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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEV579+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n015.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 12:59:31 PM UTC 2026

% Result   : Theorem 2.29s 0.94s
% Output   : Refutation 2.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   52
% Syntax   : Number of formulae    :  271 ( 113 unt;  46 def)
%            Number of atoms       :  489 (  91 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  390 ( 172   ~; 184   |;  11   &)
%                                         (  22 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :   22 (  20 usr;  19 prp; 0-2 aty)
%            Number of functors    :   35 (  35 usr;  29 con; 0-2 aty)
%            Number of variables   :   85 (   0 sgn  83   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( subq(X0,X1)
    <=> ! [X2] :
          ( mem(X2,X0)
         => mem(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',subq_def) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( mem(X0,s(X1))
    <=> X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',s_ax) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( mem(X0,u(X1,X2))
    <=> ( mem(X0,X1)
        | mem(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',u_ax) ).

fof(f8,axiom,
    ! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',a_def) ).

fof(f9,axiom,
    ! [X0] : n(X0) = a(X0,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',n_def) ).

fof(f26,conjecture,
    subq(u(a(s(n(n(e))),p(s(n(e)))),a(n(n(s(n(e)))),n(n(n(e))))),u(u(a(s(s(n(n(e)))),n(n(n(e)))),n(a(s(s(n(e))),n(n(e))))),u(a(s(n(e)),p(s(n(e)))),a(s(n(s(n(e)))),p(n(n(e))))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subq_2158_39278) ).

fof(f27,negated_conjecture,
    ~ subq(u(a(s(n(n(e))),p(s(n(e)))),a(n(n(s(n(e)))),n(n(n(e))))),u(u(a(s(s(n(n(e)))),n(n(n(e)))),n(a(s(s(n(e))),n(n(e))))),u(a(s(n(e)),p(s(n(e)))),a(s(n(s(n(e)))),p(n(n(e))))))),
    inference(negated_conjecture,[status(cth)],[f26]) ).

fof(f28,plain,
    ~ subq(u(a(s(n(n(e))),p(s(n(e)))),a(n(n(s(n(e)))),n(n(n(e))))),u(u(a(s(s(n(n(e)))),n(n(n(e)))),n(a(s(s(n(e))),n(n(e))))),u(a(s(n(e)),p(s(n(e)))),a(s(n(s(n(e)))),p(n(n(e))))))),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0,X1] :
      ( subq(X0,X1)
    <=> ! [X2] :
          ( mem(X2,X1)
          | ~ mem(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( subq(X0,X1)
        | ? [X2] :
            ( ~ mem(X2,X1)
            & mem(X2,X0) ) )
      & ( ! [X2] :
            ( mem(X2,X1)
            | ~ mem(X2,X0) )
        | ~ subq(X0,X1) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ( subq(X0,X1)
        | ? [X2] :
            ( ~ mem(X2,X1)
            & mem(X2,X0) ) )
      & ( ! [X3] :
            ( mem(X3,X1)
            | ~ mem(X3,X0) )
        | ~ subq(X0,X1) ) ),
    inference(rectify,[],[f32]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( ( subq(X0,X1)
        | ( ~ mem(sK0(X0,X1),X1)
          & mem(sK0(X0,X1),X0) ) )
      & ( ! [X3] :
            ( mem(X3,X1)
            | ~ mem(X3,X0) )
        | ~ subq(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f33]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( mem(X0,s(X1))
        | X0 != X1 )
      & ( X0 = X1
        | ~ mem(X0,s(X1)) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X0,X1,X2] :
      ( ( mem(X0,u(X1,X2))
        | ( ~ mem(X0,X1)
          & ~ mem(X0,X2) ) )
      & ( mem(X0,X1)
        | mem(X0,X2)
        | ~ mem(X0,u(X1,X2)) ) ),
    inference(nnf_transformation,[],[f6]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ( mem(X0,u(X1,X2))
        | ( ~ mem(X0,X1)
          & ~ mem(X0,X2) ) )
      & ( mem(X0,X1)
        | mem(X0,X2)
        | ~ mem(X0,u(X1,X2)) ) ),
    inference(flattening,[],[f36]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( subq(X0,X1)
      | mem(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ~ mem(sK0(X0,X1),X1)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ mem(X0,s(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( mem(X0,s(X1))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,u(X1,X2))
      | mem(X0,X2)
      | mem(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( mem(X0,u(X1,X2))
      | ~ mem(X0,X2) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( mem(X0,u(X1,X2))
      | ~ mem(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f54,plain,
    ! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
    inference(cnf_transformation,[],[f8]) ).

fof(f55,plain,
    ! [X0] : n(X0) = a(X0,X0),
    inference(cnf_transformation,[],[f9]) ).

fof(f58,plain,
    ~ subq(u(a(s(n(n(e))),p(s(n(e)))),a(n(n(s(n(e)))),n(n(n(e))))),u(u(a(s(s(n(n(e)))),n(n(n(e)))),n(a(s(s(n(e))),n(n(e))))),u(a(s(n(e)),p(s(n(e)))),a(s(n(s(n(e)))),p(n(n(e))))))),
    inference(cnf_transformation,[],[f28]) ).

fof(f59,plain,
    ! [X0] : n(X0) = u(X0,s(X0)),
    inference(definition_unfolding,[],[f55,f54]) ).

fof(f60,plain,
    ~ subq(u(u(s(u(u(e,s(e)),s(u(e,s(e))))),s(p(s(u(e,s(e)))))),u(u(u(s(u(e,s(e))),s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(u(s(s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))),u(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(u(s(u(e,s(e))),s(p(s(u(e,s(e)))))),u(s(u(s(u(e,s(e))),s(s(u(e,s(e)))))),s(p(u(u(e,s(e)),s(u(e,s(e)))))))))),
    inference(definition_unfolding,[],[f58,f54,f59,f59,f59,f54,f59,f59,f59,f59,f59,f59,f54,f59,f59,f59,f59,f59,f59,f54,f59,f59,f59,f54,f59,f59,f54,f59,f59,f59,f59]) ).

fof(f61,plain,
    ! [X1] : mem(X1,s(X1)),
    inference(equality_resolution,[],[f47]) ).

fof(f62,definition,
    sF1 = s(e),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f63,plain,
    s(e) = sF1,
    inference(reorient_equations,[],[f62]) ).

fof(f64,definition,
    sF2 = u(e,sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f65,plain,
    u(e,sF1) = sF2,
    inference(reorient_equations,[],[f64]) ).

fof(f66,definition,
    sF3 = s(sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f67,plain,
    s(sF2) = sF3,
    inference(reorient_equations,[],[f66]) ).

fof(f68,definition,
    sF4 = u(sF2,sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f69,plain,
    u(sF2,sF3) = sF4,
    inference(reorient_equations,[],[f68]) ).

fof(f70,definition,
    sF5 = s(sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f71,plain,
    s(sF4) = sF5,
    inference(reorient_equations,[],[f70]) ).

fof(f72,definition,
    sF6 = p(sF3),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f73,plain,
    p(sF3) = sF6,
    inference(reorient_equations,[],[f72]) ).

fof(f74,definition,
    sF7 = s(sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f75,plain,
    s(sF6) = sF7,
    inference(reorient_equations,[],[f74]) ).

fof(f76,definition,
    sF8 = u(sF5,sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f77,plain,
    u(sF5,sF7) = sF8,
    inference(reorient_equations,[],[f76]) ).

fof(f78,definition,
    sF9 = s(sF3),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f79,plain,
    s(sF3) = sF9,
    inference(reorient_equations,[],[f78]) ).

fof(f80,definition,
    sF10 = u(sF3,sF9),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f81,plain,
    u(sF3,sF9) = sF10,
    inference(reorient_equations,[],[f80]) ).

fof(f82,definition,
    sF11 = s(sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f83,plain,
    s(sF10) = sF11,
    inference(reorient_equations,[],[f82]) ).

fof(f84,definition,
    sF12 = u(sF10,sF11),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f85,plain,
    u(sF10,sF11) = sF12,
    inference(reorient_equations,[],[f84]) ).

fof(f86,definition,
    sF13 = u(sF4,sF5),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f87,plain,
    u(sF4,sF5) = sF13,
    inference(reorient_equations,[],[f86]) ).

fof(f88,definition,
    sF14 = s(sF13),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f89,plain,
    s(sF13) = sF14,
    inference(reorient_equations,[],[f88]) ).

fof(f90,definition,
    sF15 = u(sF12,sF14),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f91,plain,
    u(sF12,sF14) = sF15,
    inference(reorient_equations,[],[f90]) ).

fof(f92,definition,
    sF16 = u(sF8,sF15),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f93,plain,
    u(sF8,sF15) = sF16,
    inference(reorient_equations,[],[f92]) ).

fof(f94,definition,
    sF17 = s(sF5),
    introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).

fof(f95,plain,
    s(sF5) = sF17,
    inference(reorient_equations,[],[f94]) ).

fof(f96,definition,
    sF18 = u(sF17,sF14),
    introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).

fof(f97,plain,
    u(sF17,sF14) = sF18,
    inference(reorient_equations,[],[f96]) ).

fof(f98,definition,
    sF19 = u(sF9,sF5),
    introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).

fof(f99,plain,
    u(sF9,sF5) = sF19,
    inference(reorient_equations,[],[f98]) ).

fof(f100,definition,
    sF20 = s(sF19),
    introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).

fof(f101,plain,
    s(sF19) = sF20,
    inference(reorient_equations,[],[f100]) ).

fof(f102,definition,
    sF21 = u(sF19,sF20),
    introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).

fof(f103,plain,
    u(sF19,sF20) = sF21,
    inference(reorient_equations,[],[f102]) ).

fof(f104,definition,
    sF22 = u(sF18,sF21),
    introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).

fof(f105,plain,
    u(sF18,sF21) = sF22,
    inference(reorient_equations,[],[f104]) ).

fof(f106,definition,
    sF23 = u(sF3,sF7),
    introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).

fof(f107,plain,
    u(sF3,sF7) = sF23,
    inference(reorient_equations,[],[f106]) ).

fof(f108,definition,
    sF24 = p(sF4),
    introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).

fof(f109,plain,
    p(sF4) = sF24,
    inference(reorient_equations,[],[f108]) ).

fof(f110,definition,
    sF25 = s(sF24),
    introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).

fof(f111,plain,
    s(sF24) = sF25,
    inference(reorient_equations,[],[f110]) ).

fof(f112,definition,
    sF26 = u(sF11,sF25),
    introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).

fof(f113,plain,
    u(sF11,sF25) = sF26,
    inference(reorient_equations,[],[f112]) ).

fof(f114,definition,
    sF27 = u(sF23,sF26),
    introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).

fof(f115,plain,
    u(sF23,sF26) = sF27,
    inference(reorient_equations,[],[f114]) ).

fof(f116,definition,
    sF28 = u(sF22,sF27),
    introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).

fof(f117,plain,
    u(sF22,sF27) = sF28,
    inference(reorient_equations,[],[f116]) ).

fof(f118,plain,
    ~ subq(sF16,sF28),
    inference(definition_folding,[],[f60,f117,f115,f113,f111,f109,f69,f67,f65,f63,f65,f63,f83,f81,f79,f67,f65,f63,f67,f65,f63,f107,f75,f73,f67,f65,f63,f67,f65,f63,f105,f103,f101,f99,f71,f69,f67,f65,f63,f65,f63,f79,f67,f65,f63,f99,f71,f69,f67,f65,f63,f65,f63,f79,f67,f65,f63,f97,f89,f87,f71,f69,f67,f65,f63,f65,f63,f69,f67,f65,f63,f65,f63,f95,f71,f69,f67,f65,f63,f65,f63,f93,f91,f89,f87,f71,f69,f67,f65,f63,f65,f63,f69,f67,f65,f63,f65,f63,f85,f83,f81,f79,f67,f65,f63,f67,f65,f63,f81,f79,f67,f65,f63,f67,f65,f63,f77,f75,f73,f67,f65,f63,f71,f69,f67,f65,f63,f65,f63]) ).

fof(f121,plain,
    mem(sF4,sF5),
    inference(superposition,[],[f61,f71]) ).

fof(f122,plain,
    mem(sF6,sF7),
    inference(superposition,[],[f61,f75]) ).

fof(f123,plain,
    mem(sF3,sF9),
    inference(superposition,[],[f61,f79]) ).

fof(f124,plain,
    mem(sF10,sF11),
    inference(superposition,[],[f61,f83]) ).

fof(f125,plain,
    mem(sF13,sF14),
    inference(superposition,[],[f61,f89]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ mem(X0,sF9)
      | sF3 = X0 ),
    inference(superposition,[],[f46,f79]) ).

fof(f133,plain,
    ! [X0] :
      ( ~ mem(X0,sF5)
      | sF4 = X0 ),
    inference(superposition,[],[f46,f71]) ).

fof(f135,plain,
    ! [X0] :
      ( ~ mem(X0,sF7)
      | sF6 = X0 ),
    inference(superposition,[],[f46,f75]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ mem(X0,sF11)
      | sF10 = X0 ),
    inference(superposition,[],[f46,f83]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ mem(X0,sF14)
      | sF13 = X0 ),
    inference(superposition,[],[f46,f89]) ).

fof(f145,plain,
    mem(sK0(sF16,sF28),sF16),
    inference(resolution,[],[f42,f118]) ).

fof(f148,plain,
    ! [X2,X0,X1] :
      ( ~ mem(sK0(X0,u(X1,X2)),X2)
      | subq(X0,u(X1,X2)) ),
    inference(resolution,[],[f49,f43]) ).

fof(f152,plain,
    ! [X0] :
      ( ~ mem(X0,sF7)
      | mem(X0,sF23) ),
    inference(superposition,[],[f49,f107]) ).

fof(f156,plain,
    ! [X0] :
      ( ~ mem(X0,sF5)
      | mem(X0,sF19) ),
    inference(superposition,[],[f49,f99]) ).

fof(f160,plain,
    ! [X0] :
      ( ~ mem(X0,sF14)
      | mem(X0,sF18) ),
    inference(superposition,[],[f49,f97]) ).

fof(f161,plain,
    ! [X0] :
      ( ~ mem(X0,sF21)
      | mem(X0,sF22) ),
    inference(superposition,[],[f49,f105]) ).

fof(f163,plain,
    ! [X0] :
      ( ~ mem(X0,sF27)
      | mem(X0,sF28) ),
    inference(superposition,[],[f49,f117]) ).

fof(f164,plain,
    ! [X0] :
      ( ~ mem(X0,sF26)
      | mem(X0,sF27) ),
    inference(superposition,[],[f49,f115]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( ~ mem(sK0(X0,u(X1,X2)),X1)
      | subq(X0,u(X1,X2)) ),
    inference(resolution,[],[f50,f43]) ).

fof(f170,plain,
    ! [X0] :
      ( ~ mem(X0,sF3)
      | mem(X0,sF23) ),
    inference(superposition,[],[f50,f107]) ).

fof(f174,plain,
    ! [X0] :
      ( ~ mem(X0,sF9)
      | mem(X0,sF19) ),
    inference(superposition,[],[f50,f99]) ).

fof(f176,plain,
    ! [X0] :
      ( ~ mem(X0,sF11)
      | mem(X0,sF26) ),
    inference(superposition,[],[f50,f113]) ).

fof(f179,plain,
    ! [X0] :
      ( ~ mem(X0,sF18)
      | mem(X0,sF22) ),
    inference(superposition,[],[f50,f105]) ).

fof(f180,plain,
    ! [X0] :
      ( ~ mem(X0,sF19)
      | mem(X0,sF21) ),
    inference(superposition,[],[f50,f103]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ mem(X0,sF23)
      | mem(X0,sF27) ),
    inference(superposition,[],[f50,f115]) ).

fof(f226,definition,
    ( spl29_3
  <=> sF13 = sK0(sF16,sF28) ),
    introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).

fof(f227,plain,
    ( sF13 != sK0(sF16,sF28)
    | spl29_3 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f228,plain,
    ( sF13 = sK0(sF16,sF28)
    | ~ spl29_3 ),
    inference(avatar_component_clause,[],[f226]) ).

fof(f235,definition,
    ( spl29_5
  <=> sF10 = sK0(sF16,sF28) ),
    introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition]) ).

fof(f236,plain,
    ( sF10 != sK0(sF16,sF28)
    | spl29_5 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f237,plain,
    ( sF10 = sK0(sF16,sF28)
    | ~ spl29_5 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f244,definition,
    ( spl29_7
  <=> sF3 = sK0(sF16,sF28) ),
    introduced(definition,[new_symbols(definition,[spl29_7])],[avatar_definition]) ).

fof(f245,plain,
    ( sF3 != sK0(sF16,sF28)
    | spl29_7 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f246,plain,
    ( sF3 = sK0(sF16,sF28)
    | ~ spl29_7 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f253,definition,
    ( spl29_9
  <=> sF6 = sK0(sF16,sF28) ),
    introduced(definition,[new_symbols(definition,[spl29_9])],[avatar_definition]) ).

fof(f254,plain,
    ( sF6 != sK0(sF16,sF28)
    | spl29_9 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f255,plain,
    ( sF6 = sK0(sF16,sF28)
    | ~ spl29_9 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f262,definition,
    ( spl29_11
  <=> sF4 = sK0(sF16,sF28) ),
    introduced(definition,[new_symbols(definition,[spl29_11])],[avatar_definition]) ).

fof(f263,plain,
    ( sF4 != sK0(sF16,sF28)
    | spl29_11 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f264,plain,
    ( sF4 = sK0(sF16,sF28)
    | ~ spl29_11 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f295,plain,
    ! [X0] :
      ( ~ mem(X0,sF10)
      | mem(X0,sF9)
      | mem(X0,sF3) ),
    inference(superposition,[],[f48,f81]) ).

fof(f298,plain,
    ! [X0] :
      ( ~ mem(X0,sF8)
      | mem(X0,sF7)
      | mem(X0,sF5) ),
    inference(superposition,[],[f48,f77]) ).

fof(f299,plain,
    ! [X0] :
      ( ~ mem(X0,sF16)
      | mem(X0,sF15)
      | mem(X0,sF8) ),
    inference(superposition,[],[f48,f93]) ).

fof(f301,plain,
    ! [X0] :
      ( ~ mem(X0,sF12)
      | mem(X0,sF11)
      | mem(X0,sF10) ),
    inference(superposition,[],[f48,f85]) ).

fof(f303,plain,
    ! [X0] :
      ( ~ mem(X0,sF15)
      | mem(X0,sF14)
      | mem(X0,sF12) ),
    inference(superposition,[],[f48,f91]) ).

fof(f452,plain,
    mem(sF6,sF23),
    inference(resolution,[],[f152,f122]) ).

fof(f462,plain,
    mem(sF4,sF19),
    inference(resolution,[],[f156,f121]) ).

fof(f475,plain,
    mem(sF13,sF18),
    inference(resolution,[],[f160,f125]) ).

fof(f510,definition,
    ( spl29_38
  <=> mem(sK0(sF16,sF28),sF28) ),
    introduced(definition,[new_symbols(definition,[spl29_38])],[avatar_definition]) ).

fof(f511,plain,
    ( ~ mem(sK0(sF16,sF28),sF28)
    | spl29_38 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f512,plain,
    ( mem(sK0(sF16,sF28),sF28)
    | ~ spl29_38 ),
    inference(avatar_component_clause,[],[f510]) ).

fof(f520,definition,
    ( spl29_40
  <=> mem(sK0(sF16,sF28),sF27) ),
    introduced(definition,[new_symbols(definition,[spl29_40])],[avatar_definition]) ).

fof(f521,plain,
    ( ~ mem(sK0(sF16,sF28),sF27)
    | spl29_40 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f522,plain,
    ( mem(sK0(sF16,sF28),sF27)
    | ~ spl29_40 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f551,plain,
    mem(sF3,sF19),
    inference(resolution,[],[f174,f123]) ).

fof(f559,definition,
    ( spl29_45
  <=> mem(sK0(sF16,sF28),sF12) ),
    introduced(definition,[new_symbols(definition,[spl29_45])],[avatar_definition]) ).

fof(f560,plain,
    ( ~ mem(sK0(sF16,sF28),sF12)
    | spl29_45 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f561,plain,
    ( mem(sK0(sF16,sF28),sF12)
    | ~ spl29_45 ),
    inference(avatar_component_clause,[],[f559]) ).

fof(f565,plain,
    mem(sF10,sF26),
    inference(resolution,[],[f176,f124]) ).

fof(f573,definition,
    ( spl29_47
  <=> mem(sK0(sF16,sF28),sF15) ),
    introduced(definition,[new_symbols(definition,[spl29_47])],[avatar_definition]) ).

fof(f575,plain,
    ( mem(sK0(sF16,sF28),sF15)
    | ~ spl29_47 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f614,plain,
    ( subq(sF16,sF28)
    | ~ spl29_38 ),
    inference(resolution,[],[f512,f43]) ).

fof(f616,plain,
    ( $false
    | ~ spl29_38 ),
    inference(forward_subsumption_resolution,[],[f614,f118]) ).

fof(f617,plain,
    ~ spl29_38,
    inference(avatar_contradiction_clause,[],[f616]) ).

fof(f688,plain,
    ( mem(sK0(sF16,sF28),sF28)
    | ~ spl29_40 ),
    inference(resolution,[],[f522,f163]) ).

fof(f690,plain,
    ( $false
    | spl29_38
    | ~ spl29_40 ),
    inference(forward_subsumption_resolution,[],[f688,f511]) ).

fof(f691,plain,
    ( spl29_38
    | ~ spl29_40 ),
    inference(avatar_contradiction_clause,[],[f690]) ).

fof(f701,definition,
    ( spl29_53
  <=> mem(sK0(sF16,sF28),sF5) ),
    introduced(definition,[new_symbols(definition,[spl29_53])],[avatar_definition]) ).

fof(f702,plain,
    ( ~ mem(sK0(sF16,sF28),sF5)
    | spl29_53 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f703,plain,
    ( mem(sK0(sF16,sF28),sF5)
    | ~ spl29_53 ),
    inference(avatar_component_clause,[],[f701]) ).

fof(f713,definition,
    ( spl29_55
  <=> mem(sK0(sF16,sF28),sF7) ),
    introduced(definition,[new_symbols(definition,[spl29_55])],[avatar_definition]) ).

fof(f714,plain,
    ( ~ mem(sK0(sF16,sF28),sF7)
    | spl29_55 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f715,plain,
    ( mem(sK0(sF16,sF28),sF7)
    | ~ spl29_55 ),
    inference(avatar_component_clause,[],[f713]) ).

fof(f739,plain,
    ( mem(sK0(sF16,sF28),sF15)
    | mem(sK0(sF16,sF28),sF8) ),
    inference(resolution,[],[f299,f145]) ).

fof(f747,definition,
    ( spl29_57
  <=> mem(sK0(sF16,sF28),sF8) ),
    introduced(definition,[new_symbols(definition,[spl29_57])],[avatar_definition]) ).

fof(f749,plain,
    ( mem(sK0(sF16,sF28),sF8)
    | ~ spl29_57 ),
    inference(avatar_component_clause,[],[f747]) ).

fof(f751,plain,
    ( spl29_57
    | spl29_47 ),
    inference(avatar_split_clause,[],[f739,f573,f747]) ).

fof(f1319,definition,
    ( spl29_111
  <=> mem(sK0(sF16,sF28),sF14) ),
    introduced(definition,[new_symbols(definition,[spl29_111])],[avatar_definition]) ).

fof(f1321,plain,
    ( mem(sK0(sF16,sF28),sF14)
    | ~ spl29_111 ),
    inference(avatar_component_clause,[],[f1319]) ).

fof(f1419,plain,
    ! [X0] :
      ( ~ mem(sK0(X0,sF28),sF27)
      | subq(X0,sF28) ),
    inference(superposition,[],[f148,f117]) ).

fof(f1445,plain,
    ! [X0] :
      ( ~ mem(sK0(X0,sF28),sF22)
      | subq(X0,sF28) ),
    inference(superposition,[],[f166,f117]) ).

fof(f1518,plain,
    mem(sF6,sF27),
    inference(resolution,[],[f452,f182]) ).

fof(f1547,plain,
    mem(sF4,sF21),
    inference(resolution,[],[f462,f180]) ).

fof(f1573,plain,
    mem(sF13,sF22),
    inference(resolution,[],[f475,f179]) ).

fof(f1603,plain,
    mem(sF3,sF21),
    inference(resolution,[],[f551,f180]) ).

fof(f1608,plain,
    mem(sF10,sF27),
    inference(resolution,[],[f565,f164]) ).

fof(f1851,definition,
    ( spl29_130
  <=> mem(sK0(sF16,sF28),sF3) ),
    introduced(definition,[new_symbols(definition,[spl29_130])],[avatar_definition]) ).

fof(f1852,plain,
    ( ~ mem(sK0(sF16,sF28),sF3)
    | spl29_130 ),
    inference(avatar_component_clause,[],[f1851]) ).

fof(f1853,plain,
    ( mem(sK0(sF16,sF28),sF3)
    | ~ spl29_130 ),
    inference(avatar_component_clause,[],[f1851]) ).

fof(f1867,plain,
    ( mem(sK0(sF16,sF28),sF11)
    | mem(sK0(sF16,sF28),sF10)
    | ~ spl29_45 ),
    inference(resolution,[],[f561,f301]) ).

fof(f1871,definition,
    ( spl29_131
  <=> mem(sK0(sF16,sF28),sF10) ),
    introduced(definition,[new_symbols(definition,[spl29_131])],[avatar_definition]) ).

fof(f1873,plain,
    ( mem(sK0(sF16,sF28),sF10)
    | ~ spl29_131 ),
    inference(avatar_component_clause,[],[f1871]) ).

fof(f1875,definition,
    ( spl29_132
  <=> mem(sK0(sF16,sF28),sF11) ),
    introduced(definition,[new_symbols(definition,[spl29_132])],[avatar_definition]) ).

fof(f1877,plain,
    ( mem(sK0(sF16,sF28),sF11)
    | ~ spl29_132 ),
    inference(avatar_component_clause,[],[f1875]) ).

fof(f1878,plain,
    ( spl29_131
    | spl29_132
    | ~ spl29_45 ),
    inference(avatar_split_clause,[],[f1867,f559,f1875,f1871]) ).

fof(f2193,plain,
    ( sF4 = sK0(sF16,sF28)
    | ~ spl29_53 ),
    inference(resolution,[],[f703,f133]) ).

fof(f2195,plain,
    ( $false
    | spl29_11
    | ~ spl29_53 ),
    inference(forward_subsumption_resolution,[],[f2193,f263]) ).

fof(f2196,plain,
    ( spl29_11
    | ~ spl29_53 ),
    inference(avatar_contradiction_clause,[],[f2195]) ).

fof(f2354,plain,
    ( sF6 = sK0(sF16,sF28)
    | ~ spl29_55 ),
    inference(resolution,[],[f715,f135]) ).

fof(f2356,plain,
    ( $false
    | spl29_9
    | ~ spl29_55 ),
    inference(forward_subsumption_resolution,[],[f2354,f254]) ).

fof(f2357,plain,
    ( spl29_9
    | ~ spl29_55 ),
    inference(avatar_contradiction_clause,[],[f2356]) ).

fof(f2507,plain,
    ( ~ mem(sF6,sF27)
    | subq(sF16,sF28)
    | ~ spl29_9 ),
    inference(superposition,[],[f1419,f255]) ).

fof(f2511,plain,
    ( subq(sF16,sF28)
    | ~ spl29_9 ),
    inference(forward_subsumption_resolution,[],[f2507,f1518]) ).

fof(f2517,plain,
    ( $false
    | ~ spl29_9 ),
    inference(forward_subsumption_resolution,[],[f2511,f118]) ).

fof(f2518,plain,
    ~ spl29_9,
    inference(avatar_contradiction_clause,[],[f2517]) ).

fof(f2566,plain,
    ( mem(sK0(sF16,sF28),sF7)
    | mem(sK0(sF16,sF28),sF5)
    | ~ spl29_57 ),
    inference(resolution,[],[f749,f298]) ).

fof(f2569,plain,
    ( mem(sK0(sF16,sF28),sF5)
    | spl29_55
    | ~ spl29_57 ),
    inference(forward_subsumption_resolution,[],[f2566,f714]) ).

fof(f2570,plain,
    ( $false
    | spl29_53
    | spl29_55
    | ~ spl29_57 ),
    inference(forward_subsumption_resolution,[],[f2569,f702]) ).

fof(f2571,plain,
    ( spl29_53
    | spl29_55
    | ~ spl29_57 ),
    inference(avatar_contradiction_clause,[],[f2570]) ).

fof(f4452,plain,
    ( ~ mem(sF13,sF22)
    | subq(sF16,sF28)
    | ~ spl29_3 ),
    inference(superposition,[],[f1445,f228]) ).

fof(f4458,plain,
    ( subq(sF16,sF28)
    | ~ spl29_3 ),
    inference(forward_subsumption_resolution,[],[f4452,f1573]) ).

fof(f4474,plain,
    ( $false
    | ~ spl29_3 ),
    inference(forward_subsumption_resolution,[],[f4458,f118]) ).

fof(f4475,plain,
    ~ spl29_3,
    inference(avatar_contradiction_clause,[],[f4474]) ).

fof(f6554,plain,
    mem(sF4,sF22),
    inference(resolution,[],[f1547,f161]) ).

fof(f6641,plain,
    mem(sF3,sF22),
    inference(resolution,[],[f1603,f161]) ).

fof(f8471,plain,
    ( ~ mem(sF3,sF22)
    | subq(sF16,sF28)
    | ~ spl29_7 ),
    inference(superposition,[],[f1445,f246]) ).

fof(f8478,plain,
    ( subq(sF16,sF28)
    | ~ spl29_7 ),
    inference(forward_subsumption_resolution,[],[f8471,f6641]) ).

fof(f8494,plain,
    ( $false
    | ~ spl29_7 ),
    inference(forward_subsumption_resolution,[],[f8478,f118]) ).

fof(f8495,plain,
    ~ spl29_7,
    inference(avatar_contradiction_clause,[],[f8494]) ).

fof(f14560,definition,
    ( spl29_503
  <=> mem(sK0(sF16,sF28),sF23) ),
    introduced(definition,[new_symbols(definition,[spl29_503])],[avatar_definition]) ).

fof(f14562,plain,
    ( mem(sK0(sF16,sF28),sF23)
    | ~ spl29_503 ),
    inference(avatar_component_clause,[],[f14560]) ).

fof(f14916,definition,
    ( spl29_524
  <=> mem(sK0(sF16,sF28),sF9) ),
    introduced(definition,[new_symbols(definition,[spl29_524])],[avatar_definition]) ).

fof(f14918,plain,
    ( mem(sK0(sF16,sF28),sF9)
    | ~ spl29_524 ),
    inference(avatar_component_clause,[],[f14916]) ).

fof(f15786,plain,
    ( mem(sK0(sF16,sF28),sF14)
    | mem(sK0(sF16,sF28),sF12)
    | ~ spl29_47 ),
    inference(resolution,[],[f575,f303]) ).

fof(f15792,plain,
    ( mem(sK0(sF16,sF28),sF14)
    | spl29_45
    | ~ spl29_47 ),
    inference(forward_subsumption_resolution,[],[f15786,f560]) ).

fof(f16056,plain,
    ( mem(sK0(sF16,sF28),sF9)
    | mem(sK0(sF16,sF28),sF3)
    | ~ spl29_131 ),
    inference(resolution,[],[f1873,f295]) ).

fof(f16065,plain,
    ( mem(sK0(sF16,sF28),sF9)
    | spl29_130
    | ~ spl29_131 ),
    inference(forward_subsumption_resolution,[],[f16056,f1852]) ).

fof(f16067,plain,
    ( spl29_524
    | spl29_130
    | ~ spl29_131 ),
    inference(avatar_split_clause,[],[f16065,f1871,f1851,f14916]) ).

fof(f16124,plain,
    ( sF3 = sK0(sF16,sF28)
    | ~ spl29_524 ),
    inference(resolution,[],[f14918,f132]) ).

fof(f16129,plain,
    ( $false
    | spl29_7
    | ~ spl29_524 ),
    inference(forward_subsumption_resolution,[],[f16124,f245]) ).

fof(f16130,plain,
    ( spl29_7
    | ~ spl29_524 ),
    inference(avatar_contradiction_clause,[],[f16129]) ).

fof(f16171,plain,
    ( mem(sK0(sF16,sF28),sF23)
    | ~ spl29_130 ),
    inference(resolution,[],[f1853,f170]) ).

fof(f16181,plain,
    ( spl29_503
    | ~ spl29_130 ),
    inference(avatar_split_clause,[],[f16171,f1851,f14560]) ).

fof(f16231,plain,
    ( sF10 = sK0(sF16,sF28)
    | ~ spl29_132 ),
    inference(resolution,[],[f1877,f136]) ).

fof(f16236,plain,
    ( $false
    | spl29_5
    | ~ spl29_132 ),
    inference(forward_subsumption_resolution,[],[f16231,f236]) ).

fof(f16237,plain,
    ( spl29_5
    | ~ spl29_132 ),
    inference(avatar_contradiction_clause,[],[f16236]) ).

fof(f16280,plain,
    ( ~ mem(sF10,sF27)
    | subq(sF16,sF28)
    | ~ spl29_5 ),
    inference(superposition,[],[f1419,f237]) ).

fof(f16284,plain,
    ( subq(sF16,sF28)
    | ~ spl29_5 ),
    inference(forward_subsumption_resolution,[],[f16280,f1608]) ).

fof(f16297,plain,
    ( $false
    | ~ spl29_5 ),
    inference(forward_subsumption_resolution,[],[f16284,f118]) ).

fof(f16298,plain,
    ~ spl29_5,
    inference(avatar_contradiction_clause,[],[f16297]) ).

fof(f16820,plain,
    ( spl29_111
    | spl29_45
    | ~ spl29_47 ),
    inference(avatar_split_clause,[],[f15792,f573,f559,f1319]) ).

fof(f16898,plain,
    ( sF13 = sK0(sF16,sF28)
    | ~ spl29_111 ),
    inference(resolution,[],[f1321,f137]) ).

fof(f16903,plain,
    ( $false
    | spl29_3
    | ~ spl29_111 ),
    inference(forward_subsumption_resolution,[],[f16898,f227]) ).

fof(f16904,plain,
    ( spl29_3
    | ~ spl29_111 ),
    inference(avatar_contradiction_clause,[],[f16903]) ).

fof(f17710,plain,
    ( ~ mem(sF4,sF22)
    | subq(sF16,sF28)
    | ~ spl29_11 ),
    inference(superposition,[],[f1445,f264]) ).

fof(f17715,plain,
    ( subq(sF16,sF28)
    | ~ spl29_11 ),
    inference(forward_subsumption_resolution,[],[f17710,f6554]) ).

fof(f17724,plain,
    ( $false
    | ~ spl29_11 ),
    inference(forward_subsumption_resolution,[],[f17715,f118]) ).

fof(f17725,plain,
    ~ spl29_11,
    inference(avatar_contradiction_clause,[],[f17724]) ).

fof(f18530,plain,
    ( mem(sK0(sF16,sF28),sF27)
    | ~ spl29_503 ),
    inference(resolution,[],[f14562,f182]) ).

fof(f18538,plain,
    ( $false
    | spl29_40
    | ~ spl29_503 ),
    inference(forward_subsumption_resolution,[],[f18530,f521]) ).

fof(f18539,plain,
    ( spl29_40
    | ~ spl29_503 ),
    inference(avatar_contradiction_clause,[],[f18538]) ).

cnf(s35,plain,
    ~ spl29_38,
    inference(sat_conversion,[],[f617]) ).

cnf(s36,plain,
    ( spl29_38
    | ~ spl29_40 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s40,plain,
    ( spl29_47
    | spl29_57 ),
    inference(sat_conversion,[],[f751]) ).

cnf(s108,plain,
    ( ~ spl29_45
    | spl29_131
    | spl29_132 ),
    inference(sat_conversion,[],[f1878]) ).

cnf(s127,plain,
    ( spl29_11
    | ~ spl29_53 ),
    inference(sat_conversion,[],[f2196]) ).

cnf(s139,plain,
    ( spl29_9
    | ~ spl29_55 ),
    inference(sat_conversion,[],[f2357]) ).

cnf(s150,plain,
    ~ spl29_9,
    inference(sat_conversion,[],[f2518]) ).

cnf(s153,plain,
    ( spl29_53
    | spl29_55
    | ~ spl29_57 ),
    inference(sat_conversion,[],[f2571]) ).

cnf(s208,plain,
    ~ spl29_3,
    inference(sat_conversion,[],[f4475]) ).

cnf(s327,plain,
    ~ spl29_7,
    inference(sat_conversion,[],[f8495]) ).

cnf(s743,plain,
    ( spl29_130
    | ~ spl29_131
    | spl29_524 ),
    inference(sat_conversion,[],[f16067]) ).

cnf(s744,plain,
    ( spl29_7
    | ~ spl29_524 ),
    inference(sat_conversion,[],[f16130]) ).

cnf(s746,plain,
    ( ~ spl29_130
    | spl29_503 ),
    inference(sat_conversion,[],[f16181]) ).

cnf(s750,plain,
    ( spl29_5
    | ~ spl29_132 ),
    inference(sat_conversion,[],[f16237]) ).

cnf(s755,plain,
    ~ spl29_5,
    inference(sat_conversion,[],[f16298]) ).

cnf(s794,plain,
    ( spl29_45
    | ~ spl29_47
    | spl29_111 ),
    inference(sat_conversion,[],[f16820]) ).

cnf(s803,plain,
    ( spl29_3
    | ~ spl29_111 ),
    inference(sat_conversion,[],[f16904]) ).

cnf(s879,plain,
    ~ spl29_11,
    inference(sat_conversion,[],[f17725]) ).

cnf(s925,plain,
    ( spl29_40
    | ~ spl29_503 ),
    inference(sat_conversion,[],[f18539]) ).

cnf(s926,plain,
    ~ spl29_132,
    inference(rat,[],[s750,s755]) ).

cnf(s936,plain,
    ~ spl29_524,
    inference(rat,[],[s744,s327]) ).

cnf(s945,plain,
    ~ spl29_111,
    inference(rat,[],[s803,s208]) ).

cnf(s949,plain,
    ~ spl29_55,
    inference(rat,[],[s139,s150]) ).

cnf(s951,plain,
    ~ spl29_53,
    inference(rat,[],[s127,s879]) ).

cnf(s952,plain,
    ~ spl29_57,
    inference(rat,[],[s153,s949,s951]) ).

cnf(s956,plain,
    ( ~ spl29_45
    | spl29_131 ),
    inference(rat,[],[s108,s926]) ).

cnf(s962,plain,
    spl29_47,
    inference(rat,[],[s40,s952]) ).

cnf(s963,plain,
    spl29_45,
    inference(rat,[],[s794,s945,s962]) ).

cnf(s965,plain,
    spl29_131,
    inference(rat,[],[s956,s963]) ).

cnf(s966,plain,
    spl29_130,
    inference(rat,[],[s743,s936,s965]) ).

cnf(s971,plain,
    spl29_503,
    inference(rat,[],[s746,s966]) ).

cnf(s974,plain,
    spl29_40,
    inference(rat,[],[s925,s971]) ).

cnf(s978,plain,
    spl29_38,
    inference(rat,[],[s36,s974]) ).

cnf(s979,plain,
    $false,
    inference(rat,[],[s35,s978]) ).

fof(f18542,plain,
    $false,
    inference(avatar_sat_refutation,[],[s979]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV579+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38  % Computer : n015.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 : Mon Sep 28 06:42:31 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41  Running first-order model finding
% 0.11/0.41  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.29/0.94  % (2429054)Will run a generic schedule for satisfiability detection.
% 2.29/0.94  % (2429063)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=490628679:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.29/0.94  % (2429060)% WARNING: option uhcvi not known.
% 2.29/0.94  % (2429062)dis+10_1_sil=32000:sp=arity:random_seed=2897406779:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.29/0.94  % (2429059)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1371546139_2999 on theBenchmark for (2999ds/0Mi)
% 2.29/0.94  % (2429060)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3157220309:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.29/0.94  % (2429061)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=879913352:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.29/0.94  % (2429064)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1008905900:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.29/0.94  % (2429065)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1289406186:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.29/0.94  % TRYING [1]
% 2.29/0.94  % TRYING [2]
% 2.29/0.94  % TRYING [3]
% 2.29/0.94  % TRYING [4]
% 2.29/0.94  % TRYING [5]
% 2.29/0.94  % TRYING [6]
% 2.29/0.94  % (2429063)Instruction limit reached! 
% 2.29/0.94  % (2429063)------------------------------
% 2.29/0.94  % (2429063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.94  % (2429063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.94  % (2429063)CaDiCaL version: 2.1.3
% 2.29/0.94  % (2429063)Termination reason: Instruction limit
% 2.29/0.94  % (2429063)Termination phase: Saturation
% 2.29/0.94  % (2429063)Time elapsed: 0.038 s
% 2.29/0.94  % (2429063)Peak memory usage: 12 MB
% 2.29/0.94  % (2429063)Instructions burned: 118 (million)
% 2.29/0.94  % TRYING [7]
% 2.29/0.94  % (2429073)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2667275470:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.29/0.94  % TRYING [1]
% 2.29/0.94  % TRYING [2]
% 2.29/0.94  % TRYING [3]
% 2.29/0.94  % TRYING [4]
% 2.29/0.94  % TRYING [5]
% 2.29/0.94  % TRYING [6]
% 2.29/0.94  % TRYING [8]
% 2.29/0.94  % (2429062)Instruction limit reached! 
% 2.29/0.94  % (2429062)------------------------------
% 2.29/0.94  % (2429062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.94  % (2429062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.94  % (2429062)CaDiCaL version: 2.1.3
% 2.29/0.94  % (2429062)Termination reason: Instruction limit
% 2.29/0.94  % (2429062)Termination phase: Saturation
% 2.29/0.94  % (2429062)Time elapsed: 0.064 s
% 2.29/0.94  % (2429062)Peak memory usage: 12 MB
% 2.29/0.94  % (2429062)Instructions burned: 104 (million)
% 2.29/0.94  % TRYING [7]
% 2.29/0.94  % (2429064)Instruction limit reached! 
% 2.29/0.94  % (2429064)------------------------------
% 2.29/0.94  % (2429064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.94  % (2429064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.94  % (2429064)CaDiCaL version: 2.1.3
% 2.29/0.94  % (2429064)Termination reason: Instruction limit
% 2.29/0.94  % (2429064)Termination phase: Saturation
% 2.29/0.94  % (2429064)Time elapsed: 0.079 s
% 2.29/0.94  % (2429064)Peak memory usage: 13 MB
% 2.29/0.94  % (2429064)Instructions burned: 131 (million)
% 2.29/0.94  % (2429075)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3731308944:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.29/0.94  % (2429065)Instruction limit reached! 
% 2.29/0.94  % (2429065)------------------------------
% 2.29/0.94  % (2429065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.94  % (2429065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.94  % (2429065)CaDiCaL version: 2.1.3
% 2.29/0.94  % (2429065)Termination reason: Instruction limit
% 2.29/0.94  % (2429065)Termination phase: Saturation
% 2.29/0.94  % (2429065)Time elapsed: 0.094 s
% 2.29/0.94  % (2429065)Peak memory usage: 12 MB
% 2.29/0.94  % (2429065)Instructions burned: 159 (million)
% 2.29/0.94  % (2429076)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=3530830278:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.29/0.94  % TRYING [8]
% 2.29/0.94  % (2429078)ott-21_1_sil=16000:fs=off:random_seed=2319770186:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.29/0.94  % TRYING [9]
% 2.29/0.94  % (2429075)Instruction limit reached! 
% 2.29/0.94  % (2429075)------------------------------
% 2.29/0.94  % (2429075)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.94  % (2429075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.94  % (2429075)CaDiCaL version: 2.1.3
% 2.29/0.94  % (2429075)Termination reason: Instruction limit
% 2.29/0.94  % (2429075)Termination phase: Saturation
% 2.29/0.94  % (2429075)Time elapsed: 0.085 s
% 2.29/0.94  % (2429075)Peak memory usage: 13 MB
% 2.29/0.94  % (2429075)Instructions burned: 132 (million)
% 2.29/0.94  % (2429081)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=401679521:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.29/0.94  % (2429078)Instruction limit reached! 
% 2.29/0.94  % (2429078)------------------------------
% 2.29/0.94  % (2429078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.94  % (2429078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.94  % (2429078)CaDiCaL version: 2.1.3
% 2.29/0.94  % (2429078)Termination reason: Instruction limit
% 2.29/0.94  % (2429078)Termination phase: Saturation
% 2.29/0.94  % (2429078)Time elapsed: 0.093 s
% 2.29/0.94  % (2429078)Peak memory usage: 13 MB
% 2.29/0.94  % (2429078)Instructions burned: 181 (million)
% 2.29/0.94  % (2429083)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3240637435:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.29/0.94  % TRYING [1]
% 2.29/0.94  % TRYING [2]
% 2.29/0.94  % TRYING [3]
% 2.29/0.94  % (2429073)Instruction limit reached! 
% 2.29/0.94  % (2429073)------------------------------
% 2.29/0.94  % (2429073)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.94  % (2429073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.94  % (2429073)CaDiCaL version: 2.1.3
% 2.29/0.94  % (2429073)Termination reason: Instruction limit
% 2.29/0.94  % (2429073)Termination phase: Finite model building SAT solving
% 2.29/0.94  % (2429073)Time elapsed: 0.195 s
% 2.29/0.94  % (2429073)Peak memory usage: 20 MB
% 2.29/0.94  % (2429073)Instructions burned: 715 (million)
% 2.29/0.94  % TRYING [4]
% 2.29/0.94  % (2429085)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2068355166:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.29/0.94  % TRYING [5]
% 2.29/0.94  % TRYING [6]
% 2.29/0.94  % TRYING [7]
% 2.29/0.94  % (2429085) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2429054-2429085"...
% 2.29/0.94  % (2429085)...printing done.
% 2.29/0.94  % (2429085)Refutation found. Thanks to Tanya!
% 2.29/0.94  % SZS status Theorem for theBenchmark
% 2.29/0.94  % SZS output start Proof for theBenchmark
% See solution above
% 2.29/0.95  % (2429085)------------------------------
% 2.29/0.95  % (2429085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.29/0.95  % (2429085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.29/0.95  % (2429085)CaDiCaL version: 2.1.3
% 2.29/0.95  % (2429085)Termination reason: Refutation
% 2.29/0.95  % (2429085)Time elapsed: 0.226 s
% 2.29/0.95  % (2429085)Peak memory usage: 20 MB
% 2.29/0.95  % (2429085)Instructions burned: 709 (million)
% 2.29/0.95  % (2429054)Success in time 0.518 s
% 2.29/0.95  % Vampire exiting
%------------------------------------------------------------------------------