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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : REL005-2 : 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 : 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 12:34:12 PM UTC 2026

% Result   : Unsatisfiable 69.01s 15.22s
% Output   : Refutation 69.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   53
%            Number of leaves      :   14
% Syntax   : Number of formulae    :  134 ( 114 unt;   2 def)
%            Number of atoms       :  154 ( 127 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   41 (  21   ~;  18   |;   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    :   10 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :  156 (   0 sgn 156   !;   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(converse(meet(sk1,sk2)),meet(converse(sk1),converse(sk2))) != meet(converse(sk1),converse(sk2))
    | join(meet(converse(sk1),converse(sk2)),converse(meet(sk1,sk2))) != converse(meet(sk1,sk2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).

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

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

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

fof(f22,definition,
    ( spl0_1
  <=> converse(complement(join(complement(sk1),complement(sk2)))) = join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),converse(complement(join(complement(sk1),complement(sk2))))) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f24,plain,
    ( converse(complement(join(complement(sk1),complement(sk2)))) != join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),converse(complement(join(complement(sk1),complement(sk2)))))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f26,definition,
    ( spl0_2
  <=> complement(join(complement(converse(sk1)),complement(converse(sk2)))) = join(converse(complement(join(complement(sk1),complement(sk2)))),complement(join(complement(converse(sk1)),complement(converse(sk2))))) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f28,plain,
    ( complement(join(complement(converse(sk1)),complement(converse(sk2)))) != join(converse(complement(join(complement(sk1),complement(sk2)))),complement(join(complement(converse(sk1)),complement(converse(sk2)))))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f26]) ).

fof(f29,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f20,f26,f22]) ).

fof(f30,plain,
    ! [X0,X1] : join(X0,complement(X0)) = join(X1,complement(X1)),
    inference(superposition,[],[f15,f15]) ).

fof(f33,plain,
    zero = complement(top),
    inference(superposition,[],[f19,f15]) ).

fof(f46,plain,
    ! [X0] : zero = complement(join(X0,complement(X0))),
    inference(superposition,[],[f19,f30]) ).

fof(f53,plain,
    ! [X0] : complement(top) = complement(join(X0,complement(X0))),
    inference(superposition,[],[f46,f33]) ).

fof(f83,plain,
    ! [X0] : top = join(top,complement(join(X0,complement(X0)))),
    inference(superposition,[],[f15,f53]) ).

fof(f198,plain,
    ! [X0] : join(converse(X0),converse(complement(X0))) = converse(top),
    inference(superposition,[],[f11,f15]) ).

fof(f212,plain,
    ! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
    inference(superposition,[],[f198,f10]) ).

fof(f255,plain,
    ! [X0] : converse(X0) = composition(converse(one),converse(X0)),
    inference(superposition,[],[f12,f8]) ).

fof(f274,plain,
    ! [X0] : composition(converse(one),X0) = X0,
    inference(superposition,[],[f255,f10]) ).

fof(f282,plain,
    one = converse(one),
    inference(superposition,[],[f274,f8]) ).

fof(f287,plain,
    ! [X0] : composition(one,X0) = X0,
    inference(superposition,[],[f274,f282]) ).

fof(f548,plain,
    ! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[],[f2,f15]) ).

fof(f549,plain,
    ! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
    inference(superposition,[],[f2,f1]) ).

fof(f561,plain,
    ! [X0,X1] : top = join(X0,join(X1,complement(join(X0,X1)))),
    inference(superposition,[],[f2,f15]) ).

fof(f562,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
    inference(superposition,[],[f2,f1]) ).

fof(f659,plain,
    ! [X0] : join(X0,top) = join(top,complement(complement(X0))),
    inference(superposition,[],[f548,f15]) ).

fof(f669,plain,
    ! [X0,X1] : join(X1,join(complement(X1),X0)) = join(X0,top),
    inference(superposition,[],[f548,f1]) ).

fof(f740,plain,
    ! [X0] : join(top,X0) = join(top,complement(complement(X0))),
    inference(superposition,[],[f659,f1]) ).

fof(f750,plain,
    ! [X0] : join(X0,top) = join(complement(complement(X0)),top),
    inference(superposition,[],[f659,f1]) ).

fof(f789,plain,
    ! [X0] : join(top,X0) = join(complement(complement(X0)),top),
    inference(superposition,[],[f740,f1]) ).

fof(f1977,plain,
    ! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(superposition,[],[f549,f2]) ).

fof(f7996,plain,
    ! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
    inference(forward_demodulation,[],[f14,f1]) ).

fof(f11313,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
    inference(superposition,[],[f7996,f274]) ).

fof(f11365,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(X0)),
    inference(forward_demodulation,[],[f11313,f287]) ).

fof(f11414,plain,
    ! [X0] : join(X0,complement(X0)) = join(complement(X0),top),
    inference(superposition,[],[f669,f11365]) ).

fof(f11508,plain,
    ! [X0] : top = join(complement(X0),join(top,complement(join(X0,complement(X0))))),
    inference(superposition,[],[f561,f11414]) ).

fof(f11554,plain,
    ! [X0] : top = join(complement(X0),top),
    inference(forward_demodulation,[],[f11508,f83]) ).

fof(f11613,plain,
    ! [X0] : top = join(top,X0),
    inference(superposition,[],[f11554,f789]) ).

fof(f11614,plain,
    ! [X0] : top = join(X0,top),
    inference(superposition,[],[f11554,f750]) ).

fof(f11745,plain,
    top = converse(top),
    inference(superposition,[],[f11613,f212]) ).

fof(f12156,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(forward_demodulation,[],[f4,f1]) ).

fof(f13779,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
    inference(superposition,[],[f12156,f12156]) ).

fof(f13783,plain,
    ! [X0] : join(complement(join(complement(X0),complement(X0))),complement(top)) = X0,
    inference(superposition,[],[f12156,f15]) ).

fof(f13798,plain,
    ! [X0,X1] : converse(X0) = join(converse(complement(join(complement(X0),X1))),converse(complement(join(complement(X0),complement(X1))))),
    inference(superposition,[],[f11,f12156]) ).

fof(f13853,plain,
    ! [X0] : join(complement(complement(X0)),complement(top)) = X0,
    inference(forward_demodulation,[],[f13783,f11365]) ).

fof(f13857,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
    inference(forward_demodulation,[],[f13779,f1]) ).

fof(f13918,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
    inference(forward_demodulation,[],[f13857,f562]) ).

fof(f13956,plain,
    ! [X0] : join(complement(top),complement(complement(X0))) = X0,
    inference(superposition,[],[f13853,f1]) ).

fof(f13959,plain,
    ! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),top)),complement(X0)),
    inference(superposition,[],[f12156,f13853]) ).

fof(f14023,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(join(complement(complement(X0)),top))),
    inference(forward_demodulation,[],[f13959,f1]) ).

fof(f14041,plain,
    ! [X0] : complement(X0) = join(complement(X0),complement(top)),
    inference(forward_demodulation,[],[f14023,f11614]) ).

fof(f14498,plain,
    ! [X0] : complement(complement(X0)) = X0,
    inference(superposition,[],[f14041,f13853]) ).

fof(f14594,plain,
    ! [X0] : join(X0,complement(top)) = X0,
    inference(superposition,[],[f13853,f14498]) ).

fof(f14595,plain,
    ! [X0] : join(complement(top),X0) = X0,
    inference(superposition,[],[f13956,f14498]) ).

fof(f14634,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(superposition,[],[f11365,f14498]) ).

fof(f14635,plain,
    ! [X0] : join(complement(X0),X0) = join(X0,top),
    inference(superposition,[],[f11414,f14498]) ).

fof(f14653,plain,
    ! [X0] : join(X0,complement(X0)) = join(X0,top),
    inference(forward_demodulation,[],[f14635,f1]) ).

fof(f14710,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
    inference(superposition,[],[f2,f14634]) ).

fof(f14839,plain,
    ! [X0,X1] : join(X1,complement(join(X0,complement(X0)))) = X1,
    inference(superposition,[],[f14594,f15]) ).

fof(f15574,plain,
    ! [X0,X1] : join(X1,join(X0,complement(X0))) = join(X0,join(X1,top)),
    inference(superposition,[],[f1977,f14653]) ).

fof(f15650,plain,
    ! [X0,X1] : join(X0,top) = join(X1,join(X0,complement(X0))),
    inference(forward_demodulation,[],[f15574,f11614]) ).

fof(f17592,plain,
    ! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = X0,
    inference(superposition,[],[f14710,f12156]) ).

fof(f17773,plain,
    ! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
    inference(forward_demodulation,[],[f17592,f1]) ).

fof(f20489,plain,
    ! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
    inference(superposition,[],[f17773,f1]) ).

fof(f21876,plain,
    ! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
    inference(superposition,[],[f20489,f14498]) ).

fof(f30733,plain,
    ! [X0,X1] : converse(join(X0,top)) = join(converse(X1),converse(join(X0,complement(X0)))),
    inference(superposition,[],[f11,f15650]) ).

fof(f30877,plain,
    ! [X0,X1] : converse(join(X0,top)) = join(converse(X1),join(converse(X0),converse(complement(X0)))),
    inference(forward_demodulation,[],[f30733,f11]) ).

fof(f31089,plain,
    ! [X0,X1] : join(converse(X0),converse(top)) = join(converse(X1),join(converse(X0),converse(complement(X0)))),
    inference(forward_demodulation,[],[f30877,f11]) ).

fof(f31207,plain,
    ! [X0,X1] : join(converse(X0),top) = join(converse(X1),join(converse(X0),converse(complement(X0)))),
    inference(forward_demodulation,[],[f31089,f11745]) ).

fof(f31259,plain,
    ! [X0,X1] : top = join(converse(X1),join(converse(X0),converse(complement(X0)))),
    inference(forward_demodulation,[],[f31207,f11614]) ).

fof(f80461,plain,
    ! [X0,X1] : top = join(X0,join(converse(X1),converse(complement(X1)))),
    inference(superposition,[],[f31259,f10]) ).

fof(f82294,plain,
    ! [X0] : top = join(X0,join(one,converse(complement(one)))),
    inference(superposition,[],[f80461,f282]) ).

fof(f83279,plain,
    top = join(one,converse(complement(one))),
    inference(superposition,[],[f82294,f14595]) ).

fof(f96654,plain,
    ! [X0,X1] : converse(join(X0,complement(X0))) = join(converse(complement(join(zero,X1))),converse(complement(join(zero,complement(X1))))),
    inference(superposition,[],[f13798,f46]) ).

fof(f96942,plain,
    ! [X0,X1] : converse(join(X0,complement(X0))) = join(converse(complement(join(complement(top),X1))),converse(complement(join(complement(top),complement(X1))))),
    inference(forward_demodulation,[],[f96654,f33]) ).

fof(f97242,plain,
    ! [X0] : converse(join(X0,complement(X0))) = converse(top),
    inference(forward_demodulation,[],[f96942,f13798]) ).

fof(f97501,plain,
    ! [X0] : converse(join(X0,complement(X0))) = converse(join(one,converse(complement(one)))),
    inference(forward_demodulation,[],[f97242,f83279]) ).

fof(f97699,plain,
    ! [X0] : converse(join(X0,complement(X0))) = join(converse(one),converse(converse(complement(one)))),
    inference(forward_demodulation,[],[f97501,f11]) ).

fof(f97823,plain,
    ! [X0] : converse(join(X0,complement(X0))) = join(converse(one),complement(one)),
    inference(forward_demodulation,[],[f97699,f10]) ).

fof(f97877,plain,
    ! [X0] : converse(join(X0,complement(X0))) = join(complement(one),converse(one)),
    inference(forward_demodulation,[],[f97823,f1]) ).

fof(f97901,plain,
    ! [X0] : converse(join(X0,complement(X0))) = join(complement(one),one),
    inference(forward_demodulation,[],[f97877,f282]) ).

fof(f97921,plain,
    ! [X0] : converse(join(X0,complement(X0))) = join(one,complement(one)),
    inference(forward_demodulation,[],[f97901,f1]) ).

fof(f97936,plain,
    ! [X0] : join(converse(X0),converse(complement(X0))) = join(one,complement(one)),
    inference(forward_demodulation,[],[f97921,f11]) ).

fof(f101635,plain,
    ! [X0] : join(X0,converse(complement(converse(X0)))) = join(one,complement(one)),
    inference(superposition,[],[f97936,f10]) ).

fof(f101692,plain,
    ! [X0,X1] : join(X0,complement(X0)) = join(converse(X1),converse(complement(X1))),
    inference(superposition,[],[f97936,f30]) ).

fof(f104683,plain,
    ! [X0,X1] : join(complement(join(complement(X1),complement(X1))),complement(join(converse(X0),converse(complement(X0))))) = X1,
    inference(superposition,[],[f12156,f101692]) ).

fof(f104823,plain,
    ! [X0,X1] : join(complement(complement(X1)),complement(join(converse(X0),converse(complement(X0))))) = X1,
    inference(forward_demodulation,[],[f104683,f14634]) ).

fof(f105027,plain,
    ! [X0,X1] : join(X1,complement(join(converse(X0),converse(complement(X0))))) = X1,
    inference(forward_demodulation,[],[f104823,f14498]) ).

fof(f148902,plain,
    ! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),complement(X1)))),
    inference(forward_demodulation,[],[f13918,f21876]) ).

fof(f155244,plain,
    ! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
    inference(superposition,[],[f148902,f14498]) ).

fof(f155998,plain,
    ! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X1,X0))),
    inference(superposition,[],[f155244,f14498]) ).

fof(f156881,plain,
    ! [X0] : join(X0,complement(join(one,complement(one)))) = join(X0,complement(converse(complement(converse(X0))))),
    inference(superposition,[],[f155998,f101635]) ).

fof(f157049,plain,
    ! [X0] : converse(X0) = join(converse(X0),complement(converse(complement(X0)))),
    inference(superposition,[],[f155998,f105027]) ).

fof(f157464,plain,
    ! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
    inference(forward_demodulation,[],[f156881,f14839]) ).

fof(f160016,plain,
    ! [X0] : converse(converse(X0)) = join(converse(converse(X0)),converse(complement(converse(complement(X0))))),
    inference(superposition,[],[f11,f157049]) ).

fof(f160075,plain,
    ! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
    inference(forward_demodulation,[],[f160016,f10]) ).

fof(f160630,plain,
    ! [X0] : complement(converse(complement(converse(complement(X0))))) = join(complement(converse(complement(converse(complement(X0))))),complement(X0)),
    inference(superposition,[],[f21876,f160075]) ).

fof(f160710,plain,
    ! [X0] : complement(converse(complement(converse(complement(X0))))) = join(complement(X0),complement(converse(complement(converse(complement(X0)))))),
    inference(forward_demodulation,[],[f160630,f1]) ).

fof(f160808,plain,
    ! [X0] : complement(X0) = complement(converse(complement(converse(complement(X0))))),
    inference(forward_demodulation,[],[f160710,f157464]) ).

fof(f161130,plain,
    ! [X0,X1] : join(converse(complement(join(complement(X0),X1))),converse(complement(join(complement(X0),complement(X1))))) = converse(converse(complement(converse(complement(X0))))),
    inference(superposition,[],[f13798,f160808]) ).

fof(f161418,plain,
    ! [X0,X1] : complement(converse(complement(X0))) = join(converse(complement(join(complement(X0),X1))),converse(complement(join(complement(X0),complement(X1))))),
    inference(forward_demodulation,[],[f161130,f10]) ).

fof(f161633,plain,
    ! [X0] : converse(X0) = complement(converse(complement(X0))),
    inference(forward_demodulation,[],[f161418,f13798]) ).

fof(f163283,plain,
    ! [X0] : converse(complement(X0)) = complement(converse(X0)),
    inference(superposition,[],[f161633,f14498]) ).

fof(f165354,plain,
    ( complement(converse(join(complement(sk1),complement(sk2)))) != join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),complement(converse(join(complement(sk1),complement(sk2)))))
    | spl0_1 ),
    inference(superposition,[],[f24,f163283]) ).

fof(f165655,plain,
    ( complement(join(converse(complement(sk1)),converse(complement(sk2)))) != join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),complement(join(converse(complement(sk1)),converse(complement(sk2)))))
    | spl0_1 ),
    inference(forward_demodulation,[],[f165354,f11]) ).

fof(f165827,plain,
    ( complement(join(converse(complement(sk1)),complement(converse(sk2)))) != join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),complement(join(converse(complement(sk1)),complement(converse(sk2)))))
    | spl0_1 ),
    inference(forward_demodulation,[],[f165655,f163283]) ).

fof(f165961,plain,
    ( complement(join(complement(converse(sk1)),complement(converse(sk2)))) != join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),complement(join(complement(converse(sk1)),complement(converse(sk2)))))
    | spl0_1 ),
    inference(forward_demodulation,[],[f165827,f163283]) ).

fof(f166026,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f165961,f11365]) ).

fof(f166027,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f166026]) ).

fof(f166193,plain,
    ( complement(join(complement(converse(sk1)),complement(converse(sk2)))) != join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),converse(complement(join(complement(sk1),complement(sk2)))))
    | spl0_2 ),
    inference(forward_demodulation,[],[f28,f1]) ).

fof(f166195,plain,
    ( complement(join(complement(converse(sk1)),complement(converse(sk2)))) != join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),complement(converse(join(complement(sk1),complement(sk2)))))
    | spl0_2 ),
    inference(forward_demodulation,[],[f166193,f163283]) ).

fof(f166197,plain,
    ( complement(join(complement(converse(sk1)),complement(converse(sk2)))) != join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),complement(join(converse(complement(sk1)),converse(complement(sk2)))))
    | spl0_2 ),
    inference(forward_demodulation,[],[f166195,f11]) ).

fof(f166199,plain,
    ( complement(join(complement(converse(sk1)),complement(converse(sk2)))) != join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),complement(join(converse(complement(sk1)),complement(converse(sk2)))))
    | spl0_2 ),
    inference(forward_demodulation,[],[f166197,f163283]) ).

fof(f166200,plain,
    ( complement(join(complement(converse(sk1)),complement(converse(sk2)))) != join(complement(join(complement(converse(sk1)),complement(converse(sk2)))),complement(join(complement(converse(sk1)),complement(converse(sk2)))))
    | spl0_2 ),
    inference(forward_demodulation,[],[f166199,f163283]) ).

fof(f166201,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[],[f166200,f11365]) ).

fof(f166202,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f166201]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(sat_conversion,[],[f29]) ).

cnf(s2,plain,
    spl0_1,
    inference(sat_conversion,[],[f166027]) ).

cnf(s3,plain,
    spl0_2,
    inference(sat_conversion,[],[f166202]) ).

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

fof(f166203,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : REL005-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n002.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sun Sep 27 22:52:37 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42  Running first-order model finding
% 0.11/0.42  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
% 18.47/3.05  % (3973050)Will run a generic schedule for satisfiability detection.
% 18.47/3.05  % (3973064)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3822128401:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 18.47/3.05  % (3973063)% WARNING: option uhcvi not known.
% 18.47/3.05  % (3973065)dis+10_1_sil=32000:sp=arity:random_seed=456050845:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 18.47/3.05  % (3973062)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=363844329_2999 on theBenchmark for (2999ds/0Mi)
% 18.47/3.05  % (3973063)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1494721470:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 18.47/3.05  % (3973066)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4115718509:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 18.47/3.05  % (3973067)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2974757756:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 18.47/3.05  % (3973068)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=177644823:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 18.47/3.05  % TRYING [1]
% 18.47/3.05  % TRYING [2]
% 18.47/3.05  % TRYING [3]
% 18.47/3.05  % TRYING [4]
% 18.47/3.05  % (3973065)Instruction limit reached! 
% 18.47/3.05  % (3973065)------------------------------
% 18.47/3.05  % (3973065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.47/3.05  % (3973065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.47/3.05  % (3973065)CaDiCaL version: 2.1.3
% 18.47/3.05  % (3973065)Termination reason: Instruction limit
% 18.47/3.05  % (3973065)Termination phase: Saturation
% 18.47/3.05  % (3973065)Time elapsed: 0.061 s
% 18.47/3.05  % (3973065)Peak memory usage: 12 MB
% 18.47/3.05  % (3973065)Instructions burned: 105 (million)
% 18.47/3.05  % TRYING [5]
% 18.47/3.05  % (3973066)Instruction limit reached! 
% 18.47/3.05  % (3973066)------------------------------
% 18.47/3.05  % (3973066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.47/3.05  % (3973066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.47/3.05  % (3973066)CaDiCaL version: 2.1.3
% 18.47/3.05  % (3973066)Termination reason: Instruction limit
% 18.47/3.05  % (3973066)Termination phase: Saturation
% 18.47/3.05  % (3973066)Time elapsed: 0.072 s
% 18.47/3.05  % (3973066)Peak memory usage: 12 MB
% 18.47/3.05  % (3973066)Instructions burned: 117 (million)
% 18.47/3.05  % (3973067)Instruction limit reached! 
% 18.47/3.05  % (3973067)------------------------------
% 18.47/3.05  % (3973067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.47/3.05  % (3973067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.47/3.05  % (3973067)CaDiCaL version: 2.1.3
% 18.47/3.05  % (3973067)Termination reason: Instruction limit
% 18.47/3.05  % (3973067)Termination phase: Saturation
% 18.47/3.05  % (3973067)Time elapsed: 0.077 s
% 18.47/3.05  % (3973067)Peak memory usage: 12 MB
% 18.47/3.05  % (3973067)Instructions burned: 132 (million)
% 18.47/3.05  % (3973106)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3640627595:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 18.47/3.05  % TRYING [1]
% 18.47/3.05  % TRYING [2]
% 18.47/3.05  % TRYING [3]
% 18.47/3.05  % (3973112)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=933191956:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 18.47/3.05  % (3973068)Instruction limit reached! 
% 18.47/3.05  % (3973068)------------------------------
% 18.47/3.05  % (3973068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.47/3.05  % (3973068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.47/3.05  % (3973068)CaDiCaL version: 2.1.3
% 18.47/3.05  % (3973068)Termination reason: Instruction limit
% 18.47/3.05  % (3973068)Termination phase: Saturation
% 18.47/3.05  % (3973068)Time elapsed: 0.096 s
% 18.47/3.05  % (3973068)Peak memory usage: 13 MB
% 18.47/3.05  % (3973068)Instructions burned: 160 (million)
% 18.47/3.05  % TRYING [4]
% 18.47/3.05  % (3973117)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=2256961443:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 18.47/3.05  % (3973127)ott-21_1_sil=16000:fs=off:random_seed=2852365290:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 18.47/3.05  % TRYING [5]
% 18.47/3.05  % (3973112)Instruction limit reached! 
% 18.47/3.05  % (3973112)------------------------------
% 18.47/3.05  % (3973112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.94/7.91  % (3973112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.94/7.91  % (3973112)CaDiCaL version: 2.1.3
% 52.94/7.91  % (3973112)Termination reason: Instruction limit
% 52.94/7.91  % (3973112)Termination phase: Saturation
% 52.94/7.91  % (3973112)Time elapsed: 0.086 s
% 52.94/7.91  % (3973112)Peak memory usage: 13 MB
% 52.94/7.91  % (3973112)Instructions burned: 132 (million)
% 52.94/7.91  % (3973147)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=325674663:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 52.94/7.91  % (3973127)Instruction limit reached! 
% 52.94/7.91  % (3973127)------------------------------
% 52.94/7.91  % (3973127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.94/7.91  % (3973127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.94/7.91  % (3973127)CaDiCaL version: 2.1.3
% 52.94/7.91  % (3973127)Termination reason: Instruction limit
% 52.94/7.91  % (3973127)Termination phase: Saturation
% 52.94/7.91  % (3973127)Time elapsed: 0.105 s
% 52.94/7.91  % (3973127)Peak memory usage: 12 MB
% 52.94/7.91  % (3973127)Instructions burned: 182 (million)
% 52.94/7.91  % TRYING [6]
% 52.94/7.91  % (3973156)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2768868440:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 52.94/7.91  % TRYING [1]
% 52.94/7.91  % TRYING [2]
% 52.94/7.91  % TRYING [3]
% 52.94/7.91  % TRYING [4]
% 52.94/7.91  % TRYING [5]
% 52.94/7.91  % TRYING [6]
% 52.94/7.91  % (3973106)Instruction limit reached! 
% 52.94/7.91  % (3973106)------------------------------
% 52.94/7.91  % (3973106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.94/7.91  % (3973106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.94/7.91  % (3973106)CaDiCaL version: 2.1.3
% 52.94/7.91  % (3973106)Termination reason: Instruction limit
% 52.94/7.91  % (3973106)Termination phase: Finite model building constraint generation
% 52.94/7.91  % (3973106)Time elapsed: 0.356 s
% 52.94/7.91  % (3973106)Peak memory usage: 23 MB
% 52.94/7.91  % (3973106)Instructions burned: 715 (million)
% 52.94/7.91  % (3973173)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4120397553:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 52.94/7.91  % (3973147)Instruction limit reached! 
% 52.94/7.91  % (3973147)------------------------------
% 52.94/7.91  % (3973147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.94/7.91  % (3973147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.94/7.91  % (3973147)CaDiCaL version: 2.1.3
% 52.94/7.91  % (3973147)Termination reason: Instruction limit
% 52.94/7.91  % (3973147)Termination phase: Saturation
% 52.94/7.91  % (3973147)Time elapsed: 0.261 s
% 52.94/7.91  % (3973147)Peak memory usage: 15 MB
% 52.94/7.91  % (3973147)Instructions burned: 477 (million)
% 52.94/7.91  % (3973117)Instruction limit reached! 
% 52.94/7.91  % (3973117)------------------------------
% 52.94/7.91  % (3973117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.94/7.91  % (3973117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.94/7.91  % (3973117)CaDiCaL version: 2.1.3
% 52.94/7.91  % (3973117)Termination reason: Instruction limit
% 52.94/7.91  % (3973117)Termination phase: Saturation
% 52.94/7.91  % (3973117)Time elapsed: 0.366 s
% 52.94/7.91  % (3973117)Peak memory usage: 18 MB
% 52.94/7.91  % (3973117)Instructions burned: 686 (million)
% 52.94/7.91  % (3973175)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3526907638:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 52.94/7.91  % (3973176)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=1295946712: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)
% 52.94/7.91  % TRYING [6]
% 52.94/7.91  % TRYING [14]
% 52.94/7.91  % (3973156)Instruction limit reached! 
% 52.94/7.91  % (3973156)------------------------------
% 52.94/7.91  % (3973156)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 52.94/7.91  % (3973156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.94/7.91  % (3973156)CaDiCaL version: 2.1.3
% 52.94/7.91  % (3973156)Termination reason: Instruction limit
% 52.94/7.91  % (3973156)Termination phase: Finite model building SAT solving
% 52.94/7.91  % (3973156)Time elapsed: 0.352 s
% 52.94/7.91  % (3973156)Peak memory usage: 22 MB
% 52.94/7.91  % (3973156)Instructions burned: 867 (million)
% 52.94/7.91  % (3973187)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3749681772:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 52.94/7.91  % (3973175)Instruction limit reached! 
% 69.01/15.22  % (3973175)------------------------------
% 69.01/15.22  % (3973175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973175)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973175)Termination reason: Instruction limit
% 69.01/15.22  % (3973175)Termination phase: Finite model building constraint generation
% 69.01/15.22  % (3973175)Time elapsed: 0.342 s
% 69.01/15.22  % (3973175)Peak memory usage: 82 MB
% 69.01/15.22  % (3973175)Instructions burned: 891 (million)
% 69.01/15.22  % (3973194)fmb+10_1_sil=64000:random_seed=1755813869:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 69.01/15.22  % TRYING [1]
% 69.01/15.22  % TRYING [2]
% 69.01/15.22  % TRYING [3]
% 69.01/15.22  % TRYING [4]
% 69.01/15.22  % (3973176)Instruction limit reached! 
% 69.01/15.22  % (3973176)------------------------------
% 69.01/15.22  % (3973176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973176)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973176)Termination reason: Instruction limit
% 69.01/15.22  % (3973176)Termination phase: Saturation
% 69.01/15.22  % (3973176)Time elapsed: 0.400 s
% 69.01/15.22  % (3973176)Peak memory usage: 17 MB
% 69.01/15.22  % (3973176)Instructions burned: 692 (million)
% 69.01/15.22  % (3973196)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3788747775:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 69.01/15.22  % TRYING [20]
% 69.01/15.22  % TRYING [5]
% 69.01/15.22  % TRYING [7]
% 69.01/15.22  % (3973187)Instruction limit reached! 
% 69.01/15.22  % (3973187)------------------------------
% 69.01/15.22  % (3973187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973187)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973187)Termination reason: Instruction limit
% 69.01/15.22  % (3973187)Termination phase: Saturation
% 69.01/15.22  % (3973187)Time elapsed: 0.543 s
% 69.01/15.22  % (3973187)Peak memory usage: 19 MB
% 69.01/15.22  % (3973187)Instructions burned: 879 (million)
% 69.01/15.22  % TRYING [6]
% 69.01/15.22  % (3973213)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=992326370:fmbsr=1.7:i=920_2987 on theBenchmark for (2987ds/920Mi)
% 69.01/15.22  % TRYING [8]
% 69.01/15.22  % (3973173)Instruction limit reached! 
% 69.01/15.22  % (3973173)------------------------------
% 69.01/15.22  % (3973173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973173)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973173)Termination reason: Instruction limit
% 69.01/15.22  % (3973173)Termination phase: Saturation
% 69.01/15.22  % (3973173)Time elapsed: 0.773 s
% 69.01/15.22  % (3973173)Peak memory usage: 21 MB
% 69.01/15.22  % (3973173)Instructions burned: 1180 (million)
% 69.01/15.22  % (3973216)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=522629003:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 69.01/15.22  % (3973213)Instruction limit reached! 
% 69.01/15.22  % (3973213)------------------------------
% 69.01/15.22  % (3973213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973213)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973213)Termination reason: Instruction limit
% 69.01/15.22  % (3973213)Termination phase: Finite model building SAT solving
% 69.01/15.22  % (3973213)Time elapsed: 0.657 s
% 69.01/15.22  % (3973213)Peak memory usage: 65 MB
% 69.01/15.22  % (3973213)Instructions burned: 920 (million)
% 69.01/15.22  % (3973231)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2676265604:i=1472:ins=7:fdi=8:gsp=on_2980 on theBenchmark for (2980ds/1472Mi)
% 69.01/15.22  % TRYING [7]
% 69.01/15.22  % (3973231)Instruction limit reached! 
% 69.01/15.22  % (3973231)------------------------------
% 69.01/15.22  % (3973231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973231)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973231)Termination reason: Instruction limit
% 69.01/15.22  % (3973231)Termination phase: Saturation
% 69.01/15.22  % (3973231)Time elapsed: 0.676 s
% 69.01/15.22  % (3973231)Peak memory usage: 26 MB
% 69.01/15.22  % (3973231)Instructions burned: 1473 (million)
% 69.01/15.22  % (3973244)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1077309537:i=6324_2974 on theBenchmark for (2974ds/6324Mi)
% 69.01/15.22  % TRYING [77]
% 69.01/15.22  % (3973244)Instruction limit reached! 
% 69.01/15.22  % (3973244)------------------------------
% 69.01/15.22  % (3973244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973244)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973244)Termination reason: Instruction limit
% 69.01/15.22  % (3973244)Termination phase: Finite model building constraint generation
% 69.01/15.22  % (3973244)Time elapsed: 1.556 s
% 69.01/15.22  % (3973244)Peak memory usage: 514 MB
% 69.01/15.22  % (3973244)Instructions burned: 6328 (million)
% 69.01/15.22  % (3973347)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2825236980:fmbsr=2.30978:i=2174_2957 on theBenchmark for (2957ds/2174Mi)
% 69.01/15.22  % TRYING [16]
% 69.01/15.22  % (3973347)Instruction limit reached! 
% 69.01/15.22  % (3973347)------------------------------
% 69.01/15.22  % (3973347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973347)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973347)Termination reason: Instruction limit
% 69.01/15.22  % (3973347)Termination phase: Finite model building constraint generation
% 69.01/15.22  % (3973347)Time elapsed: 0.401 s
% 69.01/15.22  % (3973347)Peak memory usage: 135 MB
% 69.01/15.22  % (3973347)Instructions burned: 2178 (million)
% 69.01/15.22  % (3973362)ott-2_1_sil=16000:newcnf=on:random_seed=2511070109:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2953 on theBenchmark for (2953ds/869Mi)
% 69.01/15.22  % (3973216)Instruction limit reached! 
% 69.01/15.22  % (3973216)------------------------------
% 69.01/15.22  % (3973216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973216)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973216)Termination reason: Instruction limit
% 69.01/15.22  % (3973216)Termination phase: Saturation
% 69.01/15.22  % (3973216)Time elapsed: 3.441 s
% 69.01/15.22  % (3973216)Peak memory usage: 50 MB
% 69.01/15.22  % (3973216)Instructions burned: 5131 (million)
% 69.01/15.22  % (3973364)ott+10_1_sil=32000:tgt=ground:random_seed=4028133062:i=5114:av=off_2952 on theBenchmark for (2952ds/5114Mi)
% 69.01/15.22  % (3973362)Instruction limit reached! 
% 69.01/15.22  % (3973362)------------------------------
% 69.01/15.22  % (3973362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973362)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973362)Termination reason: Instruction limit
% 69.01/15.22  % (3973362)Termination phase: Saturation
% 69.01/15.22  % (3973362)Time elapsed: 0.262 s
% 69.01/15.22  % (3973362)Peak memory usage: 18 MB
% 69.01/15.22  % (3973362)Instructions burned: 870 (million)
% 69.01/15.22  % (3973366)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1895427281:i=54282_2950 on theBenchmark for (2950ds/54282Mi)
% 69.01/15.22  % TRYING [8]
% 69.01/15.22  % TRYING [1]
% 69.01/15.22  % TRYING [2]
% 69.01/15.22  % TRYING [3]
% 69.01/15.22  % TRYING [4]
% 69.01/15.22  % TRYING [5]
% 69.01/15.22  % TRYING [6]
% 69.01/15.22  % TRYING [8]
% 69.01/15.22  % TRYING [7]
% 69.01/15.22  % (3973196)Instruction limit reached! 
% 69.01/15.22  % (3973196)------------------------------
% 69.01/15.22  % (3973196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973196)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973196)Termination reason: Instruction limit
% 69.01/15.22  % (3973196)Termination phase: Finite model building constraint generation
% 69.01/15.22  % (3973196)Time elapsed: 4.535 s
% 69.01/15.22  % (3973196)Peak memory usage: 670 MB
% 69.01/15.22  % (3973196)Instructions burned: 9515 (million)
% 69.01/15.22  % (3973368)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1170974682:i=3512:aac=none_2944 on theBenchmark for (2944ds/3512Mi)
% 69.01/15.22  % (3973368)Instruction limit reached! 
% 69.01/15.22  % (3973368)------------------------------
% 69.01/15.22  % (3973368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973368)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973368)Termination reason: Instruction limit
% 69.01/15.22  % (3973368)Termination phase: Saturation
% 69.01/15.22  % (3973368)Time elapsed: 1.873 s
% 69.01/15.22  % (3973368)Peak memory usage: 41 MB
% 69.01/15.22  % (3973368)Instructions burned: 3512 (million)
% 69.01/15.22  % (3973412)dis+21_1_sil=32000:sas=cadical:random_seed=2520390419:i=3773:amm=off_2925 on theBenchmark for (2925ds/3773Mi)
% 69.01/15.22  % TRYING [8]
% 69.01/15.22  % (3973364)Instruction limit reached! 
% 69.01/15.22  % (3973364)------------------------------
% 69.01/15.22  % (3973364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973364)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973364)Termination reason: Instruction limit
% 69.01/15.22  % (3973364)Termination phase: Saturation
% 69.01/15.22  % (3973364)Time elapsed: 2.886 s
% 69.01/15.22  % (3973364)Peak memory usage: 59 MB
% 69.01/15.22  % (3973364)Instructions burned: 5114 (million)
% 69.01/15.22  % (3973414)ott+11_1_sil=16000:gs=on:random_seed=1190511933:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2923 on theBenchmark for (2923ds/2251Mi)
% 69.01/15.22  % (3973414)Instruction limit reached! 
% 69.01/15.22  % (3973414)------------------------------
% 69.01/15.22  % (3973414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973414)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973414)Termination reason: Instruction limit
% 69.01/15.22  % (3973414)Termination phase: Saturation
% 69.01/15.22  % (3973414)Time elapsed: 1.267 s
% 69.01/15.22  % (3973414)Peak memory usage: 26 MB
% 69.01/15.22  % (3973414)Instructions burned: 2251 (million)
% 69.01/15.22  % (3973416)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2437242871:fmbsr=1.6:i=67534_2910 on theBenchmark for (2910ds/67534Mi)
% 69.01/15.22  % TRYING [7]
% 69.01/15.22  % (3973412)Instruction limit reached! 
% 69.01/15.22  % (3973412)------------------------------
% 69.01/15.22  % (3973412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973412)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973412)Termination reason: Instruction limit
% 69.01/15.22  % (3973412)Termination phase: Saturation
% 69.01/15.22  % (3973412)Time elapsed: 2.013 s
% 69.01/15.22  % (3973412)Peak memory usage: 43 MB
% 69.01/15.22  % (3973412)Instructions burned: 3773 (million)
% 69.01/15.22  % (3973418)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=886301235:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2905 on theBenchmark for (2905ds/4591Mi)
% 69.01/15.22  % TRYING [9]
% 69.01/15.22  % (3973418)Instruction limit reached! 
% 69.01/15.22  % (3973418)------------------------------
% 69.01/15.22  % (3973418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973418)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973418)Termination reason: Instruction limit
% 69.01/15.22  % (3973418)Termination phase: Saturation
% 69.01/15.22  % (3973418)Time elapsed: 2.043 s
% 69.01/15.22  % (3973418)Peak memory usage: 29 MB
% 69.01/15.22  % (3973418)Instructions burned: 4591 (million)
% 69.01/15.22  % (3973420)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2612784997:i=29340_2884 on theBenchmark for (2884ds/29340Mi)
% 69.01/15.22  % TRYING [8]
% 69.01/15.22  % (3973194)Instruction limit reached! 
% 69.01/15.22  % (3973194)------------------------------
% 69.01/15.22  % (3973194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973194)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973194)Termination reason: Instruction limit
% 69.01/15.22  % (3973194)Termination phase: Finite model building SAT solving
% 69.01/15.22  % (3973194)Time elapsed: 12.118 s
% 69.01/15.22  % (3973194)Peak memory usage: 108 MB
% 69.01/15.22  % (3973194)Instructions burned: 22061 (million)
% 69.01/15.22  % (3973422)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1840767546:i=5211_2869 on theBenchmark for (2869ds/5211Mi)
% 69.01/15.22  % TRYING [9]
% 69.01/15.22  % (3973420) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3973050-3973420"...
% 69.01/15.22  % (3973420)...printing done.
% 69.01/15.22  % (3973420)Refutation found. Thanks to Tanya!
% 69.01/15.22  % SZS status Unsatisfiable for theBenchmark
% 69.01/15.22  % SZS output start Proof for theBenchmark
% See solution above
% 69.01/15.22  % (3973420)------------------------------
% 69.01/15.22  % (3973420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 69.01/15.22  % (3973420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 69.01/15.22  % (3973420)CaDiCaL version: 2.1.3
% 69.01/15.22  % (3973420)Termination reason: Refutation
% 69.01/15.22  % (3973420)Time elapsed: 3.140 s
% 69.01/15.22  % (3973420)Peak memory usage: 50 MB
% 69.01/15.22  % (3973420)Instructions burned: 6089 (million)
% 69.01/15.22  % (3973050)Success in time 14.791 s
% 69.01/15.22  % Vampire exiting
%------------------------------------------------------------------------------