57, c_0_58])).
% 42.54/42.70 thf(c_0_64, plain, (p251|~p252), inference(split_conjunct,[status(thm)],[c_0_59])).
% 42.54/42.70 thf(c_0_65, plain, p252, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_61])])).
% 42.54/42.70 thf(c_0_66, plain, (p250|~p461), inference(fof_simplification,[status(thm)],[ax2693])).
% 42.54/42.70 thf(c_0_67, plain, (~p250|~p251), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63])])).
% 42.54/42.70 thf(c_0_68, plain, p251, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64, c_0_65])])).
% 42.54/42.70 thf(c_0_69, plain, (~p9|p289), inference(fof_simplification,[status(thm)],[ax3971])).
% 42.54/42.70 thf(c_0_70, plain, (~p13|p268), inference(fof_simplification,[status(thm)],[ax3991])).
% 42.54/42.70 thf(c_0_71, plain, (p11|p13), inference(split_conjunct,[status(thm)],[ax4570])).
% 42.54/42.70 thf(c_0_72, plain, (p461|~p666), inference(fof_simplification,[status(thm)],[ax2338])).
% 42.54/42.70 thf(c_0_73, plain, (p250|~p461), inference(split_conjunct,[status(thm)],[c_0_66])).
% 42.54/42.70 thf(c_0_74, plain, ~p250, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_68])])).
% 42.54/42.70 thf(c_0_75, plain, (~p288|~p12|~p287), inference(fof_simplification,[status(thm)],[ax3973])).
% 42.54/42.70 thf(c_0_76, plain, (~p289|p288), inference(fof_simplification,[status(thm)],[ax3972])).
% 42.54/42.70 thf(c_0_77, plain, (p289|~p9), inference(split_conjunct,[status(thm)],[c_0_69])).
% 42.54/42.70 thf(c_0_78, plain, p9, inference(split_conjunct,[status(thm)],[ax4574])).
% 42.54/42.70 thf(c_0_79, plain, (~p268|~p385|~p386), inference(fof_simplification,[status(thm)],[ax2794])).
% 42.54/42.70 thf(c_0_80, plain, (p268|~p13), inference(split_conjunct,[status(thm)],[c_0_70])).
% 42.54/42.70 thf(c_0_81, plain, p13, inference(sr,[status(thm)],[c_0_71, c_0_58])).
% 42.54/42.70 thf(c_0_82, plain, (p461|~p666), inference(split_conjunct,[status(thm)],[c_0_72])).
% 42.54/42.70 thf(c_0_83, plain, ~p461, inference(sr,[status(thm)],[c_0_73, c_0_74])).
% 42.54/42.70 thf(c_0_84, plain, (~p288|~p12|~p287), inference(split_conjunct,[status(thm)],[c_0_75])).
% 42.54/42.70 thf(c_0_85, plain, (p288|~p289), inference(split_conjunct,[status(thm)],[c_0_76])).
% 42.54/42.70 thf(c_0_86, plain, p289, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_78])])).
% 42.54/42.70 thf(c_0_87, plain, (~p8|p286), inference(fof_simplification,[status(thm)],[ax3974])).
% 42.54/42.70 thf(c_0_88, plain, (~p4|p885), inference(fof_simplification,[status(thm)],[ax1206])).
% 42.54/42.70 thf(c_0_89, plain, (~p268|~p385|~p386), inference(split_conjunct,[status(thm)],[c_0_79])).
% 42.54/42.70 thf(c_0_90, plain, p268, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_81])])).
% 42.54/42.70 thf(c_0_91, plain, (p386|p666), inference(split_conjunct,[status(thm)],[ax2404])).
% 42.54/42.70 thf(c_0_92, plain, ~p666, inference(sr,[status(thm)],[c_0_82, c_0_83])).
% 42.54/42.70 thf(c_0_93, plain, (~p287|~p288), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84, c_0_63])])).
% 42.54/42.70 thf(c_0_94, plain, p288, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85, c_0_86])])).
% 42.54/42.70 thf(c_0_95, plain, (~p884|~p286|~p269), inference(fof_simplification,[status(thm)],[ax1208])).
% 42.54/42.70 thf(c_0_96, plain, (p286|~p8), inference(split_conjunct,[status(thm)],[c_0_87])).
% 42.54/42.70 thf(c_0_97, plain, p8, inference(split_conjunct,[status(thm)],[ax4575])).
% 42.54/42.70 thf(c_0_98, plain, (~p885|p884), inference(fof_simplification,[status(thm)],[ax1207])).
% 42.54/42.70 thf(c_0_99, plain, (p885|~p4), inference(split_conjunct,[status(thm)],[c_0_88])).
% 42.54/42.70 thf(c_0_100, plain, p4, inference(split_conjunct,[status(thm)],[ax4579])).
% 42.54/42.70 thf(c_0_101, plain, ![X890:reg, X891:reg]:((~fc @ X890 @ esk429_0|fc @ X890 @ fcatalunya|p385)&(~fc @ X891 @ esk429_0|fc @ X891 @ fparis|p385)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax385])])])])])])).
% 42.54/42.70 thf(c_0_102, plain, (~p385|~p386), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89, c_0_90])])).
% 42.54/42.70 thf(c_0_103, plain, p386, inference(sr,[status(thm)],[c_0_91, c_0_92])).
% 42.54/42.70 thf(c_0_104, plain, ![X1452:reg]:(~p2|fc @ X1452 @ X1452), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 42.54/42.70 thf(c_0_105, plain, (~p466|p727), inference(fof_simplification,[status(thm)],[ax2312])).
% 42.54/42.70 thf(c_0_106, plain, (p287|p466), inference(split_conjunct,[status(thm)],[ax2688])).
% 42.54/42.70 thf(c_0_107, plain, ~p287, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93, c_0_94])])).
% 42.54/42.70 thf(c_0_108, plain, (~p884|~p286|~p269), inference(split_conjunct,[status(thm)],[c_0_95])).
% 42.54/42.70 thf(c_0_109, plain, p286, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96, c_0_97])])).
% 42.54/42.70 thf(c_0_110, plain, (p884|~p885), inference(split_conjunct,[status(thm)],[c_0_98])).
% 42.54/42.70 thf(c_0_111, plain, p885, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99, c_0_100])])).
% 42.54/42.70 thf(c_0_112, plain, (~p665|p910), inference(fof_simplification,[status(thm)],[ax888])).
% 42.54/42.70 thf(c_0_113, plain, (p461|p665), inference(split_conjunct,[status(thm)],[ax2339])).
% 42.54/42.70 thf(c_0_114, plain, ![X1448:reg, X1449:reg]:(~p3|(~fc @ X1448 @ X1449|fc @ X1449 @ X1448)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax3])])])).
% 42.54/42.70 thf(c_0_115, plain, ![X1:reg]:(fc @ X1 @ fparis|p385|~fc @ X1 @ esk429_0), inference(split_conjunct,[status(thm)],[c_0_101])).
% 42.54/42.70 thf(c_0_116, plain, ~p385, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102, c_0_103])])).
% 42.54/42.70 thf(c_0_117, plain, ![X1:reg]:(fc @ X1 @ X1|~p2), inference(split_conjunct,[status(thm)],[c_0_104])).
% 42.54/42.70 thf(c_0_118, plain, p2, inference(split_conjunct,[status(thm)],[ax4581])).
% 42.54/42.70 thf(c_0_119, plain, (~p727|p726|p269), inference(fof_simplification,[status(thm)],[ax2313])).
% 42.54/42.70 thf(c_0_120, plain, (p727|~p466), inference(split_conjunct,[status(thm)],[c_0_105])).
% 42.54/42.70 thf(c_0_121, plain, p466, inference(sr,[status(thm)],[c_0_106, c_0_107])).
% 42.54/42.70 thf(c_0_122, plain, (~p269|~p884), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108, c_0_109])])).
% 42.54/42.70 thf(c_0_123, plain, p884, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110, c_0_111])])).
% 42.54/42.70 thf(c_0_124, plain, (~p3|p538), inference(fof_simplification,[status(thm)],[ax2588])).
% 42.54/42.70 thf(c_0_125, plain, (~p910|~p646|p57), inference(fof_simplification,[status(thm)],[ax889])).
% 42.54/42.70 thf(c_0_126, plain, (p910|~p665), inference(split_conjunct,[status(thm)],[c_0_112])).
% 42.54/42.70 thf(c_0_127, plain, p665, inference(sr,[status(thm)],[c_0_113, c_0_83])).
% 42.54/42.70 thf(c_0_128, plain, ![X1:reg, X2:reg]:(fc @ X2 @ X1|~p3|~fc @ X1 @ X2), inference(split_conjunct,[status(thm)],[c_0_114])).
% 42.54/42.70 thf(c_0_129, plain, p3, inference(split_conjunct,[status(thm)],[ax4580])).
% 42.54/42.70 thf(c_0_130, plain, ![X1:reg]:(fc @ X1 @ fparis|~fc @ X1 @ esk429_0), inference(sr,[status(thm)],[c_0_115, c_0_116])).
% 42.54/42.70 thf(c_0_131, plain, ![X1:reg]:fc @ X1 @ X1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117, c_0_118])])).
% 42.54/42.70 thf(c_0_132, plain, (~p726|~p60|~p43), inference(fof_simplification,[status(thm)],[ax2314])).
% 42.54/42.70 thf(c_0_133, plain, (p726|p269|~p727), inference(split_conjunct,[status(thm)],[c_0_119])).
% 42.54/42.70 thf(c_0_134, plain, p727, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120, c_0_121])])).
% 42.54/42.70 thf(c_0_135, plain, ~p269, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_122, c_0_123])])).
% 42.54/42.70 thf(c_0_136, plain, (~p538|p570), inference(fof_simplification,[status(thm)],[ax2527])).
% 42.54/42.70 thf(c_0_137, plain, (p538|~p3), inference(split_conjunct,[status(thm)],[c_0_124])).
% 42.54/42.70 thf(c_0_138, plain, (p57|~p910|~p646), inference(split_conjunct,[status(thm)],[c_0_125])).
% 42.54/42.70 thf(c_0_139, plain, p910, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126, c_0_127])])).
% 42.54/42.70 thf(c_0_140, plain, (~fc @ fparis @ fcatalunya|p646), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax646])])).
% 42.54/42.70 thf(c_0_141, plain, ![X1:reg]:(fc @ X1 @ fcatalunya|p385|~fc @ X1 @ esk429_0), inference(split_conjunct,[status(thm)],[c_0_101])).
% 42.54/42.70 thf(c_0_142, plain, ![X2:reg, X1:reg]:(fc @ X1 @ X2|~fc @ X2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128, c_0_129])])).
% 42.54/42.70 thf(c_0_143, plain, fc @ esk429_0 @ fparis, inference(spm,[status(thm)],[c_0_130, c_0_131])).
% 42.54/42.70 thf(c_0_144, plain, (~p726|~p60|~p43), inference(split_conjunct,[status(thm)],[c_0_132])).
% 42.54/42.70 thf(c_0_145, plain, p726, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133, c_0_134])]), c_0_135])).
% 42.54/42.70 thf(c_0_146, plain, (p43|~p63), inference(fof_simplification,[status(thm)],[ax4524])).
% 42.54/42.70 thf(c_0_147, plain, (~p570|~p57|p60), inference(fof_simplification,[status(thm)],[ax2528])).
% 42.54/42.70 thf(c_0_148, plain, (p570|~p538), inference(split_conjunct,[status(thm)],[c_0_136])).
% 42.54/42.70 thf(c_0_149, plain, p538, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137, c_0_129])])).
% 42.54/42.70 thf(c_0_150, plain, (p57|~p646), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138, c_0_139])])).
% 42.54/42.70 thf(c_0_151, plain, (p646|~fc @ fparis @ fcatalunya), inference(split_conjunct,[status(thm)],[c_0_140])).
% 42.54/42.70 thf(c_0_152, plain, ![X1:reg]:(fc @ X1 @ fcatalunya|~fc @ X1 @ esk429_0), inference(sr,[status(thm)],[c_0_141, c_0_116])).
% 42.54/42.70 thf(c_0_153, plain, fc @ fparis @ esk429_0, inference(spm,[status(thm)],[c_0_142, c_0_143])).
% 42.54/42.70 thf(c_0_154, plain, (~p464|p712), inference(fof_simplification,[status(thm)],[ax2331])).
% 42.54/42.70 thf(c_0_155, plain, (p269|p464), inference(split_conjunct,[status(thm)],[ax2690])).
% 42.54/42.70 thf(c_0_156, plain, (~p43|~p60), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144, c_0_145])])).
% 42.54/42.70 thf(c_0_157, plain, (p43|~p63), inference(split_conjunct,[status(thm)],[c_0_146])).
% 42.54/42.70 thf(c_0_158, plain, (p60|~p570|~p57), inference(split_conjunct,[status(thm)],[c_0_147])).
% 42.54/42.70 thf(c_0_159, plain, p570, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148, c_0_149])])).
% 42.54/42.70 thf(c_0_160, plain, (p57|~fc @ fparis @ fcatalunya), inference(spm,[status(thm)],[c_0_150, c_0_151])).
% 42.54/42.70 thf(c_0_161, plain, fc @ fparis @ fcatalunya, inference(spm,[status(thm)],[c_0_152, c_0_153])).
% 42.54/42.70 thf(c_0_162, plain, (~p712|~p73|~p711), inference(fof_simplification,[status(thm)],[ax2332])).
% 42.54/42.70 thf(c_0_163, plain, (p712|~p464), inference(split_conjunct,[status(thm)],[c_0_154])).
% 42.54/42.70 thf(c_0_164, plain, p464, inference(sr,[status(thm)],[c_0_155, c_0_135])).
% 42.54/42.70 thf(c_0_165, plain, (~p60|~p63), inference(spm,[status(thm)],[c_0_156, c_0_157])).
% 42.54/42.70 thf(c_0_166, plain, (p63|p73), inference(split_conjunct,[status(thm)],[ax4515])).
% 42.54/42.70 thf(c_0_167, plain, (p60|~p57), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158, c_0_159])])).
% 42.54/42.70 thf(c_0_168, plain, p57, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160, c_0_161])])).
% 42.54/42.70 thf(c_0_169, plain, (~p712|~p73|~p711), inference(split_conjunct,[status(thm)],[c_0_162])).
% 42.54/42.70 thf(c_0_170, plain, p712, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163, c_0_164])])).
% 42.54/42.70 thf(c_0_171, plain, (p73|~p60), inference(spm,[status(thm)],[c_0_165, c_0_166])).
% 42.54/42.70 thf(c_0_172, plain, p60, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_167, c_0_168])])).
% 42.54/42.70 thf(c_0_173, plain, ![X1027:reg, X1029:reg, X1031:reg, X1032:reg, X1034:reg, X1035:reg]:(((~fc @ X1027 @ fparis|fc @ X1027 @ ffrance|p287)&((fc @ esk499_0 @ ffrance|p287)&(~fc @ esk499_0 @ fparis|p287)))&(((~fc @ X1034 @ (esk501_1 @ X1029)|fc @ X1034 @ X1029|~fc @ X1029 @ ffrance|(~fc @ X1031 @ (esk500_1 @ X1029)|fc @ X1031 @ X1029|~fc @ X1029 @ fparis)|p287)&(~fc @ X1035 @ (esk501_1 @ X1029)|fc @ X1035 @ ffrance|~fc @ X1029 @ ffrance|(~fc @ X1031 @ (esk500_1 @ X1029)|fc @ X1031 @ X1029|~fc @ X1029 @ fparis)|p287))&((~fc @ X1034 @ (esk501_1 @ X1029)|fc @ X1034 @ X1029|~fc @ X1029 @ ffrance|(~fc @ X1032 @ (esk500_1 @ X1029)|fc @ X1032 @ fparis|~fc @ X1029 @ fparis)|p287)&(~fc @ X1035 @ (esk501_1 @ X1029)|fc @ X1035 @ ffrance|~fc @ X1029 @ ffrance|(~fc @ X1032 @ (esk500_1 @ X1029)|fc @ X1032 @ fparis|~fc @ X1029 @ fparis)|p287)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax287])])])])])])).
% 42.54/42.70 thf(c_0_174, plain, ![X1276:reg, X1277:reg]:((~fc @ X1276 @ f__4|fc @ X1276 @ fspain|p63)&(~fc @ X1277 @ f__4|fc @ X1277 @ fparis|p63)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax63])])])])])).
% 42.54/42.70 thf(c_0_175, plain, ((fc @ esk305_0 @ f__4|p711)&(~fc @ esk305_0 @ ffrance|p711)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax711])])])])])).
% 42.54/42.70 thf(c_0_176, plain, (~p73|~p711), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169, c_0_170])])).
% 42.54/42.70 thf(c_0_177, plain, p73, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171, c_0_172])])).
% 42.54/42.70 thf(c_0_178, plain, ![X1:reg]:(fc @ X1 @ ffrance|p287|~fc @ X1 @ fparis), inference(split_conjunct,[status(thm)],[c_0_173])).
% 42.54/42.70 thf(c_0_179, plain, ![X1:reg]:(fc @ X1 @ fparis|p63|~fc @ X1 @ f__4), inference(split_conjunct,[status(thm)],[c_0_174])).
% 42.54/42.70 thf(c_0_180, plain, ~p63, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165, c_0_172])])).
% 42.54/42.70 thf(c_0_181, plain, (fc @ esk305_0 @ f__4|p711), inference(split_conjunct,[status(thm)],[c_0_175])).
% 42.54/42.70 thf(c_0_182, plain, ~p711, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176, c_0_177])])).
% 42.54/42.70 thf(c_0_183, plain, (p711|~fc @ esk305_0 @ ffrance), inference(split_conjunct,[status(thm)],[c_0_175])).
% 42.54/42.70 thf(c_0_184, plain, ![X1:reg]:(fc @ X1 @ ffrance|~fc @ X1 @ fparis), inference(sr,[status(thm)],[c_0_178, c_0_107])).
% 42.54/42.70 thf(c_0_185, plain, ![X1:reg]:(fc @ X1 @ fparis|~fc @ X1 @ f__4), inference(sr,[status(thm)],[c_0_179, c_0_180])).
% 42.54/42.70 thf(c_0_186, plain, fc @ esk305_0 @ f__4, inference(sr,[status(thm)],[c_0_181, c_0_182])).
% 42.54/42.70 thf(c_0_187, plain, ~fc @ esk305_0 @ fparis, inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_183, c_0_184]), c_0_182])).
% 42.54/42.70 thf(c_0_188, plain, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_185, c_0_186]), c_0_187]), ['proof']).
% 42.54/42.70 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 42.54/42.70 thf(0,theorem,(![X1:$i]:(![X2:$i]:(((a @ X1) @ X2) => (~((![X3:reg]:((~((~((![X4:reg]:((![X5:reg]:(((c @ X5) @ X4) => ((c @ X5) @ X3))) => (~((![X5:reg]:(((c @ X5) @ X4) => ((c @ X5) @ paris))))))))))) => (~(((![X4:reg]:(((c @ X4) @ X3) => ((c @ X4) @ spain))) => (~((![X4:reg]:(((c @ X4) @ spain) => ((c @ X4) @ X3))))))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 42.54/42.70 % SZS output end Proof
%------------------------------------------------------------------------------