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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEV562+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 : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:59:29 PM UTC 2026

% Result   : Theorem 45.24s 7.02s
% Output   : Refutation 45.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  161 (  71 unt;  16 def)
%            Number of atoms       :  313 (  68 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  241 (  89   ~; 120   |;  21   &)
%                                         (   7 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  17 con; 0-2 aty)
%            Number of variables   :  180 ( 175   !;   5   ?)

% 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(f2,axiom,
    ! [X0,X1] :
      ( subq(X0,X1)
     => ( subq(X1,X0)
       => X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',setext) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( disj(X0,X1)
    <=> ~ ? [X2] :
            ( mem(X2,X0)
            & mem(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',disj_def) ).

fof(f4,axiom,
    ! [X0] : ~ mem(X0,e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',e_ax) ).

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(f7,axiom,
    ! [X0,X1,X2] :
      ( mem(X0,m(X1,X2))
    <=> ( mem(X0,X1)
        & ~ mem(X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',m_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(f10,axiom,
    ! [X0,X1] :
      ( mem(X0,p(X1))
    <=> subq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET010+0.ax',p_ax) ).

fof(f26,conjecture,
    disj(m(p(a(p(s(n(e))),n(n(e)))),n(a(p(s(n(e))),n(n(e))))),u(s(u(n(e),n(s(n(e))))),n(a(p(s(n(e))),n(n(e)))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',disj_4914_8333) ).

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

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

fof(f29,plain,
    ! [X0,X1] :
      ( ~ ? [X2] :
            ( mem(X2,X0)
            & mem(X2,X1) )
     => disj(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f3]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( subq(X0,X1)
    <=> ! [X2] :
          ( mem(X2,X1)
          | ~ mem(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ subq(X1,X0)
      | ~ subq(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ subq(X1,X0)
      | ~ subq(X0,X1) ),
    inference(flattening,[],[f31]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( disj(X0,X1)
      | ? [X2] :
          ( mem(X2,X0)
          & mem(X2,X1) ) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f34,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,[],[f30]) ).

fof(f35,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,[],[f34]) ).

fof(f36,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))],[f35]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( disj(X0,X1)
      | ( mem(sK1(X0,X1),X0)
        & mem(sK1(X0,X1),X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f33]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( mem(X0,s(X1))
        | X0 != X1 )
      & ( X0 = X1
        | ~ mem(X0,s(X1)) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f39,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(f40,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,[],[f39]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ( mem(X0,m(X1,X2))
        | ~ mem(X0,X1)
        | mem(X0,X2) )
      & ( ( mem(X0,X1)
          & ~ mem(X0,X2) )
        | ~ mem(X0,m(X1,X2)) ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f42,plain,
    ! [X0,X1,X2] :
      ( ( mem(X0,m(X1,X2))
        | ~ mem(X0,X1)
        | mem(X0,X2) )
      & ( ( mem(X0,X1)
          & ~ mem(X0,X2) )
        | ~ mem(X0,m(X1,X2)) ) ),
    inference(flattening,[],[f41]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( ( mem(X0,p(X1))
        | ~ subq(X0,X1) )
      & ( subq(X0,X1)
        | ~ mem(X0,p(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f44,plain,
    ! [X3,X0,X1] :
      ( ~ mem(X3,X0)
      | mem(X3,X1)
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( mem(sK0(X0,X1),X0)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ mem(sK0(X0,X1),X1)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ subq(X1,X0)
      | X0 = X1
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( mem(sK1(X0,X1),X1)
      | disj(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f49,plain,
    ! [X0,X1] :
      ( mem(sK1(X0,X1),X0)
      | disj(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f50,plain,
    ! [X0] : ~ mem(X0,e),
    inference(cnf_transformation,[],[f4]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ~ mem(X0,s(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( mem(X0,s(X1))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f38]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,u(X1,X2))
      | mem(X0,X2)
      | mem(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( mem(X0,u(X1,X2))
      | ~ mem(X0,X2) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f55,plain,
    ! [X2,X0,X1] :
      ( mem(X0,u(X1,X2))
      | ~ mem(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f56,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,m(X1,X2))
      | ~ mem(X0,X2) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f57,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,m(X1,X2))
      | mem(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f58,plain,
    ! [X2,X0,X1] :
      ( mem(X0,m(X1,X2))
      | ~ mem(X0,X1)
      | mem(X0,X2) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f59,plain,
    ! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
    inference(cnf_transformation,[],[f8]) ).

fof(f60,plain,
    ! [X0] : n(X0) = a(X0,X0),
    inference(cnf_transformation,[],[f9]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ~ mem(X0,p(X1))
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

fof(f63,plain,
    ~ disj(m(p(a(p(s(n(e))),n(n(e)))),n(a(p(s(n(e))),n(n(e))))),u(s(u(n(e),n(s(n(e))))),n(a(p(s(n(e))),n(n(e)))))),
    inference(cnf_transformation,[],[f28]) ).

fof(f64,plain,
    ! [X0] : n(X0) = u(X0,s(X0)),
    inference(definition_unfolding,[],[f60,f59]) ).

fof(f65,plain,
    ~ disj(m(p(u(p(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),u(u(p(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(p(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),u(u(p(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(p(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),
    inference(definition_unfolding,[],[f63,f59,f64,f64,f64,f64,f59,f64,f64,f64,f64,f64,f64,f64,f59,f64,f64,f64]) ).

fof(f66,plain,
    ! [X1] : mem(X1,s(X1)),
    inference(equality_resolution,[],[f52]) ).

fof(f67,definition,
    sF2 = s(e),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f68,plain,
    s(e) = sF2,
    inference(reorient_equations,[],[f67]) ).

fof(f69,definition,
    sF3 = u(e,sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f70,plain,
    u(e,sF2) = sF3,
    inference(reorient_equations,[],[f69]) ).

fof(f71,definition,
    sF4 = s(sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f72,plain,
    s(sF3) = sF4,
    inference(reorient_equations,[],[f71]) ).

fof(f73,definition,
    sF5 = p(sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f74,plain,
    p(sF4) = sF5,
    inference(reorient_equations,[],[f73]) ).

fof(f75,definition,
    sF6 = u(sF3,sF4),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f76,plain,
    u(sF3,sF4) = sF6,
    inference(reorient_equations,[],[f75]) ).

fof(f77,definition,
    sF7 = s(sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f78,plain,
    s(sF6) = sF7,
    inference(reorient_equations,[],[f77]) ).

fof(f79,definition,
    sF8 = u(sF5,sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f80,plain,
    u(sF5,sF7) = sF8,
    inference(reorient_equations,[],[f79]) ).

fof(f81,definition,
    sF9 = p(sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f82,plain,
    p(sF8) = sF9,
    inference(reorient_equations,[],[f81]) ).

fof(f83,definition,
    sF10 = s(sF8),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f84,plain,
    s(sF8) = sF10,
    inference(reorient_equations,[],[f83]) ).

fof(f85,definition,
    sF11 = u(sF8,sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f86,plain,
    u(sF8,sF10) = sF11,
    inference(reorient_equations,[],[f85]) ).

fof(f87,definition,
    sF12 = m(sF9,sF11),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f88,plain,
    m(sF9,sF11) = sF12,
    inference(reorient_equations,[],[f87]) ).

fof(f89,definition,
    sF13 = s(sF4),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f90,plain,
    s(sF4) = sF13,
    inference(reorient_equations,[],[f89]) ).

fof(f91,definition,
    sF14 = u(sF4,sF13),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f92,plain,
    u(sF4,sF13) = sF14,
    inference(reorient_equations,[],[f91]) ).

fof(f93,definition,
    sF15 = u(sF3,sF14),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f94,plain,
    u(sF3,sF14) = sF15,
    inference(reorient_equations,[],[f93]) ).

fof(f95,definition,
    sF16 = s(sF15),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f96,plain,
    s(sF15) = sF16,
    inference(reorient_equations,[],[f95]) ).

fof(f97,definition,
    sF17 = u(sF16,sF11),
    introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).

fof(f98,plain,
    u(sF16,sF11) = sF17,
    inference(reorient_equations,[],[f97]) ).

fof(f99,plain,
    ~ disj(sF12,sF17),
    inference(definition_folding,[],[f65,f98,f86,f84,f80,f78,f76,f72,f70,f68,f70,f68,f74,f72,f70,f68,f80,f78,f76,f72,f70,f68,f70,f68,f74,f72,f70,f68,f96,f94,f92,f90,f72,f70,f68,f72,f70,f68,f70,f68,f88,f86,f84,f80,f78,f76,f72,f70,f68,f70,f68,f74,f72,f70,f68,f80,f78,f76,f72,f70,f68,f70,f68,f74,f72,f70,f68,f82,f80,f78,f76,f72,f70,f68,f70,f68,f74,f72,f70,f68]) ).

fof(f100,plain,
    mem(e,sF2),
    inference(superposition,[],[f66,f68]) ).

fof(f101,plain,
    mem(sF3,sF4),
    inference(superposition,[],[f66,f72]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ mem(X0,sF2)
      | e = X0 ),
    inference(superposition,[],[f51,f68]) ).

fof(f108,plain,
    ! [X0] :
      ( ~ mem(X0,sF4)
      | sF3 = X0 ),
    inference(superposition,[],[f51,f72]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ mem(X0,sF7)
      | sF6 = X0 ),
    inference(superposition,[],[f51,f78]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ mem(X0,sF16)
      | sF15 = X0 ),
    inference(superposition,[],[f51,f96]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ mem(X0,sF5)
      | subq(X0,sF4) ),
    inference(superposition,[],[f61,f74]) ).

fof(f115,plain,
    ! [X0] :
      ( ~ mem(X0,sF9)
      | subq(X0,sF8) ),
    inference(superposition,[],[f61,f82]) ).

fof(f121,plain,
    ! [X0] : subq(e,X0),
    inference(resolution,[],[f45,f50]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( ~ mem(sK0(X0,u(X1,X2)),X2)
      | subq(X0,u(X1,X2)) ),
    inference(resolution,[],[f54,f46]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ mem(X0,sF2)
      | mem(X0,sF3) ),
    inference(superposition,[],[f54,f70]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ mem(X0,sF4)
      | mem(X0,sF6) ),
    inference(superposition,[],[f54,f76]) ).

fof(f158,plain,
    ! [X0] :
      ( ~ mem(X0,sF4)
      | mem(X0,sF14) ),
    inference(superposition,[],[f55,f92]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( ~ mem(sK0(m(X0,X1),X2),X1)
      | subq(m(X0,X1),X2) ),
    inference(resolution,[],[f56,f45]) ).

fof(f169,plain,
    ! [X0] :
      ( ~ mem(X0,sF12)
      | ~ mem(X0,sF11) ),
    inference(superposition,[],[f56,f88]) ).

fof(f174,plain,
    ! [X2,X0,X1] :
      ( mem(sK0(m(X0,X1),X2),X0)
      | subq(m(X0,X1),X2) ),
    inference(resolution,[],[f57,f45]) ).

fof(f186,plain,
    ! [X2,X0,X1] :
      ( mem(sK0(X0,X1),X2)
      | ~ subq(X0,X2)
      | subq(X0,X1) ),
    inference(resolution,[],[f44,f45]) ).

fof(f188,plain,
    ! [X2,X0,X1] :
      ( mem(sK1(X0,X1),X2)
      | ~ subq(X0,X2)
      | disj(X0,X1) ),
    inference(resolution,[],[f44,f49]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ subq(sF4,X0)
      | mem(sF3,X0) ),
    inference(resolution,[],[f44,f101]) ).

fof(f197,plain,
    ! [X0] :
      ( ~ subq(X0,e)
      | e = X0 ),
    inference(resolution,[],[f47,f121]) ).

fof(f204,plain,
    ! [X2,X0,X1] :
      ( mem(sK1(X0,u(X1,X2)),X2)
      | mem(sK1(X0,u(X1,X2)),X1)
      | disj(X0,u(X1,X2)) ),
    inference(resolution,[],[f53,f48]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ mem(X0,sF3)
      | mem(X0,sF2)
      | mem(X0,e) ),
    inference(superposition,[],[f53,f70]) ).

fof(f210,plain,
    ! [X0] :
      ( ~ mem(X0,sF8)
      | mem(X0,sF7)
      | mem(X0,sF5) ),
    inference(superposition,[],[f53,f80]) ).

fof(f213,plain,
    ! [X0] :
      ( ~ mem(X0,sF3)
      | mem(X0,sF2) ),
    inference(forward_subsumption_resolution,[],[f206,f50]) ).

fof(f219,plain,
    ! [X2,X0,X1] :
      ( ~ mem(sK0(X0,m(X1,X2)),X1)
      | mem(sK0(X0,m(X1,X2)),X2)
      | subq(X0,m(X1,X2)) ),
    inference(resolution,[],[f58,f46]) ).

fof(f227,plain,
    mem(e,sF3),
    inference(resolution,[],[f143,f100]) ).

fof(f236,plain,
    mem(sF3,sF6),
    inference(resolution,[],[f144,f101]) ).

fof(f237,plain,
    ! [X0] :
      ( ~ subq(sF3,X0)
      | mem(e,X0) ),
    inference(resolution,[],[f227,f44]) ).

fof(f273,plain,
    ! [X0] :
      ( mem(sK0(sF4,X0),sF14)
      | subq(sF4,X0) ),
    inference(resolution,[],[f158,f45]) ).

fof(f297,plain,
    ! [X0] :
      ( ~ mem(sK1(sF12,X0),sF11)
      | disj(sF12,X0) ),
    inference(resolution,[],[f169,f49]) ).

fof(f306,plain,
    ! [X0] :
      ( mem(sK0(sF3,X0),sF2)
      | subq(sF3,X0) ),
    inference(resolution,[],[f213,f45]) ).

fof(f458,plain,
    ! [X2,X3,X0,X1] :
      ( ~ subq(X1,X3)
      | subq(X0,X2)
      | mem(sK0(X0,X2),X3)
      | ~ subq(X0,X1) ),
    inference(resolution,[],[f186,f44]) ).

fof(f570,plain,
    ! [X0,X1] :
      ( subq(sK1(X0,X1),sF8)
      | disj(X0,X1)
      | ~ subq(X0,sF9) ),
    inference(resolution,[],[f188,f115]) ).

fof(f591,plain,
    ! [X0,X1] :
      ( subq(X0,u(X1,X0))
      | subq(X0,u(X1,X0)) ),
    inference(resolution,[],[f142,f45]) ).

fof(f599,plain,
    ! [X0] :
      ( ~ mem(sK0(X0,sF15),sF14)
      | subq(X0,sF15) ),
    inference(superposition,[],[f142,f94]) ).

fof(f605,plain,
    ! [X0,X1] : subq(X0,u(X1,X0)),
    inference(duplicate_literal_removal,[],[f591]) ).

fof(f623,plain,
    subq(sF2,sF3),
    inference(superposition,[],[f605,f70]) ).

fof(f681,plain,
    ! [X0,X1] :
      ( subq(m(X0,X0),X1)
      | subq(m(X0,X0),X1) ),
    inference(resolution,[],[f174,f166]) ).

fof(f682,plain,
    ! [X0,X1] :
      ( subq(m(X0,X1),X0)
      | subq(m(X0,X1),X0) ),
    inference(resolution,[],[f174,f46]) ).

fof(f726,plain,
    ! [X0,X1] : subq(m(X0,X1),X0),
    inference(duplicate_literal_removal,[],[f682]) ).

fof(f727,plain,
    ! [X0,X1] : subq(m(X0,X0),X1),
    inference(duplicate_literal_removal,[],[f681]) ).

fof(f1030,plain,
    ! [X0,X1] :
      ( mem(sK1(X0,u(sF16,X1)),X1)
      | disj(X0,u(sF16,X1))
      | sF15 = sK1(X0,u(sF16,X1)) ),
    inference(resolution,[],[f204,f112]) ).

fof(f1148,plain,
    ! [X0,X1] :
      ( mem(sK0(X0,m(X0,X1)),X1)
      | subq(X0,m(X0,X1))
      | subq(X0,m(X0,X1)) ),
    inference(resolution,[],[f219,f45]) ).

fof(f1162,plain,
    ! [X0,X1] :
      ( mem(sK0(X0,m(X0,X1)),X1)
      | subq(X0,m(X0,X1)) ),
    inference(duplicate_literal_removal,[],[f1148]) ).

fof(f1192,plain,
    subq(sF12,sF9),
    inference(superposition,[],[f726,f88]) ).

fof(f1198,plain,
    ! [X0] : e = m(X0,X0),
    inference(resolution,[],[f727,f197]) ).

fof(f1844,plain,
    ( subq(sF3,sF2)
    | subq(sF3,sF2) ),
    inference(resolution,[],[f306,f46]) ).

fof(f1854,plain,
    subq(sF3,sF2),
    inference(duplicate_literal_removal,[],[f1844]) ).

fof(f1856,plain,
    ( sF2 = sF3
    | ~ subq(sF2,sF3) ),
    inference(resolution,[],[f1854,f47]) ).

fof(f1857,plain,
    sF2 = sF3,
    inference(forward_subsumption_resolution,[],[f1856,f623]) ).

fof(f1867,plain,
    ! [X0] :
      ( ~ mem(X0,sF3)
      | e = X0 ),
    inference(superposition,[],[f107,f1857]) ).

fof(f1949,plain,
    ( subq(sF4,sF15)
    | subq(sF4,sF15) ),
    inference(resolution,[],[f599,f273]) ).

fof(f1952,plain,
    subq(sF4,sF15),
    inference(duplicate_literal_removal,[],[f1949]) ).

fof(f7776,plain,
    ! [X0] : subq(X0,m(X0,e)),
    inference(resolution,[],[f1162,f50]) ).

fof(f11508,plain,
    mem(e,m(sF3,e)),
    inference(resolution,[],[f7776,f237]) ).

fof(f31649,plain,
    ( disj(sF12,u(sF16,sF11))
    | sF15 = sK1(sF12,u(sF16,sF11))
    | disj(sF12,u(sF16,sF11)) ),
    inference(resolution,[],[f1030,f297]) ).

fof(f31709,plain,
    ( disj(sF12,u(sF16,sF11))
    | sF15 = sK1(sF12,u(sF16,sF11)) ),
    inference(duplicate_literal_removal,[],[f31649]) ).

fof(f31727,plain,
    ( disj(sF12,sF17)
    | sF15 = sK1(sF12,u(sF16,sF11)) ),
    inference(forward_demodulation,[],[f31709,f98]) ).

fof(f31738,plain,
    sF15 = sK1(sF12,u(sF16,sF11)),
    inference(forward_subsumption_resolution,[],[f31727,f99]) ).

fof(f31748,plain,
    sF15 = sK1(sF12,sF17),
    inference(forward_demodulation,[],[f31738,f98]) ).

fof(f31801,plain,
    ( subq(sF15,sF8)
    | disj(sF12,sF17)
    | ~ subq(sF12,sF9) ),
    inference(superposition,[],[f570,f31748]) ).

fof(f31819,plain,
    ( subq(sF15,sF8)
    | ~ subq(sF12,sF9) ),
    inference(forward_subsumption_resolution,[],[f31801,f99]) ).

fof(f31859,plain,
    subq(sF15,sF8),
    inference(forward_subsumption_resolution,[],[f31819,f1192]) ).

fof(f32653,plain,
    ! [X0,X1] :
      ( mem(sK0(X0,X1),sF8)
      | subq(X0,X1)
      | ~ subq(X0,sF15) ),
    inference(resolution,[],[f31859,f458]) ).

fof(f61330,plain,
    ! [X0] :
      ( subq(X0,sF8)
      | ~ subq(X0,sF15)
      | subq(X0,sF8) ),
    inference(resolution,[],[f32653,f46]) ).

fof(f61403,plain,
    ! [X0] :
      ( ~ subq(X0,sF15)
      | subq(X0,sF8) ),
    inference(duplicate_literal_removal,[],[f61330]) ).

fof(f61888,plain,
    subq(sF4,sF8),
    inference(resolution,[],[f61403,f1952]) ).

fof(f62010,plain,
    mem(sF3,sF8),
    inference(resolution,[],[f61888,f189]) ).

fof(f62226,plain,
    ( mem(sF3,sF7)
    | mem(sF3,sF5) ),
    inference(resolution,[],[f62010,f210]) ).

fof(f69713,plain,
    ( mem(sF3,sF5)
    | sF3 = sF6 ),
    inference(resolution,[],[f62226,f110]) ).

fof(f71629,plain,
    ( subq(sF3,sF4)
    | sF3 = sF6 ),
    inference(resolution,[],[f69713,f114]) ).

fof(f71649,plain,
    ( mem(e,sF4)
    | sF3 = sF6 ),
    inference(resolution,[],[f71629,f237]) ).

fof(f72038,plain,
    ( sF3 = sF6
    | e = sF3 ),
    inference(resolution,[],[f71649,f108]) ).

fof(f72078,plain,
    ( mem(sF3,sF3)
    | e = sF3 ),
    inference(superposition,[],[f236,f72038]) ).

fof(f72234,plain,
    e = sF3,
    inference(forward_subsumption_resolution,[],[f72078,f1867]) ).

fof(f72354,plain,
    mem(sF3,m(sF3,sF3)),
    inference(superposition,[],[f11508,f72234]) ).

fof(f72398,plain,
    mem(sF3,e),
    inference(forward_demodulation,[],[f72354,f1198]) ).

fof(f72464,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f72398,f50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEV562+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38  % Computer : n026.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.39  % CPULimit : 300
% 0.10/0.39  % WCLimit  : 300
% 0.10/0.39  % DateTime : Mon Sep 28 06:39:27 UTC 2026
% 0.10/0.39  % CPUTime  : 
% 0.10/0.39  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42  Running first-order model finding
% 0.10/0.42  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
% 15.28/2.63  % (3654744)Will run a generic schedule for satisfiability detection.
% 15.28/2.63  % (3654753)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3532337649:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.28/2.63  % (3654750)% WARNING: option uhcvi not known.
% 15.28/2.63  % (3654751)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=108320768:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.28/2.63  % (3654749)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4224315149_2999 on theBenchmark for (2999ds/0Mi)
% 15.28/2.63  % (3654750)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3243973072:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.28/2.63  % (3654752)dis+10_1_sil=32000:sp=arity:random_seed=3105857542:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.28/2.63  % (3654755)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2486626205:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.28/2.63  % (3654754)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1904957228:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.28/2.63  % TRYING [1]
% 15.28/2.63  % TRYING [2]
% 15.28/2.63  % TRYING [3]
% 15.28/2.63  % TRYING [4]
% 15.28/2.63  % TRYING [5]
% 15.28/2.63  % TRYING [6]
% 15.28/2.63  % TRYING [7]
% 15.28/2.63  % (3654753)Instruction limit reached! 
% 15.28/2.63  % (3654753)------------------------------
% 15.28/2.63  % (3654753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.63  % (3654753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.63  % (3654753)CaDiCaL version: 2.1.3
% 15.28/2.63  % (3654753)Termination reason: Instruction limit
% 15.28/2.63  % (3654753)Termination phase: Saturation
% 15.28/2.63  % (3654753)Time elapsed: 0.038 s
% 15.28/2.63  % (3654753)Peak memory usage: 12 MB
% 15.28/2.63  % (3654753)Instructions burned: 117 (million)
% 15.28/2.63  % (3654763)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2849636965:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.28/2.63  % TRYING [1]
% 15.28/2.63  % TRYING [2]
% 15.28/2.63  % TRYING [3]
% 15.28/2.63  % TRYING [4]
% 15.28/2.63  % TRYING [5]
% 15.28/2.63  % TRYING [6]
% 15.28/2.63  % TRYING [8]
% 15.28/2.63  % (3654752)Instruction limit reached! 
% 15.28/2.63  % (3654752)------------------------------
% 15.28/2.63  % (3654752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.63  % (3654752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.63  % TRYING [7]
% 15.28/2.63  % (3654752)CaDiCaL version: 2.1.3
% 15.28/2.63  % (3654752)Termination reason: Instruction limit
% 15.28/2.63  % (3654752)Termination phase: Saturation
% 15.28/2.63  % (3654752)Time elapsed: 0.064 s
% 15.28/2.63  % (3654752)Peak memory usage: 12 MB
% 15.28/2.63  % (3654752)Instructions burned: 103 (million)
% 15.28/2.63  % (3654754)Instruction limit reached! 
% 15.28/2.63  % (3654754)------------------------------
% 15.28/2.63  % (3654754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.63  % (3654754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.63  % (3654754)CaDiCaL version: 2.1.3
% 15.28/2.63  % (3654754)Termination reason: Instruction limit
% 15.28/2.63  % (3654754)Termination phase: Saturation
% 15.28/2.63  % (3654754)Time elapsed: 0.079 s
% 15.28/2.63  % (3654754)Peak memory usage: 13 MB
% 15.28/2.63  % (3654754)Instructions burned: 131 (million)
% 15.28/2.63  % (3654765)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2226901719:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 15.28/2.63  % (3654755)Instruction limit reached! 
% 15.28/2.63  % (3654755)------------------------------
% 15.28/2.63  % (3654755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.28/2.63  % (3654755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.28/2.63  % (3654755)CaDiCaL version: 2.1.3
% 15.28/2.63  % (3654755)Termination reason: Instruction limit
% 15.28/2.63  % (3654755)Termination phase: Saturation
% 15.28/2.63  % (3654755)Time elapsed: 0.092 s
% 15.28/2.63  % (3654755)Peak memory usage: 12 MB
% 15.28/2.63  % (3654755)Instructions burned: 160 (million)
% 15.28/2.63  % (3654766)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=3749860728:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.28/2.63  % TRYING [8]
% 15.28/2.63  % (3654768)ott-21_1_sil=16000:fs=off:random_seed=3552781800:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.28/2.63  % TRYING [9]
% 15.28/2.63  % (3654765)Instruction limit reached! 
% 15.28/2.63  % (3654765)------------------------------
% 44.70/6.82  % (3654765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.70/6.82  % (3654765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.70/6.82  % (3654765)CaDiCaL version: 2.1.3
% 44.70/6.82  % (3654765)Termination reason: Instruction limit
% 44.70/6.82  % (3654765)Termination phase: Saturation
% 44.70/6.82  % (3654765)Time elapsed: 0.083 s
% 44.70/6.82  % (3654765)Peak memory usage: 13 MB
% 44.70/6.82  % (3654765)Instructions burned: 133 (million)
% 44.70/6.82  % (3654771)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2999700888:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 44.70/6.82  % (3654768)Instruction limit reached! 
% 44.70/6.82  % (3654768)------------------------------
% 44.70/6.82  % (3654768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.70/6.82  % (3654768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.70/6.82  % (3654768)CaDiCaL version: 2.1.3
% 44.70/6.82  % (3654768)Termination reason: Instruction limit
% 44.70/6.82  % (3654768)Termination phase: Saturation
% 44.70/6.82  % (3654768)Time elapsed: 0.092 s
% 44.70/6.82  % (3654768)Peak memory usage: 13 MB
% 44.70/6.82  % (3654768)Instructions burned: 180 (million)
% 44.70/6.82  % (3654773)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=590569620:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 44.70/6.82  % TRYING [1]
% 44.70/6.82  % TRYING [2]
% 44.70/6.82  % TRYING [3]
% 44.70/6.82  % TRYING [4]
% 44.70/6.82  % (3654763)Instruction limit reached! 
% 44.70/6.82  % (3654763)------------------------------
% 44.70/6.82  % (3654763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.70/6.82  % (3654763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.70/6.82  % (3654763)CaDiCaL version: 2.1.3
% 44.70/6.82  % (3654763)Termination reason: Instruction limit
% 44.70/6.82  % (3654763)Termination phase: Finite model building SAT solving
% 44.70/6.82  % (3654763)Time elapsed: 0.197 s
% 44.70/6.82  % (3654763)Peak memory usage: 19 MB
% 44.70/6.82  % (3654763)Instructions burned: 715 (million)
% 44.70/6.82  % (3654775)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=913268922:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 44.70/6.82  % TRYING [5]
% 44.70/6.82  % TRYING [6]
% 44.70/6.82  % TRYING [7]
% 44.70/6.82  % TRYING [8]
% 44.70/6.82  % (3654766)Instruction limit reached! 
% 44.70/6.82  % (3654766)------------------------------
% 44.70/6.82  % (3654766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.70/6.82  % (3654766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.70/6.82  % (3654766)CaDiCaL version: 2.1.3
% 44.70/6.82  % (3654766)Termination reason: Instruction limit
% 44.70/6.82  % (3654766)Termination phase: Saturation
% 44.70/6.82  % (3654766)Time elapsed: 0.366 s
% 44.70/6.82  % (3654766)Peak memory usage: 16 MB
% 44.70/6.82  % (3654766)Instructions burned: 685 (million)
% 44.70/6.82  % (3654777)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2095589356:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 44.70/6.82  % TRYING [10]
% 44.70/6.82  % TRYING [14]
% 44.70/6.82  % (3654771)Instruction limit reached! 
% 44.70/6.82  % (3654771)------------------------------
% 44.70/6.82  % (3654771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.70/6.82  % (3654771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.70/6.82  % (3654771)CaDiCaL version: 2.1.3
% 44.70/6.82  % (3654771)Termination reason: Instruction limit
% 44.70/6.82  % (3654771)Termination phase: Saturation
% 44.70/6.82  % (3654771)Time elapsed: 0.318 s
% 44.70/6.82  % (3654771)Peak memory usage: 14 MB
% 44.70/6.82  % (3654771)Instructions burned: 477 (million)
% 44.70/6.82  % (3654779)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=1813566900: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)
% 44.70/6.82  % (3654773)Instruction limit reached! 
% 44.70/6.82  % (3654773)------------------------------
% 44.70/6.82  % (3654773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.70/6.82  % (3654773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.70/6.82  % (3654773)CaDiCaL version: 2.1.3
% 44.70/6.82  % (3654773)Termination reason: Instruction limit
% 44.70/6.82  % (3654773)Termination phase: Finite model building SAT solving
% 44.70/6.82  % (3654773)Time elapsed: 0.318 s
% 44.70/6.82  % (3654773)Peak memory usage: 16 MB
% 44.70/6.82  % (3654773)Instructions burned: 868 (million)
% 44.70/6.82  % (3654781)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3680297652:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 45.24/7.02  % (3654775)Instruction limit reached! 
% 45.24/7.02  % (3654775)------------------------------
% 45.24/7.02  % (3654775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.24/7.02  % (3654775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.24/7.02  % (3654775)CaDiCaL version: 2.1.3
% 45.24/7.02  % (3654775)Termination reason: Instruction limit
% 45.24/7.02  % (3654775)Termination phase: Saturation
% 45.24/7.02  % (3654775)Time elapsed: 0.367 s
% 45.24/7.02  % (3654775)Peak memory usage: 25 MB
% 45.24/7.02  % (3654775)Instructions burned: 1183 (million)
% 45.24/7.02  % (3654783)fmb+10_1_sil=64000:random_seed=3735649519:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 45.24/7.02  % TRYING [1]
% 45.24/7.02  % TRYING [2]
% 45.24/7.02  % TRYING [3]
% 45.24/7.02  % TRYING [4]
% 45.24/7.02  % TRYING [5]
% 45.24/7.02  % TRYING [6]
% 45.24/7.02  % TRYING [7]
% 45.24/7.02  % TRYING [8]
% 45.24/7.02  % TRYING [9]
% 45.24/7.02  % (3654777)Instruction limit reached! 
% 45.24/7.02  % (3654777)------------------------------
% 45.24/7.02  % (3654777)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.24/7.02  % (3654777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.24/7.02  % (3654777)CaDiCaL version: 2.1.3
% 45.24/7.02  % (3654777)Termination reason: Instruction limit
% 45.24/7.02  % (3654777)Termination phase: Finite model building SAT solving
% 45.24/7.02  % (3654777)Time elapsed: 0.344 s
% 45.24/7.02  % (3654777)Peak memory usage: 41 MB
% 45.24/7.02  % (3654777)Instructions burned: 890 (million)
% 45.24/7.02  % TRYING [10]
% 45.24/7.02  % (3654785)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=751524410:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 45.24/7.02  % TRYING [20]
% 45.24/7.02  % (3654779)Instruction limit reached! 
% 45.24/7.02  % (3654779)------------------------------
% 45.24/7.02  % (3654779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.24/7.02  % (3654779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.24/7.02  % (3654779)CaDiCaL version: 2.1.3
% 45.24/7.02  % (3654779)Termination reason: Instruction limit
% 45.24/7.02  % (3654779)Termination phase: Saturation
% 45.24/7.02  % (3654779)Time elapsed: 0.367 s
% 45.24/7.02  % (3654779)Peak memory usage: 16 MB
% 45.24/7.02  % (3654779)Instructions burned: 692 (million)
% 45.24/7.02  % (3654787)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3855035395:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 45.24/7.02  % TRYING [8]
% 45.24/7.02  % TRYING [11]
% 45.24/7.02  % TRYING [9]
% 45.24/7.02  % (3654781)Instruction limit reached! 
% 45.24/7.02  % (3654781)------------------------------
% 45.24/7.02  % (3654781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.24/7.02  % (3654781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.24/7.02  % (3654781)CaDiCaL version: 2.1.3
% 45.24/7.02  % (3654781)Termination reason: Instruction limit
% 45.24/7.02  % (3654781)Termination phase: Saturation
% 45.24/7.02  % (3654781)Time elapsed: 0.491 s
% 45.24/7.02  % (3654781)Peak memory usage: 19 MB
% 45.24/7.02  % (3654781)Instructions burned: 880 (million)
% 45.24/7.02  % (3654789)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=80576194:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 45.24/7.02  % TRYING [12]
% 45.24/7.02  % TRYING [10]
% 45.24/7.02  % (3654787)Instruction limit reached! 
% 45.24/7.02  % (3654787)------------------------------
% 45.24/7.02  % (3654787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.24/7.02  % (3654787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.24/7.02  % (3654787)CaDiCaL version: 2.1.3
% 45.24/7.02  % (3654787)Termination reason: Instruction limit
% 45.24/7.02  % (3654787)Termination phase: Finite model building constraint generation
% 45.24/7.02  % (3654787)Time elapsed: 0.448 s
% 45.24/7.02  % (3654787)Peak memory usage: 23 MB
% 45.24/7.02  % (3654787)Instructions burned: 924 (million)
% 45.24/7.02  % (3654791)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2415174582:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 45.24/7.02  % TRYING [13]
% 45.24/7.02  % TRYING [14]
% 45.24/7.02  % TRYING [11]
% 45.24/7.02  % (3654791)Instruction limit reached! 
% 45.24/7.02  % (3654791)------------------------------
% 45.24/7.02  % (3654791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.24/7.02  % (3654791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.24/7.02  % (3654791)CaDiCaL version: 2.1.3
% 45.24/7.02  % (3654791)Termination reason: Instruction limit
% 45.24/7.02  % (3654791)Termination phase: Saturation
% 45.24/7.02  % (3654791)Time elapsed: 0.764 s
% 45.24/7.02  % (3654791)Peak memory usage: 23 MB
% 45.24/7.02  % (3654791)Instructions burned: 1473 (million)
% 45.24/7.02  % (3654793)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3549114426:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 45.24/7.02  % TRYING [77]
% 45.24/7.02  % (3654789)Instruction limit reached! 
% 45.24/7.02  % (3654789)------------------------------
% 45.24/7.02  % (3654789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.24/7.02  % (3654789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.24/7.02  % (3654789)CaDiCaL version: 2.1.3
% 45.24/7.02  % (3654789)Termination reason: Instruction limit
% 45.24/7.02  % (3654789)Termination phase: Saturation
% 45.24/7.02  % (3654789)Time elapsed: 2.798 s
% 45.24/7.02  % (3654789)Peak memory usage: 31 MB
% 45.24/7.02  % (3654789)Instructions burned: 5131 (million)
% 45.24/7.02  % (3654795)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3803556203:fmbsr=2.30978:i=2174_2960 on theBenchmark for (2960ds/2174Mi)
% 45.24/7.02  % TRYING [16]
% 45.24/7.02  % (3654793)Instruction limit reached! 
% 45.24/7.02  % (3654793)------------------------------
% 45.24/7.02  % (3654793)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.24/7.02  % (3654793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.24/7.02  % (3654793)CaDiCaL version: 2.1.3
% 45.24/7.02  % (3654793)Termination reason: Instruction limit
% 45.24/7.02  % (3654793)Termination phase: Finite model building constraint generation
% 45.24/7.02  % (3654793)Time elapsed: 2.337 s
% 45.24/7.02  % (3654793)Peak memory usage: 494 MB
% 45.24/7.02  % (3654793)Instructions burned: 6326 (million)
% 45.24/7.02  % (3654797)ott-2_1_sil=16000:newcnf=on:random_seed=907624749:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2953 on theBenchmark for (2953ds/869Mi)
% 45.24/7.02  % (3654795)Instruction limit reached! 
% 45.24/7.02  % (3654795)------------------------------
% 45.24/7.02  % (3654795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.24/7.02  % (3654795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.24/7.02  % (3654795)CaDiCaL version: 2.1.3
% 45.24/7.02  % (3654795)Termination reason: Instruction limit
% 45.24/7.02  % (3654795)Termination phase: Finite model building constraint generation
% 45.24/7.02  % (3654795)Time elapsed: 0.854 s
% 45.24/7.02  % (3654795)Peak memory usage: 151 MB
% 45.24/7.02  % (3654795)Instructions burned: 2175 (million)
% 45.24/7.02  % (3654799)ott+10_1_sil=32000:tgt=ground:random_seed=2007069808:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 45.24/7.02  % TRYING [12]
% 45.24/7.02  % (3654797)Instruction limit reached! 
% 45.24/7.02  % (3654797)------------------------------
% 45.24/7.02  % (3654797)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.24/7.02  % (3654797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.24/7.02  % (3654797)CaDiCaL version: 2.1.3
% 45.24/7.02  % (3654797)Termination reason: Instruction limit
% 45.24/7.02  % (3654797)Termination phase: Saturation
% 45.24/7.02  % (3654797)Time elapsed: 0.526 s
% 45.24/7.02  % (3654797)Peak memory usage: 17 MB
% 45.24/7.02  % (3654797)Instructions burned: 870 (million)
% 45.24/7.02  % (3654801)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4179897121:i=54282_2948 on theBenchmark for (2948ds/54282Mi)
% 45.24/7.02  % TRYING [1]
% 45.24/7.02  % TRYING [2]
% 45.24/7.02  % TRYING [3]
% 45.24/7.02  % TRYING [4]
% 45.24/7.02  % TRYING [5]
% 45.24/7.02  % TRYING [6]
% 45.24/7.02  % TRYING [7]
% 45.24/7.02  % TRYING [8]
% 45.24/7.02  % TRYING [9]
% 45.24/7.02  % TRYING [10]
% 45.24/7.02  % (3654785)Instruction limit reached! 
% 45.24/7.02  % (3654785)------------------------------
% 45.24/7.02  % (3654785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.24/7.02  % (3654785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.24/7.02  % (3654785)CaDiCaL version: 2.1.3
% 45.24/7.02  % (3654785)Termination reason: Instruction limit
% 45.24/7.02  % (3654785)Termination phase: Finite model building SAT solving
% 45.24/7.02  % (3654785)Time elapsed: 5.076 s
% 45.24/7.02  % (3654785)Peak memory usage: 205 MB
% 45.24/7.02  % (3654785)Instructions burned: 9516 (million)
% 45.24/7.02  % (3654803)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=647273085:i=3512:aac=none_2940 on theBenchmark for (2940ds/3512Mi)
% 45.24/7.02  % (3654783)Instruction limit reached! 
% 45.24/7.02  % (3654783)------------------------------
% 45.24/7.02  % (3654783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.24/7.02  % (3654783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.24/7.02  % (3654783)CaDiCaL version: 2.1.3
% 45.24/7.02  % (3654783)Termination reason: Instruction limit
% 45.24/7.02  % (3654783)Termination phase: Finite model building SAT solving
% 45.24/7.02  % (3654783)Time elapsed: 5.709 s
% 45.24/7.02  % (3654783)Peak memory usage: 48 MB
% 45.24/7.02  % (3654783)Instructions burned: 22064 (million)
% 45.24/7.02  % (3654805)dis+21_1_sil=32000:sas=cadical:random_seed=2993863446:i=3773:amm=off_2936 on theBenchmark for (2936ds/3773Mi)
% 45.24/7.02  % (3654799) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3654744-3654799"...
% 45.24/7.02  % (3654799)...printing done.
% 45.24/7.02  % (3654799)Refutation found. Thanks to Tanya!
% 45.24/7.02  % SZS status Theorem for theBenchmark
% 45.24/7.02  % SZS output start Proof for theBenchmark
% See solution above
% 45.24/7.03  % (3654799)------------------------------
% 45.24/7.03  % (3654799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 45.24/7.03  % (3654799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.24/7.03  % (3654799)CaDiCaL version: 2.1.3
% 45.24/7.03  % (3654799)Termination reason: Refutation
% 45.24/7.03  % (3654799)Time elapsed: 1.748 s
% 45.24/7.03  % (3654799)Peak memory usage: 43 MB
% 45.24/7.03  % (3654799)Instructions burned: 3047 (million)
% 45.24/7.03  % (3654744)Success in time 6.593 s
% 45.24/7.03  % Vampire exiting
%------------------------------------------------------------------------------