TSTP Solution File: GEG003^1 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : GEG003^1 : 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 : n024.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 02:41:36 EDT 2022
% Result : Theorem 2.91s 3.15s
% Output : Proof 2.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEG003^1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.32 % Computer : n024.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jun 7 04:59:35 EDT 2022
% 0.12/0.32 % CPUTime :
% 2.91/3.15 % SZS status Theorem
% 2.91/3.15 % Mode: mode506
% 2.91/3.15 % Inferences: 41587
% 2.91/3.15 % SZS output start Proof
% 2.91/3.15 thf(def_meq_ind,definition,(meq_ind = (^[X1:mu]:(^[X2:mu]:(^[X3:$i]:(X1 = X2)))))).
% 2.91/3.15 thf(def_meq_prop,definition,(meq_prop = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((X1 @ X3) = (X2 @ X3))))))).
% 2.91/3.15 thf(def_mnot,definition,(mnot = (^[X1:$i>$o]:(^[X2:$i]:(~((X1 @ X2))))))).
% 2.91/3.15 thf(def_mor,definition,(mor = (^[X1:$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 2.91/3.15 thf(def_mand,definition,(mand = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mor @ (mnot @ X1)) @ (mnot @ X2))))))).
% 2.91/3.15 thf(def_mimplies,definition,(mimplies = (^[X1:$i>$o]:(mor @ (mnot @ X1))))).
% 2.91/3.15 thf(def_mimplied,definition,(mimplied = (^[X1:$i>$o]:(^[X2:$i>$o]:((mor @ (mnot @ X2)) @ X1))))).
% 2.91/3.15 thf(def_mequiv,definition,(mequiv = (^[X1:$i>$o]:(^[X2:$i>$o]:((mand @ ((mimplies @ X1) @ X2)) @ ((mimplies @ X2) @ X1)))))).
% 2.91/3.15 thf(def_mxor,definition,(mxor = (^[X1:$i>$o]:(^[X2:$i>$o]:(mnot @ ((mequiv @ X1) @ X2)))))).
% 2.91/3.15 thf(def_mforall_ind,definition,(mforall_ind = (^[X1:mu>$i>$o]:(^[X2:$i]:(![X3:mu]:((X1 @ X3) @ X2)))))).
% 2.91/3.15 thf(def_mforall_prop,definition,(mforall_prop = (^[X1:($i>$o)>$i>$o]:(^[X2:$i]:(![X3:$i>$o]:((X1 @ X3) @ X2)))))).
% 2.91/3.15 thf(def_mexists_ind,definition,(mexists_ind = (^[X1:mu>$i>$o]:(mnot @ (mforall_ind @ (^[X2:mu]:(mnot @ (X1 @ X2)))))))).
% 2.91/3.15 thf(def_mexists_prop,definition,(mexists_prop = (^[X1:($i>$o)>$i>$o]:(mnot @ (mforall_prop @ (^[X2:$i>$o]:(mnot @ (X1 @ X2)))))))).
% 2.91/3.15 thf(def_mtrue,definition,(mtrue = (^[X1:$i]:(~($false))))).
% 2.91/3.15 thf(def_mfalse,definition,(mfalse = (mnot @ mtrue))).
% 2.91/3.15 thf(def_mbox,definition,(mbox = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(^[X3:$i]:(![X4:$i]:(((X1 @ X3) @ X4) => (X2 @ X4)))))))).
% 2.91/3.15 thf(def_mdia,definition,(mdia = (^[X1:$i>$i>$o]:(^[X2:$i>$o]:(mnot @ ((mbox @ X1) @ (mnot @ X2))))))).
% 2.91/3.15 thf(def_mreflexive,definition,(mreflexive = (^[X1:$i>$i>$o]:(![X2:$i]:((X1 @ X2) @ X2))))).
% 2.91/3.15 thf(def_msymmetric,definition,(msymmetric = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(((X1 @ X2) @ X3) => ((X1 @ X3) @ X2))))))).
% 2.91/3.15 thf(def_mserial,definition,(mserial = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(~(((X1 @ X2) @ X3)))))))))).
% 2.91/3.15 thf(def_mtransitive,definition,(mtransitive = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X3) @ X4)))))) => ((X1 @ X2) @ X4)))))))).
% 2.91/3.15 thf(def_meuclidean,definition,(meuclidean = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((X1 @ X3) @ X4)))))))).
% 2.91/3.15 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)))))))).
% 2.91/3.15 thf(def_mfunctional,definition,(mfunctional = (^[X1:$i>$i>$o]:(![X2:$i]:(~((![X3:$i]:(((X1 @ X2) @ X3) => (~((![X4:$i]:(((X1 @ X2) @ X4) => (X3 = X4))))))))))))).
% 2.91/3.15 thf(def_mweakly_dense,definition,(mweakly_dense = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:(((X1 @ X2) @ X3) => (~((![X5:$i]:(((X1 @ X2) @ X5) => (~(((X1 @ X5) @ X3)))))))))))))).
% 2.91/3.15 thf(def_mweakly_connected,definition,(mweakly_connected = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => ((~(((~(((X1 @ X3) @ X4))) => (X3 = X4)))) => ((X1 @ X4) @ X3))))))))).
% 2.91/3.15 thf(def_mweakly_directed,definition,(mweakly_directed = (^[X1:$i>$i>$o]:(![X2:$i]:(![X3:$i]:(![X4:$i]:((~((((X1 @ X2) @ X3) => (~(((X1 @ X2) @ X4)))))) => (~((![X5:$i]:(((X1 @ X3) @ X5) => (~(((X1 @ X4) @ X5)))))))))))))).
% 2.91/3.15 thf(def_mvalid,definition,(mvalid = (!!))).
% 2.91/3.15 thf(def_minvalid,definition,(minvalid = (^[X1:$i>$o]:(![X2:$i]:(~((X1 @ X2))))))).
% 2.91/3.15 thf(def_msatisfiable,definition,(msatisfiable = (^[X1:$i>$o]:(~((![X2:$i]:(~((X1 @ X2))))))))).
% 2.91/3.15 thf(def_mcountersatisfiable,definition,(mcountersatisfiable = (^[X1:$i>$o]:(~(((!!) @ X1)))))).
% 2.91/3.15 thf(def_dc,definition,(dc = (^[X1:reg]:(^[X2:reg]:(~(((c @ X1) @ X2))))))).
% 2.91/3.15 thf(def_p,definition,(p = (^[X1:reg]:(^[X2:reg]:(![X3:reg]:(((c @ X3) @ X1) => ((c @ X3) @ X2))))))).
% 2.91/3.15 thf(def_eq,definition,(eq = (^[X1:reg]:(^[X2:reg]:(~((((p @ X1) @ X2) => (~(((p @ X2) @ X1)))))))))).
% 2.91/3.15 thf(def_o,definition,(o = (^[X1:reg]:(^[X2:reg]:(~((![X3:reg]:(((p @ X3) @ X1) => (~(((p @ X3) @ X2))))))))))).
% 2.91/3.15 thf(def_po,definition,(po = (^[X1:reg]:(^[X2:reg]:(~(((~((((o @ X1) @ X2) => ((p @ X1) @ X2)))) => ((p @ X2) @ X1)))))))).
% 2.91/3.15 thf(def_ec,definition,(ec = (^[X1:reg]:(^[X2:reg]:(~((((c @ X1) @ X2) => ((o @ X1) @ X2)))))))).
% 2.91/3.15 thf(def_pp,definition,(pp = (^[X1:reg]:(^[X2:reg]:(~((((p @ X1) @ X2) => ((p @ X2) @ X1)))))))).
% 2.91/3.15 thf(def_tpp,definition,(tpp = (^[X1:reg]:(^[X2:reg]:(~((((pp @ X1) @ X2) => (![X3:reg]:(((ec @ X3) @ X1) => (~(((ec @ X3) @ X2)))))))))))).
% 2.91/3.15 thf(def_ntpp,definition,(ntpp = (^[X1:reg]:(^[X2:reg]:(~((((pp @ X1) @ X2) => (~((![X3:reg]:(((ec @ X3) @ X1) => (~(((ec @ X3) @ X2)))))))))))))).
% 2.91/3.15 thf(con,conjecture,(![X1:$i]:(![X2:$i]:(((a @ X1) @ X2) => (~(((~(((c @ catalunya) @ paris))) => (~((~(((c @ spain) @ paris)))))))))))).
% 2.91/3.15 thf(h0,negated_conjecture,(~((![X1:$i]:(![X2:$i]:(((a @ X1) @ X2) => (~(((~(((c @ catalunya) @ paris))) => ((c @ spain) @ paris))))))))),inference(assume_negation,[status(cth)],[con])).
% 2.91/3.15 thf(ax1527, axiom, (~(p7)|p44), file('<stdin>', ax1527)).
% 2.91/3.15 thf(ax1564, axiom, (p1|~(p8)), file('<stdin>', ax1564)).
% 2.91/3.15 thf(ax1571, axiom, ~(p1), file('<stdin>', ax1571)).
% 2.91/3.15 thf(ax1528, axiom, (~(p44)|p43), file('<stdin>', ax1528)).
% 2.91/3.15 thf(ax1565, axiom, p7, file('<stdin>', ax1565)).
% 2.91/3.15 thf(ax1563, axiom, (p8|~(p9)), file('<stdin>', ax1563)).
% 2.91/3.15 thf(ax1529, axiom, (~(p43)|~(p10)|~(p14)), file('<stdin>', ax1529)).
% 2.91/3.15 thf(ax1546, axiom, (~(p4)|p30), file('<stdin>', ax1546)).
% 2.91/3.15 thf(ax1530, axiom, (~(p5)|p42), file('<stdin>', ax1530)).
% 2.91/3.15 thf(ax1562, axiom, (p9|p10), file('<stdin>', ax1562)).
% 2.91/3.15 thf(ax1520, axiom, (~(p6)|p51), file('<stdin>', ax1520)).
% 2.91/3.15 thf(ax1118, axiom, (~(p30)|p340), file('<stdin>', ax1118)).
% 2.91/3.15 thf(ax1568, axiom, p4, file('<stdin>', ax1568)).
% 2.91/3.15 thf(ax1531, axiom, (~(p42)|p41), file('<stdin>', ax1531)).
% 2.91/3.15 thf(ax1567, axiom, p5, file('<stdin>', ax1567)).
% 2.91/3.15 thf(ax1119, axiom, (~(p340)|~(p51)|p339), file('<stdin>', ax1119)).
% 2.91/3.15 thf(ax1566, axiom, p6, file('<stdin>', ax1566)).
% 2.91/3.15 thf(ax1532, axiom, (~(p41)|~(p10)|~(p16)), file('<stdin>', ax1532)).
% 2.91/3.15 thf(ax1510, axiom, (~(p53)|p64), file('<stdin>', ax1510)).
% 2.91/3.15 thf(ax1518, axiom, (p14|p53), file('<stdin>', ax1518)).
% 2.91/3.15 thf(ax1114, axiom, (~(p344)|~(p10)|~(p18)), file('<stdin>', ax1114)).
% 2.91/3.15 thf(ax1113, axiom, (~(p339)|p344), file('<stdin>', ax1113)).
% 2.91/3.15 thf(ax1511, axiom, (~(p64)|p63|p18), file('<stdin>', ax1511)).
% 2.91/3.15 thf(nax16, axiom, (p16<=(~((![X53:reg]:(fc @ X53 @ fcatalunya=>fc @ X53 @ fspain)=>![X53:reg]:(fc @ X53 @ fspain=>fc @ X53 @ fcatalunya)))=>![X53:reg]:(~((fc @ X53 @ fcatalunya=>~(![X5:reg]:(![X25:reg]:(fc @ X25 @ X5=>fc @ X25 @ X53)=>~(![X25:reg]:(fc @ X25 @ X5=>fc @ X25 @ fcatalunya))))))=>(fc @ X53 @ fspain=>~(![X5:reg]:(![X25:reg]:(fc @ X25 @ X5=>fc @ X25 @ X53)=>~(![X25:reg]:(fc @ X25 @ X5=>fc @ X25 @ fspain)))))))), file('<stdin>', nax16)).
% 2.91/3.15 thf(ax1555, axiom, (~(p3)|p21), file('<stdin>', ax1555)).
% 2.91/3.15 thf(ax1554, axiom, (~(p3)|p22), file('<stdin>', ax1554)).
% 2.91/3.15 thf(pax38, axiom, (p38=>fc @ fparis @ fcatalunya), file('<stdin>', pax38)).
% 2.91/3.15 thf(ax1535, axiom, (~(p21)|p39), file('<stdin>', ax1535)).
% 2.91/3.15 thf(ax1569, axiom, p3, file('<stdin>', ax1569)).
% 2.91/3.15 thf(ax1512, axiom, (~(p63)|~(p13)|~(p62)), file('<stdin>', ax1512)).
% 2.91/3.15 thf(ax1537, axiom, (~(p22)|p37), file('<stdin>', ax1537)).
% 2.91/3.15 thf(nax35, axiom, (p35<=fc @ fparis @ fspain), file('<stdin>', nax35)).
% 2.91/3.15 thf(ax1536, axiom, (~(p39)|~(p12)|p38), file('<stdin>', ax1536)).
% 2.91/3.15 thf(ax1504, axiom, (p62|~(p70)), file('<stdin>', ax1504)).
% 2.91/3.15 thf(ax1538, axiom, (~(p37)|~(p35)|p13), file('<stdin>', ax1538)).
% 2.91/3.15 thf(ax1560, axiom, (~(p11)|p12|p13), file('<stdin>', ax1560)).
% 2.91/3.15 thf(ax1561, axiom, (p9|p11), file('<stdin>', ax1561)).
% 2.91/3.15 thf(ax1477, axiom, (~(p60)|p97), file('<stdin>', ax1477)).
% 2.91/3.15 thf(ax1502, axiom, (p18|p60), file('<stdin>', ax1502)).
% 2.91/3.15 thf(ax211, axiom, (~(p97)|~(p91)|~(p865)), file('<stdin>', ax211)).
% 2.91/3.15 thf(ax1483, axiom, (p70|p91), file('<stdin>', ax1483)).
% 2.91/3.15 thf(ax1482, axiom, (p70|p92), file('<stdin>', ax1482)).
% 2.91/3.15 thf(pax92, axiom, (p92=>![X39:reg]:(fc @ X39 @ f__7=>fc @ X39 @ fparis)), file('<stdin>', pax92)).
% 2.91/3.15 thf(nax865, axiom, (p865<=![X4:reg]:(fc @ X4 @ f__7=>fc @ X4 @ ffrance)), file('<stdin>', nax865)).
% 2.91/3.15 thf(nax14, axiom, (p14<=(~((![X55:reg]:(fc @ X55 @ fparis=>fc @ X55 @ ffrance)=>![X55:reg]:(fc @ X55 @ ffrance=>fc @ X55 @ fparis)))=>~(![X55:reg]:(~((fc @ X55 @ fparis=>~(![X5:reg]:(![X25:reg]:(fc @ X25 @ X5=>fc @ X25 @ X55)=>~(![X25:reg]:(fc @ X25 @ X5=>fc @ X25 @ fparis))))))=>(fc @ X55 @ ffrance=>~(![X5:reg]:(![X25:reg]:(fc @ X25 @ X5=>fc @ X25 @ X55)=>~(![X25:reg]:(fc @ X25 @ X5=>fc @ X25 @ ffrance))))))))), file('<stdin>', nax14)).
% 2.91/3.15 thf(c_0_45, plain, (~p7|p44), inference(fof_simplification,[status(thm)],[ax1527])).
% 2.91/3.15 thf(c_0_46, plain, (p1|~p8), inference(fof_simplification,[status(thm)],[ax1564])).
% 2.91/3.15 thf(c_0_47, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1571])).
% 2.91/3.15 thf(c_0_48, plain, (~p44|p43), inference(fof_simplification,[status(thm)],[ax1528])).
% 2.91/3.15 thf(c_0_49, plain, (p44|~p7), inference(split_conjunct,[status(thm)],[c_0_45])).
% 2.91/3.15 thf(c_0_50, plain, p7, inference(split_conjunct,[status(thm)],[ax1565])).
% 2.91/3.15 thf(c_0_51, plain, (p8|~p9), inference(fof_simplification,[status(thm)],[ax1563])).
% 2.91/3.15 thf(c_0_52, plain, (p1|~p8), inference(split_conjunct,[status(thm)],[c_0_46])).
% 2.91/3.15 thf(c_0_53, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_47])).
% 2.91/3.15 thf(c_0_54, plain, (~p43|~p10|~p14), inference(fof_simplification,[status(thm)],[ax1529])).
% 2.91/3.15 thf(c_0_55, plain, (p43|~p44), inference(split_conjunct,[status(thm)],[c_0_48])).
% 2.91/3.15 thf(c_0_56, plain, p44, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_50])])).
% 2.91/3.15 thf(c_0_57, plain, (p8|~p9), inference(split_conjunct,[status(thm)],[c_0_51])).
% 2.91/3.15 thf(c_0_58, plain, ~p8, inference(sr,[status(thm)],[c_0_52, c_0_53])).
% 2.91/3.15 thf(c_0_59, plain, (~p4|p30), inference(fof_simplification,[status(thm)],[ax1546])).
% 2.91/3.15 thf(c_0_60, plain, (~p5|p42), inference(fof_simplification,[status(thm)],[ax1530])).
% 2.91/3.15 thf(c_0_61, plain, (~p43|~p10|~p14), inference(split_conjunct,[status(thm)],[c_0_54])).
% 2.91/3.15 thf(c_0_62, plain, p43, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55, c_0_56])])).
% 2.91/3.15 thf(c_0_63, plain, (p9|p10), inference(split_conjunct,[status(thm)],[ax1562])).
% 2.91/3.15 thf(c_0_64, plain, ~p9, inference(sr,[status(thm)],[c_0_57, c_0_58])).
% 2.91/3.15 thf(c_0_65, plain, (~p6|p51), inference(fof_simplification,[status(thm)],[ax1520])).
% 2.91/3.15 thf(c_0_66, plain, (~p30|p340), inference(fof_simplification,[status(thm)],[ax1118])).
% 2.91/3.15 thf(c_0_67, plain, (p30|~p4), inference(split_conjunct,[status(thm)],[c_0_59])).
% 2.91/3.15 thf(c_0_68, plain, p4, inference(split_conjunct,[status(thm)],[ax1568])).
% 2.91/3.15 thf(c_0_69, plain, (~p42|p41), inference(fof_simplification,[status(thm)],[ax1531])).
% 2.91/3.15 thf(c_0_70, plain, (p42|~p5), inference(split_conjunct,[status(thm)],[c_0_60])).
% 2.91/3.15 thf(c_0_71, plain, p5, inference(split_conjunct,[status(thm)],[ax1567])).
% 2.91/3.15 thf(c_0_72, plain, (~p10|~p14), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_62])])).
% 2.91/3.15 thf(c_0_73, plain, p10, inference(sr,[status(thm)],[c_0_63, c_0_64])).
% 2.91/3.15 thf(c_0_74, plain, (~p340|~p51|p339), inference(fof_simplification,[status(thm)],[ax1119])).
% 2.91/3.15 thf(c_0_75, plain, (p51|~p6), inference(split_conjunct,[status(thm)],[c_0_65])).
% 2.91/3.15 thf(c_0_76, plain, p6, inference(split_conjunct,[status(thm)],[ax1566])).
% 2.91/3.15 thf(c_0_77, plain, (p340|~p30), inference(split_conjunct,[status(thm)],[c_0_66])).
% 2.91/3.15 thf(c_0_78, plain, p30, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_68])])).
% 2.91/3.15 thf(c_0_79, plain, (~p41|~p10|~p16), inference(fof_simplification,[status(thm)],[ax1532])).
% 2.91/3.15 thf(c_0_80, plain, (p41|~p42), inference(split_conjunct,[status(thm)],[c_0_69])).
% 2.91/3.15 thf(c_0_81, plain, p42, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70, c_0_71])])).
% 2.91/3.15 thf(c_0_82, plain, (~p53|p64), inference(fof_simplification,[status(thm)],[ax1510])).
% 2.91/3.15 thf(c_0_83, plain, (p14|p53), inference(split_conjunct,[status(thm)],[ax1518])).
% 2.91/3.15 thf(c_0_84, plain, ~p14, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72, c_0_73])])).
% 2.91/3.15 thf(c_0_85, plain, (~p344|~p10|~p18), inference(fof_simplification,[status(thm)],[ax1114])).
% 2.91/3.15 thf(c_0_86, plain, (~p339|p344), inference(fof_simplification,[status(thm)],[ax1113])).
% 2.91/3.15 thf(c_0_87, plain, (p339|~p340|~p51), inference(split_conjunct,[status(thm)],[c_0_74])).
% 2.91/3.15 thf(c_0_88, plain, p51, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_76])])).
% 2.91/3.15 thf(c_0_89, plain, p340, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_78])])).
% 2.91/3.15 thf(c_0_90, plain, (~p41|~p10|~p16), inference(split_conjunct,[status(thm)],[c_0_79])).
% 2.91/3.15 thf(c_0_91, plain, p41, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80, c_0_81])])).
% 2.91/3.15 thf(c_0_92, plain, (~p64|p63|p18), inference(fof_simplification,[status(thm)],[ax1511])).
% 2.91/3.15 thf(c_0_93, plain, (p64|~p53), inference(split_conjunct,[status(thm)],[c_0_82])).
% 2.91/3.15 thf(c_0_94, plain, p53, inference(sr,[status(thm)],[c_0_83, c_0_84])).
% 2.91/3.15 thf(c_0_95, plain, (~p344|~p10|~p18), inference(split_conjunct,[status(thm)],[c_0_85])).
% 2.91/3.15 thf(c_0_96, plain, (p344|~p339), inference(split_conjunct,[status(thm)],[c_0_86])).
% 2.91/3.15 thf(c_0_97, plain, p339, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_87, c_0_88]), c_0_89])])).
% 2.91/3.15 thf(c_0_98, plain, ![X2952:reg, X2955:reg, X2958:reg]:(((~fc @ X2952 @ fcatalunya|fc @ X2952 @ fspain|p16)&((fc @ esk1444_0 @ fspain|p16)&(~fc @ esk1444_0 @ fcatalunya|p16)))&(((fc @ esk1445_0 @ fcatalunya|p16)&(((fc @ (esk1447_1 @ X2955) @ X2955|fc @ (esk1446_1 @ X2955) @ X2955|p16)&(~fc @ (esk1447_1 @ X2955) @ fcatalunya|fc @ (esk1446_1 @ X2955) @ X2955|p16))&((fc @ (esk1447_1 @ X2955) @ X2955|~fc @ (esk1446_1 @ X2955) @ esk1445_0|p16)&(~fc @ (esk1447_1 @ X2955) @ fcatalunya|~fc @ (esk1446_1 @ X2955) @ esk1445_0|p16))))&((fc @ esk1445_0 @ fspain|p16)&(((fc @ (esk1449_1 @ X2958) @ X2958|fc @ (esk1448_1 @ X2958) @ X2958|p16)&(~fc @ (esk1449_1 @ X2958) @ fspain|fc @ (esk1448_1 @ X2958) @ X2958|p16))&((fc @ (esk1449_1 @ X2958) @ X2958|~fc @ (esk1448_1 @ X2958) @ esk1445_0|p16)&(~fc @ (esk1449_1 @ X2958) @ fspain|~fc @ (esk1448_1 @ X2958) @ esk1445_0|p16)))))), 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)],[nax16])])])])])])).
% 2.91/3.15 thf(c_0_99, plain, (~p10|~p16), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90, c_0_91])])).
% 2.91/3.15 thf(c_0_100, plain, (~p3|p21), inference(fof_simplification,[status(thm)],[ax1555])).
% 2.91/3.15 thf(c_0_101, plain, (p63|p18|~p64), inference(split_conjunct,[status(thm)],[c_0_92])).
% 2.91/3.15 thf(c_0_102, plain, p64, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93, c_0_94])])).
% 2.91/3.15 thf(c_0_103, plain, (~p18|~p344), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95, c_0_73])])).
% 2.91/3.15 thf(c_0_104, plain, p344, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96, c_0_97])])).
% 2.91/3.15 thf(c_0_105, plain, (~p3|p22), inference(fof_simplification,[status(thm)],[ax1554])).
% 2.91/3.15 thf(c_0_106, plain, ![X2:reg]:(fc @ X2 @ fspain|p16|~fc @ X2 @ fcatalunya), inference(split_conjunct,[status(thm)],[c_0_98])).
% 2.91/3.15 thf(c_0_107, plain, ~p16, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99, c_0_73])])).
% 2.91/3.15 thf(c_0_108, plain, (~p38|fc @ fparis @ fcatalunya), inference(fof_nnf,[status(thm)],[pax38])).
% 2.91/3.15 thf(c_0_109, plain, (~p21|p39), inference(fof_simplification,[status(thm)],[ax1535])).
% 2.91/3.15 thf(c_0_110, plain, (p21|~p3), inference(split_conjunct,[status(thm)],[c_0_100])).
% 2.91/3.15 thf(c_0_111, plain, p3, inference(split_conjunct,[status(thm)],[ax1569])).
% 2.91/3.15 thf(c_0_112, plain, (~p63|~p13|~p62), inference(fof_simplification,[status(thm)],[ax1512])).
% 2.91/3.15 thf(c_0_113, plain, (p63|p18), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101, c_0_102])])).
% 2.91/3.15 thf(c_0_114, plain, ~p18, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103, c_0_104])])).
% 2.91/3.15 thf(c_0_115, plain, (~p22|p37), inference(fof_simplification,[status(thm)],[ax1537])).
% 2.91/3.15 thf(c_0_116, plain, (p22|~p3), inference(split_conjunct,[status(thm)],[c_0_105])).
% 2.91/3.15 thf(c_0_117, plain, (~fc @ fparis @ fspain|p35), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax35])])).
% 2.91/3.15 thf(c_0_118, plain, ![X2:reg]:(fc @ X2 @ fspain|~fc @ X2 @ fcatalunya), inference(sr,[status(thm)],[c_0_106, c_0_107])).
% 2.91/3.15 thf(c_0_119, plain, (fc @ fparis @ fcatalunya|~p38), inference(split_conjunct,[status(thm)],[c_0_108])).
% 2.91/3.15 thf(c_0_120, plain, (~p39|~p12|p38), inference(fof_simplification,[status(thm)],[ax1536])).
% 2.91/3.15 thf(c_0_121, plain, (p39|~p21), inference(split_conjunct,[status(thm)],[c_0_109])).
% 2.91/3.15 thf(c_0_122, plain, p21, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110, c_0_111])])).
% 2.91/3.15 thf(c_0_123, plain, (~p63|~p13|~p62), inference(split_conjunct,[status(thm)],[c_0_112])).
% 2.91/3.15 thf(c_0_124, plain, p63, inference(sr,[status(thm)],[c_0_113, c_0_114])).
% 2.91/3.15 thf(c_0_125, plain, (p62|~p70), inference(fof_simplification,[status(thm)],[ax1504])).
% 2.91/3.15 thf(c_0_126, plain, (~p37|~p35|p13), inference(fof_simplification,[status(thm)],[ax1538])).
% 2.91/3.15 thf(c_0_127, plain, (p37|~p22), inference(split_conjunct,[status(thm)],[c_0_115])).
% 2.91/3.15 thf(c_0_128, plain, p22, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116, c_0_111])])).
% 2.91/3.15 thf(c_0_129, plain, (p35|~fc @ fparis @ fspain), inference(split_conjunct,[status(thm)],[c_0_117])).
% 2.91/3.15 thf(c_0_130, plain, (fc @ fparis @ fspain|~p38), inference(spm,[status(thm)],[c_0_118, c_0_119])).
% 2.91/3.15 thf(c_0_131, plain, (p38|~p39|~p12), inference(split_conjunct,[status(thm)],[c_0_120])).
% 2.91/3.15 thf(c_0_132, plain, p39, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_121, c_0_122])])).
% 2.91/3.15 thf(c_0_133, plain, (~p11|p12|p13), inference(fof_simplification,[status(thm)],[ax1560])).
% 2.91/3.15 thf(c_0_134, plain, (p9|p11), inference(split_conjunct,[status(thm)],[ax1561])).
% 2.91/3.15 thf(c_0_135, plain, (~p60|p97), inference(fof_simplification,[status(thm)],[ax1477])).
% 2.91/3.15 thf(c_0_136, plain, (p18|p60), inference(split_conjunct,[status(thm)],[ax1502])).
% 2.91/3.15 thf(c_0_137, plain, (~p13|~p62), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123, c_0_124])])).
% 2.91/3.15 thf(c_0_138, plain, (p62|~p70), inference(split_conjunct,[status(thm)],[c_0_125])).
% 2.91/3.15 thf(c_0_139, plain, (p13|~p37|~p35), inference(split_conjunct,[status(thm)],[c_0_126])).
% 2.91/3.15 thf(c_0_140, plain, p37, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_127, c_0_128])])).
% 2.91/3.15 thf(c_0_141, plain, (p35|~p38), inference(spm,[status(thm)],[c_0_129, c_0_130])).
% 2.91/3.15 thf(c_0_142, plain, (p38|~p12), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131, c_0_132])])).
% 2.91/3.15 thf(c_0_143, plain, (p12|p13|~p11), inference(split_conjunct,[status(thm)],[c_0_133])).
% 2.91/3.15 thf(c_0_144, plain, p11, inference(sr,[status(thm)],[c_0_134, c_0_64])).
% 2.91/3.15 thf(c_0_145, plain, (~p97|~p91|~p865), inference(fof_simplification,[status(thm)],[ax211])).
% 2.91/3.15 thf(c_0_146, plain, (p97|~p60), inference(split_conjunct,[status(thm)],[c_0_135])).
% 2.91/3.15 thf(c_0_147, plain, p60, inference(sr,[status(thm)],[c_0_136, c_0_114])).
% 2.91/3.15 thf(c_0_148, plain, (~p13|~p70), inference(spm,[status(thm)],[c_0_137, c_0_138])).
% 2.91/3.15 thf(c_0_149, plain, (p70|p91), inference(split_conjunct,[status(thm)],[ax1483])).
% 2.91/3.15 thf(c_0_150, plain, (p13|~p35), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139, c_0_140])])).
% 2.91/3.15 thf(c_0_151, plain, (p35|~p12), inference(spm,[status(thm)],[c_0_141, c_0_142])).
% 2.91/3.15 thf(c_0_152, plain, (p13|p12), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143, c_0_144])])).
% 2.91/3.15 thf(c_0_153, plain, (p70|p92), inference(split_conjunct,[status(thm)],[ax1482])).
% 2.91/3.15 thf(c_0_154, plain, (~p97|~p91|~p865), inference(split_conjunct,[status(thm)],[c_0_145])).
% 2.91/3.15 thf(c_0_155, plain, p97, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146, c_0_147])])).
% 2.91/3.15 thf(c_0_156, plain, (p91|~p13), inference(spm,[status(thm)],[c_0_148, c_0_149])).
% 2.91/3.15 thf(c_0_157, plain, p13, inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150, c_0_151]), c_0_152])).
% 2.91/3.15 thf(c_0_158, plain, ![X2507:reg]:(~p92|(~fc @ X2507 @ f__7|fc @ X2507 @ fparis)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax92])])])).
% 2.91/3.15 thf(c_0_159, plain, (p92|~p13), inference(spm,[status(thm)],[c_0_148, c_0_153])).
% 2.91/3.15 thf(c_0_160, plain, ((fc @ esk140_0 @ f__7|p865)&(~fc @ esk140_0 @ ffrance|p865)), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax865])])])])])).
% 2.91/3.15 thf(c_0_161, plain, (~p91|~p865), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154, c_0_155])])).
% 2.91/3.15 thf(c_0_162, plain, p91, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156, c_0_157])])).
% 2.91/3.15 thf(c_0_163, plain, ![X2990:reg, X2992:reg, X2994:reg, X2995:reg, X2997:reg, X2998:reg]:(((~fc @ X2990 @ fparis|fc @ X2990 @ ffrance|p14)&((fc @ esk1466_0 @ ffrance|p14)&(~fc @ esk1466_0 @ fparis|p14)))&(((~fc @ X2997 @ (esk1468_1 @ X2992)|fc @ X2997 @ X2992|~fc @ X2992 @ ffrance|(~fc @ X2994 @ (esk1467_1 @ X2992)|fc @ X2994 @ X2992|~fc @ X2992 @ fparis)|p14)&(~fc @ X2998 @ (esk1468_1 @ X2992)|fc @ X2998 @ ffrance|~fc @ X2992 @ ffrance|(~fc @ X2994 @ (esk1467_1 @ X2992)|fc @ X2994 @ X2992|~fc @ X2992 @ fparis)|p14))&((~fc @ X2997 @ (esk1468_1 @ X2992)|fc @ X2997 @ X2992|~fc @ X2992 @ ffrance|(~fc @ X2995 @ (esk1467_1 @ X2992)|fc @ X2995 @ fparis|~fc @ X2992 @ fparis)|p14)&(~fc @ X2998 @ (esk1468_1 @ X2992)|fc @ X2998 @ ffrance|~fc @ X2992 @ ffrance|(~fc @ X2995 @ (esk1467_1 @ X2992)|fc @ X2995 @ fparis|~fc @ X2992 @ fparis)|p14)))), 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)],[nax14])])])])])])).
% 2.91/3.15 thf(c_0_164, plain, ![X2:reg]:(fc @ X2 @ fparis|~p92|~fc @ X2 @ f__7), inference(split_conjunct,[status(thm)],[c_0_158])).
% 2.91/3.15 thf(c_0_165, plain, p92, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159, c_0_157])])).
% 2.91/3.15 thf(c_0_166, plain, (fc @ esk140_0 @ f__7|p865), inference(split_conjunct,[status(thm)],[c_0_160])).
% 2.91/3.15 thf(c_0_167, plain, ~p865, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161, c_0_162])])).
% 2.91/3.15 thf(c_0_168, plain, ![X2:reg]:(fc @ X2 @ ffrance|p14|~fc @ X2 @ fparis), inference(split_conjunct,[status(thm)],[c_0_163])).
% 2.91/3.15 thf(c_0_169, plain, ![X2:reg]:(fc @ X2 @ fparis|~fc @ X2 @ f__7), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164, c_0_165])])).
% 2.91/3.15 thf(c_0_170, plain, fc @ esk140_0 @ f__7, inference(sr,[status(thm)],[c_0_166, c_0_167])).
% 2.91/3.15 thf(c_0_171, plain, ![X2:reg]:(fc @ X2 @ ffrance|~fc @ X2 @ fparis), inference(sr,[status(thm)],[c_0_168, c_0_84])).
% 2.91/3.15 thf(c_0_172, plain, fc @ esk140_0 @ fparis, inference(spm,[status(thm)],[c_0_169, c_0_170])).
% 2.91/3.15 thf(c_0_173, plain, (p865|~fc @ esk140_0 @ ffrance), inference(split_conjunct,[status(thm)],[c_0_160])).
% 2.91/3.15 thf(c_0_174, plain, fc @ esk140_0 @ ffrance, inference(spm,[status(thm)],[c_0_171, c_0_172])).
% 2.91/3.15 thf(c_0_175, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173, c_0_174])]), c_0_167]), ['proof']).
% 2.91/3.15 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 2.91/3.15 thf(0,theorem,(![X1:$i]:(![X2:$i]:(((a @ X1) @ X2) => (~(((~(((c @ catalunya) @ paris))) => (~((~(((c @ spain) @ paris))))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 2.91/3.15 % SZS output end Proof
%------------------------------------------------------------------------------