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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : REL017-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:33:46 PM UTC 2026

% Result   : Unsatisfiable 17.37s 3.93s
% Output   : Refutation 20.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  154 ( 136 unt;  18 def)
%            Number of atoms       :  172 ( 148 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   38 (  20   ~;  16   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  21 con; 0-2 aty)
%            Number of variables   :  112 (   0 sgn 112   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).

fof(f2,axiom,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).

fof(f3,axiom,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan_3) ).

fof(f4,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    inference(reorient_equations,[],[f3]) ).

fof(f5,axiom,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).

fof(f6,plain,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    inference(reorient_equations,[],[f5]) ).

fof(f8,axiom,
    ! [X0] : composition(X0,one) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_identity_6) ).

fof(f9,axiom,
    ! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).

fof(f10,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).

fof(f11,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).

fof(f12,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_multiplicativity_10) ).

fof(f13,axiom,
    ! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_cancellativity_11) ).

fof(f14,plain,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    inference(reorient_equations,[],[f13]) ).

fof(f16,axiom,
    ! [X0] : zero = meet(X0,complement(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).

fof(f17,negated_conjecture,
    ( join(join(join(complement(composition(sk1,sk2)),composition(sk1,sk3)),complement(composition(sk1,meet(sk2,complement(sk3))))),composition(sk1,sk3)) != join(complement(composition(sk1,meet(sk2,complement(sk3)))),composition(sk1,sk3))
    | join(join(join(complement(composition(sk1,meet(sk2,complement(sk3)))),composition(sk1,sk3)),complement(composition(sk1,sk2))),composition(sk1,sk3)) != join(complement(composition(sk1,sk2)),composition(sk1,sk3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).

fof(f18,plain,
    ( join(join(join(complement(composition(sk1,sk2)),composition(sk1,sk3)),complement(composition(sk1,meet(sk2,complement(sk3))))),composition(sk1,sk3)) != join(complement(composition(sk1,meet(sk2,complement(sk3)))),composition(sk1,sk3))
    | join(complement(composition(sk1,sk2)),composition(sk1,sk3)) != join(join(join(complement(composition(sk1,meet(sk2,complement(sk3)))),composition(sk1,sk3)),complement(composition(sk1,sk2))),composition(sk1,sk3)) ),
    inference(reorient_equations,[],[f17]) ).

fof(f19,plain,
    ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
    inference(definition_unfolding,[],[f16,f6]) ).

fof(f20,plain,
    ( join(join(join(complement(composition(sk1,sk2)),composition(sk1,sk3)),complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3))))))),composition(sk1,sk3)) != join(complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))),composition(sk1,sk3))
    | join(complement(composition(sk1,sk2)),composition(sk1,sk3)) != join(join(join(complement(composition(sk1,complement(join(complement(sk2),complement(complement(sk3)))))),composition(sk1,sk3)),complement(composition(sk1,sk2))),composition(sk1,sk3)) ),
    inference(definition_unfolding,[],[f18,f6,f6,f6]) ).

fof(f21,definition,
    sF0 = composition(sk1,sk2),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f22,plain,
    composition(sk1,sk2) = sF0,
    inference(reorient_equations,[],[f21]) ).

fof(f23,definition,
    sF1 = complement(sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f24,plain,
    complement(sF0) = sF1,
    inference(reorient_equations,[],[f23]) ).

fof(f25,definition,
    sF2 = composition(sk1,sk3),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f26,plain,
    composition(sk1,sk3) = sF2,
    inference(reorient_equations,[],[f25]) ).

fof(f27,definition,
    sF3 = join(sF1,sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f28,plain,
    join(sF1,sF2) = sF3,
    inference(reorient_equations,[],[f27]) ).

fof(f29,definition,
    sF4 = complement(sk2),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f30,plain,
    complement(sk2) = sF4,
    inference(reorient_equations,[],[f29]) ).

fof(f31,definition,
    sF5 = complement(sk3),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f32,plain,
    complement(sk3) = sF5,
    inference(reorient_equations,[],[f31]) ).

fof(f33,definition,
    sF6 = complement(sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f34,plain,
    complement(sF5) = sF6,
    inference(reorient_equations,[],[f33]) ).

fof(f35,definition,
    sF7 = join(sF4,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f36,plain,
    join(sF4,sF6) = sF7,
    inference(reorient_equations,[],[f35]) ).

fof(f37,definition,
    sF8 = complement(sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f38,plain,
    complement(sF7) = sF8,
    inference(reorient_equations,[],[f37]) ).

fof(f39,definition,
    sF9 = composition(sk1,sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f40,plain,
    composition(sk1,sF8) = sF9,
    inference(reorient_equations,[],[f39]) ).

fof(f41,definition,
    sF10 = complement(sF9),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f42,plain,
    complement(sF9) = sF10,
    inference(reorient_equations,[],[f41]) ).

fof(f43,definition,
    sF11 = join(sF3,sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f44,plain,
    join(sF3,sF10) = sF11,
    inference(reorient_equations,[],[f43]) ).

fof(f45,definition,
    sF12 = join(sF11,sF2),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f46,plain,
    join(sF11,sF2) = sF12,
    inference(reorient_equations,[],[f45]) ).

fof(f47,definition,
    sF13 = join(sF10,sF2),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f48,plain,
    join(sF10,sF2) = sF13,
    inference(reorient_equations,[],[f47]) ).

fof(f49,definition,
    sF14 = join(sF13,sF1),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f50,plain,
    join(sF13,sF1) = sF14,
    inference(reorient_equations,[],[f49]) ).

fof(f51,definition,
    sF15 = join(sF14,sF2),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f52,plain,
    join(sF14,sF2) = sF15,
    inference(reorient_equations,[],[f51]) ).

fof(f53,plain,
    ( sF12 != sF13
    | sF3 != sF15 ),
    inference(definition_folding,[],[f20,f52,f26,f50,f24,f22,f48,f26,f42,f40,f38,f36,f34,f32,f30,f28,f26,f24,f22,f48,f26,f42,f40,f38,f36,f34,f32,f30,f46,f26,f44,f42,f40,f38,f36,f34,f32,f30,f28,f26,f24,f22]) ).

fof(f55,definition,
    ( spl16_1
  <=> sF3 = sF15 ),
    introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).

fof(f57,plain,
    ( sF3 != sF15
    | spl16_1 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f59,definition,
    ( spl16_2
  <=> sF12 = sF13 ),
    introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).

fof(f61,plain,
    ( sF12 != sF13
    | spl16_2 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f62,plain,
    ( ~ spl16_1
    | ~ spl16_2 ),
    inference(avatar_split_clause,[],[f53,f59,f55]) ).

fof(f86,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[],[f12,f10]) ).

fof(f88,plain,
    ! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
    inference(superposition,[],[f9,f12]) ).

fof(f119,plain,
    ! [X0,X1] : join(complement(join(complement(X1),complement(X0))),complement(join(X0,complement(X1)))) = X1,
    inference(superposition,[],[f4,f1]) ).

fof(f120,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(superposition,[],[f4,f1]) ).

fof(f123,plain,
    sF3 = join(sF2,sF1),
    inference(superposition,[],[f28,f1]) ).

fof(f125,plain,
    sF13 = join(sF2,sF10),
    inference(superposition,[],[f48,f1]) ).

fof(f127,plain,
    sF14 = join(sF1,sF13),
    inference(superposition,[],[f50,f1]) ).

fof(f140,plain,
    ! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
    inference(superposition,[],[f2,f4]) ).

fof(f143,plain,
    ! [X0] : join(sF1,join(sF2,X0)) = join(sF3,X0),
    inference(superposition,[],[f2,f28]) ).

fof(f144,plain,
    ! [X0] : join(sF3,join(sF10,X0)) = join(sF11,X0),
    inference(superposition,[],[f2,f44]) ).

fof(f148,plain,
    ! [X0] : join(sF13,join(sF1,X0)) = join(sF14,X0),
    inference(superposition,[],[f2,f50]) ).

fof(f183,plain,
    ! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
    inference(superposition,[],[f88,f12]) ).

fof(f193,plain,
    ! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
    inference(forward_demodulation,[],[f183,f11]) ).

fof(f196,plain,
    ! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
    inference(forward_demodulation,[],[f193,f11]) ).

fof(f198,plain,
    ! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
    inference(forward_demodulation,[],[f196,f12]) ).

fof(f216,plain,
    ! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
    inference(superposition,[],[f10,f198]) ).

fof(f217,plain,
    ! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
    inference(forward_demodulation,[],[f216,f10]) ).

fof(f240,plain,
    ! [X0] : composition(sk1,join(X0,sk2)) = join(composition(sk1,X0),sF0),
    inference(superposition,[],[f217,f22]) ).

fof(f241,plain,
    ! [X0] : composition(sk1,join(X0,sF8)) = join(composition(sk1,X0),sF9),
    inference(superposition,[],[f217,f40]) ).

fof(f466,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(superposition,[],[f86,f8]) ).

fof(f480,plain,
    ! [X0] : composition(converse(one),X0) = X0,
    inference(forward_demodulation,[],[f466,f10]) ).

fof(f502,plain,
    one = converse(one),
    inference(superposition,[],[f8,f480]) ).

fof(f517,plain,
    ! [X0] : composition(one,X0) = X0,
    inference(superposition,[],[f480,f502]) ).

fof(f533,plain,
    ! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
    inference(superposition,[],[f14,f517]) ).

fof(f546,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(X0)),
    inference(forward_demodulation,[],[f533,f480]) ).

fof(f870,plain,
    ! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(complement(join(complement(X0),complement(complement(X1)))),X0),
    inference(superposition,[],[f140,f4]) ).

fof(f873,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(complement(X1)))),X0) = join(X0,complement(join(X1,complement(X0)))),
    inference(superposition,[],[f140,f119]) ).

fof(f874,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
    inference(superposition,[],[f140,f546]) ).

fof(f900,plain,
    ! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
    inference(forward_demodulation,[],[f874,f4]) ).

fof(f901,plain,
    ! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(X0,complement(join(X1,complement(X0)))),
    inference(forward_demodulation,[],[f870,f873]) ).

fof(f919,plain,
    ! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = X0,
    inference(forward_demodulation,[],[f901,f900]) ).

fof(f938,plain,
    ! [X0] : join(X0,complement(complement(X0))) = X0,
    inference(superposition,[],[f900,f900]) ).

fof(f941,plain,
    ! [X0] : join(X0,zero) = X0,
    inference(superposition,[],[f900,f19]) ).

fof(f994,plain,
    ! [X0] : join(zero,X0) = X0,
    inference(superposition,[],[f1,f941]) ).

fof(f1012,plain,
    join(sF11,sF2) = join(sF3,sF13),
    inference(superposition,[],[f144,f48]) ).

fof(f1039,plain,
    sF12 = join(sF3,sF13),
    inference(forward_demodulation,[],[f1012,f46]) ).

fof(f1042,plain,
    join(sF14,sF2) = join(sF13,sF3),
    inference(superposition,[],[f148,f28]) ).

fof(f1069,plain,
    sF15 = join(sF13,sF3),
    inference(forward_demodulation,[],[f1042,f52]) ).

fof(f1085,plain,
    ! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
    inference(superposition,[],[f140,f938]) ).

fof(f1111,plain,
    ! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
    inference(forward_demodulation,[],[f1085,f19]) ).

fof(f1117,plain,
    ! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
    inference(forward_demodulation,[],[f1111,f994]) ).

fof(f1147,plain,
    ! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
    inference(superposition,[],[f120,f1117]) ).

fof(f1153,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
    inference(superposition,[],[f1,f1117]) ).

fof(f1160,plain,
    ! [X0] : complement(complement(X0)) = join(X0,zero),
    inference(superposition,[],[f941,f1117]) ).

fof(f1163,plain,
    ! [X0] : complement(complement(X0)) = X0,
    inference(forward_demodulation,[],[f1160,f941]) ).

fof(f1170,plain,
    ! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
    inference(forward_demodulation,[],[f1147,f1117]) ).

fof(f1189,plain,
    sk2 = complement(sF4),
    inference(superposition,[],[f1163,f30]) ).

fof(f1190,plain,
    sk3 = complement(sF5),
    inference(superposition,[],[f1163,f32]) ).

fof(f1210,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(superposition,[],[f546,f1163]) ).

fof(f1215,plain,
    sk3 = sF6,
    inference(forward_demodulation,[],[f1190,f34]) ).

fof(f1220,plain,
    sF2 = composition(sk1,sF6),
    inference(superposition,[],[f26,f1215]) ).

fof(f1290,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
    inference(superposition,[],[f2,f1210]) ).

fof(f1858,plain,
    sF3 = join(sF1,sF3),
    inference(superposition,[],[f1290,f28]) ).

fof(f1862,plain,
    sF13 = join(sF2,sF13),
    inference(superposition,[],[f1290,f125]) ).

fof(f2611,plain,
    sF15 = join(sF3,sF13),
    inference(superposition,[],[f1,f1069]) ).

fof(f2620,plain,
    sF12 = sF15,
    inference(forward_demodulation,[],[f2611,f1039]) ).

fof(f2624,plain,
    ( sF3 != sF12
    | spl16_1 ),
    inference(superposition,[],[f57,f2620]) ).

fof(f3520,plain,
    join(sF3,sF10) = join(sF1,sF13),
    inference(superposition,[],[f143,f125]) ).

fof(f3522,plain,
    join(sF1,sF13) = join(sF3,sF13),
    inference(superposition,[],[f143,f1862]) ).

fof(f3572,plain,
    sF12 = join(sF1,sF13),
    inference(forward_demodulation,[],[f3522,f1039]) ).

fof(f3574,plain,
    join(sF3,sF10) = sF14,
    inference(forward_demodulation,[],[f3520,f127]) ).

fof(f3582,plain,
    sF12 = sF14,
    inference(forward_demodulation,[],[f3572,f127]) ).

fof(f3583,plain,
    sF11 = sF14,
    inference(forward_demodulation,[],[f3574,f44]) ).

fof(f3591,plain,
    ( sF3 != sF14
    | spl16_1 ),
    inference(superposition,[],[f2624,f3582]) ).

fof(f3592,plain,
    ( sF3 != sF11
    | spl16_1 ),
    inference(forward_demodulation,[],[f3591,f3583]) ).

fof(f3744,plain,
    ! [X0,X1] : join(X0,complement(X1)) = join(complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1))))),complement(complement(X0))),
    inference(superposition,[],[f119,f1170]) ).

fof(f3758,plain,
    ! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(join(X0,complement(X1))),complement(complement(join(X0,X1)))))),
    inference(forward_demodulation,[],[f3744,f1153]) ).

fof(f3841,plain,
    ! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
    inference(forward_demodulation,[],[f3758,f1153]) ).

fof(f3887,plain,
    ! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
    inference(forward_demodulation,[],[f3841,f2]) ).

fof(f3915,plain,
    ! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
    inference(forward_demodulation,[],[f3887,f919]) ).

fof(f3937,plain,
    ! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
    inference(superposition,[],[f3915,f1]) ).

fof(f4290,plain,
    join(sF6,complement(sF4)) = join(sF6,complement(sF7)),
    inference(superposition,[],[f3937,f36]) ).

fof(f4408,plain,
    join(sF6,sF8) = join(sF6,complement(sF4)),
    inference(forward_demodulation,[],[f4290,f38]) ).

fof(f4476,plain,
    join(sF6,sF8) = join(sF6,sk2),
    inference(forward_demodulation,[],[f4408,f1189]) ).

fof(f9372,plain,
    join(composition(sk1,sF6),sF0) = composition(sk1,join(sF6,sF8)),
    inference(superposition,[],[f240,f4476]) ).

fof(f9417,plain,
    join(composition(sk1,sF6),sF0) = join(composition(sk1,sF6),sF9),
    inference(forward_demodulation,[],[f9372,f241]) ).

fof(f9432,plain,
    join(sF2,sF9) = join(sF2,sF0),
    inference(forward_demodulation,[],[f9417,f1220]) ).

fof(f9455,plain,
    join(sF2,complement(sF9)) = join(sF2,complement(join(sF2,sF0))),
    inference(superposition,[],[f3915,f9432]) ).

fof(f9459,plain,
    join(sF2,complement(sF9)) = join(sF2,complement(sF0)),
    inference(forward_demodulation,[],[f9455,f3915]) ).

fof(f9468,plain,
    join(sF2,sF1) = join(sF2,complement(sF9)),
    inference(forward_demodulation,[],[f9459,f24]) ).

fof(f9472,plain,
    join(sF2,sF1) = join(sF2,sF10),
    inference(forward_demodulation,[],[f9468,f42]) ).

fof(f9474,plain,
    sF13 = join(sF2,sF1),
    inference(forward_demodulation,[],[f9472,f125]) ).

fof(f9475,plain,
    sF3 = sF13,
    inference(forward_demodulation,[],[f9474,f123]) ).

fof(f9477,plain,
    sF14 = join(sF1,sF3),
    inference(superposition,[],[f127,f9475]) ).

fof(f9488,plain,
    sF3 = sF14,
    inference(forward_demodulation,[],[f9477,f1858]) ).

fof(f9495,plain,
    sF3 = sF11,
    inference(forward_demodulation,[],[f9488,f3583]) ).

fof(f9496,plain,
    ( $false
    | spl16_1 ),
    inference(forward_subsumption_resolution,[],[f9495,f3592]) ).

fof(f9497,plain,
    spl16_1,
    inference(avatar_contradiction_clause,[],[f9496]) ).

fof(f9499,plain,
    ( sF3 != sF12
    | spl16_2 ),
    inference(forward_demodulation,[],[f61,f9475]) ).

fof(f9503,plain,
    ( sF3 != sF14
    | spl16_2 ),
    inference(forward_demodulation,[],[f9499,f3582]) ).

fof(f9507,plain,
    ( sF3 != sF11
    | spl16_2 ),
    inference(forward_demodulation,[],[f9503,f3583]) ).

fof(f9509,plain,
    ( $false
    | spl16_2 ),
    inference(forward_subsumption_resolution,[],[f9507,f9495]) ).

fof(f9510,plain,
    spl16_2,
    inference(avatar_contradiction_clause,[],[f9509]) ).

cnf(s1,plain,
    ( ~ spl16_1
    | ~ spl16_2 ),
    inference(sat_conversion,[],[f62]) ).

cnf(s4,plain,
    spl16_1,
    inference(sat_conversion,[],[f9497]) ).

cnf(s5,plain,
    spl16_2,
    inference(sat_conversion,[],[f9510]) ).

cnf(s6,plain,
    $false,
    inference(rat,[],[s1,s5,s4]) ).

fof(f9511,plain,
    $false,
    inference(avatar_sat_refutation,[],[s6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : REL017-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.47  % Computer : n002.cluster.edu
% 0.23/0.47  % Model    : x86_64 x86_64
% 0.23/0.47  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.47  % Memory   : 8046.5625MB
% 0.23/0.47  % OS       : Linux 6.8.0-71-generic
% 0.23/0.47  % CPULimit : 300
% 0.23/0.47  % WCLimit  : 300
% 0.23/0.47  % DateTime : Sun Sep 27 22:54:07 UTC 2026
% 0.23/0.47  % CPUTime  : 
% 0.23/0.47  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.26/0.53  Running first-order theorem proving
% 0.26/0.53  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.26/3.88  % (3976266)Input is clausal, will run a generic CNF schedule.
% 18.26/3.88  % (3976274)lrs+10_1_sil=8000:sp=occurrence:random_seed=3384165541:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 18.26/3.88  % (3976271)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3448629488:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 18.26/3.88  % (3976272)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2438344828:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 18.26/3.88  % (3976274)Instruction limit reached! 
% 18.26/3.88  % (3976274)------------------------------
% 18.26/3.88  % (3976274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.26/3.88  % (3976274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.26/3.88  % (3976274)CaDiCaL version: 2.1.3
% 18.26/3.88  % (3976274)Termination reason: Instruction limit
% 18.26/3.88  % (3976274)Termination phase: Saturation
% 18.26/3.88  % (3976274)Time elapsed: 0.061 s
% 18.26/3.88  % (3976274)Peak memory usage: 89 MB
% 18.26/3.88  % (3976274)Instructions burned: 109 (million)
% 18.26/3.88  % (3976273)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3446758066:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 18.26/3.88  % (3976276)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4223369648:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 18.26/3.88  % (3976275)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3712114190:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 18.26/3.88  % (3976277)dis-21_1_sil=8000:lcm=predicate:random_seed=3721082486:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 18.26/3.88  % (3976277)Refutation not found, incomplete strategy
% 18.26/3.88  % (3976277)------------------------------
% 18.26/3.88  % (3976277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.26/3.88  % (3976277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.26/3.88  % (3976277)CaDiCaL version: 2.1.3
% 18.26/3.88  % (3976277)Termination reason: Refutation not found, incomplete strategy
% 18.26/3.88  % (3976277)Time elapsed: 0.003 s
% 18.26/3.88  % (3976277)Peak memory usage: 88 MB
% 18.26/3.88  % (3976277)Instructions burned: 1 (million)
% 18.26/3.88  % (3976275)Instruction limit reached! 
% 18.26/3.88  % (3976275)------------------------------
% 18.26/3.88  % (3976275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.26/3.88  % (3976275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.26/3.88  % (3976275)CaDiCaL version: 2.1.3
% 18.26/3.88  % (3976275)Termination reason: Instruction limit
% 18.26/3.88  % (3976275)Termination phase: Saturation
% 18.26/3.88  % (3976275)Time elapsed: 0.113 s
% 18.26/3.88  % (3976275)Peak memory usage: 89 MB
% 18.26/3.88  % (3976275)Instructions burned: 115 (million)
% 18.26/3.88  % (3976276)Instruction limit reached! 
% 18.26/3.88  % (3976276)------------------------------
% 18.26/3.88  % (3976276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.26/3.88  % (3976276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.26/3.88  % (3976276)CaDiCaL version: 2.1.3
% 18.26/3.88  % (3976276)Termination reason: Instruction limit
% 18.26/3.88  % (3976276)Termination phase: Saturation
% 18.26/3.88  % (3976276)Time elapsed: 0.184 s
% 18.26/3.88  % (3976276)Peak memory usage: 90 MB
% 18.26/3.88  % (3976276)Instructions burned: 180 (million)
% 18.26/3.88  % (3976281)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2478597528:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 18.26/3.88  % (3976281)Refutation not found, incomplete strategy
% 18.26/3.88  % (3976281)------------------------------
% 18.26/3.88  % (3976281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.26/3.88  % (3976281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.26/3.88  % (3976281)CaDiCaL version: 2.1.3
% 18.26/3.88  % (3976281)Termination reason: Refutation not found, incomplete strategy
% 18.26/3.88  % (3976281)Time elapsed: 0.002 s
% 18.26/3.88  % (3976281)Peak memory usage: 88 MB
% 18.26/3.88  % (3976281)Instructions burned: 1 (million)
% 18.26/3.88  % (3976277)------------------------------
% 17.37/3.93  % (3976277)------------------------------
% 17.37/3.93  % (3976286)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=947132007:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 17.37/3.93  % (3976286)Refutation not found, incomplete strategy
% 17.37/3.93  % (3976286)------------------------------
% 17.37/3.93  % (3976286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.37/3.93  % (3976286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/3.93  % (3976286)CaDiCaL version: 2.1.3
% 17.37/3.93  % (3976286)Termination reason: Refutation not found, incomplete strategy
% 17.37/3.93  % (3976286)Time elapsed: 0.004 s
% 17.37/3.93  % (3976286)Peak memory usage: 88 MB
% 17.37/3.93  % (3976286)Instructions burned: 2 (million)
% 17.37/3.93  % (3976281)------------------------------
% 17.37/3.93  % (3976281)------------------------------
% 17.37/3.93  % (3976287)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=632561450:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 17.37/3.93  % (3976287)Refutation not found, incomplete strategy
% 17.37/3.93  % (3976287)------------------------------
% 17.37/3.93  % (3976287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.37/3.93  % (3976287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/3.93  % (3976287)CaDiCaL version: 2.1.3
% 17.37/3.93  % (3976287)Termination reason: Refutation not found, incomplete strategy
% 17.37/3.93  % (3976287)Time elapsed: 0.003 s
% 17.37/3.93  % (3976287)Peak memory usage: 88 MB
% 17.37/3.93  % (3976287)Instructions burned: 1 (million)
% 17.37/3.93  % (3976289)lrs+10_64_to=lpo:sil=8000:random_seed=3335356608:i=126:bd=preordered_2992 on theBenchmark for (2992ds/126Mi)
% 17.37/3.93  % (3976291)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=553911235:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 17.37/3.93  % (3976289)Instruction limit reached! 
% 17.37/3.93  % (3976289)------------------------------
% 17.37/3.93  % (3976289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.37/3.93  % (3976289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/3.93  % (3976286)------------------------------
% 17.37/3.93  % (3976286)------------------------------
% 17.37/3.93  % (3976289)CaDiCaL version: 2.1.3
% 17.37/3.93  % (3976289)Termination reason: Instruction limit
% 17.37/3.93  % (3976289)Termination phase: Saturation
% 17.37/3.93  % (3976289)Time elapsed: 0.131 s
% 17.37/3.93  % (3976289)Peak memory usage: 89 MB
% 17.37/3.93  % (3976289)Instructions burned: 126 (million)
% 17.37/3.93  % (3976291)Instruction limit reached! 
% 17.37/3.93  % (3976291)------------------------------
% 17.37/3.93  % (3976291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.37/3.93  % (3976291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/3.93  % (3976291)CaDiCaL version: 2.1.3
% 17.37/3.93  % (3976291)Termination reason: Instruction limit
% 17.37/3.93  % (3976291)Termination phase: Saturation
% 17.37/3.93  % (3976291)Time elapsed: 0.117 s
% 17.37/3.93  % (3976291)Peak memory usage: 90 MB
% 17.37/3.93  % (3976291)Instructions burned: 195 (million)
% 17.37/3.93  % (3976287)------------------------------
% 17.37/3.93  % (3976287)------------------------------
% 17.37/3.93  % (3976297)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2765980927:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2988 on theBenchmark for (2988ds/106Mi)
% 17.37/3.93  % (3976297)Instruction limit reached! 
% 17.37/3.93  % (3976297)------------------------------
% 17.37/3.93  % (3976297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.37/3.93  % (3976297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/3.93  % (3976297)CaDiCaL version: 2.1.3
% 17.37/3.93  % (3976297)Termination reason: Instruction limit
% 17.37/3.93  % (3976297)Termination phase: Saturation
% 17.37/3.93  % (3976297)Time elapsed: 0.058 s
% 17.37/3.93  % (3976297)Peak memory usage: 89 MB
% 17.37/3.93  % (3976297)Instructions burned: 108 (million)
% 17.37/3.93  % (3976295)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3876410148:i=157:gtg=all_2988 on theBenchmark for (2988ds/157Mi)
% 17.37/3.93  % (3976296)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1316668556:i=3394:sd=4:ss=included:sgt=64_2988 on theBenchmark for (2988ds/3394Mi)
% 17.37/3.93  % (3976298)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2818145230:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 17.37/3.93  % (3976298)Refutation not found, incomplete strategy
% 17.37/3.93  % (3976298)------------------------------
% 17.37/3.93  % (3976298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.37/3.93  % (3976298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/3.93  % (3976298)CaDiCaL version: 2.1.3
% 17.37/3.93  % (3976298)Termination reason: Refutation not found, incomplete strategy
% 17.37/3.93  % (3976298)Time elapsed: 0.003 s
% 17.37/3.93  % (3976298)Peak memory usage: 88 MB
% 17.37/3.93  % (3976298)Instructions burned: 1 (million)
% 17.37/3.93  % (3976295)Instruction limit reached! 
% 17.37/3.93  % (3976295)------------------------------
% 17.37/3.93  % (3976295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.37/3.93  % (3976295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/3.93  % (3976295)CaDiCaL version: 2.1.3
% 17.37/3.93  % (3976295)Termination reason: Instruction limit
% 17.37/3.93  % (3976295)Termination phase: Saturation
% 17.37/3.93  % (3976295)Time elapsed: 0.176 s
% 17.37/3.93  % (3976295)Peak memory usage: 91 MB
% 17.37/3.93  % (3976295)Instructions burned: 158 (million)
% 17.37/3.93  % (3976302)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2525937400:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2985 on theBenchmark for (2985ds/242Mi)
% 17.37/3.93  % (3976302)Instruction limit reached! 
% 17.37/3.93  % (3976302)------------------------------
% 17.37/3.93  % (3976302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.37/3.93  % (3976302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/3.93  % (3976302)CaDiCaL version: 2.1.3
% 17.37/3.93  % (3976302)Termination reason: Instruction limit
% 17.37/3.93  % (3976302)Termination phase: Saturation
% 17.37/3.93  % (3976302)Time elapsed: 0.112 s
% 17.37/3.93  % (3976302)Peak memory usage: 89 MB
% 17.37/3.93  % (3976302)Instructions burned: 243 (million)
% 17.37/3.93  % (3976304)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=221639630:cond=fast:i=5208:av=off_2983 on theBenchmark for (2983ds/5208Mi)
% 17.37/3.93  % (3976298)------------------------------
% 17.37/3.93  % (3976298)------------------------------
% 17.37/3.93  % (3976306)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=275513345:i=134:sd=2:doe=on:ss=axioms:sgt=14_2982 on theBenchmark for (2982ds/134Mi)
% 17.37/3.93  % (3976306)Instruction limit reached! 
% 17.37/3.93  % (3976306)------------------------------
% 17.37/3.93  % (3976306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.37/3.93  % (3976306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/3.93  % (3976306)CaDiCaL version: 2.1.3
% 17.37/3.93  % (3976306)Termination reason: Instruction limit
% 17.37/3.93  % (3976306)Termination phase: Saturation
% 17.37/3.93  % (3976306)Time elapsed: 0.129 s
% 17.37/3.93  % (3976306)Peak memory usage: 89 MB
% 17.37/3.93  % (3976306)Instructions burned: 135 (million)
% 17.37/3.93  % (3976308)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4275165902:i=499:bd=all_2980 on theBenchmark for (2980ds/499Mi)
% 17.37/3.93  % (3976271)First to succeed.
% 17.37/3.93  % (3976271)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3976266"
% 17.37/3.93  % (3976311)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4238636844:i=191:fgj=on:bd=all_2977 on theBenchmark for (2977ds/191Mi)
% 17.37/3.93  % (3976311)Instruction limit reached! 
% 17.37/3.93  % (3976311)------------------------------
% 17.37/3.93  % (3976311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.37/3.93  % (3976311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/3.93  % (3976311)CaDiCaL version: 2.1.3
% 17.37/3.93  % (3976311)Termination reason: Instruction limit
% 17.37/3.93  % (3976311)Termination phase: Saturation
% 17.37/3.93  % (3976311)Time elapsed: 0.205 s
% 17.37/3.93  % (3976311)Peak memory usage: 90 MB
% 17.37/3.93  % (3976311)Instructions burned: 191 (million)
% 17.37/3.93  % (3976308)Instruction limit reached! 
% 17.37/3.93  % (3976308)------------------------------
% 17.37/3.93  % (3976308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.37/3.93  % (3976308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.37/3.93  % (3976308)CaDiCaL version: 2.1.3
% 17.37/3.93  % (3976308)Termination reason: Instruction limit
% 17.37/3.93  % (3976308)Termination phase: Saturation
% 17.37/3.93  % (3976308)Time elapsed: 0.544 s
% 17.37/3.93  % (3976308)Peak memory usage: 94 MB
% 17.37/3.93  % (3976308)Instructions burned: 500 (million)
% 17.37/3.93  % (3976271)Refutation found. Thanks to Tanya!
% 17.37/3.93  % SZS status Unsatisfiable for theBenchmark
% 17.37/3.93  % SZS output start Proof for theBenchmark
% See solution above
% 20.63/4.27  % (3976271)------------------------------
% 20.63/4.27  % (3976271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.63/4.27  % (3976271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.63/4.27  % (3976271)CaDiCaL version: 2.1.3
% 20.63/4.27  % (3976271)Termination reason: Refutation
% 20.63/4.27  % (3976271)Time elapsed: 2.097 s
% 20.63/4.27  % (3976271)Peak memory usage: 137 MB
% 20.63/4.27  % (3976271)Instructions burned: 1915 (million)
% 20.63/4.27  % (3976271)------------------------------
% 20.63/4.27  % (3976271)------------------------------
% 20.63/4.27  % (3976266)Success in time 2.805 s
% 20.63/4.27  % Vampire exiting
%------------------------------------------------------------------------------