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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SET690+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n018.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 12:44:26 PM UTC 2026

% Result   : Theorem 4.46s 1.08s
% Output   : Refutation 4.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  180 (  13 unt;  15 def)
%            Number of atoms       :  468 (   8 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  480 ( 192   ~; 236   |;  30   &)
%                                         (  20 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  12 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :  147 (   0 sgn 136   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X0)
         => member(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( equal_set(X0,X1)
    <=> ( subset(X0,X1)
        & subset(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( member(X0,power_set(X1))
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',power_set) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( member(X0,intersection(X1,X2))
    <=> ( member(X0,X1)
        & member(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',intersection) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( member(X0,union(X1,X2))
    <=> ( member(X0,X1)
        | member(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',union) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( member(X0,sum(X1))
    <=> ? [X2] :
          ( member(X2,X1)
          & member(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',sum) ).

fof(f12,conjecture,
    ! [X0,X1,X2] :
      ( equal_set(union(intersection(X0,X1),X2),intersection(X0,union(X1,X2)))
    <=> subset(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI12) ).

fof(f13,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( equal_set(union(intersection(X0,X1),X2),intersection(X0,union(X1,X2)))
      <=> subset(X2,X0) ),
    inference(negated_conjecture,[status(cth)],[f12]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( member(X2,X1)
          | ~ member(X2,X0) ) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f16,plain,
    ? [X0,X1,X2] :
      ( equal_set(union(intersection(X0,X1),X2),intersection(X0,union(X1,X2)))
    <~> subset(X2,X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X2] :
            ( member(X2,X1)
            | ~ member(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f18,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ member(X2,X1)
            & member(X2,X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f17]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ member(sK0(X0,X1),X1)
          & member(sK0(X0,X1),X0) ) )
      & ( ! [X3] :
            ( member(X3,X1)
            | ~ member(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f18]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ( equal_set(X0,X1)
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | ~ equal_set(X0,X1) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ( equal_set(X0,X1)
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | ~ equal_set(X0,X1) ) ),
    inference(flattening,[],[f20]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ( member(X0,power_set(X1))
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ~ member(X0,power_set(X1)) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,intersection(X1,X2))
        | ~ member(X0,X1)
        | ~ member(X0,X2) )
      & ( ( member(X0,X1)
          & member(X0,X2) )
        | ~ member(X0,intersection(X1,X2)) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,intersection(X1,X2))
        | ~ member(X0,X1)
        | ~ member(X0,X2) )
      & ( ( member(X0,X1)
          & member(X0,X2) )
        | ~ member(X0,intersection(X1,X2)) ) ),
    inference(flattening,[],[f23]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,union(X1,X2))
        | ( ~ member(X0,X1)
          & ~ member(X0,X2) ) )
      & ( member(X0,X1)
        | member(X0,X2)
        | ~ member(X0,union(X1,X2)) ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( ( member(X0,union(X1,X2))
        | ( ~ member(X0,X1)
          & ~ member(X0,X2) ) )
      & ( member(X0,X1)
        | member(X0,X2)
        | ~ member(X0,union(X1,X2)) ) ),
    inference(flattening,[],[f25]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X0,X2) ) )
      & ( ? [X2] :
            ( member(X2,X1)
            & member(X0,X2) )
        | ~ member(X0,sum(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

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

fof(f34,plain,
    ! [X0,X1] :
      ( ( member(X0,sum(X1))
        | ! [X2] :
            ( ~ member(X2,X1)
            | ~ member(X0,X2) ) )
      & ( ( member(sK1(X0,X1),X1)
          & member(X0,sK1(X0,X1)) )
        | ~ member(X0,sum(X1)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f33]) ).

fof(f38,plain,
    ? [X0,X1,X2] :
      ( ( ~ subset(X2,X0)
        | ~ equal_set(union(intersection(X0,X1),X2),intersection(X0,union(X1,X2))) )
      & ( subset(X2,X0)
        | equal_set(union(intersection(X0,X1),X2),intersection(X0,union(X1,X2))) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f39,plain,
    ( ( ~ subset(sK5,sK3)
      | ~ equal_set(union(intersection(sK3,sK4),sK5),intersection(sK3,union(sK4,sK5))) )
    & ( subset(sK5,sK3)
      | equal_set(union(intersection(sK3,sK4),sK5),intersection(sK3,union(sK4,sK5))) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5)],[f38]) ).

fof(f40,plain,
    ! [X3,X0,X1] :
      ( ~ member(X3,X0)
      | member(X3,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f41,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | member(sK0(X0,X1),X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f42,plain,
    ! [X0,X1] :
      ( ~ member(sK0(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ equal_set(X0,X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | ~ subset(X0,X1)
      | equal_set(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f46,plain,
    ! [X0,X1] :
      ( ~ member(X0,power_set(X1))
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | member(X0,power_set(X1)) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X2) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f49,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,intersection(X1,X2))
      | member(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( member(X0,intersection(X1,X2))
      | ~ member(X0,X1)
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f24]) ).

fof(f51,plain,
    ! [X2,X0,X1] :
      ( ~ member(X0,union(X1,X2))
      | member(X0,X2)
      | member(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( member(X0,union(X1,X2))
      | ~ member(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( member(X0,sK1(X0,X1))
      | ~ member(X0,sum(X1)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( member(sK1(X0,X1),X1)
      | ~ member(X0,sum(X1)) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f65,plain,
    ! [X2,X0,X1] :
      ( ~ member(X2,X1)
      | member(X0,sum(X1))
      | ~ member(X0,X2) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f69,plain,
    ( subset(sK5,sK3)
    | equal_set(union(intersection(sK3,sK4),sK5),intersection(sK3,union(sK4,sK5))) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f70,plain,
    ( ~ subset(sK5,sK3)
    | ~ equal_set(union(intersection(sK3,sK4),sK5),intersection(sK3,union(sK4,sK5))) ),
    inference(cnf_transformation,[],[f39]) ).

fof(f74,definition,
    sF6 = intersection(sK3,sK4),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f75,plain,
    intersection(sK3,sK4) = sF6,
    inference(reorient_equations,[],[f74]) ).

fof(f76,definition,
    sF7 = union(sF6,sK5),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f77,plain,
    union(sF6,sK5) = sF7,
    inference(reorient_equations,[],[f76]) ).

fof(f78,definition,
    sF8 = union(sK4,sK5),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f79,plain,
    union(sK4,sK5) = sF8,
    inference(reorient_equations,[],[f78]) ).

fof(f80,definition,
    sF9 = intersection(sK3,sF8),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f81,plain,
    intersection(sK3,sF8) = sF9,
    inference(reorient_equations,[],[f80]) ).

fof(f82,plain,
    ( ~ subset(sK5,sK3)
    | ~ equal_set(sF7,sF9) ),
    inference(definition_folding,[],[f70,f81,f79,f77,f75]) ).

fof(f83,plain,
    ( subset(sK5,sK3)
    | equal_set(sF7,sF9) ),
    inference(definition_folding,[],[f69,f81,f79,f77,f75]) ).

fof(f85,definition,
    ( spl10_1
  <=> equal_set(sF7,sF9) ),
    introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).

fof(f86,plain,
    ( ~ equal_set(sF7,sF9)
    | spl10_1 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f87,plain,
    ( equal_set(sF7,sF9)
    | ~ spl10_1 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f89,definition,
    ( spl10_2
  <=> subset(sK5,sK3) ),
    introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).

fof(f90,plain,
    ( ~ subset(sK5,sK3)
    | spl10_2 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f91,plain,
    ( subset(sK5,sK3)
    | ~ spl10_2 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f92,plain,
    ( spl10_1
    | spl10_2 ),
    inference(avatar_split_clause,[],[f83,f89,f85]) ).

fof(f93,plain,
    ( ~ spl10_1
    | ~ spl10_2 ),
    inference(avatar_split_clause,[],[f82,f89,f85]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( member(sK0(X0,X1),X0)
      | member(X0,power_set(X1)) ),
    inference(resolution,[],[f41,f47]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ member(X0,sF6)
      | member(X0,sK4) ),
    inference(superposition,[],[f48,f75]) ).

fof(f99,plain,
    ! [X0] :
      ( ~ member(X0,sF9)
      | member(X0,sF8) ),
    inference(superposition,[],[f48,f81]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ member(X0,sF6)
      | member(X0,sK3) ),
    inference(superposition,[],[f49,f75]) ).

fof(f101,plain,
    ! [X0] :
      ( ~ member(X0,sF9)
      | member(X0,sK3) ),
    inference(superposition,[],[f49,f81]) ).

fof(f102,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK0(X0,union(X1,X2)),X2)
      | subset(X0,union(X1,X2)) ),
    inference(resolution,[],[f52,f42]) ).

fof(f103,plain,
    ! [X0] :
      ( ~ member(X0,sK5)
      | member(X0,sF7) ),
    inference(superposition,[],[f52,f77]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ member(X0,sK5)
      | member(X0,sF8) ),
    inference(superposition,[],[f52,f79]) ).

fof(f105,plain,
    ! [X2,X0,X1] :
      ( ~ member(sK0(X0,union(X1,X2)),X1)
      | subset(X0,union(X1,X2)) ),
    inference(resolution,[],[f53,f42]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ member(X0,sK4)
      | member(X0,sF8) ),
    inference(superposition,[],[f53,f79]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | equal_set(X0,X1)
      | member(sK0(X1,X0),X1) ),
    inference(resolution,[],[f45,f41]) ).

fof(f127,plain,
    ! [X2,X0,X1] :
      ( ~ subset(sK1(X0,X1),X2)
      | member(X0,X2)
      | ~ member(X0,sum(X1)) ),
    inference(resolution,[],[f63,f40]) ).

fof(f130,plain,
    ! [X0,X1] :
      ( subset(sK1(X0,power_set(X1)),X1)
      | ~ member(X0,sum(power_set(X1))) ),
    inference(resolution,[],[f64,f46]) ).

fof(f180,plain,
    ( subset(sF7,sF9)
    | ~ spl10_1 ),
    inference(resolution,[],[f87,f44]) ).

fof(f182,plain,
    ( member(sK0(sK5,sK3),sK5)
    | spl10_2 ),
    inference(resolution,[],[f90,f41]) ).

fof(f206,plain,
    ! [X0] :
      ( ~ member(X0,sK4)
      | ~ member(X0,sK3)
      | member(X0,sF6) ),
    inference(superposition,[],[f50,f75]) ).

fof(f207,plain,
    ! [X0] :
      ( ~ member(X0,sF8)
      | ~ member(X0,sK3)
      | member(X0,sF9) ),
    inference(superposition,[],[f50,f81]) ).

fof(f215,plain,
    ! [X0] :
      ( ~ member(X0,sF7)
      | member(X0,sK5)
      | member(X0,sF6) ),
    inference(superposition,[],[f51,f77]) ).

fof(f216,plain,
    ! [X0] :
      ( ~ member(X0,sF8)
      | member(X0,sK5)
      | member(X0,sK4) ),
    inference(superposition,[],[f51,f79]) ).

fof(f225,plain,
    ( member(sK0(sK5,sK3),sF7)
    | spl10_2 ),
    inference(resolution,[],[f182,f103]) ).

fof(f233,plain,
    ( ! [X0] :
        ( ~ subset(sF7,X0)
        | member(sK0(sK5,sK3),X0) )
    | spl10_2 ),
    inference(resolution,[],[f225,f40]) ).

fof(f259,plain,
    ( member(sK0(sK5,sK3),sF9)
    | ~ spl10_1
    | spl10_2 ),
    inference(resolution,[],[f233,f180]) ).

fof(f263,plain,
    ( member(sK0(sK5,sK3),sK3)
    | ~ spl10_1
    | spl10_2 ),
    inference(resolution,[],[f259,f101]) ).

fof(f270,plain,
    ( subset(sK5,sK3)
    | ~ spl10_1
    | spl10_2 ),
    inference(resolution,[],[f263,f42]) ).

fof(f273,plain,
    ( $false
    | ~ spl10_1
    | spl10_2 ),
    inference(forward_subsumption_resolution,[],[f270,f90]) ).

fof(f274,plain,
    ( ~ spl10_1
    | spl10_2 ),
    inference(avatar_contradiction_clause,[],[f273]) ).

fof(f276,plain,
    ( member(sK5,power_set(sK3))
    | ~ spl10_2 ),
    inference(resolution,[],[f91,f47]) ).

fof(f278,plain,
    ( ! [X0] :
        ( ~ member(X0,sK5)
        | member(X0,sum(power_set(sK3))) )
    | ~ spl10_2 ),
    inference(resolution,[],[f276,f65]) ).

fof(f404,plain,
    ! [X0,X1] :
      ( equal_set(X0,X1)
      | member(sK0(X1,X0),X1)
      | member(sK0(X0,X1),X0) ),
    inference(resolution,[],[f116,f41]) ).

fof(f463,plain,
    ! [X0] :
      ( ~ member(sK0(X0,sF7),sK5)
      | subset(X0,sF7) ),
    inference(superposition,[],[f102,f77]) ).

fof(f481,plain,
    ! [X0] :
      ( ~ member(sK0(X0,sF7),sF6)
      | subset(X0,sF7) ),
    inference(superposition,[],[f105,f77]) ).

fof(f488,plain,
    ! [X0,X1] :
      ( member(X0,X1)
      | ~ member(X0,sum(power_set(X1)))
      | ~ member(X0,sum(power_set(X1))) ),
    inference(resolution,[],[f127,f130]) ).

fof(f490,plain,
    ! [X0,X1] :
      ( ~ member(X0,sum(power_set(X1)))
      | member(X0,X1) ),
    inference(duplicate_literal_removal,[],[f488]) ).

fof(f4578,plain,
    ( member(sK0(sF9,sF7),sF9)
    | member(sK0(sF7,sF9),sF7)
    | spl10_1 ),
    inference(resolution,[],[f404,f86]) ).

fof(f4580,definition,
    ( spl10_57
  <=> member(sK0(sF7,sF9),sF7) ),
    introduced(definition,[new_symbols(definition,[spl10_57])],[avatar_definition]) ).

fof(f4581,plain,
    ( ~ member(sK0(sF7,sF9),sF7)
    | spl10_57 ),
    inference(avatar_component_clause,[],[f4580]) ).

fof(f4582,plain,
    ( member(sK0(sF7,sF9),sF7)
    | ~ spl10_57 ),
    inference(avatar_component_clause,[],[f4580]) ).

fof(f4584,definition,
    ( spl10_58
  <=> member(sK0(sF9,sF7),sF9) ),
    introduced(definition,[new_symbols(definition,[spl10_58])],[avatar_definition]) ).

fof(f4585,plain,
    ( ~ member(sK0(sF9,sF7),sF9)
    | spl10_58 ),
    inference(avatar_component_clause,[],[f4584]) ).

fof(f4586,plain,
    ( member(sK0(sF9,sF7),sF9)
    | ~ spl10_58 ),
    inference(avatar_component_clause,[],[f4584]) ).

fof(f4587,plain,
    ( spl10_57
    | spl10_58
    | spl10_1 ),
    inference(avatar_split_clause,[],[f4578,f85,f4584,f4580]) ).

fof(f4588,plain,
    ( member(sK0(sF7,sF9),sK5)
    | member(sK0(sF7,sF9),sF6)
    | ~ spl10_57 ),
    inference(resolution,[],[f4582,f215]) ).

fof(f4604,definition,
    ( spl10_59
  <=> member(sK0(sF7,sF9),sF6) ),
    introduced(definition,[new_symbols(definition,[spl10_59])],[avatar_definition]) ).

fof(f4606,plain,
    ( member(sK0(sF7,sF9),sF6)
    | ~ spl10_59 ),
    inference(avatar_component_clause,[],[f4604]) ).

fof(f4608,definition,
    ( spl10_60
  <=> member(sK0(sF7,sF9),sK5) ),
    introduced(definition,[new_symbols(definition,[spl10_60])],[avatar_definition]) ).

fof(f4610,plain,
    ( member(sK0(sF7,sF9),sK5)
    | ~ spl10_60 ),
    inference(avatar_component_clause,[],[f4608]) ).

fof(f4611,plain,
    ( spl10_59
    | spl10_60
    | ~ spl10_57 ),
    inference(avatar_split_clause,[],[f4588,f4580,f4608,f4604]) ).

fof(f4632,plain,
    ( member(sF7,power_set(sF9))
    | spl10_57 ),
    inference(resolution,[],[f4581,f97]) ).

fof(f4637,plain,
    ( subset(sF7,sF9)
    | spl10_57 ),
    inference(resolution,[],[f4632,f46]) ).

fof(f4679,definition,
    ( spl10_62
  <=> subset(sF9,sF7) ),
    introduced(definition,[new_symbols(definition,[spl10_62])],[avatar_definition]) ).

fof(f4680,plain,
    ( subset(sF9,sF7)
    | ~ spl10_62 ),
    inference(avatar_component_clause,[],[f4679]) ).

fof(f4681,plain,
    ( ~ subset(sF9,sF7)
    | spl10_62 ),
    inference(avatar_component_clause,[],[f4679]) ).

fof(f4700,plain,
    ( member(sK0(sF9,sF7),sF9)
    | spl10_62 ),
    inference(resolution,[],[f4681,f41]) ).

fof(f4716,plain,
    ( member(sK0(sF9,sF7),sK3)
    | ~ spl10_58 ),
    inference(resolution,[],[f4586,f101]) ).

fof(f4717,plain,
    ( member(sK0(sF9,sF7),sF8)
    | ~ spl10_58 ),
    inference(resolution,[],[f4586,f99]) ).

fof(f4776,plain,
    ( member(sK0(sF9,sF7),sK5)
    | member(sK0(sF9,sF7),sK4)
    | ~ spl10_58 ),
    inference(resolution,[],[f4717,f216]) ).

fof(f4793,definition,
    ( spl10_63
  <=> member(sK0(sF9,sF7),sK4) ),
    introduced(definition,[new_symbols(definition,[spl10_63])],[avatar_definition]) ).

fof(f4795,plain,
    ( member(sK0(sF9,sF7),sK4)
    | ~ spl10_63 ),
    inference(avatar_component_clause,[],[f4793]) ).

fof(f4797,definition,
    ( spl10_64
  <=> member(sK0(sF9,sF7),sK5) ),
    introduced(definition,[new_symbols(definition,[spl10_64])],[avatar_definition]) ).

fof(f4799,plain,
    ( member(sK0(sF9,sF7),sK5)
    | ~ spl10_64 ),
    inference(avatar_component_clause,[],[f4797]) ).

fof(f4800,plain,
    ( spl10_63
    | spl10_64
    | ~ spl10_58 ),
    inference(avatar_split_clause,[],[f4776,f4584,f4797,f4793]) ).

fof(f4801,plain,
    ( $false
    | spl10_58
    | spl10_62 ),
    inference(forward_subsumption_resolution,[],[f4700,f4585]) ).

fof(f4802,plain,
    ( spl10_58
    | spl10_62 ),
    inference(avatar_contradiction_clause,[],[f4801]) ).

fof(f4824,plain,
    ( ~ subset(sF7,sF9)
    | equal_set(sF7,sF9)
    | ~ spl10_62 ),
    inference(resolution,[],[f4680,f45]) ).

fof(f4826,plain,
    ( ~ subset(sF7,sF9)
    | spl10_1
    | ~ spl10_62 ),
    inference(forward_subsumption_resolution,[],[f4824,f86]) ).

fof(f4942,plain,
    ( member(sK0(sF7,sF9),sK3)
    | ~ spl10_59 ),
    inference(resolution,[],[f4606,f100]) ).

fof(f4943,plain,
    ( member(sK0(sF7,sF9),sK4)
    | ~ spl10_59 ),
    inference(resolution,[],[f4606,f98]) ).

fof(f5045,plain,
    ( member(sK0(sF7,sF9),sF8)
    | ~ spl10_59 ),
    inference(resolution,[],[f4943,f107]) ).

fof(f5094,plain,
    ( ~ member(sK0(sF7,sF9),sK3)
    | member(sK0(sF7,sF9),sF9)
    | ~ spl10_59 ),
    inference(resolution,[],[f5045,f207]) ).

fof(f5109,plain,
    ( member(sK0(sF7,sF9),sF9)
    | ~ spl10_59 ),
    inference(forward_subsumption_resolution,[],[f5094,f4942]) ).

fof(f5130,plain,
    ( subset(sF7,sF9)
    | ~ spl10_59 ),
    inference(resolution,[],[f5109,f42]) ).

fof(f5147,plain,
    ( $false
    | spl10_1
    | ~ spl10_59
    | ~ spl10_62 ),
    inference(forward_subsumption_resolution,[],[f5130,f4826]) ).

fof(f5148,plain,
    ( spl10_1
    | ~ spl10_59
    | ~ spl10_62 ),
    inference(avatar_contradiction_clause,[],[f5147]) ).

fof(f5186,plain,
    ( member(sK0(sF7,sF9),sF8)
    | ~ spl10_60 ),
    inference(resolution,[],[f4610,f104]) ).

fof(f5187,plain,
    ( member(sK0(sF7,sF9),sum(power_set(sK3)))
    | ~ spl10_2
    | ~ spl10_60 ),
    inference(resolution,[],[f4610,f278]) ).

fof(f5224,plain,
    ( ~ member(sK0(sF7,sF9),sK3)
    | member(sK0(sF7,sF9),sF9)
    | ~ spl10_60 ),
    inference(resolution,[],[f5186,f207]) ).

fof(f5240,definition,
    ( spl10_69
  <=> member(sK0(sF7,sF9),sF9) ),
    introduced(definition,[new_symbols(definition,[spl10_69])],[avatar_definition]) ).

fof(f5242,plain,
    ( member(sK0(sF7,sF9),sF9)
    | ~ spl10_69 ),
    inference(avatar_component_clause,[],[f5240]) ).

fof(f5244,definition,
    ( spl10_70
  <=> member(sK0(sF7,sF9),sK3) ),
    introduced(definition,[new_symbols(definition,[spl10_70])],[avatar_definition]) ).

fof(f5246,plain,
    ( ~ member(sK0(sF7,sF9),sK3)
    | spl10_70 ),
    inference(avatar_component_clause,[],[f5244]) ).

fof(f5247,plain,
    ( spl10_69
    | ~ spl10_70
    | ~ spl10_60 ),
    inference(avatar_split_clause,[],[f5224,f4608,f5244,f5240]) ).

fof(f5376,plain,
    ( member(sK0(sF7,sF9),sK3)
    | ~ spl10_2
    | ~ spl10_60 ),
    inference(resolution,[],[f5187,f490]) ).

fof(f5393,plain,
    ( $false
    | ~ spl10_2
    | ~ spl10_60
    | spl10_70 ),
    inference(forward_subsumption_resolution,[],[f5376,f5246]) ).

fof(f5394,plain,
    ( ~ spl10_2
    | ~ spl10_60
    | spl10_70 ),
    inference(avatar_contradiction_clause,[],[f5393]) ).

fof(f5631,plain,
    ( ~ member(sK0(sF9,sF7),sK3)
    | member(sK0(sF9,sF7),sF6)
    | ~ spl10_63 ),
    inference(resolution,[],[f4795,f206]) ).

fof(f5647,plain,
    ( member(sK0(sF9,sF7),sF6)
    | ~ spl10_58
    | ~ spl10_63 ),
    inference(forward_subsumption_resolution,[],[f5631,f4716]) ).

fof(f5730,plain,
    ( subset(sF7,sF9)
    | ~ spl10_69 ),
    inference(resolution,[],[f5242,f42]) ).

fof(f5793,plain,
    ( subset(sF9,sF7)
    | ~ spl10_58
    | ~ spl10_63 ),
    inference(resolution,[],[f5647,f481]) ).

fof(f5812,plain,
    ( $false
    | ~ spl10_58
    | spl10_62
    | ~ spl10_63 ),
    inference(forward_subsumption_resolution,[],[f5793,f4681]) ).

fof(f5813,plain,
    ( ~ spl10_58
    | spl10_62
    | ~ spl10_63 ),
    inference(avatar_contradiction_clause,[],[f5812]) ).

fof(f5850,plain,
    ( subset(sF9,sF7)
    | ~ spl10_64 ),
    inference(resolution,[],[f4799,f463]) ).

fof(f5871,plain,
    ( $false
    | spl10_62
    | ~ spl10_64 ),
    inference(forward_subsumption_resolution,[],[f5850,f4681]) ).

fof(f5872,plain,
    ( spl10_62
    | ~ spl10_64 ),
    inference(avatar_contradiction_clause,[],[f5871]) ).

fof(f5873,plain,
    ( $false
    | spl10_1
    | spl10_57
    | ~ spl10_62 ),
    inference(forward_subsumption_resolution,[],[f4826,f4637]) ).

fof(f5874,plain,
    ( spl10_1
    | spl10_57
    | ~ spl10_62 ),
    inference(avatar_contradiction_clause,[],[f5873]) ).

fof(f5875,plain,
    ( $false
    | spl10_1
    | ~ spl10_62
    | ~ spl10_69 ),
    inference(forward_subsumption_resolution,[],[f5730,f4826]) ).

fof(f5876,plain,
    ( spl10_1
    | ~ spl10_62
    | ~ spl10_69 ),
    inference(avatar_contradiction_clause,[],[f5875]) ).

cnf(s1,plain,
    ( spl10_1
    | spl10_2 ),
    inference(sat_conversion,[],[f92]) ).

cnf(s2,plain,
    ( ~ spl10_1
    | ~ spl10_2 ),
    inference(sat_conversion,[],[f93]) ).

cnf(s6,plain,
    ( ~ spl10_1
    | spl10_2 ),
    inference(sat_conversion,[],[f274]) ).

cnf(s45,plain,
    ( spl10_1
    | spl10_57
    | spl10_58 ),
    inference(sat_conversion,[],[f4587]) ).

cnf(s46,plain,
    ( ~ spl10_57
    | spl10_59
    | spl10_60 ),
    inference(sat_conversion,[],[f4611]) ).

cnf(s48,plain,
    ( ~ spl10_58
    | spl10_63
    | spl10_64 ),
    inference(sat_conversion,[],[f4800]) ).

cnf(s49,plain,
    ( spl10_58
    | spl10_62 ),
    inference(sat_conversion,[],[f4802]) ).

cnf(s52,plain,
    ( spl10_1
    | ~ spl10_59
    | ~ spl10_62 ),
    inference(sat_conversion,[],[f5148]) ).

cnf(s53,plain,
    ( ~ spl10_60
    | spl10_69
    | ~ spl10_70 ),
    inference(sat_conversion,[],[f5247]) ).

cnf(s55,plain,
    ( ~ spl10_2
    | ~ spl10_60
    | spl10_70 ),
    inference(sat_conversion,[],[f5394]) ).

cnf(s59,plain,
    ( ~ spl10_58
    | spl10_62
    | ~ spl10_63 ),
    inference(sat_conversion,[],[f5813]) ).

cnf(s60,plain,
    ( spl10_62
    | ~ spl10_64 ),
    inference(sat_conversion,[],[f5872]) ).

cnf(s61,plain,
    ( spl10_1
    | spl10_57
    | ~ spl10_62 ),
    inference(sat_conversion,[],[f5874]) ).

cnf(s62,plain,
    ( spl10_1
    | ~ spl10_62
    | ~ spl10_69 ),
    inference(sat_conversion,[],[f5876]) ).

cnf(s63,plain,
    ( spl10_57
    | spl10_1 ),
    inference(rat,[],[s48,s59,s60,s45,s61]) ).

cnf(s64,plain,
    ( spl10_62
    | ~ spl10_58 ),
    inference(rat,[],[s48,s59,s60]) ).

cnf(s65,plain,
    ( ~ spl10_62
    | spl10_1 ),
    inference(rat,[],[s53,s55,s46,s52,s62,s1,s63]) ).

cnf(s66,plain,
    spl10_62,
    inference(rat,[],[s64,s49]) ).

cnf(s67,plain,
    spl10_1,
    inference(rat,[],[s65,s66]) ).

cnf(s68,plain,
    spl10_2,
    inference(rat,[],[s6,s67]) ).

cnf(s69,plain,
    $false,
    inference(rat,[],[s2,s68,s67]) ).

fof(f5877,plain,
    $false,
    inference(avatar_sat_refutation,[],[s69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET690+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37  % Computer : n018.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 28 02:36:09 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41  Running first-order model finding
% 0.12/0.41  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
% 4.46/1.08  % (2938761)Will run a generic schedule for satisfiability detection.
% 4.46/1.08  % (2938767)% WARNING: option uhcvi not known.
% 4.46/1.08  % (2938767)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3097041166:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 4.46/1.08  % (2938766)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1827989305_3000 on theBenchmark for (3000ds/0Mi)
% 4.46/1.08  % (2938769)dis+10_1_sil=32000:sp=arity:random_seed=1703275351:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 4.46/1.08  % (2938768)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1596290168:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 4.46/1.08  % (2938770)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3290692949:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 4.46/1.08  % (2938771)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3612842711:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 4.46/1.08  % (2938772)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2713836970:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 4.46/1.08  % TRYING [1]
% 4.46/1.08  % TRYING [2]
% 4.46/1.08  % TRYING [3]
% 4.46/1.08  % TRYING [4]
% 4.46/1.08  % TRYING [5]
% 4.46/1.08  % TRYING [6]
% 4.46/1.08  % TRYING [7]
% 4.46/1.08  % (2938769)Instruction limit reached! 
% 4.46/1.08  % (2938769)------------------------------
% 4.46/1.08  % (2938769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.08  % (2938769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.08  % (2938769)CaDiCaL version: 2.1.3
% 4.46/1.08  % (2938769)Termination reason: Instruction limit
% 4.46/1.08  % (2938769)Termination phase: Saturation
% 4.46/1.08  % (2938769)Time elapsed: 0.063 s
% 4.46/1.08  % (2938769)Peak memory usage: 12 MB
% 4.46/1.08  % (2938769)Instructions burned: 103 (million)
% 4.46/1.08  % (2938770)Instruction limit reached! 
% 4.46/1.08  % (2938770)------------------------------
% 4.46/1.08  % (2938770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.08  % (2938770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.08  % (2938770)CaDiCaL version: 2.1.3
% 4.46/1.08  % (2938770)Termination reason: Instruction limit
% 4.46/1.08  % (2938770)Termination phase: Saturation
% 4.46/1.08  % (2938770)Time elapsed: 0.068 s
% 4.46/1.08  % (2938770)Peak memory usage: 12 MB
% 4.46/1.08  % (2938770)Instructions burned: 116 (million)
% 4.46/1.08  % (2938771)Instruction limit reached! 
% 4.46/1.08  % (2938771)------------------------------
% 4.46/1.08  % (2938771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.08  % (2938771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.08  % (2938780)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=911864255:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.46/1.08  % (2938771)CaDiCaL version: 2.1.3
% 4.46/1.08  % (2938771)Termination reason: Instruction limit
% 4.46/1.08  % (2938771)Termination phase: Saturation
% 4.46/1.08  % (2938771)Time elapsed: 0.082 s
% 4.46/1.08  % (2938771)Peak memory usage: 13 MB
% 4.46/1.08  % (2938771)Instructions burned: 133 (million)
% 4.46/1.08  % TRYING [1]
% 4.46/1.08  % TRYING [2]
% 4.46/1.08  % TRYING [3]
% 4.46/1.08  % (2938781)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=251542864:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.46/1.08  % TRYING [4]
% 4.46/1.08  % TRYING [5]
% 4.46/1.08  % (2938783)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=1080315112:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.46/1.08  % (2938772)Instruction limit reached! 
% 4.46/1.08  % (2938772)------------------------------
% 4.46/1.08  % (2938772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.08  % (2938772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.08  % (2938772)CaDiCaL version: 2.1.3
% 4.46/1.08  % (2938772)Termination reason: Instruction limit
% 4.46/1.08  % (2938772)Termination phase: Saturation
% 4.46/1.08  % (2938772)Time elapsed: 0.106 s
% 4.46/1.08  % (2938772)Peak memory usage: 14 MB
% 4.46/1.08  % (2938772)Instructions burned: 159 (million)
% 4.46/1.08  % TRYING [6]
% 4.46/1.08  % TRYING [8]
% 4.46/1.08  % (2938786)ott-21_1_sil=16000:fs=off:random_seed=1524690679:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.46/1.08  % TRYING [7]
% 4.46/1.08  % (2938781)Instruction limit reached! 
% 4.46/1.08  % (2938781)------------------------------
% 4.46/1.08  % (2938781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.08  % (2938781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.08  % (2938781)CaDiCaL version: 2.1.3
% 4.46/1.08  % (2938781)Termination reason: Instruction limit
% 4.46/1.08  % (2938781)Termination phase: Saturation
% 4.46/1.08  % (2938781)Time elapsed: 0.084 s
% 4.46/1.08  % (2938781)Peak memory usage: 14 MB
% 4.46/1.08  % (2938781)Instructions burned: 132 (million)
% 4.46/1.08  % (2938788)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3967754162:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.46/1.08  % (2938786)Instruction limit reached! 
% 4.46/1.08  % (2938786)------------------------------
% 4.46/1.08  % (2938786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.08  % (2938786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.08  % (2938786)CaDiCaL version: 2.1.3
% 4.46/1.08  % (2938786)Termination reason: Instruction limit
% 4.46/1.08  % (2938786)Termination phase: Saturation
% 4.46/1.08  % (2938786)Time elapsed: 0.095 s
% 4.46/1.08  % (2938786)Peak memory usage: 13 MB
% 4.46/1.08  % (2938786)Instructions burned: 181 (million)
% 4.46/1.08  % (2938790)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3664264163:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.46/1.08  % TRYING [1]
% 4.46/1.08  % TRYING [2]
% 4.46/1.08  % TRYING [3]
% 4.46/1.08  % TRYING [4]
% 4.46/1.08  % TRYING [5]
% 4.46/1.08  % TRYING [6]
% 4.46/1.08  % TRYING [7]
% 4.46/1.08  % TRYING [9]
% 4.46/1.08  % TRYING [8]
% 4.46/1.08  % (2938780)Instruction limit reached! 
% 4.46/1.08  % (2938780)------------------------------
% 4.46/1.08  % (2938780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.08  % (2938780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.08  % (2938780)CaDiCaL version: 2.1.3
% 4.46/1.08  % (2938780)Termination reason: Instruction limit
% 4.46/1.08  % (2938780)Termination phase: Finite model building constraint generation
% 4.46/1.08  % (2938780)Time elapsed: 0.338 s
% 4.46/1.08  % (2938780)Peak memory usage: 20 MB
% 4.46/1.08  % (2938780)Instructions burned: 716 (million)
% 4.46/1.08  % TRYING [8]
% 4.46/1.08  % (2938792)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=300757142:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 4.46/1.08  % (2938783)Instruction limit reached! 
% 4.46/1.08  % (2938783)------------------------------
% 4.46/1.08  % (2938783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.08  % (2938783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.08  % (2938783)CaDiCaL version: 2.1.3
% 4.46/1.08  % (2938783)Termination reason: Instruction limit
% 4.46/1.08  % (2938783)Termination phase: Saturation
% 4.46/1.08  % (2938783)Time elapsed: 0.388 s
% 4.46/1.08  % (2938783)Peak memory usage: 18 MB
% 4.46/1.08  % (2938783)Instructions burned: 686 (million)
% 4.46/1.08  % (2938788)Instruction limit reached! 
% 4.46/1.08  % (2938788)------------------------------
% 4.46/1.08  % (2938788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.08  % (2938788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.08  % (2938788)CaDiCaL version: 2.1.3
% 4.46/1.08  % (2938788)Termination reason: Instruction limit
% 4.46/1.08  % (2938788)Termination phase: Saturation
% 4.46/1.08  % (2938788)Time elapsed: 0.299 s
% 4.46/1.08  % (2938788)Peak memory usage: 15 MB
% 4.46/1.08  % (2938788)Instructions burned: 478 (million)
% 4.46/1.08  % (2938794)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2612688133:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.46/1.08  % (2938795)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=1608482861: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)
% 4.46/1.08  % TRYING [14]
% 4.46/1.08  % (2938790)Instruction limit reached! 
% 4.46/1.08  % (2938790)------------------------------
% 4.46/1.08  % (2938790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.08  % (2938790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.08  % (2938790)CaDiCaL version: 2.1.3
% 4.46/1.08  % (2938790)Termination reason: Instruction limit
% 4.46/1.08  % (2938790)Termination phase: Finite model building SAT solving
% 4.46/1.08  % (2938790)Time elapsed: 0.331 s
% 4.46/1.08  % (2938790)Peak memory usage: 18 MB
% 4.46/1.08  % (2938790)Instructions burned: 866 (million)
% 4.46/1.08  % (2938798)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1989313416:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 4.46/1.08  % (2938792) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2938761-2938792"...
% 4.46/1.08  % (2938792)...printing done.
% 4.46/1.08  % (2938792)Refutation found. Thanks to Tanya!
% 4.46/1.08  % SZS status Theorem for theBenchmark
% 4.46/1.08  % SZS output start Proof for theBenchmark
% See solution above
% 4.46/1.08  % (2938792)------------------------------
% 4.46/1.08  % (2938792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.46/1.08  % (2938792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.08  % (2938792)CaDiCaL version: 2.1.3
% 4.46/1.08  % (2938792)Termination reason: Refutation
% 4.46/1.08  % (2938792)Time elapsed: 0.197 s
% 4.46/1.08  % (2938792)Peak memory usage: 16 MB
% 4.46/1.08  % (2938792)Instructions burned: 320 (million)
% 4.46/1.08  % (2938761)Success in time 0.665 s
% 4.46/1.08  % Vampire exiting
%------------------------------------------------------------------------------