↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU258+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n006.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 12:52:37 PM UTC 2026

% Result   : Theorem 13.48s 4.32s
% Output   : Refutation 13.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   97 (  23 unt;   3 def)
%            Number of atoms       :  329 (  24 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  383 ( 151   ~; 147   |;  62   &)
%                                         (  10 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   5 con; 0-2 aty)
%            Number of variables   :  166 ( 158   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X0,X1)
        & subset(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f9,axiom,
    ! [X0] :
      ( relation(X0)
     => ( well_ordering(X0)
      <=> ( reflexive(X0)
          & transitive(X0)
          & antisymmetric(X0)
          & connected(X0)
          & well_founded_relation(X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_wellord1) ).

fof(f10,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( relation(X0)
     => relation(relation_restriction(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_wellord1) ).

fof(f33,axiom,
    ! [X0] :
      ( relation(X0)
     => ( reflexive(X0)
      <=> ! [X1] :
            ( in(X1,relation_field(X0))
           => in(ordered_pair(X1,X1),X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_wellord1) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
    <=> ( in(X0,X2)
        & in(X1,X3) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).

fof(f41,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(X0,relation_restriction(X2,X1))
      <=> ( in(X0,X2)
          & in(X0,cartesian_product2(X1,X1)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_wellord1) ).

fof(f44,axiom,
    ! [X0,X1] :
      ( relation(X1)
     => ( subset(relation_field(relation_restriction(X1,X0)),relation_field(X1))
        & subset(relation_field(relation_restriction(X1,X0)),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_wellord1) ).

fof(f47,axiom,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( in(ordered_pair(X0,X1),X2)
       => ( in(X0,relation_field(X2))
          & in(X1,relation_field(X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).

fof(f48,conjecture,
    ! [X0,X1] :
      ( relation(X1)
     => ( ( well_ordering(X1)
          & subset(X0,relation_field(X1)) )
       => relation_field(relation_restriction(X1,X0)) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_wellord1) ).

fof(f49,negated_conjecture,
    ~ ! [X0,X1] :
        ( relation(X1)
       => ( ( well_ordering(X1)
            & subset(X0,relation_field(X1)) )
         => relation_field(relation_restriction(X1,X0)) = X0 ) ),
    inference(negated_conjecture,[status(cth)],[f48]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f66,plain,
    ! [X0] :
      ( ( well_ordering(X0)
      <=> ( reflexive(X0)
          & transitive(X0)
          & antisymmetric(X0)
          & connected(X0)
          & well_founded_relation(X0) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f69,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f72,plain,
    ! [X0] :
      ( ( reflexive(X0)
      <=> ! [X1] :
            ( in(ordered_pair(X1,X1),X0)
            | ~ in(X1,relation_field(X0)) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f73,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,relation_restriction(X2,X1))
      <=> ( in(X0,X2)
          & in(X0,cartesian_product2(X1,X1)) ) )
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( ( subset(relation_field(relation_restriction(X1,X0)),relation_field(X1))
        & subset(relation_field(relation_restriction(X1,X0)),X0) )
      | ~ relation(X1) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,relation_field(X2))
        & in(X1,relation_field(X2)) )
      | ~ in(ordered_pair(X0,X1),X2)
      | ~ relation(X2) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f79,plain,
    ! [X0,X1,X2] :
      ( ( in(X0,relation_field(X2))
        & in(X1,relation_field(X2)) )
      | ~ in(ordered_pair(X0,X1),X2)
      | ~ relation(X2) ),
    inference(flattening,[],[f78]) ).

fof(f80,plain,
    ? [X0,X1] :
      ( relation_field(relation_restriction(X1,X0)) != X0
      & well_ordering(X1)
      & subset(X0,relation_field(X1))
      & relation(X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f81,plain,
    ? [X0,X1] :
      ( relation_field(relation_restriction(X1,X0)) != X0
      & well_ordering(X1)
      & subset(X0,relation_field(X1))
      & relation(X1) ),
    inference(flattening,[],[f80]) ).

fof(f88,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f7]) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 ) ),
    inference(flattening,[],[f88]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f90]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK0(X0,X1),X1)
          & in(sK0(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f91]) ).

fof(f93,plain,
    ! [X0] :
      ( ( ( well_ordering(X0)
          | ~ reflexive(X0)
          | ~ transitive(X0)
          | ~ antisymmetric(X0)
          | ~ connected(X0)
          | ~ well_founded_relation(X0) )
        & ( ( reflexive(X0)
            & transitive(X0)
            & antisymmetric(X0)
            & connected(X0)
            & well_founded_relation(X0) )
          | ~ well_ordering(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f66]) ).

fof(f94,plain,
    ! [X0] :
      ( ( ( well_ordering(X0)
          | ~ reflexive(X0)
          | ~ transitive(X0)
          | ~ antisymmetric(X0)
          | ~ connected(X0)
          | ~ well_founded_relation(X0) )
        & ( ( reflexive(X0)
            & transitive(X0)
            & antisymmetric(X0)
            & connected(X0)
            & well_founded_relation(X0) )
          | ~ well_ordering(X0) ) )
      | ~ relation(X0) ),
    inference(flattening,[],[f93]) ).

fof(f96,plain,
    ! [X0] :
      ( ( ( reflexive(X0)
          | ? [X1] :
              ( ~ in(ordered_pair(X1,X1),X0)
              & in(X1,relation_field(X0)) ) )
        & ( ! [X1] :
              ( in(ordered_pair(X1,X1),X0)
              | ~ in(X1,relation_field(X0)) )
          | ~ reflexive(X0) ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f72]) ).

fof(f97,plain,
    ! [X0] :
      ( ( ( reflexive(X0)
          | ? [X1] :
              ( ~ in(ordered_pair(X1,X1),X0)
              & in(X1,relation_field(X0)) ) )
        & ( ! [X2] :
              ( in(ordered_pair(X2,X2),X0)
              | ~ in(X2,relation_field(X0)) )
          | ~ reflexive(X0) ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f96]) ).

fof(f98,plain,
    ! [X0] :
      ( ( ( reflexive(X0)
          | ( ~ in(ordered_pair(sK2(X0),sK2(X0)),X0)
            & in(sK2(X0),relation_field(X0)) ) )
        & ( ! [X2] :
              ( in(ordered_pair(X2,X2),X0)
              | ~ in(X2,relation_field(X0)) )
          | ~ reflexive(X0) ) )
      | ~ relation(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f97]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3] :
      ( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
        | ~ in(X0,X2)
        | ~ in(X1,X3) )
      & ( ( in(X0,X2)
          & in(X1,X3) )
        | ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
    inference(nnf_transformation,[],[f40]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3] :
      ( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
        | ~ in(X0,X2)
        | ~ in(X1,X3) )
      & ( ( in(X0,X2)
          & in(X1,X3) )
        | ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
    inference(flattening,[],[f104]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,relation_restriction(X2,X1))
          | ~ in(X0,X2)
          | ~ in(X0,cartesian_product2(X1,X1)) )
        & ( ( in(X0,X2)
            & in(X0,cartesian_product2(X1,X1)) )
          | ~ in(X0,relation_restriction(X2,X1)) ) )
      | ~ relation(X2) ),
    inference(nnf_transformation,[],[f73]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( ( ( in(X0,relation_restriction(X2,X1))
          | ~ in(X0,X2)
          | ~ in(X0,cartesian_product2(X1,X1)) )
        & ( ( in(X0,X2)
            & in(X0,cartesian_product2(X1,X1)) )
          | ~ in(X0,relation_restriction(X2,X1)) ) )
      | ~ relation(X2) ),
    inference(flattening,[],[f106]) ).

fof(f108,plain,
    ( sK8 != relation_field(relation_restriction(sK9,sK8))
    & well_ordering(sK9)
    & subset(sK8,relation_field(sK9))
    & relation(sK9) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f81]) ).

fof(f114,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f4]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | ~ subset(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f89]) ).

fof(f120,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( in(sK0(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( ~ in(sK0(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ well_ordering(X0)
      | reflexive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f129,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f10]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( relation(relation_restriction(X0,X1))
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f69]) ).

fof(f140,plain,
    ! [X2,X0] :
      ( in(ordered_pair(X2,X2),X0)
      | ~ in(X2,relation_field(X0))
      | ~ reflexive(X0)
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f155,plain,
    ! [X2,X3,X0,X1] :
      ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
      | ~ in(X0,X2)
      | ~ in(X1,X3) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,cartesian_product2(X1,X1))
      | ~ in(X0,X2)
      | in(X0,relation_restriction(X2,X1))
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( subset(relation_field(relation_restriction(X1,X0)),X0)
      | ~ relation(X1) ),
    inference(cnf_transformation,[],[f75]) ).

fof(f166,plain,
    ! [X2,X0,X1] :
      ( in(X0,relation_field(X2))
      | ~ in(ordered_pair(X0,X1),X2)
      | ~ relation(X2) ),
    inference(cnf_transformation,[],[f79]) ).

fof(f167,plain,
    relation(sK9),
    inference(cnf_transformation,[],[f108]) ).

fof(f168,plain,
    subset(sK8,relation_field(sK9)),
    inference(cnf_transformation,[],[f108]) ).

fof(f169,plain,
    well_ordering(sK9),
    inference(cnf_transformation,[],[f108]) ).

fof(f170,plain,
    sK8 != relation_field(relation_restriction(sK9,sK8)),
    inference(cnf_transformation,[],[f108]) ).

fof(f180,plain,
    ! [X2,X0] :
      ( in(unordered_pair(unordered_pair(X2,X2),singleton(X2)),X0)
      | ~ in(X2,relation_field(X0))
      | ~ reflexive(X0)
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f140,f129]) ).

fof(f181,plain,
    ! [X2,X3,X0,X1] :
      ( in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),cartesian_product2(X2,X3))
      | ~ in(X0,X2)
      | ~ in(X1,X3) ),
    inference(definition_unfolding,[],[f155,f129]) ).

fof(f184,plain,
    ! [X2,X0,X1] :
      ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X0)),X2)
      | in(X0,relation_field(X2))
      | ~ relation(X2) ),
    inference(definition_unfolding,[],[f166,f129]) ).

fof(f188,definition,
    sF10 = relation_restriction(sK9,sK8),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f189,plain,
    relation_restriction(sK9,sK8) = sF10,
    inference(reorient_equations,[],[f188]) ).

fof(f190,definition,
    sF11 = relation_field(sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f191,plain,
    relation_field(sF10) = sF11,
    inference(reorient_equations,[],[f190]) ).

fof(f192,plain,
    sK8 != sF11,
    inference(definition_folding,[],[f170,f191,f189]) ).

fof(f193,definition,
    sF12 = relation_field(sK9),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f194,plain,
    relation_field(sK9) = sF12,
    inference(reorient_equations,[],[f193]) ).

fof(f195,plain,
    subset(sK8,sF12),
    inference(definition_folding,[],[f168,f194]) ).

fof(f215,plain,
    ( reflexive(sK9)
    | ~ relation(sK9) ),
    inference(resolution,[],[f127,f169]) ).

fof(f216,plain,
    reflexive(sK9),
    inference(forward_subsumption_resolution,[],[f215,f167]) ).

fof(f217,plain,
    ( relation(sF10)
    | ~ relation(sK9) ),
    inference(superposition,[],[f132,f189]) ).

fof(f218,plain,
    relation(sF10),
    inference(forward_subsumption_resolution,[],[f217,f167]) ).

fof(f265,plain,
    ( subset(relation_field(sF10),sK8)
    | ~ relation(sK9) ),
    inference(superposition,[],[f161,f189]) ).

fof(f266,plain,
    subset(relation_field(sF10),sK8),
    inference(forward_subsumption_resolution,[],[f265,f167]) ).

fof(f267,plain,
    subset(sF11,sK8),
    inference(forward_demodulation,[],[f266,f191]) ).

fof(f278,plain,
    ( ~ subset(sK8,sF11)
    | sK8 = sF11 ),
    inference(resolution,[],[f119,f267]) ).

fof(f279,plain,
    ~ subset(sK8,sF11),
    inference(forward_subsumption_resolution,[],[f278,f192]) ).

fof(f285,plain,
    ! [X0] :
      ( ~ in(X0,sK8)
      | in(X0,sF12) ),
    inference(resolution,[],[f120,f195]) ).

fof(f366,plain,
    ! [X2,X0,X1] :
      ( ~ in(unordered_pair(unordered_pair(X0,X1),singleton(X1)),X2)
      | in(X1,relation_field(X2))
      | ~ relation(X2) ),
    inference(superposition,[],[f184,f114]) ).

fof(f369,plain,
    ! [X2,X0,X1] :
      ( ~ in(unordered_pair(singleton(X1),unordered_pair(X0,X1)),X2)
      | in(X1,relation_field(X2))
      | ~ relation(X2) ),
    inference(forward_demodulation,[],[f366,f114]) ).

fof(f407,plain,
    ! [X0,X1] :
      ( in(unordered_pair(singleton(X0),unordered_pair(X0,X0)),X1)
      | ~ in(X0,relation_field(X1))
      | ~ reflexive(X1)
      | ~ relation(X1) ),
    inference(superposition,[],[f180,f114]) ).

fof(f428,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(X0,X1)
      | ~ in(X2,X1)
      | ~ in(unordered_pair(unordered_pair(X0,X2),singleton(X0)),X3)
      | in(unordered_pair(unordered_pair(X0,X2),singleton(X0)),relation_restriction(X3,X1))
      | ~ relation(X3) ),
    inference(resolution,[],[f181,f158]) ).

fof(f443,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X2)),X3)
      | ~ in(X0,X1)
      | ~ in(X2,X1)
      | in(unordered_pair(unordered_pair(X0,X2),singleton(X0)),relation_restriction(X3,X1))
      | ~ relation(X3) ),
    inference(forward_demodulation,[],[f428,f114]) ).

fof(f444,plain,
    ! [X2,X3,X0,X1] :
      ( in(unordered_pair(singleton(X0),unordered_pair(X0,X2)),relation_restriction(X3,X1))
      | ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X2)),X3)
      | ~ in(X0,X1)
      | ~ in(X2,X1)
      | ~ relation(X3) ),
    inference(forward_demodulation,[],[f443,f114]) ).

fof(f926,plain,
    ! [X0,X1] :
      ( in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF10)
      | ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK9)
      | ~ in(X0,sK8)
      | ~ in(X1,sK8)
      | ~ relation(sK9) ),
    inference(superposition,[],[f444,f189]) ).

fof(f932,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK9)
      | in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sF10)
      | ~ in(X0,sK8)
      | ~ in(X1,sK8) ),
    inference(forward_subsumption_resolution,[],[f926,f167]) ).

fof(f1215,plain,
    ! [X0] :
      ( in(unordered_pair(singleton(X0),unordered_pair(X0,X0)),sF10)
      | ~ in(X0,sK8)
      | ~ in(X0,sK8)
      | ~ in(X0,relation_field(sK9))
      | ~ reflexive(sK9)
      | ~ relation(sK9) ),
    inference(resolution,[],[f932,f407]) ).

fof(f1218,plain,
    ! [X0] :
      ( in(unordered_pair(singleton(X0),unordered_pair(X0,X0)),sF10)
      | ~ in(X0,sK8)
      | ~ in(X0,relation_field(sK9))
      | ~ reflexive(sK9)
      | ~ relation(sK9) ),
    inference(duplicate_literal_removal,[],[f1215]) ).

fof(f1220,plain,
    ! [X0] :
      ( in(unordered_pair(singleton(X0),unordered_pair(X0,X0)),sF10)
      | ~ in(X0,sK8)
      | ~ in(X0,relation_field(sK9))
      | ~ relation(sK9) ),
    inference(forward_subsumption_resolution,[],[f1218,f216]) ).

fof(f1222,plain,
    ! [X0] :
      ( in(unordered_pair(singleton(X0),unordered_pair(X0,X0)),sF10)
      | ~ in(X0,sK8)
      | ~ in(X0,relation_field(sK9)) ),
    inference(forward_subsumption_resolution,[],[f1220,f167]) ).

fof(f1223,plain,
    ! [X0] :
      ( ~ in(X0,sF12)
      | in(unordered_pair(singleton(X0),unordered_pair(X0,X0)),sF10)
      | ~ in(X0,sK8) ),
    inference(forward_demodulation,[],[f1222,f194]) ).

fof(f1224,plain,
    ! [X0] :
      ( in(unordered_pair(singleton(X0),unordered_pair(X0,X0)),sF10)
      | ~ in(X0,sK8) ),
    inference(forward_subsumption_resolution,[],[f1223,f285]) ).

fof(f4483,plain,
    ! [X0] :
      ( ~ in(X0,sK8)
      | in(X0,relation_field(sF10))
      | ~ relation(sF10) ),
    inference(resolution,[],[f1224,f369]) ).

fof(f4487,plain,
    ! [X0] :
      ( ~ in(X0,sK8)
      | in(X0,relation_field(sF10)) ),
    inference(forward_subsumption_resolution,[],[f4483,f218]) ).

fof(f4499,plain,
    ! [X0] :
      ( ~ in(X0,sK8)
      | in(X0,sF11) ),
    inference(forward_demodulation,[],[f4487,f191]) ).

fof(f4688,plain,
    ! [X0] :
      ( in(sK0(sK8,X0),sF11)
      | subset(sK8,X0) ),
    inference(resolution,[],[f4499,f121]) ).

fof(f4824,plain,
    ( subset(sK8,sF11)
    | subset(sK8,sF11) ),
    inference(resolution,[],[f4688,f122]) ).

fof(f4828,plain,
    subset(sK8,sF11),
    inference(duplicate_literal_removal,[],[f4824]) ).

fof(f4829,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f4828,f279]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU258+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37  % Computer : n006.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 28 04:21:26 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40  Running first-order model finding
% 0.11/0.40  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
% 21.18/3.42  % (3578435)Will run a generic schedule for satisfiability detection.
% 21.18/3.42  % (3578443)dis+10_1_sil=32000:sp=arity:random_seed=2142490447:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 21.18/3.42  % (3578440)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=999877386_2999 on theBenchmark for (2999ds/0Mi)
% 21.18/3.42  % (3578442)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=111640588:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 21.18/3.42  % (3578446)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1811424605:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 21.18/3.42  % (3578444)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3795567174:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 21.18/3.42  % (3578445)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2152870377:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 21.18/3.42  % (3578441)% WARNING: option uhcvi not known.
% 21.18/3.42  % TRYING [1]
% 21.18/3.42  % TRYING [2]
% 21.18/3.42  % TRYING [3]
% 21.18/3.42  % (3578441)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3403612091:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 21.18/3.42  % TRYING [4]
% 21.18/3.42  % (3578443)Instruction limit reached! 
% 21.18/3.42  % (3578443)------------------------------
% 21.18/3.42  % (3578443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.18/3.42  % (3578443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.42  % (3578443)CaDiCaL version: 2.1.3
% 21.18/3.42  % (3578443)Termination reason: Instruction limit
% 21.18/3.42  % (3578443)Termination phase: Saturation
% 21.18/3.42  % (3578443)Time elapsed: 0.039 s
% 21.18/3.42  % (3578443)Peak memory usage: 12 MB
% 21.18/3.42  % (3578443)Instructions burned: 106 (million)
% 21.18/3.42  % (3578454)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=549703364:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 21.18/3.42  % TRYING [1]
% 21.18/3.42  % TRYING [2]
% 21.18/3.42  % TRYING [3]
% 21.18/3.42  % TRYING [4]
% 21.18/3.42  % (3578444)Instruction limit reached! 
% 21.18/3.42  % (3578444)------------------------------
% 21.18/3.42  % (3578444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.18/3.42  % (3578444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.42  % (3578444)CaDiCaL version: 2.1.3
% 21.18/3.42  % (3578444)Termination reason: Instruction limit
% 21.18/3.42  % (3578444)Termination phase: Saturation
% 21.18/3.42  % (3578444)Time elapsed: 0.073 s
% 21.18/3.42  % (3578444)Peak memory usage: 13 MB
% 21.18/3.42  % (3578444)Instructions burned: 117 (million)
% 21.18/3.42  % (3578445)Instruction limit reached! 
% 21.18/3.42  % (3578445)------------------------------
% 21.18/3.42  % (3578445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.18/3.42  % (3578445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.42  % (3578445)CaDiCaL version: 2.1.3
% 21.18/3.42  % (3578445)Termination reason: Instruction limit
% 21.18/3.42  % (3578445)Termination phase: Saturation
% 21.18/3.42  % (3578445)Time elapsed: 0.082 s
% 21.18/3.42  % (3578445)Peak memory usage: 13 MB
% 21.18/3.42  % (3578445)Instructions burned: 132 (million)
% 21.18/3.42  % (3578456)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2880468254:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 21.18/3.42  % (3578457)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=279291965:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 21.18/3.42  % (3578446)Instruction limit reached! 
% 21.18/3.42  % (3578446)------------------------------
% 21.18/3.42  % (3578446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.18/3.42  % (3578446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.18/3.42  % (3578446)CaDiCaL version: 2.1.3
% 21.18/3.42  % (3578446)Termination reason: Instruction limit
% 21.18/3.42  % (3578446)Termination phase: Saturation
% 21.18/3.42  % (3578446)Time elapsed: 0.108 s
% 21.18/3.42  % (3578446)Peak memory usage: 14 MB
% 21.18/3.42  % (3578446)Instructions burned: 160 (million)
% 21.18/3.42  % (3578460)ott-21_1_sil=16000:fs=off:random_seed=4139969842:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 21.18/3.42  % TRYING [5]
% 21.18/3.42  % TRYING [5]
% 21.18/3.42  % (3578456)Instruction limit reached! 
% 21.18/3.42  % (3578456)------------------------------
% 21.18/3.42  % (3578456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578456)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578456)Termination reason: Instruction limit
% 13.48/4.32  % (3578456)Termination phase: Saturation
% 13.48/4.32  % (3578456)Time elapsed: 0.088 s
% 13.48/4.32  % (3578456)Peak memory usage: 14 MB
% 13.48/4.32  % (3578456)Instructions burned: 131 (million)
% 13.48/4.32  % (3578462)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=932515264:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 13.48/4.32  % (3578460)Instruction limit reached! 
% 13.48/4.32  % (3578460)------------------------------
% 13.48/4.32  % (3578460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578460)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578460)Termination reason: Instruction limit
% 13.48/4.32  % (3578460)Termination phase: Saturation
% 13.48/4.32  % (3578460)Time elapsed: 0.095 s
% 13.48/4.32  % (3578460)Peak memory usage: 13 MB
% 13.48/4.32  % (3578460)Instructions burned: 181 (million)
% 13.48/4.32  % (3578464)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3452564344:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 13.48/4.32  % TRYING [1]
% 13.48/4.32  % TRYING [2]
% 13.48/4.32  % TRYING [3]
% 13.48/4.32  % TRYING [4]
% 13.48/4.32  % (3578454)Instruction limit reached! 
% 13.48/4.32  % (3578454)------------------------------
% 13.48/4.32  % (3578454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578454)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578454)Termination reason: Instruction limit
% 13.48/4.32  % (3578454)Termination phase: Finite model building SAT solving
% 13.48/4.32  % (3578454)Time elapsed: 0.225 s
% 13.48/4.32  % (3578454)Peak memory usage: 19 MB
% 13.48/4.32  % (3578454)Instructions burned: 716 (million)
% 13.48/4.32  % (3578466)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=537998199:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 13.48/4.32  % TRYING [5]
% 13.48/4.32  % (3578457)Instruction limit reached! 
% 13.48/4.32  % (3578457)------------------------------
% 13.48/4.32  % (3578457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578457)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578457)Termination reason: Instruction limit
% 13.48/4.32  % (3578457)Termination phase: Saturation
% 13.48/4.32  % (3578457)Time elapsed: 0.365 s
% 13.48/4.32  % (3578457)Peak memory usage: 19 MB
% 13.48/4.32  % (3578457)Instructions burned: 684 (million)
% 13.48/4.32  % (3578468)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2068438246:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 13.48/4.32  % TRYING [14]
% 13.48/4.32  % (3578462)Instruction limit reached! 
% 13.48/4.32  % (3578462)------------------------------
% 13.48/4.32  % (3578462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578462)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578462)Termination reason: Instruction limit
% 13.48/4.32  % (3578462)Termination phase: Saturation
% 13.48/4.32  % (3578462)Time elapsed: 0.337 s
% 13.48/4.32  % (3578462)Peak memory usage: 14 MB
% 13.48/4.32  % (3578462)Instructions burned: 478 (million)
% 13.48/4.32  % (3578470)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=3150799546: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)
% 13.48/4.32  % (3578466)Instruction limit reached! 
% 13.48/4.32  % (3578466)------------------------------
% 13.48/4.32  % (3578466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578466)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578466)Termination reason: Instruction limit
% 13.48/4.32  % (3578466)Termination phase: Saturation
% 13.48/4.32  % (3578466)Time elapsed: 0.367 s
% 13.48/4.32  % (3578466)Peak memory usage: 20 MB
% 13.48/4.32  % (3578466)Instructions burned: 1182 (million)
% 13.48/4.32  % (3578472)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2979834931:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 13.48/4.32  % (3578464)Instruction limit reached! 
% 13.48/4.32  % (3578464)------------------------------
% 13.48/4.32  % (3578464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578464)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578464)Termination reason: Instruction limit
% 13.48/4.32  % (3578464)Termination phase: Finite model building SAT solving
% 13.48/4.32  % (3578464)Time elapsed: 0.482 s
% 13.48/4.32  % (3578464)Peak memory usage: 15 MB
% 13.48/4.32  % (3578464)Instructions burned: 865 (million)
% 13.48/4.32  % (3578474)fmb+10_1_sil=64000:random_seed=622781449:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 13.48/4.32  % TRYING [1]
% 13.48/4.32  % TRYING [2]
% 13.48/4.32  % TRYING [3]
% 13.48/4.32  % TRYING [4]
% 13.48/4.32  % (3578468)Instruction limit reached! 
% 13.48/4.32  % (3578468)------------------------------
% 13.48/4.32  % (3578468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578468)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578468)Termination reason: Instruction limit
% 13.48/4.32  % (3578468)Termination phase: Finite model building constraint generation
% 13.48/4.32  % (3578468)Time elapsed: 0.317 s
% 13.48/4.32  % (3578468)Peak memory usage: 71 MB
% 13.48/4.32  % (3578468)Instructions burned: 891 (million)
% 13.48/4.32  % TRYING [5]
% 13.48/4.32  % (3578476)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1828691807:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 13.48/4.32  % TRYING [20]
% 13.48/4.32  % (3578472)Instruction limit reached! 
% 13.48/4.32  % (3578472)------------------------------
% 13.48/4.32  % (3578472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578472)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578472)Termination reason: Instruction limit
% 13.48/4.32  % (3578472)Termination phase: Saturation
% 13.48/4.32  % (3578472)Time elapsed: 0.272 s
% 13.48/4.32  % (3578472)Peak memory usage: 19 MB
% 13.48/4.32  % (3578472)Instructions burned: 880 (million)
% 13.48/4.32  % (3578478)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3680695552:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 13.48/4.32  % TRYING [8]
% 13.48/4.32  % (3578470)Instruction limit reached! 
% 13.48/4.32  % (3578470)------------------------------
% 13.48/4.32  % (3578470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578470)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578470)Termination reason: Instruction limit
% 13.48/4.32  % (3578470)Termination phase: Saturation
% 13.48/4.32  % (3578470)Time elapsed: 0.418 s
% 13.48/4.32  % (3578470)Peak memory usage: 17 MB
% 13.48/4.32  % (3578470)Instructions burned: 693 (million)
% 13.48/4.32  % (3578480)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3148799375:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 13.48/4.32  % (3578478)Instruction limit reached! 
% 13.48/4.32  % (3578478)------------------------------
% 13.48/4.32  % (3578478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578478)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578478)Termination reason: Instruction limit
% 13.48/4.32  % (3578478)Termination phase: Finite model building SAT solving
% 13.48/4.32  % (3578478)Time elapsed: 0.259 s
% 13.48/4.32  % (3578478)Peak memory usage: 43 MB
% 13.48/4.32  % (3578478)Instructions burned: 922 (million)
% 13.48/4.32  % (3578482)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=387373847:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 13.48/4.32  % TRYING [6]
% 13.48/4.32  % (3578482)Instruction limit reached! 
% 13.48/4.32  % (3578482)------------------------------
% 13.48/4.32  % (3578482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578482)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578482)Termination reason: Instruction limit
% 13.48/4.32  % (3578482)Termination phase: Saturation
% 13.48/4.32  % (3578482)Time elapsed: 0.438 s
% 13.48/4.32  % (3578482)Peak memory usage: 19 MB
% 13.48/4.32  % (3578482)Instructions burned: 1476 (million)
% 13.48/4.32  % (3578484)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1417521896:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 13.48/4.32  % TRYING [77]
% 13.48/4.32  % TRYING [6]
% 13.48/4.32  % (3578484)Instruction limit reached! 
% 13.48/4.32  % (3578484)------------------------------
% 13.48/4.32  % (3578484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578484)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578484)Termination reason: Instruction limit
% 13.48/4.32  % (3578484)Termination phase: Finite model building constraint generation
% 13.48/4.32  % (3578484)Time elapsed: 1.304 s
% 13.48/4.32  % (3578484)Peak memory usage: 523 MB
% 13.48/4.32  % (3578484)Instructions burned: 6328 (million)
% 13.48/4.32  % (3578486)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4240992507:fmbsr=2.30978:i=2174_2969 on theBenchmark for (2969ds/2174Mi)
% 13.48/4.32  % TRYING [16]
% 13.48/4.32  % (3578486)Instruction limit reached! 
% 13.48/4.32  % (3578486)------------------------------
% 13.48/4.32  % (3578486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578486)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578486)Termination reason: Instruction limit
% 13.48/4.32  % (3578486)Termination phase: Finite model building constraint generation
% 13.48/4.32  % (3578486)Time elapsed: 0.404 s
% 13.48/4.32  % (3578486)Peak memory usage: 138 MB
% 13.48/4.32  % (3578486)Instructions burned: 2177 (million)
% 13.48/4.32  % (3578488)ott-2_1_sil=16000:newcnf=on:random_seed=4254331871:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2965 on theBenchmark for (2965ds/869Mi)
% 13.48/4.32  % (3578488)Instruction limit reached! 
% 13.48/4.32  % (3578488)------------------------------
% 13.48/4.32  % (3578488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578488)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578488)Termination reason: Instruction limit
% 13.48/4.32  % (3578488)Termination phase: Saturation
% 13.48/4.32  % (3578488)Time elapsed: 0.288 s
% 13.48/4.32  % (3578488)Peak memory usage: 18 MB
% 13.48/4.32  % (3578488)Instructions burned: 870 (million)
% 13.48/4.32  % (3578490)ott+10_1_sil=32000:tgt=ground:random_seed=1863356175:i=5114:av=off_2962 on theBenchmark for (2962ds/5114Mi)
% 13.48/4.32  % (3578480)Instruction limit reached! 
% 13.48/4.32  % (3578480)------------------------------
% 13.48/4.32  % (3578480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578480)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578480)Termination reason: Instruction limit
% 13.48/4.32  % (3578480)Termination phase: Saturation
% 13.48/4.32  % (3578480)Time elapsed: 2.803 s
% 13.48/4.32  % (3578480)Peak memory usage: 28 MB
% 13.48/4.32  % (3578480)Instructions burned: 5132 (million)
% 13.48/4.32  % (3578492)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=385703621:i=54282_2961 on theBenchmark for (2961ds/54282Mi)
% 13.48/4.32  % TRYING [1]
% 13.48/4.32  % TRYING [2]
% 13.48/4.32  % (3578490) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3578435-3578490"...
% 13.48/4.32  % TRYING [3]
% 13.48/4.32  % (3578490)...printing done.
% 13.48/4.32  % (3578490)Refutation found. Thanks to Tanya!
% 13.48/4.32  % SZS status Theorem for theBenchmark
% 13.48/4.32  % SZS output start Proof for theBenchmark
% See solution above
% 13.48/4.32  % (3578490)------------------------------
% 13.48/4.32  % (3578490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.48/4.32  % (3578490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/4.32  % (3578490)CaDiCaL version: 2.1.3
% 13.48/4.32  % (3578490)Termination reason: Refutation
% 13.48/4.32  % (3578490)Time elapsed: 0.083 s
% 13.48/4.32  % (3578490)Peak memory usage: 15 MB
% 13.48/4.32  % (3578490)Instructions burned: 256 (million)
% 13.48/4.32  % (3578435)Success in time 3.906 s
% 13.48/4.32  % Vampire exiting
%------------------------------------------------------------------------------