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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEV540+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n012.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 12:59:27 PM UTC 2026

% Result   : Theorem 3.47s 1.02s
% Output   : Refutation 3.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  213 (  66 unt;  21 def)
%            Number of atoms       :  437 (  60 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  391 ( 167   ~; 182   |;  18   &)
%                                         (  19 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    9 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  13 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;  10 con; 0-2 aty)
%            Number of variables   :  124 (   0 sgn 118   !;   6   ?)

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

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

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

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

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

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

fof(f10,axiom,
    ! [X0,X1] :
      ( mem(X0,p(X1))
    <=> subq(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',p_ax) ).

fof(f11,axiom,
    ! [X0] :
      ( atleast2p(X0)
    <=> ? [X1] :
          ( mem(X1,X0)
          & ~ subq(X0,p(X1)) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',atleast2p_def) ).

fof(f12,axiom,
    ! [X0] :
      ( atleast3p(X0)
    <=> ? [X1] :
          ( subq(X1,X0)
          & atleast2p(X1)
          & ~ subq(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET010+0.ax',atleast3p_def) ).

fof(f26,conjecture,
    atleast3p(u(s(n(e)),a(p(s(s(n(e)))),n(s(n(e)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',atleast3_83) ).

fof(f27,negated_conjecture,
    ~ atleast3p(u(s(n(e)),a(p(s(s(n(e)))),n(s(n(e)))))),
    inference(negated_conjecture,[status(cth)],[f26]) ).

fof(f28,plain,
    ~ atleast3p(u(s(n(e)),a(p(s(s(n(e)))),n(s(n(e)))))),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0] :
      ( ? [X1] :
          ( subq(X1,X0)
          & atleast2p(X1)
          & ~ subq(X0,X1) )
     => atleast3p(X0) ),
    inference(unused_predicate_definition_removal,[],[f12]) ).

fof(f30,plain,
    ! [X0] :
      ( ? [X1] :
          ( mem(X1,X0)
          & ~ subq(X0,p(X1)) )
     => atleast2p(X0) ),
    inference(unused_predicate_definition_removal,[],[f11]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( subq(X0,X1)
    <=> ! [X2] :
          ( mem(X2,X1)
          | ~ mem(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ subq(X1,X0)
      | ~ subq(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ subq(X1,X0)
      | ~ subq(X0,X1) ),
    inference(flattening,[],[f32]) ).

fof(f34,plain,
    ! [X0] :
      ( atleast2p(X0)
      | ! [X1] :
          ( ~ mem(X1,X0)
          | subq(X0,p(X1)) ) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f35,plain,
    ! [X0] :
      ( atleast3p(X0)
      | ! [X1] :
          ( ~ subq(X1,X0)
          | ~ atleast2p(X1)
          | subq(X0,X1) ) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f36,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,[],[f31]) ).

fof(f37,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,[],[f36]) ).

fof(f38,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))],[f37]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( ( mem(X0,s(X1))
        | X0 != X1 )
      & ( X0 = X1
        | ~ mem(X0,s(X1)) ) ),
    inference(nnf_transformation,[],[f5]) ).

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(nnf_transformation,[],[f6]) ).

fof(f41,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,[],[f40]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ( mem(X0,p(X1))
        | ~ subq(X0,X1) )
      & ( subq(X0,X1)
        | ~ mem(X0,p(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f45,plain,
    ! [X3,X0,X1] :
      ( ~ mem(X3,X0)
      | mem(X3,X1)
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( mem(sK0(X0,X1),X0)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ mem(sK0(X0,X1),X1)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ subq(X1,X0)
      | X0 = X1
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

fof(f49,plain,
    ! [X0] : ~ mem(X0,e),
    inference(cnf_transformation,[],[f4]) ).

fof(f50,plain,
    ! [X0,X1] :
      ( ~ mem(X0,s(X1))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( mem(X0,s(X1))
      | X0 != X1 ),
    inference(cnf_transformation,[],[f39]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ~ mem(X0,u(X1,X2))
      | mem(X0,X2)
      | mem(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( mem(X0,u(X1,X2))
      | ~ mem(X0,X2) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f54,plain,
    ! [X2,X0,X1] :
      ( mem(X0,u(X1,X2))
      | ~ mem(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f58,plain,
    ! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
    inference(cnf_transformation,[],[f8]) ).

fof(f59,plain,
    ! [X0] : n(X0) = a(X0,X0),
    inference(cnf_transformation,[],[f9]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ~ mem(X0,p(X1))
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( mem(X0,p(X1))
      | ~ subq(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ mem(X1,X0)
      | atleast2p(X0)
      | subq(X0,p(X1)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ subq(X1,X0)
      | atleast3p(X0)
      | ~ atleast2p(X1)
      | subq(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f64,plain,
    ~ atleast3p(u(s(n(e)),a(p(s(s(n(e)))),n(s(n(e)))))),
    inference(cnf_transformation,[],[f28]) ).

fof(f65,plain,
    ! [X0] : n(X0) = u(X0,s(X0)),
    inference(definition_unfolding,[],[f59,f58]) ).

fof(f66,plain,
    ~ atleast3p(u(s(u(e,s(e))),u(p(s(s(u(e,s(e))))),s(u(s(u(e,s(e))),s(s(u(e,s(e))))))))),
    inference(definition_unfolding,[],[f64,f65,f58,f65,f65,f65]) ).

fof(f67,plain,
    ! [X1] : mem(X1,s(X1)),
    inference(equality_resolution,[],[f51]) ).

fof(f68,definition,
    sF1 = s(e),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f69,plain,
    s(e) = sF1,
    inference(reorient_equations,[],[f68]) ).

fof(f70,definition,
    sF2 = u(e,sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f71,plain,
    u(e,sF1) = sF2,
    inference(reorient_equations,[],[f70]) ).

fof(f72,definition,
    sF3 = s(sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f73,plain,
    s(sF2) = sF3,
    inference(reorient_equations,[],[f72]) ).

fof(f74,definition,
    sF4 = s(sF3),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f75,plain,
    s(sF3) = sF4,
    inference(reorient_equations,[],[f74]) ).

fof(f76,definition,
    sF5 = p(sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f77,plain,
    p(sF4) = sF5,
    inference(reorient_equations,[],[f76]) ).

fof(f78,definition,
    sF6 = u(sF3,sF4),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f79,plain,
    u(sF3,sF4) = sF6,
    inference(reorient_equations,[],[f78]) ).

fof(f80,definition,
    sF7 = s(sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f81,plain,
    s(sF6) = sF7,
    inference(reorient_equations,[],[f80]) ).

fof(f82,definition,
    sF8 = u(sF5,sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f83,plain,
    u(sF5,sF7) = sF8,
    inference(reorient_equations,[],[f82]) ).

fof(f84,definition,
    sF9 = u(sF3,sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f85,plain,
    u(sF3,sF8) = sF9,
    inference(reorient_equations,[],[f84]) ).

fof(f86,plain,
    ~ atleast3p(sF9),
    inference(definition_folding,[],[f66,f85,f83,f81,f79,f75,f73,f71,f69,f73,f71,f69,f77,f75,f73,f71,f69,f73,f71,f69]) ).

fof(f87,plain,
    mem(e,sF1),
    inference(superposition,[],[f67,f69]) ).

fof(f88,plain,
    mem(sF2,sF3),
    inference(superposition,[],[f67,f73]) ).

fof(f89,plain,
    mem(sF3,sF4),
    inference(superposition,[],[f67,f75]) ).

fof(f90,plain,
    mem(sF6,sF7),
    inference(superposition,[],[f67,f81]) ).

fof(f92,plain,
    ! [X0] :
      ( ~ mem(X0,sF1)
      | e = X0 ),
    inference(superposition,[],[f50,f69]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ mem(X0,sF4)
      | sF3 = X0 ),
    inference(superposition,[],[f50,f75]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ mem(X0,sF7)
      | sF6 = X0 ),
    inference(superposition,[],[f50,f81]) ).

fof(f96,plain,
    ! [X0] :
      ( ~ mem(X0,sF5)
      | subq(X0,sF4) ),
    inference(superposition,[],[f60,f77]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ subq(X0,sF4)
      | mem(X0,sF5) ),
    inference(superposition,[],[f61,f77]) ).

fof(f106,plain,
    ! [X0] :
      ( subq(X0,X0)
      | subq(X0,X0) ),
    inference(resolution,[],[f47,f46]) ).

fof(f108,plain,
    ! [X0] : subq(X0,X0),
    inference(duplicate_literal_removal,[],[f106]) ).

fof(f109,plain,
    ! [X2,X0,X1] :
      ( ~ mem(sK0(X0,u(X1,X2)),X2)
      | subq(X0,u(X1,X2)) ),
    inference(resolution,[],[f53,f47]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ mem(X0,sF4)
      | mem(X0,sF6) ),
    inference(superposition,[],[f53,f79]) ).

fof(f116,plain,
    ! [X2,X0,X1] :
      ( ~ mem(sK0(X0,u(X1,X2)),X1)
      | subq(X0,u(X1,X2)) ),
    inference(resolution,[],[f54,f47]) ).

fof(f119,plain,
    ! [X0] :
      ( ~ mem(X0,sF3)
      | mem(X0,sF9) ),
    inference(superposition,[],[f54,f85]) ).

fof(f120,plain,
    ! [X0] :
      ( ~ mem(X0,sF5)
      | mem(X0,sF8) ),
    inference(superposition,[],[f54,f83]) ).

fof(f127,plain,
    mem(sF4,sF5),
    inference(resolution,[],[f99,f108]) ).

fof(f132,plain,
    ! [X0] :
      ( ~ subq(sF1,X0)
      | mem(e,X0) ),
    inference(resolution,[],[f45,f87]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ subq(sF3,X0)
      | mem(sF2,X0) ),
    inference(resolution,[],[f45,f88]) ).

fof(f136,plain,
    ! [X0] :
      ( ~ subq(sF7,X0)
      | mem(sF6,X0) ),
    inference(resolution,[],[f45,f90]) ).

fof(f213,plain,
    ! [X0] :
      ( ~ mem(X0,sF2)
      | mem(X0,sF1)
      | mem(X0,e) ),
    inference(superposition,[],[f52,f71]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ mem(X0,sF8)
      | mem(X0,sF7)
      | mem(X0,sF5) ),
    inference(superposition,[],[f52,f83]) ).

fof(f217,plain,
    ! [X0] :
      ( ~ mem(X0,sF2)
      | mem(X0,sF1) ),
    inference(forward_subsumption_resolution,[],[f213,f49]) ).

fof(f253,plain,
    mem(sF3,sF6),
    inference(resolution,[],[f111,f89]) ).

fof(f294,definition,
    ( spl10_24
  <=> atleast2p(sF8) ),
    introduced(definition,[new_symbols(definition,[spl10_24])],[avatar_definition]) ).

fof(f295,plain,
    ( ~ atleast2p(sF8)
    | spl10_24 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f296,plain,
    ( atleast2p(sF8)
    | ~ spl10_24 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f299,plain,
    mem(sF2,sF9),
    inference(resolution,[],[f119,f88]) ).

fof(f309,plain,
    mem(sF4,sF8),
    inference(resolution,[],[f120,f127]) ).

fof(f311,plain,
    ! [X0] :
      ( mem(sK0(sF2,X0),sF1)
      | subq(sF2,X0) ),
    inference(resolution,[],[f217,f46]) ).

fof(f379,plain,
    ( atleast2p(sF8)
    | subq(sF8,p(sF4)) ),
    inference(resolution,[],[f309,f62]) ).

fof(f511,plain,
    ! [X0,X1] :
      ( subq(X0,u(X1,X0))
      | subq(X0,u(X1,X0)) ),
    inference(resolution,[],[f109,f46]) ).

fof(f522,plain,
    ! [X0,X1] : subq(X0,u(X1,X0)),
    inference(duplicate_literal_removal,[],[f511]) ).

fof(f523,plain,
    ! [X0,X1] :
      ( subq(X0,u(X0,X1))
      | subq(X0,u(X0,X1)) ),
    inference(resolution,[],[f116,f46]) ).

fof(f534,plain,
    ! [X0,X1] : subq(X0,u(X0,X1)),
    inference(duplicate_literal_removal,[],[f523]) ).

fof(f771,plain,
    subq(sF1,sF2),
    inference(superposition,[],[f522,f71]) ).

fof(f772,plain,
    subq(sF4,sF6),
    inference(superposition,[],[f522,f79]) ).

fof(f773,plain,
    subq(sF8,sF9),
    inference(superposition,[],[f522,f85]) ).

fof(f774,plain,
    subq(sF7,sF8),
    inference(superposition,[],[f522,f83]) ).

fof(f777,plain,
    ( sF1 = sF2
    | ~ subq(sF2,sF1) ),
    inference(resolution,[],[f771,f48]) ).

fof(f779,definition,
    ( spl10_47
  <=> subq(sF2,sF1) ),
    introduced(definition,[new_symbols(definition,[spl10_47])],[avatar_definition]) ).

fof(f781,plain,
    ( ~ subq(sF2,sF1)
    | spl10_47 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f783,definition,
    ( spl10_48
  <=> sF1 = sF2 ),
    introduced(definition,[new_symbols(definition,[spl10_48])],[avatar_definition]) ).

fof(f785,plain,
    ( sF1 = sF2
    | ~ spl10_48 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f786,plain,
    ( ~ spl10_47
    | spl10_48 ),
    inference(avatar_split_clause,[],[f777,f783,f779]) ).

fof(f804,plain,
    ( sF4 = sF6
    | ~ subq(sF6,sF4) ),
    inference(resolution,[],[f772,f48]) ).

fof(f806,definition,
    ( spl10_52
  <=> subq(sF6,sF4) ),
    introduced(definition,[new_symbols(definition,[spl10_52])],[avatar_definition]) ).

fof(f808,plain,
    ( ~ subq(sF6,sF4)
    | spl10_52 ),
    inference(avatar_component_clause,[],[f806]) ).

fof(f810,definition,
    ( spl10_53
  <=> sF4 = sF6 ),
    introduced(definition,[new_symbols(definition,[spl10_53])],[avatar_definition]) ).

fof(f812,plain,
    ( sF4 = sF6
    | ~ spl10_53 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f813,plain,
    ( ~ spl10_52
    | spl10_53 ),
    inference(avatar_split_clause,[],[f804,f810,f806]) ).

fof(f831,plain,
    ( atleast3p(sF9)
    | ~ atleast2p(sF8)
    | subq(sF9,sF8) ),
    inference(resolution,[],[f773,f63]) ).

fof(f832,plain,
    ( sF8 = sF9
    | ~ subq(sF9,sF8) ),
    inference(resolution,[],[f773,f48]) ).

fof(f834,definition,
    ( spl10_57
  <=> subq(sF9,sF8) ),
    introduced(definition,[new_symbols(definition,[spl10_57])],[avatar_definition]) ).

fof(f838,definition,
    ( spl10_58
  <=> sF8 = sF9 ),
    introduced(definition,[new_symbols(definition,[spl10_58])],[avatar_definition]) ).

fof(f840,plain,
    ( sF8 = sF9
    | ~ spl10_58 ),
    inference(avatar_component_clause,[],[f838]) ).

fof(f841,plain,
    ( ~ spl10_57
    | spl10_58 ),
    inference(avatar_split_clause,[],[f832,f838,f834]) ).

fof(f842,plain,
    ( ~ atleast2p(sF8)
    | subq(sF9,sF8) ),
    inference(forward_subsumption_resolution,[],[f831,f86]) ).

fof(f852,plain,
    ( subq(sF9,sF8)
    | ~ spl10_24 ),
    inference(forward_subsumption_resolution,[],[f842,f296]) ).

fof(f853,plain,
    ( spl10_57
    | ~ spl10_24 ),
    inference(avatar_split_clause,[],[f852,f294,f834]) ).

fof(f854,plain,
    ( subq(sF8,p(sF4))
    | spl10_24 ),
    inference(forward_subsumption_resolution,[],[f379,f295]) ).

fof(f855,plain,
    ( subq(sF8,sF5)
    | spl10_24 ),
    inference(forward_demodulation,[],[f854,f77]) ).

fof(f919,plain,
    subq(sF3,sF6),
    inference(superposition,[],[f534,f79]) ).

fof(f921,plain,
    subq(sF5,sF8),
    inference(superposition,[],[f534,f83]) ).

fof(f956,definition,
    ( spl10_74
  <=> subq(sF7,sF5) ),
    introduced(definition,[new_symbols(definition,[spl10_74])],[avatar_definition]) ).

fof(f957,plain,
    ( subq(sF7,sF5)
    | ~ spl10_74 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f991,plain,
    ( sF5 = sF8
    | ~ subq(sF8,sF5) ),
    inference(resolution,[],[f921,f48]) ).

fof(f992,plain,
    ( sF5 = sF8
    | spl10_24 ),
    inference(forward_subsumption_resolution,[],[f991,f855]) ).

fof(f1090,definition,
    ( spl10_82
  <=> mem(sF1,sF5) ),
    introduced(definition,[new_symbols(definition,[spl10_82])],[avatar_definition]) ).

fof(f1091,plain,
    ( ~ mem(sF1,sF5)
    | spl10_82 ),
    inference(avatar_component_clause,[],[f1090]) ).

fof(f1092,plain,
    ( mem(sF1,sF5)
    | ~ spl10_82 ),
    inference(avatar_component_clause,[],[f1090]) ).

fof(f1099,plain,
    ( subq(sF1,sF4)
    | ~ spl10_82 ),
    inference(resolution,[],[f1092,f96]) ).

fof(f1114,definition,
    ( spl10_84
  <=> e = sF3 ),
    introduced(definition,[new_symbols(definition,[spl10_84])],[avatar_definition]) ).

fof(f1115,plain,
    ( e != sF3
    | spl10_84 ),
    inference(avatar_component_clause,[],[f1114]) ).

fof(f1116,plain,
    ( e = sF3
    | ~ spl10_84 ),
    inference(avatar_component_clause,[],[f1114]) ).

fof(f1127,definition,
    ( spl10_87
  <=> mem(sF3,sF5) ),
    introduced(definition,[new_symbols(definition,[spl10_87])],[avatar_definition]) ).

fof(f1128,plain,
    ( ~ mem(sF3,sF5)
    | spl10_87 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f1129,plain,
    ( mem(sF3,sF5)
    | ~ spl10_87 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f1136,plain,
    ( subq(sF3,sF4)
    | ~ spl10_87 ),
    inference(resolution,[],[f1129,f96]) ).

fof(f1172,plain,
    ( subq(sF7,sF5)
    | spl10_24 ),
    inference(superposition,[],[f774,f992]) ).

fof(f1181,plain,
    ( spl10_74
    | spl10_24 ),
    inference(avatar_split_clause,[],[f1172,f294,f956]) ).

fof(f1309,plain,
    ( mem(sF2,sF8)
    | ~ spl10_58 ),
    inference(superposition,[],[f299,f840]) ).

fof(f1370,plain,
    ( mem(e,sF4)
    | ~ spl10_82 ),
    inference(resolution,[],[f1099,f132]) ).

fof(f1380,definition,
    ( spl10_102
  <=> sF1 = sF4 ),
    introduced(definition,[new_symbols(definition,[spl10_102])],[avatar_definition]) ).

fof(f1382,plain,
    ( sF1 = sF4
    | ~ spl10_102 ),
    inference(avatar_component_clause,[],[f1380]) ).

fof(f1435,plain,
    ( mem(sF2,sF4)
    | ~ spl10_87 ),
    inference(resolution,[],[f1136,f134]) ).

fof(f1450,plain,
    ( subq(sF2,sF1)
    | subq(sF2,sF1) ),
    inference(resolution,[],[f311,f47]) ).

fof(f1464,plain,
    subq(sF2,sF1),
    inference(duplicate_literal_removal,[],[f1450]) ).

fof(f1466,plain,
    ( $false
    | spl10_47 ),
    inference(forward_subsumption_resolution,[],[f1464,f781]) ).

fof(f1467,plain,
    spl10_47,
    inference(avatar_contradiction_clause,[],[f1466]) ).

fof(f1477,plain,
    ( sF3 = s(sF1)
    | ~ spl10_48 ),
    inference(superposition,[],[f73,f785]) ).

fof(f1581,plain,
    ( mem(sF2,sF7)
    | mem(sF2,sF5)
    | ~ spl10_58 ),
    inference(resolution,[],[f1309,f216]) ).

fof(f1593,plain,
    ( mem(sF1,sF7)
    | mem(sF2,sF5)
    | ~ spl10_48
    | ~ spl10_58 ),
    inference(forward_demodulation,[],[f1581,f785]) ).

fof(f1595,plain,
    ( mem(sF1,sF5)
    | mem(sF1,sF7)
    | ~ spl10_48
    | ~ spl10_58 ),
    inference(forward_demodulation,[],[f1593,f785]) ).

fof(f1641,plain,
    ( e = sF3
    | ~ spl10_82 ),
    inference(resolution,[],[f1370,f94]) ).

fof(f1648,plain,
    ( spl10_84
    | ~ spl10_82 ),
    inference(avatar_split_clause,[],[f1641,f1090,f1114]) ).

fof(f1649,plain,
    ( mem(sF1,sF7)
    | ~ spl10_48
    | ~ spl10_58
    | spl10_82 ),
    inference(forward_subsumption_resolution,[],[f1595,f1091]) ).

fof(f1698,plain,
    ( sF2 = sF3
    | ~ spl10_87 ),
    inference(resolution,[],[f1435,f94]) ).

fof(f1710,plain,
    ( sF1 = sF3
    | ~ spl10_48
    | ~ spl10_87 ),
    inference(forward_demodulation,[],[f1698,f785]) ).

fof(f1938,plain,
    ( sF1 = sF6
    | ~ spl10_48
    | ~ spl10_58
    | spl10_82 ),
    inference(resolution,[],[f1649,f95]) ).

fof(f1974,plain,
    ( sF4 = s(sF1)
    | ~ spl10_48
    | ~ spl10_87 ),
    inference(superposition,[],[f75,f1710]) ).

fof(f2027,plain,
    ( sF3 = sF4
    | ~ spl10_48
    | ~ spl10_87 ),
    inference(forward_demodulation,[],[f1974,f1477]) ).

fof(f2032,plain,
    ( sF1 = sF4
    | ~ spl10_48
    | ~ spl10_87 ),
    inference(forward_demodulation,[],[f2027,f1710]) ).

fof(f2033,plain,
    ( spl10_102
    | ~ spl10_48
    | ~ spl10_87 ),
    inference(avatar_split_clause,[],[f2032,f1127,f783,f1380]) ).

fof(f2113,plain,
    ( ! [X0] : ~ mem(X0,sF3)
    | ~ spl10_84 ),
    inference(superposition,[],[f49,f1116]) ).

fof(f2309,plain,
    ( $false
    | ~ spl10_84 ),
    inference(resolution,[],[f2113,f88]) ).

fof(f2310,plain,
    ~ spl10_84,
    inference(avatar_contradiction_clause,[],[f2309]) ).

fof(f2521,plain,
    ( mem(sF1,sF5)
    | ~ spl10_102 ),
    inference(superposition,[],[f127,f1382]) ).

fof(f2550,plain,
    ( $false
    | spl10_82
    | ~ spl10_102 ),
    inference(forward_subsumption_resolution,[],[f2521,f1091]) ).

fof(f2551,plain,
    ( spl10_82
    | ~ spl10_102 ),
    inference(avatar_contradiction_clause,[],[f2550]) ).

fof(f2672,plain,
    ( mem(sF3,sF1)
    | ~ spl10_48
    | ~ spl10_58
    | spl10_82 ),
    inference(superposition,[],[f253,f1938]) ).

fof(f2960,plain,
    ( mem(sF6,sF5)
    | ~ spl10_74 ),
    inference(resolution,[],[f957,f136]) ).

fof(f3241,plain,
    ( subq(sF6,sF4)
    | ~ spl10_74 ),
    inference(resolution,[],[f2960,f96]) ).

fof(f3248,plain,
    ( $false
    | spl10_52
    | ~ spl10_74 ),
    inference(forward_subsumption_resolution,[],[f3241,f808]) ).

fof(f3249,plain,
    ( spl10_52
    | ~ spl10_74 ),
    inference(avatar_contradiction_clause,[],[f3248]) ).

fof(f7105,plain,
    ( subq(sF3,sF4)
    | ~ spl10_53 ),
    inference(superposition,[],[f919,f812]) ).

fof(f8579,plain,
    ( mem(sF3,sF5)
    | ~ spl10_53 ),
    inference(resolution,[],[f7105,f99]) ).

fof(f8589,plain,
    ( $false
    | ~ spl10_53
    | spl10_87 ),
    inference(forward_subsumption_resolution,[],[f8579,f1128]) ).

fof(f8590,plain,
    ( ~ spl10_53
    | spl10_87 ),
    inference(avatar_contradiction_clause,[],[f8589]) ).

fof(f11364,plain,
    ( e = sF3
    | ~ spl10_48
    | ~ spl10_58
    | spl10_82 ),
    inference(resolution,[],[f2672,f92]) ).

fof(f11370,plain,
    ( $false
    | ~ spl10_48
    | ~ spl10_58
    | spl10_82
    | spl10_84 ),
    inference(forward_subsumption_resolution,[],[f11364,f1115]) ).

fof(f11371,plain,
    ( ~ spl10_48
    | ~ spl10_58
    | spl10_82
    | spl10_84 ),
    inference(avatar_contradiction_clause,[],[f11370]) ).

cnf(s30,plain,
    ( ~ spl10_47
    | spl10_48 ),
    inference(sat_conversion,[],[f786]) ).

cnf(s33,plain,
    ( ~ spl10_52
    | spl10_53 ),
    inference(sat_conversion,[],[f813]) ).

cnf(s36,plain,
    ( ~ spl10_57
    | spl10_58 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s38,plain,
    ( ~ spl10_24
    | spl10_57 ),
    inference(sat_conversion,[],[f853]) ).

cnf(s59,plain,
    ( spl10_24
    | spl10_74 ),
    inference(sat_conversion,[],[f1181]) ).

cnf(s70,plain,
    spl10_47,
    inference(sat_conversion,[],[f1467]) ).

cnf(s74,plain,
    ( ~ spl10_82
    | spl10_84 ),
    inference(sat_conversion,[],[f1648]) ).

cnf(s77,plain,
    ( ~ spl10_48
    | ~ spl10_87
    | spl10_102 ),
    inference(sat_conversion,[],[f2033]) ).

cnf(s94,plain,
    ~ spl10_84,
    inference(sat_conversion,[],[f2310]) ).

cnf(s102,plain,
    ( spl10_82
    | ~ spl10_102 ),
    inference(sat_conversion,[],[f2551]) ).

cnf(s119,plain,
    ( spl10_52
    | ~ spl10_74 ),
    inference(sat_conversion,[],[f3249]) ).

cnf(s232,plain,
    ( ~ spl10_53
    | spl10_87 ),
    inference(sat_conversion,[],[f8590]) ).

cnf(s250,plain,
    ( ~ spl10_48
    | ~ spl10_58
    | spl10_82
    | spl10_84 ),
    inference(sat_conversion,[],[f11371]) ).

cnf(s253,plain,
    ~ spl10_82,
    inference(rat,[],[s74,s94]) ).

cnf(s254,plain,
    ~ spl10_102,
    inference(rat,[],[s102,s253]) ).

cnf(s257,plain,
    spl10_48,
    inference(rat,[],[s30,s70]) ).

cnf(s258,plain,
    ~ spl10_58,
    inference(rat,[],[s250,s94,s253,s257]) ).

cnf(s260,plain,
    ~ spl10_87,
    inference(rat,[],[s77,s254,s257]) ).

cnf(s261,plain,
    ~ spl10_57,
    inference(rat,[],[s36,s258]) ).

cnf(s263,plain,
    ~ spl10_53,
    inference(rat,[],[s232,s260]) ).

cnf(s265,plain,
    ~ spl10_24,
    inference(rat,[],[s38,s261]) ).

cnf(s266,plain,
    ~ spl10_52,
    inference(rat,[],[s33,s263]) ).

cnf(s269,plain,
    spl10_74,
    inference(rat,[],[s59,s265]) ).

cnf(s270,plain,
    $false,
    inference(rat,[],[s119,s269,s266]) ).

fof(f11374,plain,
    $false,
    inference(avatar_sat_refutation,[],[s270]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEV540+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.04  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.34  % Computer : n012.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Mon Sep 28 06:31:19 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.07/0.35  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.37  Running first-order model finding
% 0.07/0.37  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
% 3.47/1.02  % (3177988)Will run a generic schedule for satisfiability detection.
% 3.47/1.02  % (3177994)% WARNING: option uhcvi not known.
% 3.47/1.02  % (3177999)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3143652173:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 3.47/1.02  % (3177993)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=674636071_3000 on theBenchmark for (3000ds/0Mi)
% 3.47/1.02  % (3177995)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2590456462:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 3.47/1.02  % (3177998)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1897273141:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 3.47/1.02  % (3177997)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=649785366:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 3.47/1.02  % (3177996)dis+10_1_sil=32000:sp=arity:random_seed=3155242344:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 3.47/1.02  % (3177994)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=36170894:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 3.47/1.02  % TRYING [1]
% 3.47/1.02  % TRYING [2]
% 3.47/1.02  % TRYING [3]
% 3.47/1.02  % TRYING [4]
% 3.47/1.02  % TRYING [5]
% 3.47/1.02  % TRYING [6]
% 3.47/1.02  % TRYING [7]
% 3.47/1.02  % TRYING [8]
% 3.47/1.02  % (3177996)Instruction limit reached! 
% 3.47/1.02  % (3177996)------------------------------
% 3.47/1.02  % (3177996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/1.02  % (3177996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.02  % (3177996)CaDiCaL version: 2.1.3
% 3.47/1.02  % (3177996)Termination reason: Instruction limit
% 3.47/1.02  % (3177996)Termination phase: Saturation
% 3.47/1.02  % (3177996)Time elapsed: 0.054 s
% 3.47/1.02  % (3177996)Peak memory usage: 12 MB
% 3.47/1.02  % (3177996)Instructions burned: 103 (million)
% 3.47/1.02  % (3177997)Instruction limit reached! 
% 3.47/1.02  % (3177997)------------------------------
% 3.47/1.02  % (3177997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/1.02  % (3177997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.02  % (3177997)CaDiCaL version: 2.1.3
% 3.47/1.02  % (3177997)Termination reason: Instruction limit
% 3.47/1.02  % (3177997)Termination phase: Saturation
% 3.47/1.02  % (3177997)Time elapsed: 0.059 s
% 3.47/1.02  % (3177997)Peak memory usage: 12 MB
% 3.47/1.02  % (3177997)Instructions burned: 116 (million)
% 3.47/1.02  % (3177999)Instruction limit reached! 
% 3.47/1.02  % (3177999)------------------------------
% 3.47/1.02  % (3177999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/1.02  % (3177999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.02  % (3177999)CaDiCaL version: 2.1.3
% 3.47/1.02  % (3177999)Termination reason: Instruction limit
% 3.47/1.02  % (3177999)Termination phase: Saturation
% 3.47/1.02  % (3177999)Time elapsed: 0.070 s
% 3.47/1.02  % (3177999)Peak memory usage: 12 MB
% 3.47/1.02  % (3177999)Instructions burned: 159 (million)
% 3.47/1.02  % (3177998)Instruction limit reached! 
% 3.47/1.02  % (3177998)------------------------------
% 3.47/1.02  % (3177998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/1.02  % (3177998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.02  % (3177998)CaDiCaL version: 2.1.3
% 3.47/1.02  % (3177998)Termination reason: Instruction limit
% 3.47/1.02  % (3177998)Termination phase: Saturation
% 3.47/1.02  % (3177998)Time elapsed: 0.069 s
% 3.47/1.02  % (3177998)Peak memory usage: 13 MB
% 3.47/1.02  % (3177998)Instructions burned: 132 (million)
% 3.47/1.02  % (3178008)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=195752086:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.47/1.02  % (3178007)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3016719466:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.47/1.02  % TRYING [1]
% 3.47/1.02  % TRYING [2]
% 3.47/1.02  % TRYING [3]
% 3.47/1.02  % TRYING [4]
% 3.47/1.02  % (3178010)ott-21_1_sil=16000:fs=off:random_seed=1391400536:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.02  % TRYING [5]
% 3.47/1.02  % (3178009)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=3054340340:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.47/1.02  % TRYING [6]
% 3.47/1.02  % TRYING [7]
% 3.47/1.02  % TRYING [9]
% 3.47/1.02  % (3178010)Instruction limit reached! 
% 3.47/1.02  % (3178010)------------------------------
% 3.47/1.02  % (3178010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/1.02  % (3178010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.02  % (3178010)CaDiCaL version: 2.1.3
% 3.47/1.02  % (3178010)Termination reason: Instruction limit
% 3.47/1.02  % (3178010)Termination phase: Saturation
% 3.47/1.02  % (3178010)Time elapsed: 0.061 s
% 3.47/1.02  % (3178010)Peak memory usage: 13 MB
% 3.47/1.02  % (3178010)Instructions burned: 180 (million)
% 3.47/1.02  % (3178008)Instruction limit reached! 
% 3.47/1.02  % (3178008)------------------------------
% 3.47/1.02  % (3178008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/1.02  % (3178008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.02  % (3178008)CaDiCaL version: 2.1.3
% 3.47/1.02  % (3178008)Termination reason: Instruction limit
% 3.47/1.02  % (3178008)Termination phase: Saturation
% 3.47/1.02  % (3178008)Time elapsed: 0.073 s
% 3.47/1.02  % (3178008)Peak memory usage: 13 MB
% 3.47/1.02  % (3178008)Instructions burned: 132 (million)
% 3.47/1.02  % (3178015)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3006611028:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 3.47/1.02  % TRYING [8]
% 3.47/1.02  % (3178016)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1611387421:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 3.47/1.02  % TRYING [1]
% 3.47/1.02  % TRYING [2]
% 3.47/1.02  % TRYING [3]
% 3.47/1.02  % TRYING [4]
% 3.47/1.02  % TRYING [5]
% 3.47/1.02  % TRYING [6]
% 3.47/1.02  % TRYING [7]
% 3.47/1.02  % TRYING [8]
% 3.47/1.02  % (3178007)Instruction limit reached! 
% 3.47/1.02  % (3178007)------------------------------
% 3.47/1.02  % (3178007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/1.02  % (3178007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.02  % (3178007)CaDiCaL version: 2.1.3
% 3.47/1.02  % (3178007)Termination reason: Instruction limit
% 3.47/1.02  % (3178007)Termination phase: Finite model building SAT solving
% 3.47/1.02  % (3178007)Time elapsed: 0.289 s
% 3.47/1.02  % (3178007)Peak memory usage: 18 MB
% 3.47/1.02  % (3178007)Instructions burned: 715 (million)
% 3.47/1.02  % (3178019)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2681322792:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 3.47/1.02  % (3178015)Instruction limit reached! 
% 3.47/1.02  % (3178015)------------------------------
% 3.47/1.02  % (3178015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/1.02  % (3178015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.02  % (3178015)CaDiCaL version: 2.1.3
% 3.47/1.02  % (3178015)Termination reason: Instruction limit
% 3.47/1.02  % (3178015)Termination phase: Saturation
% 3.47/1.02  % (3178015)Time elapsed: 0.258 s
% 3.47/1.02  % (3178015)Peak memory usage: 14 MB
% 3.47/1.02  % (3178015)Instructions burned: 478 (million)
% 3.47/1.02  % TRYING [10]
% 3.47/1.02  % (3178021)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3762408465:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 3.47/1.02  % TRYING [14]
% 3.47/1.02  % (3178009)Instruction limit reached! 
% 3.47/1.02  % (3178009)------------------------------
% 3.47/1.02  % (3178009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/1.02  % (3178009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.02  % (3178009)CaDiCaL version: 2.1.3
% 3.47/1.02  % (3178009)Termination reason: Instruction limit
% 3.47/1.02  % (3178009)Termination phase: Saturation
% 3.47/1.02  % (3178009)Time elapsed: 0.358 s
% 3.47/1.02  % (3178009)Peak memory usage: 18 MB
% 3.47/1.02  % (3178009)Instructions burned: 685 (million)
% 3.47/1.02  % (3178023)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=1745441721:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 3.47/1.02  % (3178016)Instruction limit reached! 
% 3.47/1.02  % (3178016)------------------------------
% 3.47/1.02  % (3178016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/1.02  % (3178016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.02  % (3178016)CaDiCaL version: 2.1.3
% 3.47/1.02  % (3178016)Termination reason: Instruction limit
% 3.47/1.02  % (3178016)Termination phase: Finite model building SAT solving
% 3.47/1.02  % (3178016)Time elapsed: 0.302 s
% 3.47/1.02  % (3178016)Peak memory usage: 17 MB
% 3.47/1.02  % (3178016)Instructions burned: 866 (million)
% 3.47/1.02  % (3178025)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2770618870:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 3.47/1.02  % (3178019) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3177988-3178019"...
% 3.47/1.02  % (3178019)...printing done.
% 3.47/1.02  % (3178019)Refutation found. Thanks to Tanya!
% 3.47/1.02  % SZS status Theorem for theBenchmark
% 3.47/1.02  % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.02  % (3178019)------------------------------
% 3.47/1.02  % (3178019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.47/1.02  % (3178019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.02  % (3178019)CaDiCaL version: 2.1.3
% 3.47/1.02  % (3178019)Termination reason: Refutation
% 3.47/1.02  % (3178019)Time elapsed: 0.226 s
% 3.47/1.02  % (3178019)Peak memory usage: 16 MB
% 3.47/1.02  % (3178019)Instructions burned: 445 (million)
% 3.47/1.02  % (3177988)Success in time 0.639 s
% 3.47/1.02  % Vampire exiting
%------------------------------------------------------------------------------