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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU236+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n002.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 12:52:32 PM UTC 2026

% Result   : Theorem 36.74s 5.69s
% Output   : Refutation 36.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  118 (  41 unt;   2 def)
%            Number of atoms       :  305 (  26 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  304 ( 117   ~; 121   |;  43   &)
%                                         (  11 <=>;  11  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :  123 ( 113   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( ( ordinal(X0)
        & ordinal(X1) )
     => ( ordinal_subset(X0,X1)
        | ordinal_subset(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connectedness_r1_ordinal1) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( X0 = X1
    <=> ( subset(X0,X1)
        & subset(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(f22,axiom,
    ! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_ordinal1) ).

fof(f28,axiom,
    ! [X0] :
      ( epsilon_transitive(X0)
    <=> ! [X1] :
          ( in(X1,X0)
         => subset(X1,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).

fof(f36,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f39,axiom,
    ! [X0] :
      ( ordinal(X0)
    <=> ( epsilon_transitive(X0)
        & epsilon_connected(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_ordinal1) ).

fof(f105,axiom,
    ! [X0] :
      ( ordinal(X0)
     => ( ~ empty(succ(X0))
        & epsilon_transitive(succ(X0))
        & epsilon_connected(succ(X0))
        & ordinal(succ(X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_ordinal1) ).

fof(f153,axiom,
    ! [X0,X1] :
      ( ( ordinal(X0)
        & ordinal(X1) )
     => ( ordinal_subset(X0,X1)
      <=> subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).

fof(f158,axiom,
    ! [X0] : in(X0,succ(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_ordinal1) ).

fof(f206,conjecture,
    ! [X0] :
      ( ordinal(X0)
     => ! [X1] :
          ( ordinal(X1)
         => ( in(X0,X1)
          <=> ordinal_subset(succ(X0),X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_ordinal1) ).

fof(f207,negated_conjecture,
    ~ ! [X0] :
        ( ordinal(X0)
       => ! [X1] :
            ( ordinal(X1)
           => ( in(X0,X1)
            <=> ordinal_subset(succ(X0),X1) ) ) ),
    inference(negated_conjecture,[status(cth)],[f206]) ).

fof(f231,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => set_union2(singleton(X0),X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_zfmisc_1) ).

fof(f254,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).

fof(f263,axiom,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).

fof(f269,axiom,
    ! [X0,X1,X2] :
      ( ( subset(X0,X1)
        & subset(X2,X1) )
     => subset(set_union2(X0,X2),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).

fof(f299,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X1)
      | ordinal_subset(X1,X0)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f300,plain,
    ! [X0,X1] :
      ( ordinal_subset(X0,X1)
      | ordinal_subset(X1,X0)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(flattening,[],[f299]) ).

fof(f313,plain,
    ! [X0] :
      ( epsilon_transitive(X0)
    <=> ! [X1] :
          ( subset(X1,X0)
          | ~ in(X1,X0) ) ),
    inference(ennf_transformation,[],[f28]) ).

fof(f318,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f363,plain,
    ! [X0] :
      ( ( ~ empty(succ(X0))
        & epsilon_transitive(succ(X0))
        & epsilon_connected(succ(X0))
        & ordinal(succ(X0)) )
      | ~ ordinal(X0) ),
    inference(ennf_transformation,[],[f105]) ).

fof(f397,plain,
    ! [X0,X1] :
      ( ( ordinal_subset(X0,X1)
      <=> subset(X0,X1) )
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(ennf_transformation,[],[f153]) ).

fof(f398,plain,
    ! [X0,X1] :
      ( ( ordinal_subset(X0,X1)
      <=> subset(X0,X1) )
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(flattening,[],[f397]) ).

fof(f464,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( in(X0,X1)
          <~> ordinal_subset(succ(X0),X1) )
          & ordinal(X1) )
      & ordinal(X0) ),
    inference(ennf_transformation,[],[f207]) ).

fof(f482,plain,
    ! [X0,X1] :
      ( set_union2(singleton(X0),X1) = X1
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f231]) ).

fof(f529,plain,
    ! [X0,X1,X2] :
      ( subset(set_union2(X0,X2),X1)
      | ~ subset(X0,X1)
      | ~ subset(X2,X1) ),
    inference(ennf_transformation,[],[f269]) ).

fof(f530,plain,
    ! [X0,X1,X2] :
      ( subset(set_union2(X0,X2),X1)
      | ~ subset(X0,X1)
      | ~ subset(X2,X1) ),
    inference(flattening,[],[f529]) ).

fof(f545,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f14]) ).

fof(f546,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 ) ),
    inference(flattening,[],[f545]) ).

fof(f587,plain,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & in(X1,X0) ) )
      & ( ! [X1] :
            ( subset(X1,X0)
            | ~ in(X1,X0) )
        | ~ epsilon_transitive(X0) ) ),
    inference(nnf_transformation,[],[f313]) ).

fof(f588,plain,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        | ? [X1] :
            ( ~ subset(X1,X0)
            & in(X1,X0) ) )
      & ( ! [X2] :
            ( subset(X2,X0)
            | ~ in(X2,X0) )
        | ~ epsilon_transitive(X0) ) ),
    inference(rectify,[],[f587]) ).

fof(f589,plain,
    ! [X0] :
      ( ( epsilon_transitive(X0)
        | ( ~ subset(sK27(X0),X0)
          & in(sK27(X0),X0) ) )
      & ( ! [X2] :
            ( subset(X2,X0)
            | ~ in(X2,X0) )
        | ~ epsilon_transitive(X0) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X1,sK27(X0))],[f588]) ).

fof(f611,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,[],[f318]) ).

fof(f612,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,[],[f611]) ).

fof(f613,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK41(X0,X1),X1)
          & in(sK41(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(X2,sK41(X0,X1))],[f612]) ).

fof(f619,plain,
    ! [X0] :
      ( ( ordinal(X0)
        | ~ epsilon_transitive(X0)
        | ~ epsilon_connected(X0) )
      & ( ( epsilon_transitive(X0)
          & epsilon_connected(X0) )
        | ~ ordinal(X0) ) ),
    inference(nnf_transformation,[],[f39]) ).

fof(f620,plain,
    ! [X0] :
      ( ( ordinal(X0)
        | ~ epsilon_transitive(X0)
        | ~ epsilon_connected(X0) )
      & ( ( epsilon_transitive(X0)
          & epsilon_connected(X0) )
        | ~ ordinal(X0) ) ),
    inference(flattening,[],[f619]) ).

fof(f675,plain,
    ! [X0,X1] :
      ( ( ( ordinal_subset(X0,X1)
          | ~ subset(X0,X1) )
        & ( subset(X0,X1)
          | ~ ordinal_subset(X0,X1) ) )
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(nnf_transformation,[],[f398]) ).

fof(f693,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( ~ ordinal_subset(succ(X0),X1)
            | ~ in(X0,X1) )
          & ( ordinal_subset(succ(X0),X1)
            | in(X0,X1) )
          & ordinal(X1) )
      & ordinal(X0) ),
    inference(nnf_transformation,[],[f464]) ).

fof(f694,plain,
    ? [X0] :
      ( ? [X1] :
          ( ( ~ ordinal_subset(succ(X0),X1)
            | ~ in(X0,X1) )
          & ( ordinal_subset(succ(X0),X1)
            | in(X0,X1) )
          & ordinal(X1) )
      & ordinal(X0) ),
    inference(flattening,[],[f693]) ).

fof(f695,plain,
    ( ( ~ ordinal_subset(succ(sK87),sK88)
      | ~ in(sK87,sK88) )
    & ( ordinal_subset(succ(sK87),sK88)
      | in(sK87,sK88) )
    & ordinal(sK88)
    & ordinal(sK87) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88]),skolemize(X0,sK87),skolemize(X1,sK88)],[f694]) ).

fof(f747,plain,
    ! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
    inference(cnf_transformation,[],[f10]) ).

fof(f749,plain,
    ! [X0,X1] :
      ( ordinal_subset(X1,X0)
      | ordinal_subset(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f300]) ).

fof(f758,plain,
    ! [X0,X1] :
      ( ~ subset(X1,X0)
      | ~ subset(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f546]) ).

fof(f805,plain,
    ! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
    inference(cnf_transformation,[],[f22]) ).

fof(f827,plain,
    ! [X2,X0] :
      ( ~ in(X2,X0)
      | subset(X2,X0)
      | ~ epsilon_transitive(X0) ),
    inference(cnf_transformation,[],[f589]) ).

fof(f867,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f613]) ).

fof(f881,plain,
    ! [X0] :
      ( ~ ordinal(X0)
      | epsilon_transitive(X0) ),
    inference(cnf_transformation,[],[f620]) ).

fof(f882,plain,
    ! [X0] :
      ( ~ epsilon_connected(X0)
      | ~ epsilon_transitive(X0)
      | ordinal(X0) ),
    inference(cnf_transformation,[],[f620]) ).

fof(f983,plain,
    ! [X0] :
      ( epsilon_connected(succ(X0))
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f363]) ).

fof(f984,plain,
    ! [X0] :
      ( epsilon_transitive(succ(X0))
      | ~ ordinal(X0) ),
    inference(cnf_transformation,[],[f363]) ).

fof(f1070,plain,
    ! [X0,X1] :
      ( ~ ordinal_subset(X0,X1)
      | subset(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f675]) ).

fof(f1071,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | ordinal_subset(X0,X1)
      | ~ ordinal(X0)
      | ~ ordinal(X1) ),
    inference(cnf_transformation,[],[f675]) ).

fof(f1078,plain,
    ! [X0] : in(X0,succ(X0)),
    inference(cnf_transformation,[],[f158]) ).

fof(f1146,plain,
    ordinal(sK87),
    inference(cnf_transformation,[],[f695]) ).

fof(f1147,plain,
    ordinal(sK88),
    inference(cnf_transformation,[],[f695]) ).

fof(f1148,plain,
    ( ordinal_subset(succ(sK87),sK88)
    | in(sK87,sK88) ),
    inference(cnf_transformation,[],[f695]) ).

fof(f1149,plain,
    ( ~ ordinal_subset(succ(sK87),sK88)
    | ~ in(sK87,sK88) ),
    inference(cnf_transformation,[],[f695]) ).

fof(f1188,plain,
    ! [X0,X1] :
      ( set_union2(singleton(X0),X1) = X1
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[],[f482]) ).

fof(f1232,plain,
    ! [X0] : singleton(X0) = unordered_pair(X0,X0),
    inference(cnf_transformation,[],[f254]) ).

fof(f1245,plain,
    ! [X0,X1] : subset(X0,set_union2(X0,X1)),
    inference(cnf_transformation,[],[f263]) ).

fof(f1256,plain,
    ! [X2,X0,X1] :
      ( subset(set_union2(X0,X2),X1)
      | ~ subset(X0,X1)
      | ~ subset(X2,X1) ),
    inference(cnf_transformation,[],[f530]) ).

fof(f1269,plain,
    ! [X0] : succ(X0) = set_union2(X0,unordered_pair(X0,X0)),
    inference(definition_unfolding,[],[f805,f1232]) ).

fof(f1347,plain,
    ! [X0] :
      ( epsilon_transitive(set_union2(X0,unordered_pair(X0,X0)))
      | ~ ordinal(X0) ),
    inference(definition_unfolding,[],[f984,f1269]) ).

fof(f1348,plain,
    ! [X0] :
      ( epsilon_connected(set_union2(X0,unordered_pair(X0,X0)))
      | ~ ordinal(X0) ),
    inference(definition_unfolding,[],[f983,f1269]) ).

fof(f1367,plain,
    ! [X0] : in(X0,set_union2(X0,unordered_pair(X0,X0))),
    inference(definition_unfolding,[],[f1078,f1269]) ).

fof(f1384,plain,
    ( ~ ordinal_subset(set_union2(sK87,unordered_pair(sK87,sK87)),sK88)
    | ~ in(sK87,sK88) ),
    inference(definition_unfolding,[],[f1149,f1269]) ).

fof(f1385,plain,
    ( ordinal_subset(set_union2(sK87,unordered_pair(sK87,sK87)),sK88)
    | in(sK87,sK88) ),
    inference(definition_unfolding,[],[f1148,f1269]) ).

fof(f1393,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | set_union2(unordered_pair(X0,X0),X1) = X1 ),
    inference(definition_unfolding,[],[f1188,f1232]) ).

fof(f1520,definition,
    sF100 = unordered_pair(sK87,sK87),
    introduced(definition,[new_symbols(definition,[sF100])],[function_definition]) ).

fof(f1521,plain,
    unordered_pair(sK87,sK87) = sF100,
    inference(reorient_equations,[],[f1520]) ).

fof(f1522,definition,
    sF101 = set_union2(sK87,sF100),
    introduced(definition,[new_symbols(definition,[sF101])],[function_definition]) ).

fof(f1523,plain,
    set_union2(sK87,sF100) = sF101,
    inference(reorient_equations,[],[f1522]) ).

fof(f1524,plain,
    ( ~ ordinal_subset(sF101,sK88)
    | ~ in(sK87,sK88) ),
    inference(definition_folding,[],[f1384,f1523,f1521]) ).

fof(f1525,plain,
    ( ordinal_subset(sF101,sK88)
    | in(sK87,sK88) ),
    inference(definition_folding,[],[f1385,f1523,f1521]) ).

fof(f1594,plain,
    epsilon_transitive(sK88),
    inference(resolution,[],[f881,f1147]) ).

fof(f1799,plain,
    in(sK87,set_union2(sK87,sF100)),
    inference(superposition,[],[f1367,f1521]) ).

fof(f1801,plain,
    in(sK87,sF101),
    inference(forward_demodulation,[],[f1799,f1523]) ).

fof(f1825,plain,
    ! [X0,X1] : subset(X1,set_union2(X0,X1)),
    inference(superposition,[],[f1245,f747]) ).

fof(f2216,plain,
    ( epsilon_transitive(set_union2(sK87,sF100))
    | ~ ordinal(sK87) ),
    inference(superposition,[],[f1347,f1521]) ).

fof(f2219,plain,
    epsilon_transitive(set_union2(sK87,sF100)),
    inference(forward_subsumption_resolution,[],[f2216,f1146]) ).

fof(f2221,plain,
    epsilon_transitive(sF101),
    inference(forward_demodulation,[],[f2219,f1523]) ).

fof(f2223,plain,
    ( epsilon_connected(set_union2(sK87,sF100))
    | ~ ordinal(sK87) ),
    inference(superposition,[],[f1348,f1521]) ).

fof(f2226,plain,
    epsilon_connected(set_union2(sK87,sF100)),
    inference(forward_subsumption_resolution,[],[f2223,f1146]) ).

fof(f2228,plain,
    epsilon_connected(sF101),
    inference(forward_demodulation,[],[f2226,f1523]) ).

fof(f2229,plain,
    ( ~ epsilon_transitive(sF101)
    | ordinal(sF101) ),
    inference(resolution,[],[f2228,f882]) ).

fof(f2230,plain,
    ordinal(sF101),
    inference(forward_subsumption_resolution,[],[f2229,f2221]) ).

fof(f3651,plain,
    ( ordinal_subset(sK88,sF101)
    | ~ ordinal(sF101)
    | ~ ordinal(sK88)
    | ~ in(sK87,sK88) ),
    inference(resolution,[],[f749,f1524]) ).

fof(f3654,plain,
    ( ordinal_subset(sK88,sF101)
    | ~ ordinal(sK88)
    | ~ in(sK87,sK88) ),
    inference(forward_subsumption_resolution,[],[f3651,f2230]) ).

fof(f3656,plain,
    ( ~ in(sK87,sK88)
    | ordinal_subset(sK88,sF101) ),
    inference(forward_subsumption_resolution,[],[f3654,f1147]) ).

fof(f3734,plain,
    ( subset(sF101,sK88)
    | ~ ordinal(sF101)
    | ~ ordinal(sK88)
    | in(sK87,sK88) ),
    inference(resolution,[],[f1070,f1525]) ).

fof(f3743,plain,
    ( subset(sF101,sK88)
    | ~ ordinal(sK88)
    | in(sK87,sK88) ),
    inference(forward_subsumption_resolution,[],[f3734,f2230]) ).

fof(f3745,plain,
    ( subset(sF101,sK88)
    | in(sK87,sK88) ),
    inference(forward_subsumption_resolution,[],[f3743,f1147]) ).

fof(f3747,plain,
    ! [X0] :
      ( ~ in(X0,sF101)
      | in(sK87,sK88)
      | in(X0,sK88) ),
    inference(resolution,[],[f3745,f867]) ).

fof(f4140,plain,
    ! [X0] :
      ( ~ subset(sF100,X0)
      | ~ subset(sK87,X0)
      | subset(sF101,X0) ),
    inference(superposition,[],[f1256,f1523]) ).

fof(f5527,plain,
    ( in(sK87,sK88)
    | in(sK87,sK88) ),
    inference(resolution,[],[f3747,f1801]) ).

fof(f5531,plain,
    in(sK87,sK88),
    inference(duplicate_literal_removal,[],[f5527]) ).

fof(f5545,plain,
    ordinal_subset(sK88,sF101),
    inference(resolution,[],[f5531,f3656]) ).

fof(f5547,plain,
    ( subset(sK87,sK88)
    | ~ epsilon_transitive(sK88) ),
    inference(resolution,[],[f5531,f827]) ).

fof(f5554,plain,
    sK88 = set_union2(unordered_pair(sK87,sK87),sK88),
    inference(resolution,[],[f5531,f1393]) ).

fof(f5556,plain,
    sK88 = set_union2(sK88,unordered_pair(sK87,sK87)),
    inference(forward_demodulation,[],[f5554,f747]) ).

fof(f5557,plain,
    subset(sK87,sK88),
    inference(forward_subsumption_resolution,[],[f5547,f1594]) ).

fof(f5558,plain,
    sK88 = set_union2(sK88,sF100),
    inference(forward_demodulation,[],[f5556,f1521]) ).

fof(f5638,plain,
    ( subset(sK88,sF101)
    | ~ ordinal(sK88)
    | ~ ordinal(sF101) ),
    inference(resolution,[],[f5545,f1070]) ).

fof(f5639,plain,
    ( subset(sK88,sF101)
    | ~ ordinal(sF101) ),
    inference(forward_subsumption_resolution,[],[f5638,f1147]) ).

fof(f5640,plain,
    subset(sK88,sF101),
    inference(forward_subsumption_resolution,[],[f5639,f2230]) ).

fof(f5760,plain,
    ( ~ subset(sF101,sK88)
    | sK88 = sF101 ),
    inference(resolution,[],[f5640,f758]) ).

fof(f6282,plain,
    subset(sF100,sK88),
    inference(superposition,[],[f1825,f5558]) ).

fof(f35805,plain,
    ( ~ subset(sK87,sK88)
    | subset(sF101,sK88) ),
    inference(resolution,[],[f4140,f6282]) ).

fof(f35808,plain,
    subset(sF101,sK88),
    inference(forward_subsumption_resolution,[],[f35805,f5557]) ).

fof(f35810,plain,
    sK88 = sF101,
    inference(resolution,[],[f35808,f5760]) ).

fof(f35815,plain,
    ( ordinal_subset(sF101,sK88)
    | ~ ordinal(sF101)
    | ~ ordinal(sK88) ),
    inference(resolution,[],[f35808,f1071]) ).

fof(f35833,plain,
    ( ordinal_subset(sF101,sK88)
    | ~ ordinal(sK88) ),
    inference(forward_subsumption_resolution,[],[f35815,f2230]) ).

fof(f35842,plain,
    ordinal_subset(sF101,sK88),
    inference(forward_subsumption_resolution,[],[f35833,f1147]) ).

fof(f35847,plain,
    ordinal_subset(sK88,sK88),
    inference(forward_demodulation,[],[f35842,f35810]) ).

fof(f36040,plain,
    ( ~ ordinal_subset(sK88,sK88)
    | ~ in(sK87,sK88) ),
    inference(superposition,[],[f1524,f35810]) ).

fof(f36312,plain,
    ~ in(sK87,sK88),
    inference(forward_subsumption_resolution,[],[f36040,f35847]) ).

fof(f36313,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f36312,f5531]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU236+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.36  % Computer : n002.cluster.edu
% 0.12/0.36  % Model    : x86_64 x86_64
% 0.12/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36  % Memory   : 8046.5625MB
% 0.12/0.36  % OS       : Linux 6.8.0-71-generic
% 0.12/0.36  % CPULimit : 300
% 0.12/0.36  % WCLimit  : 300
% 0.12/0.36  % DateTime : Mon Sep 28 04:17:52 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40  Running first-order model finding
% 0.12/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.22/2.76  % (4139417)Will run a generic schedule for satisfiability detection.
% 16.22/2.76  % (4139423)% WARNING: option uhcvi not known.
% 16.22/2.76  % (4139423)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1090195132:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.22/2.76  % (4139422)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1521062054_2999 on theBenchmark for (2999ds/0Mi)
% 16.22/2.76  % (4139424)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=516942847:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.22/2.76  % (4139425)dis+10_1_sil=32000:sp=arity:random_seed=3488778638:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.22/2.76  % (4139426)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3610615960:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.22/2.76  % (4139428)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3150356827:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.22/2.76  % (4139427)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4244256066:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.22/2.76  % TRYING [1]
% 16.22/2.76  % (4139426)Instruction limit reached! 
% 16.22/2.76  % (4139426)------------------------------
% 16.22/2.76  % (4139426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.22/2.76  % (4139426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.76  % (4139426)CaDiCaL version: 2.1.3
% 16.22/2.76  % (4139426)Termination reason: Instruction limit
% 16.22/2.76  % (4139426)Termination phase: Saturation
% 16.22/2.76  % (4139426)Time elapsed: 0.060 s
% 16.22/2.76  % (4139426)Peak memory usage: 13 MB
% 16.22/2.76  % (4139426)Instructions burned: 117 (million)
% 16.22/2.76  % TRYING [2]
% 16.22/2.76  % (4139425)Instruction limit reached! 
% 16.22/2.76  % (4139425)------------------------------
% 16.22/2.76  % (4139425)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.22/2.76  % (4139425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.76  % (4139425)CaDiCaL version: 2.1.3
% 16.22/2.76  % (4139425)Termination reason: Instruction limit
% 16.22/2.76  % (4139425)Termination phase: Saturation
% 16.22/2.76  % (4139425)Time elapsed: 0.068 s
% 16.22/2.76  % (4139425)Peak memory usage: 13 MB
% 16.22/2.76  % (4139425)Instructions burned: 103 (million)
% 16.22/2.76  % (4139427)Instruction limit reached! 
% 16.22/2.76  % (4139427)------------------------------
% 16.22/2.76  % (4139427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.22/2.76  % (4139427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.76  % (4139427)CaDiCaL version: 2.1.3
% 16.22/2.76  % (4139427)Termination reason: Instruction limit
% 16.22/2.76  % (4139427)Termination phase: Saturation
% 16.22/2.76  % (4139427)Time elapsed: 0.077 s
% 16.22/2.76  % (4139427)Peak memory usage: 14 MB
% 16.22/2.76  % (4139427)Instructions burned: 131 (million)
% 16.22/2.76  % (4139436)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1949465332:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.22/2.76  % (4139437)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1995572613:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.22/2.76  % TRYING [3]
% 16.22/2.76  % (4139438)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=2949238163:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.22/2.76  % (4139428)Instruction limit reached! 
% 16.22/2.76  % (4139428)------------------------------
% 16.22/2.76  % (4139428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.22/2.76  % (4139428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.22/2.76  % (4139428)CaDiCaL version: 2.1.3
% 16.22/2.76  % (4139428)Termination reason: Instruction limit
% 16.22/2.76  % (4139428)Termination phase: Saturation
% 16.22/2.76  % (4139428)Time elapsed: 0.100 s
% 16.22/2.76  % (4139428)Peak memory usage: 14 MB
% 16.22/2.76  % (4139428)Instructions burned: 159 (million)
% 16.22/2.76  % (4139442)ott-21_1_sil=16000:fs=off:random_seed=2531057064:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.22/2.76  % TRYING [1]
% 16.22/2.76  % TRYING [2]
% 16.22/2.76  % TRYING [3]
% 16.22/2.76  % (4139437)Instruction limit reached! 
% 16.22/2.76  % (4139437)------------------------------
% 16.22/2.76  % (4139437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.22/2.76  % (4139437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139437)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139437)Termination reason: Instruction limit
% 36.74/5.69  % (4139437)Termination phase: Saturation
% 36.74/5.69  % (4139437)Time elapsed: 0.079 s
% 36.74/5.69  % (4139437)Peak memory usage: 14 MB
% 36.74/5.69  % (4139437)Instructions burned: 132 (million)
% 36.74/5.69  % (4139444)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1989544195:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 36.74/5.69  % (4139442)Instruction limit reached! 
% 36.74/5.69  % (4139442)------------------------------
% 36.74/5.69  % (4139442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139442)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139442)Termination reason: Instruction limit
% 36.74/5.69  % (4139442)Termination phase: Saturation
% 36.74/5.69  % (4139442)Time elapsed: 0.096 s
% 36.74/5.69  % (4139442)Peak memory usage: 14 MB
% 36.74/5.69  % (4139442)Instructions burned: 182 (million)
% 36.74/5.69  % (4139446)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=147427164:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 36.74/5.69  % TRYING [4]
% 36.74/5.69  % TRYING [4]
% 36.74/5.69  % TRYING [1]
% 36.74/5.69  % TRYING [2]
% 36.74/5.69  % (4139436)Instruction limit reached! 
% 36.74/5.69  % (4139436)------------------------------
% 36.74/5.69  % (4139436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139436)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139436)Termination reason: Instruction limit
% 36.74/5.69  % (4139436)Termination phase: Finite model building constraint generation
% 36.74/5.69  % (4139436)Time elapsed: 0.272 s
% 36.74/5.69  % (4139436)Peak memory usage: 33 MB
% 36.74/5.69  % (4139436)Instructions burned: 715 (million)
% 36.74/5.69  % TRYING [3]
% 36.74/5.69  % (4139448)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4105430447:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 36.74/5.69  % (4139438)Instruction limit reached! 
% 36.74/5.69  % (4139438)------------------------------
% 36.74/5.69  % (4139438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139438)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139438)Termination reason: Instruction limit
% 36.74/5.69  % (4139438)Termination phase: Saturation
% 36.74/5.69  % (4139438)Time elapsed: 0.404 s
% 36.74/5.69  % (4139438)Peak memory usage: 18 MB
% 36.74/5.69  % (4139438)Instructions burned: 685 (million)
% 36.74/5.69  % (4139450)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3991140233:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 36.74/5.69  % (4139444)Instruction limit reached! 
% 36.74/5.69  % (4139444)------------------------------
% 36.74/5.69  % (4139444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139444)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139444)Termination reason: Instruction limit
% 36.74/5.69  % (4139444)Termination phase: Saturation
% 36.74/5.69  % (4139444)Time elapsed: 0.338 s
% 36.74/5.69  % (4139444)Peak memory usage: 15 MB
% 36.74/5.69  % (4139444)Instructions burned: 477 (million)
% 36.74/5.69  % (4139452)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=134659824: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)
% 36.74/5.69  % (4139446)Instruction limit reached! 
% 36.74/5.69  % (4139446)------------------------------
% 36.74/5.69  % (4139446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139446)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139446)Termination reason: Instruction limit
% 36.74/5.69  % (4139446)Termination phase: Finite model building SAT solving
% 36.74/5.69  % (4139446)Time elapsed: 0.401 s
% 36.74/5.69  % (4139446)Peak memory usage: 36 MB
% 36.74/5.69  % (4139446)Instructions burned: 866 (million)
% 36.74/5.69  % (4139454)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=311304144:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 36.74/5.69  % TRYING [5]
% 36.74/5.69  % (4139450)Instruction limit reached! 
% 36.74/5.69  % (4139450)------------------------------
% 36.74/5.69  % (4139450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139450)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139450)Termination reason: Instruction limit
% 36.74/5.69  % (4139450)Termination phase: Finite model building constraint generation
% 36.74/5.69  % (4139450)Time elapsed: 0.423 s
% 36.74/5.69  % (4139450)Peak memory usage: 101 MB
% 36.74/5.69  % (4139450)Instructions burned: 891 (million)
% 36.74/5.69  % (4139456)fmb+10_1_sil=64000:random_seed=2860008011:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 36.74/5.69  % (4139452)Instruction limit reached! 
% 36.74/5.69  % (4139452)------------------------------
% 36.74/5.69  % (4139452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139452)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139452)Termination reason: Instruction limit
% 36.74/5.69  % (4139452)Termination phase: Saturation
% 36.74/5.69  % (4139452)Time elapsed: 0.451 s
% 36.74/5.69  % (4139452)Peak memory usage: 21 MB
% 36.74/5.69  % (4139452)Instructions burned: 692 (million)
% 36.74/5.69  % (4139458)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3780847502:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 36.74/5.69  % TRYING [1]
% 36.74/5.69  % TRYING [2]
% 36.74/5.69  % TRYING [20]
% 36.74/5.69  % TRYING [3]
% 36.74/5.69  % (4139448)Instruction limit reached! 
% 36.74/5.69  % (4139448)------------------------------
% 36.74/5.69  % (4139448)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139448)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139448)Termination reason: Instruction limit
% 36.74/5.69  % (4139448)Termination phase: Saturation
% 36.74/5.69  % (4139448)Time elapsed: 0.729 s
% 36.74/5.69  % (4139448)Peak memory usage: 25 MB
% 36.74/5.69  % (4139448)Instructions burned: 1180 (million)
% 36.74/5.69  % (4139460)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=710297924:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 36.74/5.69  % (4139454)Instruction limit reached! 
% 36.74/5.69  % (4139454)------------------------------
% 36.74/5.69  % (4139454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139454)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139454)Termination reason: Instruction limit
% 36.74/5.69  % (4139454)Termination phase: Saturation
% 36.74/5.69  % (4139454)Time elapsed: 0.492 s
% 36.74/5.69  % (4139454)Peak memory usage: 21 MB
% 36.74/5.69  % (4139454)Instructions burned: 880 (million)
% 36.74/5.69  % (4139462)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3636831201:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 36.74/5.69  % TRYING [8]
% 36.74/5.69  % TRYING [4]
% 36.74/5.69  % (4139460)Instruction limit reached! 
% 36.74/5.69  % (4139460)------------------------------
% 36.74/5.69  % (4139460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139460)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139460)Termination reason: Instruction limit
% 36.74/5.69  % (4139460)Termination phase: Finite model building constraint generation
% 36.74/5.69  % (4139460)Time elapsed: 0.325 s
% 36.74/5.69  % (4139460)Peak memory usage: 62 MB
% 36.74/5.69  % (4139460)Instructions burned: 923 (million)
% 36.74/5.69  % (4139464)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4144569051:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 36.74/5.69  % (4139464)Instruction limit reached! 
% 36.74/5.69  % (4139464)------------------------------
% 36.74/5.69  % (4139464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139464)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139464)Termination reason: Instruction limit
% 36.74/5.69  % (4139464)Termination phase: Saturation
% 36.74/5.69  % (4139464)Time elapsed: 0.748 s
% 36.74/5.69  % (4139464)Peak memory usage: 26 MB
% 36.74/5.69  % (4139464)Instructions burned: 1472 (million)
% 36.74/5.69  % (4139466)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3965601149:i=6324_2977 on theBenchmark for (2977ds/6324Mi)
% 36.74/5.69  % (4139466)Cannot represent all propositional literals internally
% 36.74/5.69  % (4139466)Refutation not found, incomplete strategy
% 36.74/5.69  % (4139466)------------------------------
% 36.74/5.69  % (4139466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139466)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139466)Termination reason: Refutation not found, incomplete strategy
% 36.74/5.69  % (4139466)Time elapsed: 0.060 s
% 36.74/5.69  % (4139466)Peak memory usage: 13 MB
% 36.74/5.69  % (4139466)Instructions burned: 116 (million)
% 36.74/5.69  % (4139466)------------------------------
% 36.74/5.69  % (4139466)------------------------------
% 36.74/5.69  % (4139468)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=926533553:fmbsr=2.30978:i=2174_2976 on theBenchmark for (2976ds/2174Mi)
% 36.74/5.69  % TRYING [5]
% 36.74/5.69  % TRYING [16]
% 36.74/5.69  % TRYING [6]
% 36.74/5.69  % (4139468)Instruction limit reached! 
% 36.74/5.69  % (4139468)------------------------------
% 36.74/5.69  % (4139468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139468)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139468)Termination reason: Instruction limit
% 36.74/5.69  % (4139468)Termination phase: Finite model building constraint generation
% 36.74/5.69  % (4139468)Time elapsed: 0.837 s
% 36.74/5.69  % (4139468)Peak memory usage: 119 MB
% 36.74/5.69  % (4139468)Instructions burned: 2174 (million)
% 36.74/5.69  % (4139470)ott-2_1_sil=16000:newcnf=on:random_seed=1078857260:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2967 on theBenchmark for (2967ds/869Mi)
% 36.74/5.69  % (4139470)Instruction limit reached! 
% 36.74/5.69  % (4139470)------------------------------
% 36.74/5.69  % (4139470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139470)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139470)Termination reason: Instruction limit
% 36.74/5.69  % (4139470)Termination phase: Saturation
% 36.74/5.69  % (4139470)Time elapsed: 0.492 s
% 36.74/5.69  % (4139470)Peak memory usage: 21 MB
% 36.74/5.69  % (4139470)Instructions burned: 869 (million)
% 36.74/5.69  % (4139472)ott+10_1_sil=32000:tgt=ground:random_seed=3716016924:i=5114:av=off_2962 on theBenchmark for (2962ds/5114Mi)
% 36.74/5.69  % (4139462)Instruction limit reached! 
% 36.74/5.69  % (4139462)------------------------------
% 36.74/5.69  % (4139462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139462)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139462)Termination reason: Instruction limit
% 36.74/5.69  % (4139462)Termination phase: Saturation
% 36.74/5.69  % (4139462)Time elapsed: 3.058 s
% 36.74/5.69  % (4139462)Peak memory usage: 44 MB
% 36.74/5.69  % (4139462)Instructions burned: 5131 (million)
% 36.74/5.69  % (4139474)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=101980138:i=54282_2957 on theBenchmark for (2957ds/54282Mi)
% 36.74/5.69  % TRYING [1]
% 36.74/5.69  % TRYING [2]
% 36.74/5.69  % TRYING [3]
% 36.74/5.69  % (4139458)Instruction limit reached! 
% 36.74/5.69  % (4139458)------------------------------
% 36.74/5.69  % (4139458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139458)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139458)Termination reason: Instruction limit
% 36.74/5.69  % (4139458)Termination phase: Finite model building constraint generation
% 36.74/5.69  % (4139458)Time elapsed: 3.383 s
% 36.74/5.69  % (4139458)Peak memory usage: 615 MB
% 36.74/5.69  % (4139458)Instructions burned: 9517 (million)
% 36.74/5.69  % (4139476)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4255871186:i=3512:aac=none_2954 on theBenchmark for (2954ds/3512Mi)
% 36.74/5.69  % TRYING [4]
% 36.74/5.69  % (4139472) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4139417-4139472"...
% 36.74/5.69  % (4139472)...printing done.
% 36.74/5.69  % TRYING [5]
% 36.74/5.69  % (4139472)Refutation found. Thanks to Tanya!
% 36.74/5.69  % SZS status Theorem for theBenchmark
% 36.74/5.69  % SZS output start Proof for theBenchmark
% See solution above
% 36.74/5.69  % (4139472)------------------------------
% 36.74/5.69  % (4139472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 36.74/5.69  % (4139472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.74/5.69  % (4139472)CaDiCaL version: 2.1.3
% 36.74/5.69  % (4139472)Termination reason: Refutation
% 36.74/5.69  % (4139472)Time elapsed: 1.447 s
% 36.74/5.69  % (4139472)Peak memory usage: 37 MB
% 36.74/5.69  % (4139472)Instructions burned: 2298 (million)
% 36.74/5.69  % (4139417)Success in time 5.278 s
% 36.74/5.69  % Vampire exiting
%------------------------------------------------------------------------------