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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : REL048-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% 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 12:34:40 PM UTC 2026

% Result   : Unsatisfiable 13.76s 2.47s
% Output   : Refutation 13.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   78
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  207 ( 190 unt;   2 def)
%            Number of atoms       :  225 ( 198 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  18   ~;  16   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :  196 (   0 sgn 196   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).

fof(f2,axiom,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',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/sandbox/benchmark/Axioms/REL001-0.ax',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/sandbox/benchmark/Axioms/REL001-0.ax',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/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).

fof(f10,axiom,
    ! [X0] : converse(converse(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).

fof(f11,axiom,
    ! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).

fof(f12,axiom,
    ! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).

fof(f13,axiom,
    ! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',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(f15,axiom,
    ! [X0] : top = join(X0,complement(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).

fof(f16,axiom,
    ! [X0] : zero = meet(X0,complement(X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).

fof(f17,negated_conjecture,
    join(join(sk1,sk2),sk3) = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).

fof(f18,plain,
    sk3 = join(join(sk1,sk2),sk3),
    inference(reorient_equations,[],[f17]) ).

fof(f19,negated_conjecture,
    ( join(sk1,sk3) != sk3
    | join(sk2,sk3) != sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).

fof(f20,plain,
    ( sk3 != join(sk1,sk3)
    | sk3 != join(sk2,sk3) ),
    inference(reorient_equations,[],[f19]) ).

fof(f21,plain,
    ! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
    inference(definition_unfolding,[],[f16,f6]) ).

fof(f23,definition,
    ( spl0_1
  <=> sk3 = join(sk2,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f24,plain,
    ( sk3 = join(sk2,sk3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f25,plain,
    ( sk3 != join(sk2,sk3)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f23]) ).

fof(f27,definition,
    ( spl0_2
  <=> sk3 = join(sk1,sk3) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f29,plain,
    ( sk3 != join(sk1,sk3)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f30,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f20,f27,f23]) ).

fof(f31,plain,
    sk3 = join(sk3,join(sk1,sk2)),
    inference(superposition,[],[f1,f18]) ).

fof(f37,plain,
    zero = complement(top),
    inference(forward_demodulation,[],[f21,f15]) ).

fof(f38,plain,
    top = join(top,zero),
    inference(superposition,[],[f15,f37]) ).

fof(f39,plain,
    ! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
    inference(superposition,[],[f11,f10]) ).

fof(f40,plain,
    ! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
    inference(superposition,[],[f11,f10]) ).

fof(f41,plain,
    ! [X0,X1] : join(converse(X0),converse(X1)) = converse(join(X1,X0)),
    inference(superposition,[],[f11,f1]) ).

fof(f46,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[],[f12,f10]) ).

fof(f50,plain,
    ! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
    inference(superposition,[],[f39,f15]) ).

fof(f51,plain,
    ! [X0,X1] : join(X1,converse(X0)) = converse(join(X0,converse(X1))),
    inference(superposition,[],[f39,f1]) ).

fof(f96,plain,
    ! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
    inference(superposition,[],[f41,f11]) ).

fof(f204,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(superposition,[],[f46,f8]) ).

fof(f220,plain,
    ! [X0] : composition(converse(one),X0) = X0,
    inference(forward_demodulation,[],[f204,f10]) ).

fof(f225,plain,
    one = converse(one),
    inference(superposition,[],[f220,f8]) ).

fof(f232,plain,
    ! [X0] : composition(one,X0) = X0,
    inference(superposition,[],[f220,f225]) ).

fof(f440,plain,
    ! [X0] : join(sk3,X0) = join(join(sk1,sk2),join(sk3,X0)),
    inference(superposition,[],[f2,f18]) ).

fof(f446,plain,
    ! [X0] : join(sk3,X0) = join(sk3,join(join(sk1,sk2),X0)),
    inference(superposition,[],[f2,f31]) ).

fof(f452,plain,
    sk3 = join(sk1,join(sk2,sk3)),
    inference(superposition,[],[f18,f2]) ).

fof(f462,plain,
    sk3 = join(sk1,join(sk3,sk2)),
    inference(forward_demodulation,[],[f452,f1]) ).

fof(f464,plain,
    ! [X0] : join(sk3,X0) = join(sk3,join(sk1,join(sk2,X0))),
    inference(forward_demodulation,[],[f446,f2]) ).

fof(f466,plain,
    ! [X0] : join(sk3,X0) = join(sk1,join(sk2,join(sk3,X0))),
    inference(forward_demodulation,[],[f440,f2]) ).

fof(f471,plain,
    top = join(sk1,join(sk2,top)),
    inference(superposition,[],[f466,f15]) ).

fof(f472,plain,
    ! [X0] : join(X0,sk3) = join(sk1,join(sk2,join(X0,sk3))),
    inference(superposition,[],[f466,f1]) ).

fof(f480,plain,
    ! [X0] : join(top,X0) = join(sk1,join(join(sk2,top),X0)),
    inference(superposition,[],[f2,f471]) ).

fof(f481,plain,
    ! [X0] : join(top,X0) = join(sk1,join(sk2,join(top,X0))),
    inference(forward_demodulation,[],[f480,f2]) ).

fof(f485,plain,
    ! [X0] : join(sk3,X0) = join(sk3,join(sk1,join(X0,sk2))),
    inference(superposition,[],[f464,f1]) ).

fof(f519,plain,
    ! [X0] : join(X0,top) = join(sk1,join(sk2,join(X0,top))),
    inference(superposition,[],[f481,f1]) ).

fof(f530,plain,
    ! [X0,X1] : join(join(sk3,X0),X1) = join(sk3,join(join(sk1,join(X0,sk2)),X1)),
    inference(superposition,[],[f2,f485]) ).

fof(f531,plain,
    ! [X0,X1] : join(join(sk3,X0),X1) = join(sk3,join(sk1,join(join(X0,sk2),X1))),
    inference(forward_demodulation,[],[f530,f2]) ).

fof(f532,plain,
    ! [X0,X1] : join(join(sk3,X0),X1) = join(sk3,join(sk1,join(X0,join(sk2,X1)))),
    inference(forward_demodulation,[],[f531,f2]) ).

fof(f533,plain,
    ! [X0,X1] : join(sk3,join(X0,X1)) = join(sk3,join(sk1,join(X0,join(sk2,X1)))),
    inference(forward_demodulation,[],[f532,f2]) ).

fof(f833,plain,
    ! [X0,X1] : join(sk3,join(sk1,join(join(sk2,X0),X1))) = join(sk3,join(X1,X0)),
    inference(superposition,[],[f533,f1]) ).

fof(f845,plain,
    ! [X0,X1] : join(sk3,join(sk1,join(sk2,join(X0,X1)))) = join(sk3,join(X1,X0)),
    inference(forward_demodulation,[],[f833,f2]) ).

fof(f848,plain,
    ! [X0,X1] : join(sk3,join(X0,X1)) = join(sk3,join(X1,X0)),
    inference(forward_demodulation,[],[f845,f464]) ).

fof(f860,plain,
    ! [X0,X1] : join(sk3,join(converse(X1),converse(X0))) = join(sk3,converse(join(X0,X1))),
    inference(superposition,[],[f848,f11]) ).

fof(f885,plain,
    ! [X0,X1] : join(sk3,converse(join(X0,X1))) = join(sk3,converse(join(X1,X0))),
    inference(forward_demodulation,[],[f860,f11]) ).

fof(f918,plain,
    ! [X0,X1] : join(join(X1,X0),converse(sk3)) = converse(join(sk3,converse(join(X0,X1)))),
    inference(superposition,[],[f51,f885]) ).

fof(f923,plain,
    ! [X0,X1] : join(join(X1,X0),converse(sk3)) = join(converse(sk3),join(X0,X1)),
    inference(forward_demodulation,[],[f918,f40]) ).

fof(f935,plain,
    ! [X0,X1] : join(converse(sk3),join(X0,X1)) = join(X1,join(X0,converse(sk3))),
    inference(forward_demodulation,[],[f923,f2]) ).

fof(f991,plain,
    ! [X0,X1] : join(converse(sk3),join(X0,X1)) = join(X0,join(X1,converse(sk3))),
    inference(superposition,[],[f935,f1]) ).

fof(f993,plain,
    ! [X0] : join(complement(X0),join(X0,converse(sk3))) = join(converse(sk3),top),
    inference(superposition,[],[f935,f15]) ).

fof(f997,plain,
    ! [X0,X1] : join(converse(sk3),converse(join(X0,X1))) = join(converse(X1),join(converse(X0),converse(sk3))),
    inference(superposition,[],[f935,f11]) ).

fof(f1001,plain,
    ! [X0,X1] : join(converse(sk3),join(X0,X1)) = join(X1,join(converse(sk3),X0)),
    inference(superposition,[],[f935,f1]) ).

fof(f1021,plain,
    ! [X0,X1] : join(converse(sk3),join(X0,X1)) = join(join(X0,converse(sk3)),X1),
    inference(superposition,[],[f1,f935]) ).

fof(f1046,plain,
    ! [X0,X1] : join(converse(sk3),join(X0,X1)) = join(X0,join(converse(sk3),X1)),
    inference(forward_demodulation,[],[f1021,f2]) ).

fof(f1057,plain,
    ! [X0,X1] : join(converse(sk3),converse(join(X0,X1))) = join(converse(X1),converse(join(X0,sk3))),
    inference(forward_demodulation,[],[f997,f11]) ).

fof(f1061,plain,
    ! [X0] : join(complement(X0),join(X0,converse(sk3))) = join(top,converse(sk3)),
    inference(forward_demodulation,[],[f993,f1]) ).

fof(f1070,plain,
    ! [X0,X1] : join(converse(sk3),converse(join(X0,X1))) = converse(join(X1,join(X0,sk3))),
    inference(forward_demodulation,[],[f1057,f11]) ).

fof(f1077,plain,
    ! [X0,X1] : converse(join(sk3,join(X0,X1))) = converse(join(X1,join(X0,sk3))),
    inference(forward_demodulation,[],[f1070,f11]) ).

fof(f1085,plain,
    ! [X0] : join(top,converse(sk3)) = join(complement(X0),join(converse(sk3),X0)),
    inference(superposition,[],[f1061,f1]) ).

fof(f1108,plain,
    join(top,converse(sk3)) = join(complement(converse(complement(converse(converse(sk3))))),converse(top)),
    inference(superposition,[],[f1085,f50]) ).

fof(f1117,plain,
    join(top,converse(sk3)) = join(converse(top),complement(converse(complement(converse(converse(sk3)))))),
    inference(forward_demodulation,[],[f1108,f1]) ).

fof(f1121,plain,
    join(top,converse(sk3)) = join(converse(top),complement(converse(complement(sk3)))),
    inference(forward_demodulation,[],[f1117,f10]) ).

fof(f1132,plain,
    converse(join(top,converse(sk3))) = join(top,converse(complement(converse(complement(sk3))))),
    inference(superposition,[],[f39,f1121]) ).

fof(f1135,plain,
    join(converse(top),sk3) = join(top,converse(complement(converse(complement(sk3))))),
    inference(forward_demodulation,[],[f1132,f40]) ).

fof(f1137,plain,
    join(sk3,converse(top)) = join(top,converse(complement(converse(complement(sk3))))),
    inference(forward_demodulation,[],[f1135,f1]) ).

fof(f1268,plain,
    ! [X0] : join(X0,join(converse(complement(converse(X0))),converse(sk3))) = join(converse(sk3),converse(top)),
    inference(superposition,[],[f991,f50]) ).

fof(f1441,plain,
    ! [X0] : join(X0,join(converse(complement(converse(X0))),converse(sk3))) = converse(join(sk3,top)),
    inference(forward_demodulation,[],[f1268,f11]) ).

fof(f1503,plain,
    ! [X0] : converse(join(sk3,top)) = join(X0,converse(join(complement(converse(X0)),sk3))),
    inference(forward_demodulation,[],[f1441,f11]) ).

fof(f1554,plain,
    ! [X0] : converse(join(sk3,top)) = join(X0,converse(join(sk3,complement(converse(X0))))),
    inference(forward_demodulation,[],[f1503,f96]) ).

fof(f1827,plain,
    ! [X0] : join(X0,top) = join(converse(sk3),join(complement(converse(sk3)),X0)),
    inference(superposition,[],[f1001,f15]) ).

fof(f1924,plain,
    ! [X0] : join(X0,top) = join(converse(sk3),join(X0,complement(converse(sk3)))),
    inference(superposition,[],[f1827,f1]) ).

fof(f1943,plain,
    ! [X0,X1] : join(converse(sk3),join(join(complement(converse(sk3)),X0),X1)) = join(X1,join(X0,top)),
    inference(superposition,[],[f1001,f1827]) ).

fof(f1951,plain,
    ! [X0,X1] : join(join(X0,top),X1) = join(converse(sk3),join(join(complement(converse(sk3)),X0),X1)),
    inference(superposition,[],[f2,f1827]) ).

fof(f1952,plain,
    ! [X0,X1] : join(join(X0,top),X1) = join(converse(sk3),join(complement(converse(sk3)),join(X0,X1))),
    inference(forward_demodulation,[],[f1951,f2]) ).

fof(f1957,plain,
    ! [X0,X1] : join(X1,join(X0,top)) = join(converse(sk3),join(complement(converse(sk3)),join(X0,X1))),
    inference(forward_demodulation,[],[f1943,f2]) ).

fof(f1970,plain,
    ! [X0,X1] : join(join(X0,X1),top) = join(join(X0,top),X1),
    inference(forward_demodulation,[],[f1952,f1827]) ).

fof(f1972,plain,
    ! [X0,X1] : join(join(X0,X1),top) = join(X1,join(X0,top)),
    inference(forward_demodulation,[],[f1957,f1827]) ).

fof(f1980,plain,
    ! [X0,X1] : join(join(X0,X1),top) = join(X0,join(top,X1)),
    inference(forward_demodulation,[],[f1970,f2]) ).

fof(f1981,plain,
    ! [X0,X1] : join(X0,join(X1,top)) = join(X1,join(X0,top)),
    inference(forward_demodulation,[],[f1972,f2]) ).

fof(f1985,plain,
    ! [X0,X1] : join(X0,join(X1,top)) = join(X0,join(top,X1)),
    inference(forward_demodulation,[],[f1980,f2]) ).

fof(f1993,plain,
    ! [X0,X1] : join(X0,join(X1,top)) = join(X1,join(top,X0)),
    inference(superposition,[],[f1981,f1]) ).

fof(f2244,plain,
    ! [X0] : join(sk1,join(sk2,join(top,X0))) = join(X0,top),
    inference(superposition,[],[f519,f1985]) ).

fof(f2256,plain,
    ! [X0,X1] : join(X0,join(X1,top)) = join(join(top,X1),X0),
    inference(superposition,[],[f1,f1985]) ).

fof(f2323,plain,
    ! [X0,X1] : join(X0,join(X1,top)) = join(top,join(X1,X0)),
    inference(forward_demodulation,[],[f2256,f2]) ).

fof(f2404,plain,
    ! [X0] : join(X0,top) = join(zero,join(X0,top)),
    inference(superposition,[],[f1993,f38]) ).

fof(f2485,plain,
    ! [X0,X1] : join(join(top,X0),X1) = join(X0,join(X1,top)),
    inference(superposition,[],[f1,f1993]) ).

fof(f2552,plain,
    ! [X0,X1] : join(top,join(X0,X1)) = join(X0,join(X1,top)),
    inference(forward_demodulation,[],[f2485,f2]) ).

fof(f3383,plain,
    ! [X0,X1] : join(top,join(X0,X1)) = join(X1,join(top,X0)),
    inference(superposition,[],[f2323,f1]) ).

fof(f3408,plain,
    ! [X0] : join(X0,top) = join(top,join(X0,zero)),
    inference(superposition,[],[f2323,f2404]) ).

fof(f3539,plain,
    ! [X0] : join(top,join(zero,X0)) = join(X0,top),
    inference(superposition,[],[f3408,f1]) ).

fof(f4453,plain,
    ! [X0] : join(top,top) = join(X0,join(complement(X0),top)),
    inference(superposition,[],[f2552,f15]) ).

fof(f4746,plain,
    ! [X0] : join(top,top) = join(X0,join(top,complement(X0))),
    inference(forward_demodulation,[],[f4453,f1985]) ).

fof(f5922,plain,
    ! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
    inference(forward_demodulation,[],[f14,f1]) ).

fof(f7999,plain,
    ! [X0,X1] : join(X1,join(X0,sk3)) = converse(converse(join(sk3,join(X0,X1)))),
    inference(superposition,[],[f10,f1077]) ).

fof(f8026,plain,
    ! [X0,X1] : join(sk3,join(X0,X1)) = join(X1,join(X0,sk3)),
    inference(forward_demodulation,[],[f7999,f10]) ).

fof(f8125,plain,
    ! [X0,X1] : join(sk3,join(X0,X1)) = join(X1,join(sk3,X0)),
    inference(superposition,[],[f8026,f1]) ).

fof(f8269,plain,
    ! [X0] : join(X0,sk3) = join(sk1,join(sk3,join(X0,sk2))),
    inference(superposition,[],[f472,f8026]) ).

fof(f8992,plain,
    ! [X0] : join(X0,top) = join(sk3,join(complement(sk3),X0)),
    inference(superposition,[],[f8125,f15]) ).

fof(f9603,plain,
    ! [X0] : join(X0,sk3) = join(sk3,join(join(X0,sk2),sk1)),
    inference(forward_demodulation,[],[f8269,f8125]) ).

fof(f9604,plain,
    ! [X0] : join(X0,sk3) = join(sk3,join(sk1,join(X0,sk2))),
    inference(forward_demodulation,[],[f9603,f848]) ).

fof(f11880,plain,
    ! [X0] : join(converse(sk3),complement(converse(sk3))) = join(composition(converse(X0),complement(composition(X0,converse(sk3)))),top),
    inference(superposition,[],[f1827,f5922]) ).

fof(f11883,plain,
    ! [X0] : join(sk3,complement(sk3)) = join(composition(converse(X0),complement(composition(X0,sk3))),top),
    inference(superposition,[],[f8992,f5922]) ).

fof(f11888,plain,
    ! [X0] : join(sk3,complement(sk3)) = join(top,composition(converse(X0),complement(composition(X0,sk3)))),
    inference(forward_demodulation,[],[f11883,f1]) ).

fof(f11891,plain,
    ! [X0] : join(converse(sk3),complement(converse(sk3))) = join(top,composition(converse(X0),complement(composition(X0,converse(sk3))))),
    inference(forward_demodulation,[],[f11880,f1]) ).

fof(f11899,plain,
    ! [X0] : top = join(top,composition(converse(X0),complement(composition(X0,sk3)))),
    inference(forward_demodulation,[],[f11888,f15]) ).

fof(f11901,plain,
    ! [X0] : top = join(top,composition(converse(X0),complement(composition(X0,converse(sk3))))),
    inference(forward_demodulation,[],[f11891,f15]) ).

fof(f12767,plain,
    top = join(top,complement(composition(one,sk3))),
    inference(superposition,[],[f11899,f220]) ).

fof(f12800,plain,
    top = join(top,complement(sk3)),
    inference(forward_demodulation,[],[f12767,f232]) ).

fof(f12817,plain,
    join(sk3,top) = join(top,top),
    inference(superposition,[],[f4746,f12800]) ).

fof(f12832,plain,
    ! [X0] : join(X0,top) = join(top,join(complement(sk3),X0)),
    inference(superposition,[],[f3383,f12800]) ).

fof(f12904,plain,
    ! [X0] : join(join(sk3,top),X0) = join(top,join(top,X0)),
    inference(superposition,[],[f2,f12817]) ).

fof(f12913,plain,
    ! [X0] : join(sk3,join(top,X0)) = join(top,join(top,X0)),
    inference(forward_demodulation,[],[f12904,f2]) ).

fof(f13152,plain,
    join(top,converse(top)) = join(converse(complement(converse(complement(sk3)))),top),
    inference(superposition,[],[f12832,f50]) ).

fof(f13238,plain,
    join(top,converse(top)) = join(top,converse(complement(converse(complement(sk3))))),
    inference(forward_demodulation,[],[f13152,f1]) ).

fof(f13295,plain,
    join(sk3,converse(top)) = join(top,converse(top)),
    inference(forward_demodulation,[],[f13238,f1137]) ).

fof(f13377,plain,
    join(sk3,converse(top)) = converse(join(sk3,converse(top))),
    inference(superposition,[],[f51,f13295]) ).

fof(f13386,plain,
    join(sk3,converse(top)) = join(converse(sk3),top),
    inference(forward_demodulation,[],[f13377,f40]) ).

fof(f13401,plain,
    join(sk3,converse(top)) = join(top,converse(sk3)),
    inference(forward_demodulation,[],[f13386,f1]) ).

fof(f14988,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(forward_demodulation,[],[f4,f1]) ).

fof(f15645,plain,
    top = join(top,complement(composition(one,converse(sk3)))),
    inference(superposition,[],[f11901,f220]) ).

fof(f15681,plain,
    top = join(top,complement(converse(sk3))),
    inference(forward_demodulation,[],[f15645,f232]) ).

fof(f15723,plain,
    join(top,top) = join(converse(sk3),top),
    inference(superposition,[],[f1924,f15681]) ).

fof(f15729,plain,
    join(top,top) = join(top,converse(sk3)),
    inference(forward_demodulation,[],[f15723,f1]) ).

fof(f15745,plain,
    join(sk3,top) = join(top,converse(sk3)),
    inference(forward_demodulation,[],[f15729,f12817]) ).

fof(f15765,plain,
    join(sk1,join(sk2,join(sk3,top))) = join(converse(sk3),top),
    inference(superposition,[],[f2244,f15745]) ).

fof(f15799,plain,
    join(sk1,join(sk2,join(sk3,top))) = join(top,converse(sk3)),
    inference(forward_demodulation,[],[f15765,f1]) ).

fof(f15810,plain,
    join(sk3,converse(top)) = join(sk1,join(sk2,join(sk3,top))),
    inference(forward_demodulation,[],[f15799,f13401]) ).

fof(f15816,plain,
    join(sk3,top) = join(sk3,converse(top)),
    inference(forward_demodulation,[],[f15810,f466]) ).

fof(f15834,plain,
    join(top,converse(sk3)) = converse(join(sk3,top)),
    inference(superposition,[],[f51,f15816]) ).

fof(f15847,plain,
    join(sk3,converse(top)) = converse(join(sk3,top)),
    inference(forward_demodulation,[],[f15834,f13401]) ).

fof(f15857,plain,
    join(sk3,top) = converse(join(sk3,top)),
    inference(forward_demodulation,[],[f15847,f15816]) ).

fof(f15886,plain,
    converse(top) = join(join(sk3,top),converse(complement(join(sk3,top)))),
    inference(superposition,[],[f50,f15857]) ).

fof(f15895,plain,
    converse(top) = join(sk3,join(top,converse(complement(join(sk3,top))))),
    inference(forward_demodulation,[],[f15886,f2]) ).

fof(f21179,plain,
    ! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
    inference(superposition,[],[f14988,f15]) ).

fof(f21183,plain,
    ! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
    inference(forward_demodulation,[],[f21179,f1]) ).

fof(f21205,plain,
    ! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
    inference(forward_demodulation,[],[f21183,f37]) ).

fof(f26978,plain,
    ! [X0] : join(sk3,top) = join(X0,converse(join(sk3,complement(converse(X0))))),
    inference(forward_demodulation,[],[f1554,f15857]) ).

fof(f27040,plain,
    ! [X0] : join(X0,join(sk3,top)) = join(converse(sk3),join(X0,converse(join(sk3,complement(converse(converse(sk3))))))),
    inference(superposition,[],[f1046,f26978]) ).

fof(f27108,plain,
    ! [X0] : join(X0,join(sk3,top)) = join(converse(sk3),join(X0,converse(join(sk3,complement(sk3))))),
    inference(forward_demodulation,[],[f27040,f10]) ).

fof(f27182,plain,
    ! [X0] : join(converse(sk3),join(X0,converse(top))) = join(X0,join(sk3,top)),
    inference(forward_demodulation,[],[f27108,f15]) ).

fof(f33206,plain,
    ! [X0] : join(converse(sk3),converse(join(top,X0))) = join(converse(X0),join(sk3,top)),
    inference(superposition,[],[f27182,f41]) ).

fof(f33285,plain,
    ! [X0] : join(converse(sk3),converse(join(top,X0))) = join(sk3,join(converse(X0),top)),
    inference(forward_demodulation,[],[f33206,f1981]) ).

fof(f33319,plain,
    ! [X0] : join(converse(sk3),converse(join(top,X0))) = join(sk3,join(top,converse(X0))),
    inference(forward_demodulation,[],[f33285,f848]) ).

fof(f33343,plain,
    ! [X0] : converse(join(sk3,join(top,X0))) = join(sk3,join(top,converse(X0))),
    inference(forward_demodulation,[],[f33319,f11]) ).

fof(f48169,plain,
    converse(converse(top)) = join(sk3,join(top,converse(converse(complement(join(sk3,top)))))),
    inference(superposition,[],[f33343,f15895]) ).

fof(f48275,plain,
    converse(converse(top)) = join(sk3,join(top,complement(join(sk3,top)))),
    inference(forward_demodulation,[],[f48169,f10]) ).

fof(f48417,plain,
    top = join(sk3,join(top,complement(join(sk3,top)))),
    inference(forward_demodulation,[],[f48275,f10]) ).

fof(f88300,plain,
    ! [X0] : join(top,X0) = join(complement(join(complement(X0),complement(X0))),top),
    inference(superposition,[],[f3539,f21205]) ).

fof(f88307,plain,
    ! [X0] : join(top,X0) = join(top,complement(join(complement(X0),complement(X0)))),
    inference(forward_demodulation,[],[f88300,f1]) ).

fof(f88314,plain,
    ! [X0] : join(top,top) = join(join(complement(X0),complement(X0)),join(top,X0)),
    inference(superposition,[],[f4746,f88307]) ).

fof(f88369,plain,
    ! [X0] : join(top,top) = join(complement(X0),join(complement(X0),join(top,X0))),
    inference(forward_demodulation,[],[f88314,f2]) ).

fof(f88385,plain,
    ! [X0] : join(top,top) = join(complement(X0),join(X0,join(complement(X0),top))),
    inference(forward_demodulation,[],[f88369,f1993]) ).

fof(f88393,plain,
    ! [X0] : join(top,top) = join(complement(X0),join(X0,join(top,complement(X0)))),
    inference(forward_demodulation,[],[f88385,f1985]) ).

fof(f88401,plain,
    ! [X0] : join(top,top) = join(complement(X0),join(top,top)),
    inference(forward_demodulation,[],[f88393,f4746]) ).

fof(f88406,plain,
    ! [X0] : join(top,top) = join(top,join(complement(X0),top)),
    inference(forward_demodulation,[],[f88401,f1981]) ).

fof(f88409,plain,
    ! [X0] : join(top,top) = join(top,join(top,complement(X0))),
    inference(forward_demodulation,[],[f88406,f3383]) ).

fof(f88411,plain,
    ! [X0] : join(top,top) = join(sk3,join(top,complement(X0))),
    inference(forward_demodulation,[],[f88409,f12913]) ).

fof(f88413,plain,
    ! [X0] : join(sk3,top) = join(sk3,join(top,complement(X0))),
    inference(forward_demodulation,[],[f88411,f12817]) ).

fof(f88423,plain,
    ! [X0] : join(sk3,top) = join(sk3,join(top,X0)),
    inference(superposition,[],[f88413,f88307]) ).

fof(f88437,plain,
    top = join(sk3,top),
    inference(superposition,[],[f88413,f48417]) ).

fof(f91959,plain,
    ! [X0] : top = join(sk3,join(top,X0)),
    inference(forward_demodulation,[],[f88423,f88437]) ).

fof(f92287,plain,
    ! [X0] : top = join(X0,join(sk3,top)),
    inference(superposition,[],[f1993,f91959]) ).

fof(f92326,plain,
    ! [X0] : top = join(X0,top),
    inference(forward_demodulation,[],[f92287,f88437]) ).

fof(f92637,plain,
    ! [X0] : join(complement(top),complement(join(complement(X0),complement(top)))) = X0,
    inference(superposition,[],[f14988,f92326]) ).

fof(f92847,plain,
    ! [X0] : join(zero,complement(join(complement(X0),zero))) = X0,
    inference(forward_demodulation,[],[f92637,f37]) ).

fof(f92960,plain,
    ! [X0] : join(zero,complement(join(zero,complement(X0)))) = X0,
    inference(forward_demodulation,[],[f92847,f1]) ).

fof(f95113,plain,
    zero = join(zero,complement(top)),
    inference(superposition,[],[f92960,f15]) ).

fof(f95132,plain,
    zero = join(zero,zero),
    inference(forward_demodulation,[],[f95113,f37]) ).

fof(f95145,plain,
    ! [X0] : join(zero,X0) = join(zero,join(zero,X0)),
    inference(superposition,[],[f2,f95132]) ).

fof(f95193,plain,
    ! [X0] : join(zero,X0) = X0,
    inference(superposition,[],[f95145,f21205]) ).

fof(f95477,plain,
    ! [X0] : complement(join(zero,complement(X0))) = X0,
    inference(superposition,[],[f92960,f95193]) ).

fof(f95898,plain,
    ! [X0] : complement(complement(X0)) = X0,
    inference(forward_demodulation,[],[f95477,f95193]) ).

fof(f96424,plain,
    ! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
    inference(superposition,[],[f21205,f95898]) ).

fof(f96440,plain,
    ! [X0] : complement(X0) = complement(join(X0,X0)),
    inference(forward_demodulation,[],[f96424,f95193]) ).

fof(f96808,plain,
    ! [X0] : complement(complement(X0)) = join(X0,X0),
    inference(superposition,[],[f95898,f96440]) ).

fof(f96809,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(forward_demodulation,[],[f96808,f95898]) ).

fof(f97247,plain,
    join(sk2,sk3) = join(sk3,join(sk1,sk2)),
    inference(superposition,[],[f9604,f96809]) ).

fof(f97467,plain,
    sk3 = join(sk2,sk3),
    inference(forward_demodulation,[],[f97247,f31]) ).

fof(f97682,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f97467,f25]) ).

fof(f97683,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f97682]) ).

fof(f97988,plain,
    ( sk3 = join(sk3,sk2)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f24,f1]) ).

fof(f97989,plain,
    ( sk3 != join(sk3,sk1)
    | spl0_2 ),
    inference(forward_demodulation,[],[f29,f1]) ).

fof(f97996,plain,
    ( sk3 = join(sk1,sk3)
    | ~ spl0_1 ),
    inference(superposition,[],[f462,f97988]) ).

fof(f98061,plain,
    ( sk3 = join(sk3,sk1)
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f97996,f1]) ).

fof(f98097,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f98061,f97989]) ).

fof(f98098,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f98097]) ).

cnf(s16,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f30]) ).

cnf(s16529,plain,
    spl0_1,
    inference(sat_conversion,[],[f97683]) ).

cnf(s16618,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f98098]) ).

cnf(s16619,plain,
    spl0_2,
    inference(rat,[],[s16618,s16529]) ).

cnf(s16620,plain,
    $false,
    inference(rat,[],[s16,s16619,s16529]) ).

fof(f98099,plain,
    $false,
    inference(avatar_sat_refutation,[],[s16620]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : REL048-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42  % Computer : n026.cluster.edu
% 0.15/0.42  % Model    : x86_64 x86_64
% 0.15/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42  % Memory   : 8046.5625MB
% 0.15/0.42  % OS       : Linux 6.8.0-71-generic
% 0.15/0.42  % CPULimit : 300
% 0.15/0.42  % WCLimit  : 300
% 0.15/0.42  % DateTime : Sun Sep 27 22:59:56 UTC 2026
% 0.15/0.42  % CPUTime  : 
% 0.15/0.42  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.45  Running first-order model finding
% 0.15/0.45  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.76/2.47  % (3306985)Will run a generic schedule for satisfiability detection.
% 13.76/2.47  % (3306991)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1201426623_2999 on theBenchmark for (2999ds/0Mi)
% 13.76/2.47  % TRYING [1]
% 13.76/2.47  % TRYING [2]
% 13.76/2.47  % TRYING [3]
% 13.76/2.47  % (3306992)% WARNING: option uhcvi not known.
% 13.76/2.47  % TRYING [4]
% 13.76/2.47  % (3306992)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2593662519:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.76/2.47  % (3306994)dis+10_1_sil=32000:sp=arity:random_seed=980148334:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.76/2.47  % (3306993)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3605489869:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.76/2.47  % (3306996)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3412120956:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.76/2.47  % (3306995)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2488325032:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.76/2.47  % (3306997)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3413712507:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.76/2.47  % TRYING [5]
% 13.76/2.47  % (3306994)Instruction limit reached! 
% 13.76/2.47  % (3306994)------------------------------
% 13.76/2.47  % (3306994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3306994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3306994)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3306994)Termination reason: Instruction limit
% 13.76/2.47  % (3306994)Termination phase: Saturation
% 13.76/2.47  % (3306994)Time elapsed: 0.059 s
% 13.76/2.47  % (3306994)Peak memory usage: 12 MB
% 13.76/2.47  % (3306994)Instructions burned: 105 (million)
% 13.76/2.47  % (3306995)Instruction limit reached! 
% 13.76/2.47  % (3306995)------------------------------
% 13.76/2.47  % (3306995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3306995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3306995)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3306995)Termination reason: Instruction limit
% 13.76/2.47  % (3306995)Termination phase: Saturation
% 13.76/2.47  % (3306995)Time elapsed: 0.069 s
% 13.76/2.47  % (3306995)Peak memory usage: 13 MB
% 13.76/2.47  % (3306995)Instructions burned: 117 (million)
% 13.76/2.47  % (3306996)Instruction limit reached! 
% 13.76/2.47  % (3306996)------------------------------
% 13.76/2.47  % (3306996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3306996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3306996)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3306996)Termination reason: Instruction limit
% 13.76/2.47  % (3306996)Termination phase: Saturation
% 13.76/2.47  % (3306996)Time elapsed: 0.077 s
% 13.76/2.47  % (3306996)Peak memory usage: 13 MB
% 13.76/2.47  % (3306996)Instructions burned: 132 (million)
% 13.76/2.47  % (3307005)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1216079789:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 13.76/2.47  % TRYING [1]
% 13.76/2.47  % TRYING [2]
% 13.76/2.47  % (3307006)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=394382294:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 13.76/2.47  % TRYING [3]
% 13.76/2.47  % (3306997)Instruction limit reached! 
% 13.76/2.47  % (3306997)------------------------------
% 13.76/2.47  % (3306997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3306997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3306997)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3306997)Termination reason: Instruction limit
% 13.76/2.47  % (3306997)Termination phase: Saturation
% 13.76/2.47  % (3306997)Time elapsed: 0.096 s
% 13.76/2.47  % (3306997)Peak memory usage: 13 MB
% 13.76/2.47  % (3306997)Instructions burned: 159 (million)
% 13.76/2.47  % TRYING [4]
% 13.76/2.47  % (3307007)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2386213643:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.76/2.47  % (3307018)ott-21_1_sil=16000:fs=off:random_seed=674307723:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.76/2.47  % TRYING [6]
% 13.76/2.47  % TRYING [5]
% 13.76/2.47  % (3307006)Instruction limit reached! 
% 13.76/2.47  % (3307006)------------------------------
% 13.76/2.47  % (3307006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3307006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3307006)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3307006)Termination reason: Instruction limit
% 13.76/2.47  % (3307006)Termination phase: Saturation
% 13.76/2.47  % (3307006)Time elapsed: 0.085 s
% 13.76/2.47  % (3307006)Peak memory usage: 13 MB
% 13.76/2.47  % (3307006)Instructions burned: 131 (million)
% 13.76/2.47  % (3307052)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=516041531:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 13.76/2.47  % (3307018)Instruction limit reached! 
% 13.76/2.47  % (3307018)------------------------------
% 13.76/2.47  % (3307018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3307018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3307018)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3307018)Termination reason: Instruction limit
% 13.76/2.47  % (3307018)Termination phase: Saturation
% 13.76/2.47  % (3307018)Time elapsed: 0.082 s
% 13.76/2.47  % (3307018)Peak memory usage: 12 MB
% 13.76/2.47  % (3307018)Instructions burned: 182 (million)
% 13.76/2.47  % (3307064)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3645413681:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 13.76/2.47  % TRYING [1]
% 13.76/2.47  % TRYING [2]
% 13.76/2.47  % TRYING [3]
% 13.76/2.47  % TRYING [4]
% 13.76/2.47  % TRYING [5]
% 13.76/2.47  % TRYING [6]
% 13.76/2.47  % (3307005)Instruction limit reached! 
% 13.76/2.47  % (3307005)------------------------------
% 13.76/2.47  % (3307005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3307005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3307005)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3307005)Termination reason: Instruction limit
% 13.76/2.47  % (3307005)Termination phase: Finite model building constraint generation
% 13.76/2.47  % (3307005)Time elapsed: 0.355 s
% 13.76/2.47  % (3307005)Peak memory usage: 25 MB
% 13.76/2.47  % (3307005)Instructions burned: 716 (million)
% 13.76/2.47  % TRYING [6]
% 13.76/2.47  % (3307052)Instruction limit reached! 
% 13.76/2.47  % (3307052)------------------------------
% 13.76/2.47  % (3307052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3307052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3307052)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3307052)Termination reason: Instruction limit
% 13.76/2.47  % (3307052)Termination phase: Saturation
% 13.76/2.47  % (3307052)Time elapsed: 0.258 s
% 13.76/2.47  % (3307052)Peak memory usage: 16 MB
% 13.76/2.47  % (3307052)Instructions burned: 477 (million)
% 13.76/2.47  % (3307152)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1882956180:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 13.76/2.47  % (3307160)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4232555549:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 13.76/2.47  % (3307007)Instruction limit reached! 
% 13.76/2.47  % (3307007)------------------------------
% 13.76/2.47  % (3307007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3307007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3307007)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3307007)Termination reason: Instruction limit
% 13.76/2.47  % (3307007)Termination phase: Saturation
% 13.76/2.47  % (3307007)Time elapsed: 0.367 s
% 13.76/2.47  % (3307007)Peak memory usage: 18 MB
% 13.76/2.47  % (3307007)Instructions burned: 684 (million)
% 13.76/2.47  % (3307169)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1146333756:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 13.76/2.47  % TRYING [7]
% 13.76/2.47  % (3307064)Instruction limit reached! 
% 13.76/2.47  % (3307064)------------------------------
% 13.76/2.47  % (3307064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3307064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3307064)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3307064)Termination reason: Instruction limit
% 13.76/2.47  % (3307064)Termination phase: Finite model building SAT solving
% 13.76/2.47  % (3307064)Time elapsed: 0.344 s
% 13.76/2.47  % (3307064)Peak memory usage: 22 MB
% 13.76/2.47  % (3307064)Instructions burned: 868 (million)
% 13.76/2.47  % TRYING [14]
% 13.76/2.47  % (3307175)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2293188318:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 13.76/2.47  % (3307160)Instruction limit reached! 
% 13.76/2.47  % (3307160)------------------------------
% 13.76/2.47  % (3307160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3307160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3307160)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3307160)Termination reason: Instruction limit
% 13.76/2.47  % (3307160)Termination phase: Finite model building constraint generation
% 13.76/2.47  % (3307160)Time elapsed: 0.339 s
% 13.76/2.47  % (3307160)Peak memory usage: 82 MB
% 13.76/2.47  % (3307160)Instructions burned: 892 (million)
% 13.76/2.47  % (3307178)fmb+10_1_sil=64000:random_seed=3005190296:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 13.76/2.47  % TRYING [1]
% 13.76/2.47  % TRYING [2]
% 13.76/2.47  % TRYING [3]
% 13.76/2.47  % (3307169)Instruction limit reached! 
% 13.76/2.47  % (3307169)------------------------------
% 13.76/2.47  % (3307169)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3307169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3307169)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3307169)Termination reason: Instruction limit
% 13.76/2.47  % (3307169)Termination phase: Saturation
% 13.76/2.47  % (3307169)Time elapsed: 0.364 s
% 13.76/2.47  % (3307169)Peak memory usage: 15 MB
% 13.76/2.47  % (3307169)Instructions burned: 694 (million)
% 13.76/2.47  % TRYING [4]
% 13.76/2.47  % (3307180)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=376484432:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 13.76/2.47  % TRYING [20]
% 13.76/2.47  % TRYING [5]
% 13.76/2.47  % (3307175)Instruction limit reached! 
% 13.76/2.47  % (3307175)------------------------------
% 13.76/2.47  % (3307175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3307175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3307175)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3307175)Termination reason: Instruction limit
% 13.76/2.47  % (3307175)Termination phase: Saturation
% 13.76/2.47  % (3307175)Time elapsed: 0.460 s
% 13.76/2.47  % (3307175)Peak memory usage: 18 MB
% 13.76/2.47  % (3307175)Instructions burned: 880 (million)
% 13.76/2.47  % (3307182)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2094444641:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 13.76/2.47  % TRYING [8]
% 13.76/2.47  % TRYING [6]
% 13.76/2.47  % (3307152)Instruction limit reached! 
% 13.76/2.47  % (3307152)------------------------------
% 13.76/2.47  % (3307152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3307152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3307152)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3307152)Termination reason: Instruction limit
% 13.76/2.47  % (3307152)Termination phase: Saturation
% 13.76/2.47  % (3307152)Time elapsed: 0.671 s
% 13.76/2.47  % (3307152)Peak memory usage: 21 MB
% 13.76/2.47  % (3307152)Instructions burned: 1180 (million)
% 13.76/2.47  % (3307184)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=980520285:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 13.76/2.47  % (3307182)Instruction limit reached! 
% 13.76/2.47  % (3307182)------------------------------
% 13.76/2.47  % (3307182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.47  % (3307182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.47  % (3307182)CaDiCaL version: 2.1.3
% 13.76/2.47  % (3307182)Termination reason: Instruction limit
% 13.76/2.47  % (3307182)Termination phase: Finite model building SAT solving
% 13.76/2.47  % (3307182)Time elapsed: 0.372 s
% 13.76/2.47  % (3307182)Peak memory usage: 65 MB
% 13.76/2.47  % (3307182)Instructions burned: 921 (million)
% 13.76/2.47  % (3307186)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1482211889:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 13.76/2.47  % TRYING [7]
% 13.76/2.47  % (3306993) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3306985-3306993"...
% 13.76/2.47  % (3306993)...printing done.
% 13.76/2.47  % (3306993)Refutation found. Thanks to Tanya!
% 13.76/2.47  % SZS status Unsatisfiable for theBenchmark
% 13.76/2.47  % SZS output start Proof for theBenchmark
% See solution above
% 13.76/2.48  % (3306993)------------------------------
% 13.76/2.48  % (3306993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.76/2.48  % (3306993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.76/2.48  % (3306993)CaDiCaL version: 2.1.3
% 13.76/2.48  % (3306993)Termination reason: Refutation
% 13.76/2.48  % (3306993)Time elapsed: 1.939 s
% 13.76/2.48  % (3306993)Peak memory usage: 37 MB
% 13.76/2.48  % (3306993)Instructions burned: 3714 (million)
% 13.76/2.48  % (3306985)Success in time 2.016 s
% 13.76/2.48  % Vampire exiting
%------------------------------------------------------------------------------