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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : REL017+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.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   : Theorem 8.63s 2.09s
% Output   : Refutation 9.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   47
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  159 ( 139 unt;  18 def)
%            Number of atoms       :  179 ( 156 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   42 (  22   ~;  16   |;   2   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   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   :  136 (   0 sgn 133   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).

fof(f2,axiom,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).

fof(f3,axiom,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).

fof(f4,axiom,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).

fof(f6,axiom,
    ! [X0] : composition(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).

fof(f7,axiom,
    ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).

fof(f8,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).

fof(f9,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).

fof(f10,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).

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

fof(f13,axiom,
    ! [X0] : zero = meet(X0,complement(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).

fof(f17,conjecture,
    ! [X0,X1,X2] :
      ( join(join(join(complement(composition(X0,X1)),composition(X0,X2)),complement(composition(X0,meet(X1,complement(X2))))),composition(X0,X2)) = join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2))
      & join(join(join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2)),complement(composition(X0,X1))),composition(X0,X2)) = join(complement(composition(X0,X1)),composition(X0,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( join(join(join(complement(composition(X0,X1)),composition(X0,X2)),complement(composition(X0,meet(X1,complement(X2))))),composition(X0,X2)) = join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2))
        & join(join(join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2)),complement(composition(X0,X1))),composition(X0,X2)) = join(complement(composition(X0,X1)),composition(X0,X2)) ),
    inference(negated_conjecture,[status(cth)],[f17]) ).

fof(f19,plain,
    ? [X0,X1,X2] :
      ( join(join(join(complement(composition(X0,X1)),composition(X0,X2)),complement(composition(X0,meet(X1,complement(X2))))),composition(X0,X2)) != join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2))
      | join(complement(composition(X0,X1)),composition(X0,X2)) != join(join(join(complement(composition(X0,meet(X1,complement(X2)))),composition(X0,X2)),complement(composition(X0,X1))),composition(X0,X2)) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f20,plain,
    ( join(join(join(complement(composition(sK0,sK1)),composition(sK0,sK2)),complement(composition(sK0,meet(sK1,complement(sK2))))),composition(sK0,sK2)) != join(complement(composition(sK0,meet(sK1,complement(sK2)))),composition(sK0,sK2))
    | join(complement(composition(sK0,sK1)),composition(sK0,sK2)) != join(join(join(complement(composition(sK0,meet(sK1,complement(sK2)))),composition(sK0,sK2)),complement(composition(sK0,sK1))),composition(sK0,sK2)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).

fof(f21,plain,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f22,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    inference(cnf_transformation,[],[f2]) ).

fof(f23,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f24,plain,
    ! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    inference(cnf_transformation,[],[f4]) ).

fof(f26,plain,
    ! [X0] : composition(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f27,plain,
    ! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    inference(cnf_transformation,[],[f7]) ).

fof(f28,plain,
    ! [X0] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[],[f8]) ).

fof(f29,plain,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    inference(cnf_transformation,[],[f9]) ).

fof(f30,plain,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    inference(cnf_transformation,[],[f10]) ).

fof(f31,plain,
    ! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
    inference(cnf_transformation,[],[f11]) ).

fof(f33,plain,
    ! [X0] : zero = meet(X0,complement(X0)),
    inference(cnf_transformation,[],[f13]) ).

fof(f37,plain,
    ( join(join(join(complement(composition(sK0,sK1)),composition(sK0,sK2)),complement(composition(sK0,meet(sK1,complement(sK2))))),composition(sK0,sK2)) != join(complement(composition(sK0,meet(sK1,complement(sK2)))),composition(sK0,sK2))
    | join(complement(composition(sK0,sK1)),composition(sK0,sK2)) != join(join(join(complement(composition(sK0,meet(sK1,complement(sK2)))),composition(sK0,sK2)),complement(composition(sK0,sK1))),composition(sK0,sK2)) ),
    inference(cnf_transformation,[],[f20]) ).

fof(f38,plain,
    ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
    inference(definition_unfolding,[],[f33,f24]) ).

fof(f42,plain,
    ( join(join(join(complement(composition(sK0,sK1)),composition(sK0,sK2)),complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2))))))),composition(sK0,sK2)) != join(complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2)))))),composition(sK0,sK2))
    | join(complement(composition(sK0,sK1)),composition(sK0,sK2)) != join(join(join(complement(composition(sK0,complement(join(complement(sK1),complement(complement(sK2)))))),composition(sK0,sK2)),complement(composition(sK0,sK1))),composition(sK0,sK2)) ),
    inference(definition_unfolding,[],[f37,f24,f24,f24]) ).

fof(f43,definition,
    sF3 = composition(sK0,sK1),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f44,plain,
    composition(sK0,sK1) = sF3,
    inference(reorient_equations,[],[f43]) ).

fof(f45,definition,
    sF4 = complement(sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f46,plain,
    complement(sF3) = sF4,
    inference(reorient_equations,[],[f45]) ).

fof(f47,definition,
    sF5 = composition(sK0,sK2),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f48,plain,
    composition(sK0,sK2) = sF5,
    inference(reorient_equations,[],[f47]) ).

fof(f49,definition,
    sF6 = join(sF4,sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f50,plain,
    join(sF4,sF5) = sF6,
    inference(reorient_equations,[],[f49]) ).

fof(f51,definition,
    sF7 = complement(sK1),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f52,plain,
    complement(sK1) = sF7,
    inference(reorient_equations,[],[f51]) ).

fof(f53,definition,
    sF8 = complement(sK2),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f54,plain,
    complement(sK2) = sF8,
    inference(reorient_equations,[],[f53]) ).

fof(f55,definition,
    sF9 = complement(sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f56,plain,
    complement(sF8) = sF9,
    inference(reorient_equations,[],[f55]) ).

fof(f57,definition,
    sF10 = join(sF7,sF9),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f58,plain,
    join(sF7,sF9) = sF10,
    inference(reorient_equations,[],[f57]) ).

fof(f59,definition,
    sF11 = complement(sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f60,plain,
    complement(sF10) = sF11,
    inference(reorient_equations,[],[f59]) ).

fof(f61,definition,
    sF12 = composition(sK0,sF11),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f62,plain,
    composition(sK0,sF11) = sF12,
    inference(reorient_equations,[],[f61]) ).

fof(f63,definition,
    sF13 = complement(sF12),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f64,plain,
    complement(sF12) = sF13,
    inference(reorient_equations,[],[f63]) ).

fof(f65,definition,
    sF14 = join(sF6,sF13),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f66,plain,
    join(sF6,sF13) = sF14,
    inference(reorient_equations,[],[f65]) ).

fof(f67,definition,
    sF15 = join(sF14,sF5),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f68,plain,
    join(sF14,sF5) = sF15,
    inference(reorient_equations,[],[f67]) ).

fof(f69,definition,
    sF16 = join(sF13,sF5),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f70,plain,
    join(sF13,sF5) = sF16,
    inference(reorient_equations,[],[f69]) ).

fof(f71,definition,
    sF17 = join(sF16,sF4),
    introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).

fof(f72,plain,
    join(sF16,sF4) = sF17,
    inference(reorient_equations,[],[f71]) ).

fof(f73,definition,
    sF18 = join(sF17,sF5),
    introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).

fof(f74,plain,
    join(sF17,sF5) = sF18,
    inference(reorient_equations,[],[f73]) ).

fof(f75,plain,
    ( sF15 != sF16
    | sF6 != sF18 ),
    inference(definition_folding,[],[f42,f74,f48,f72,f46,f44,f70,f48,f64,f62,f60,f58,f56,f54,f52,f50,f48,f46,f44,f70,f48,f64,f62,f60,f58,f56,f54,f52,f68,f48,f66,f64,f62,f60,f58,f56,f54,f52,f50,f48,f46,f44]) ).

fof(f77,definition,
    ( spl19_1
  <=> sF6 = sF18 ),
    introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).

fof(f79,plain,
    ( sF6 != sF18
    | spl19_1 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f81,definition,
    ( spl19_2
  <=> sF15 = sF16 ),
    introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).

fof(f83,plain,
    ( sF15 != sF16
    | spl19_2 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f84,plain,
    ( ~ spl19_1
    | ~ spl19_2 ),
    inference(avatar_split_clause,[],[f75,f81,f77]) ).

fof(f108,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[],[f30,f28]) ).

fof(f110,plain,
    ! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
    inference(superposition,[],[f27,f30]) ).

fof(f159,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X1),X0))) = X1,
    inference(superposition,[],[f23,f21]) ).

fof(f165,plain,
    sF6 = join(sF5,sF4),
    inference(superposition,[],[f50,f21]) ).

fof(f166,plain,
    sF14 = join(sF13,sF6),
    inference(superposition,[],[f66,f21]) ).

fof(f168,plain,
    sF15 = join(sF5,sF14),
    inference(superposition,[],[f68,f21]) ).

fof(f169,plain,
    sF17 = join(sF4,sF16),
    inference(superposition,[],[f72,f21]) ).

fof(f170,plain,
    sF18 = join(sF5,sF17),
    inference(superposition,[],[f74,f21]) ).

fof(f184,plain,
    ! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
    inference(superposition,[],[f110,f30]) ).

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,[],[f184,f29]) ).

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,f29]) ).

fof(f198,plain,
    ! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
    inference(forward_demodulation,[],[f196,f30]) ).

fof(f211,plain,
    ! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
    inference(superposition,[],[f28,f198]) ).

fof(f222,plain,
    ! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
    inference(forward_demodulation,[],[f211,f28]) ).

fof(f237,plain,
    ! [X0] : composition(sK0,join(sK1,X0)) = join(sF3,composition(sK0,X0)),
    inference(superposition,[],[f222,f44]) ).

fof(f242,plain,
    ! [X0] : composition(sK0,join(X0,sF11)) = join(composition(sK0,X0),sF12),
    inference(superposition,[],[f222,f62]) ).

fof(f366,plain,
    ! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),complement(X1))),join(complement(join(complement(X0),X1)),X2)),
    inference(superposition,[],[f22,f23]) ).

fof(f384,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
    inference(superposition,[],[f21,f22]) ).

fof(f686,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(superposition,[],[f108,f26]) ).

fof(f700,plain,
    ! [X0] : composition(converse(one),X0) = X0,
    inference(forward_demodulation,[],[f686,f28]) ).

fof(f722,plain,
    one = converse(one),
    inference(superposition,[],[f26,f700]) ).

fof(f737,plain,
    ! [X0] : composition(one,X0) = X0,
    inference(superposition,[],[f700,f722]) ).

fof(f834,plain,
    ! [X0] : complement(X0) = join(composition(converse(one),complement(X0)),complement(X0)),
    inference(superposition,[],[f31,f737]) ).

fof(f847,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(X0)),
    inference(forward_demodulation,[],[f834,f700]) ).

fof(f868,plain,
    ! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(X0,complement(join(complement(X0),X1))),
    inference(superposition,[],[f366,f847]) ).

fof(f875,plain,
    ! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
    inference(forward_demodulation,[],[f868,f23]) ).

fof(f897,plain,
    ! [X0] : join(X0,complement(complement(X0))) = X0,
    inference(superposition,[],[f875,f875]) ).

fof(f900,plain,
    ! [X0] : join(X0,zero) = X0,
    inference(superposition,[],[f875,f38]) ).

fof(f904,plain,
    ! [X2,X0,X1] : join(X1,X0) = join(complement(join(complement(X0),X2)),join(X1,X0)),
    inference(superposition,[],[f384,f875]) ).

fof(f951,plain,
    ! [X0] : join(zero,X0) = X0,
    inference(superposition,[],[f21,f900]) ).

fof(f988,plain,
    ! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(complement(join(complement(X0),complement(complement(X0)))),X1)),
    inference(superposition,[],[f366,f897]) ).

fof(f1008,plain,
    ! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(zero,X1)),
    inference(forward_demodulation,[],[f988,f38]) ).

fof(f1014,plain,
    ! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
    inference(forward_demodulation,[],[f1008,f951]) ).

fof(f1019,plain,
    ! [X0] : join(sK1,X0) = join(complement(sF7),X0),
    inference(superposition,[],[f1014,f52]) ).

fof(f1042,plain,
    ! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
    inference(superposition,[],[f875,f1014]) ).

fof(f1052,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,complement(complement(X0)))),
    inference(superposition,[],[f384,f1014]) ).

fof(f1058,plain,
    ! [X0] : complement(complement(X0)) = join(X0,zero),
    inference(superposition,[],[f900,f1014]) ).

fof(f1059,plain,
    ! [X0] : complement(complement(X0)) = X0,
    inference(forward_demodulation,[],[f1058,f900]) ).

fof(f1087,plain,
    sK2 = complement(sF8),
    inference(superposition,[],[f1059,f54]) ).

fof(f1100,plain,
    ! [X0,X1] : complement(X0) = join(complement(join(complement(X1),X0)),complement(join(X0,X1))),
    inference(superposition,[],[f159,f1059]) ).

fof(f1114,plain,
    sK2 = sF9,
    inference(forward_demodulation,[],[f1087,f56]) ).

fof(f1117,plain,
    sF5 = composition(sK0,sF9),
    inference(superposition,[],[f48,f1114]) ).

fof(f1181,plain,
    ! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
    inference(superposition,[],[f1042,f21]) ).

fof(f1315,plain,
    ! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(join(X0,X1))),complement(complement(X0))),
    inference(superposition,[],[f1181,f1042]) ).

fof(f1378,plain,
    ! [X0,X1] : complement(complement(join(X0,X1))) = join(join(X0,X1),complement(complement(X0))),
    inference(forward_demodulation,[],[f1315,f1014]) ).

fof(f1398,plain,
    ! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,join(X1,complement(complement(X0)))),
    inference(forward_demodulation,[],[f1378,f22]) ).

fof(f1411,plain,
    ! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,join(X0,X1)),
    inference(forward_demodulation,[],[f1398,f1052]) ).

fof(f1419,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
    inference(forward_demodulation,[],[f1411,f1059]) ).

fof(f1450,plain,
    sF6 = join(sF4,sF6),
    inference(superposition,[],[f1419,f50]) ).

fof(f1452,plain,
    sF6 = join(sF5,sF6),
    inference(superposition,[],[f1419,f165]) ).

fof(f1455,plain,
    sF18 = join(sF5,sF18),
    inference(superposition,[],[f1419,f170]) ).

fof(f1458,plain,
    sF16 = join(sF13,sF16),
    inference(superposition,[],[f1419,f70]) ).

fof(f2518,plain,
    ! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
    inference(superposition,[],[f23,f1100]) ).

fof(f2544,plain,
    ! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(complement(join(complement(X1),X0)),join(X0,X1)))),
    inference(forward_demodulation,[],[f2518,f1014]) ).

fof(f2607,plain,
    ! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
    inference(forward_demodulation,[],[f2544,f904]) ).

fof(f2663,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
    inference(superposition,[],[f2607,f21]) ).

fof(f3167,plain,
    join(complement(sF7),sF9) = join(sF9,complement(sF10)),
    inference(superposition,[],[f2663,f58]) ).

fof(f3256,plain,
    join(complement(sF7),sF9) = join(sF9,sF11),
    inference(forward_demodulation,[],[f3167,f60]) ).

fof(f3306,plain,
    join(sF9,sF11) = join(sK1,sF9),
    inference(forward_demodulation,[],[f3256,f1019]) ).

fof(f3360,plain,
    join(sF3,composition(sK0,sF9)) = composition(sK0,join(sF9,sF11)),
    inference(superposition,[],[f237,f3306]) ).

fof(f3379,plain,
    join(sF3,composition(sK0,sF9)) = join(composition(sK0,sF9),sF12),
    inference(forward_demodulation,[],[f3360,f242]) ).

fof(f3382,plain,
    join(sF3,sF5) = join(sF5,sF12),
    inference(forward_demodulation,[],[f3379,f1117]) ).

fof(f3741,plain,
    join(complement(sF3),sF5) = join(sF5,complement(join(sF5,sF12))),
    inference(superposition,[],[f2663,f3382]) ).

fof(f3743,plain,
    join(complement(sF3),sF5) = join(complement(sF12),sF5),
    inference(forward_demodulation,[],[f3741,f2607]) ).

fof(f3747,plain,
    join(sF13,sF5) = join(complement(sF3),sF5),
    inference(forward_demodulation,[],[f3743,f64]) ).

fof(f3750,plain,
    join(sF4,sF5) = join(sF13,sF5),
    inference(forward_demodulation,[],[f3747,f46]) ).

fof(f3752,plain,
    join(sF4,sF5) = sF16,
    inference(forward_demodulation,[],[f3750,f70]) ).

fof(f3753,plain,
    sF6 = sF16,
    inference(forward_demodulation,[],[f3752,f50]) ).

fof(f3754,plain,
    sF6 = join(sF13,sF6),
    inference(superposition,[],[f1458,f3753]) ).

fof(f3756,plain,
    sF17 = join(sF4,sF6),
    inference(superposition,[],[f169,f3753]) ).

fof(f3758,plain,
    sF6 = sF17,
    inference(forward_demodulation,[],[f3756,f1450]) ).

fof(f3759,plain,
    sF6 = sF14,
    inference(forward_demodulation,[],[f3754,f166]) ).

fof(f3760,plain,
    sF14 = sF17,
    inference(forward_demodulation,[],[f3759,f3758]) ).

fof(f3762,plain,
    sF17 = join(sF5,sF17),
    inference(superposition,[],[f1452,f3758]) ).

fof(f3767,plain,
    sF17 = sF18,
    inference(forward_demodulation,[],[f3762,f170]) ).

fof(f3768,plain,
    sF14 = sF18,
    inference(forward_demodulation,[],[f3767,f3760]) ).

fof(f3819,plain,
    sF14 = join(sF5,sF14),
    inference(superposition,[],[f1455,f3768]) ).

fof(f3820,plain,
    ( sF6 != sF14
    | spl19_1 ),
    inference(superposition,[],[f79,f3768]) ).

fof(f3821,plain,
    ( sF14 != sF17
    | spl19_1 ),
    inference(forward_demodulation,[],[f3820,f3758]) ).

fof(f3822,plain,
    sF14 = sF15,
    inference(forward_demodulation,[],[f3819,f168]) ).

fof(f3823,plain,
    ( $false
    | spl19_1 ),
    inference(forward_subsumption_resolution,[],[f3821,f3760]) ).

fof(f3824,plain,
    spl19_1,
    inference(avatar_contradiction_clause,[],[f3823]) ).

fof(f3826,plain,
    ( sF6 != sF15
    | spl19_2 ),
    inference(forward_demodulation,[],[f83,f3753]) ).

fof(f3828,plain,
    ( sF6 != sF14
    | spl19_2 ),
    inference(forward_demodulation,[],[f3826,f3822]) ).

fof(f3829,plain,
    ( sF14 != sF17
    | spl19_2 ),
    inference(forward_demodulation,[],[f3828,f3758]) ).

fof(f3830,plain,
    ( $false
    | spl19_2 ),
    inference(forward_subsumption_resolution,[],[f3829,f3760]) ).

fof(f3831,plain,
    spl19_2,
    inference(avatar_contradiction_clause,[],[f3830]) ).

cnf(s1,plain,
    ( ~ spl19_1
    | ~ spl19_2 ),
    inference(sat_conversion,[],[f84]) ).

cnf(s2,plain,
    spl19_1,
    inference(sat_conversion,[],[f3824]) ).

cnf(s3,plain,
    spl19_2,
    inference(sat_conversion,[],[f3831]) ).

cnf(s4,plain,
    $false,
    inference(rat,[],[s1,s3,s2]) ).

fof(f3832,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : REL017+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n026.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 22:54:56 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.63/2.09  % (3299118)Detected formulas, will run a generic FOF schedule.
% 8.63/2.09  % (3299127)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1198388951:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.63/2.09  % (3299127)Instruction limit reached! 
% 8.63/2.09  % (3299127)------------------------------
% 8.63/2.09  % (3299127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299127)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299127)Termination reason: Instruction limit
% 8.63/2.09  % (3299127)Termination phase: Saturation
% 8.63/2.09  % (3299127)Time elapsed: 0.035 s
% 8.63/2.09  % (3299127)Peak memory usage: 89 MB
% 8.63/2.09  % (3299127)Instructions burned: 119 (million)
% 8.63/2.09  % (3299126)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3572607687:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.63/2.09  % (3299128)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=12549889:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.63/2.09  % (3299123)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=3542162434:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.63/2.09  % (3299124)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3747625286:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.63/2.09  % (3299125)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3460709211:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.63/2.09  % (3299129)dis-21_1_sil=8000:lcm=predicate:random_seed=583563323:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.63/2.09  % (3299129)Refutation not found, incomplete strategy
% 8.63/2.09  % (3299129)------------------------------
% 8.63/2.09  % (3299129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299129)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299129)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.09  % (3299129)Time elapsed: 0.002 s
% 8.63/2.09  % (3299129)Peak memory usage: 88 MB
% 8.63/2.09  % (3299129)Instructions burned: 1 (million)
% 8.63/2.09  % (3299126)Refutation not found, incomplete strategy
% 8.63/2.09  % (3299126)------------------------------
% 8.63/2.09  % (3299126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299126)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299126)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.09  % (3299126)Time elapsed: 0.002 s
% 8.63/2.09  % (3299126)Peak memory usage: 88 MB
% 8.63/2.09  % (3299126)Instructions burned: 2 (million)
% 8.63/2.09  % (3299128)Instruction limit reached! 
% 8.63/2.09  % (3299128)------------------------------
% 8.63/2.09  % (3299128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299128)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299128)Termination reason: Instruction limit
% 8.63/2.09  % (3299128)Termination phase: Saturation
% 8.63/2.09  % (3299128)Time elapsed: 0.085 s
% 8.63/2.09  % (3299128)Peak memory usage: 90 MB
% 8.63/2.09  % (3299128)Instructions burned: 140 (million)
% 8.63/2.09  % (3299131)lrs+10_1_sil=8000:sp=occurrence:random_seed=3727792123:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.63/2.09  % (3299131)Instruction limit reached! 
% 8.63/2.09  % (3299131)------------------------------
% 8.63/2.09  % (3299131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299131)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299131)Termination reason: Instruction limit
% 8.63/2.09  % (3299131)Termination phase: Saturation
% 8.63/2.09  % (3299131)Time elapsed: 0.091 s
% 8.63/2.09  % (3299131)Peak memory usage: 92 MB
% 8.63/2.09  % (3299131)Instructions burned: 287 (million)
% 8.63/2.09  % (3299138)lrs+10_1_sil=32000:urr=on:br=off:random_seed=434356452:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.63/2.09  % (3299129)------------------------------
% 8.63/2.09  % (3299129)------------------------------
% 8.63/2.09  % (3299126)------------------------------
% 8.63/2.09  % (3299126)------------------------------
% 8.63/2.09  % (3299140)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1770552475:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 8.63/2.09  % (3299138)Instruction limit reached! 
% 8.63/2.09  % (3299138)------------------------------
% 8.63/2.09  % (3299138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299138)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299138)Termination reason: Instruction limit
% 8.63/2.09  % (3299138)Termination phase: Saturation
% 8.63/2.09  % (3299138)Time elapsed: 0.096 s
% 8.63/2.09  % (3299138)Peak memory usage: 90 MB
% 8.63/2.09  % (3299138)Instructions burned: 157 (million)
% 8.63/2.09  % (3299143)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4002576525:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.63/2.09  % (3299142)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3392829117:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.63/2.09  % (3299143)Refutation not found, incomplete strategy
% 8.63/2.09  % (3299143)------------------------------
% 8.63/2.09  % (3299143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299143)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299143)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.09  % (3299143)Time elapsed: 0.003 s
% 8.63/2.09  % (3299143)Peak memory usage: 88 MB
% 8.63/2.09  % (3299143)Instructions burned: 3 (million)
% 8.63/2.09  % (3299140)Instruction limit reached! 
% 8.63/2.09  % (3299140)------------------------------
% 8.63/2.09  % (3299140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299140)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299140)Termination reason: Instruction limit
% 8.63/2.09  % (3299140)Termination phase: Saturation
% 8.63/2.09  % (3299140)Time elapsed: 0.104 s
% 8.63/2.09  % (3299140)Peak memory usage: 92 MB
% 8.63/2.09  % (3299140)Instructions burned: 327 (million)
% 8.63/2.09  % (3299145)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3410613933:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.63/2.09  % (3299148)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=178197138:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.63/2.09  % (3299148)Refutation not found, incomplete strategy
% 8.63/2.09  % (3299148)------------------------------
% 8.63/2.09  % (3299148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299148)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299148)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.09  % (3299148)Time elapsed: 0.006 s
% 8.63/2.09  % (3299148)Peak memory usage: 88 MB
% 8.63/2.09  % (3299148)Instructions burned: 19 (million)
% 8.63/2.09  % (3299142)Instruction limit reached! 
% 8.63/2.09  % (3299142)------------------------------
% 8.63/2.09  % (3299142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299142)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299142)Termination reason: Instruction limit
% 8.63/2.09  % (3299142)Termination phase: Saturation
% 8.63/2.09  % (3299142)Time elapsed: 0.158 s
% 8.63/2.09  % (3299142)Peak memory usage: 91 MB
% 8.63/2.09  % (3299142)Instructions burned: 248 (million)
% 8.63/2.09  % (3299125)Refutation not found, incomplete strategy
% 8.63/2.09  % (3299125)------------------------------
% 8.63/2.09  % (3299125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299125)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299125)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.09  % (3299125)Time elapsed: 0.609 s
% 8.63/2.09  % (3299125)Peak memory usage: 126 MB
% 8.63/2.09  % (3299125)Instructions burned: 895 (million)
% 8.63/2.09  % (3299143)------------------------------
% 8.63/2.09  % (3299143)------------------------------
% 8.63/2.09  % (3299148)------------------------------
% 8.63/2.09  % (3299148)------------------------------
% 8.63/2.09  % (3299151)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=774414834:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 8.63/2.09  % (3299151)Refutation not found, incomplete strategy
% 8.63/2.09  % (3299151)------------------------------
% 8.63/2.09  % (3299151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299151)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299151)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.09  % (3299151)Time elapsed: 0.001 s
% 8.63/2.09  % (3299151)Peak memory usage: 88 MB
% 8.63/2.09  % (3299151)Instructions burned: 1 (million)
% 8.63/2.09  % (3299152)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2242382633:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.63/2.09  % (3299154)lrs+10_1_sil=8000:sp=occurrence:random_seed=3351368750:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.63/2.09  % (3299125)------------------------------
% 8.63/2.09  % (3299125)------------------------------
% 8.63/2.09  % (3299152)Instruction limit reached! 
% 8.63/2.09  % (3299152)------------------------------
% 8.63/2.09  % (3299152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299152)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299152)Termination reason: Instruction limit
% 8.63/2.09  % (3299152)Termination phase: Saturation
% 8.63/2.09  % (3299152)Time elapsed: 0.066 s
% 8.63/2.09  % (3299152)Peak memory usage: 89 MB
% 8.63/2.09  % (3299152)Instructions burned: 115 (million)
% 8.63/2.09  % (3299123)First to succeed.
% 8.63/2.09  % (3299123)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3299118"
% 8.63/2.09  % (3299151)------------------------------
% 8.63/2.09  % (3299151)------------------------------
% 8.63/2.09  % (3299157)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4204176415:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 8.63/2.09  % (3299158)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2567115769:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.63/2.09  % (3299157)Refutation not found, incomplete strategy
% 8.63/2.09  % (3299157)------------------------------
% 8.63/2.09  % (3299157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.09  % (3299157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.09  % (3299157)CaDiCaL version: 2.1.3
% 8.63/2.09  % (3299157)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.09  % (3299157)Time elapsed: 0.002 s
% 8.63/2.09  % (3299157)Peak memory usage: 88 MB
% 8.63/2.09  % (3299157)Instructions burned: 1 (million)
% 8.63/2.09  % (3299123)Refutation found. Thanks to Tanya!
% 8.63/2.09  % SZS status Theorem for theBenchmark
% 8.63/2.09  % SZS output start Proof for theBenchmark
% See solution above
% 9.14/2.19  % (3299123)------------------------------
% 9.14/2.19  % (3299123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.19  % (3299123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.19  % (3299123)CaDiCaL version: 2.1.3
% 9.14/2.19  % (3299123)Termination reason: Refutation
% 9.14/2.19  % (3299123)Time elapsed: 0.887 s
% 9.14/2.19  % (3299123)Peak memory usage: 133 MB
% 9.14/2.19  % (3299123)Instructions burned: 1508 (million)
% 9.14/2.19  % (3299123)------------------------------
% 9.14/2.19  % (3299123)------------------------------
% 9.14/2.19  % (3299118)Success in time 1.228 s
% 9.14/2.19  % Vampire exiting
%------------------------------------------------------------------------------