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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU003+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 12:47:02 PM UTC 2026

% Result   : Theorem 1.82s 1.30s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   57 (  15 unt;   0 def)
%            Number of atoms       :  250 (  34 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  311 ( 118   ~; 119   |;  53   &)
%                                         (  11 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :  108 (  93   !;  15   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f5,axiom,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( in(X3,relation_dom(X0))
                  & X2 = apply(X0,X3) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).

fof(f27,axiom,
    ! [X0,X1] : subset(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( ( relation(X1)
        & function(X1) )
     => ! [X2] :
          ( ( relation(X2)
            & function(X2) )
         => ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(X0,relation_dom(X2))
              & in(apply(X2,X0),relation_dom(X1)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).

fof(f30,conjecture,
    ! [X0] :
      ( ( relation(X0)
        & function(X0) )
     => ! [X1] :
          ( ( relation(X1)
            & function(X1) )
         => ( relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
           => subset(relation_rng(X1),relation_dom(X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_funct_1) ).

fof(f31,negated_conjecture,
    ~ ! [X0] :
        ( ( relation(X0)
          & function(X0) )
       => ! [X1] :
            ( ( relation(X1)
              & function(X1) )
           => ( relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
             => subset(relation_rng(X1),relation_dom(X0)) ) ) ),
    inference(negated_conjecture,[status(cth)],[f30]) ).

fof(f39,plain,
    ! [X0] : subset(X0,X0),
    inference(rectify,[],[f27]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f46,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( in(X3,relation_dom(X0))
                  & X2 = apply(X0,X3) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X0] :
      ( ! [X1] :
          ( X1 = relation_rng(X0)
        <=> ! [X2] :
              ( in(X2,X1)
            <=> ? [X3] :
                  ( in(X3,relation_dom(X0))
                  & X2 = apply(X0,X3) ) ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(flattening,[],[f46]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(X0,relation_dom(X2))
              & in(apply(X2,X0),relation_dom(X1)) ) )
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f65,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( in(X0,relation_dom(relation_composition(X2,X1)))
          <=> ( in(X0,relation_dom(X2))
              & in(apply(X2,X0),relation_dom(X1)) ) )
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(flattening,[],[f64]) ).

fof(f66,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ subset(relation_rng(X1),relation_dom(X0))
          & relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
          & relation(X1)
          & function(X1) )
      & relation(X0)
      & function(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f67,plain,
    ? [X0] :
      ( ? [X1] :
          ( ~ subset(relation_rng(X1),relation_dom(X0))
          & relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
          & relation(X1)
          & function(X1) )
      & relation(X0)
      & function(X0) ),
    inference(flattening,[],[f66]) ).

fof(f76,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,[],[f45]) ).

fof(f77,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,[],[f76]) ).

fof(f78,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))],[f77]) ).

fof(f79,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ? [X2] :
                ( ( ! [X3] :
                      ( ~ in(X3,relation_dom(X0))
                      | apply(X0,X3) != X2 )
                  | ~ in(X2,X1) )
                & ( ? [X3] :
                      ( in(X3,relation_dom(X0))
                      & X2 = apply(X0,X3) )
                  | in(X2,X1) ) ) )
          & ( ! [X2] :
                ( ( in(X2,X1)
                  | ! [X3] :
                      ( ~ in(X3,relation_dom(X0))
                      | apply(X0,X3) != X2 ) )
                & ( ? [X3] :
                      ( in(X3,relation_dom(X0))
                      & X2 = apply(X0,X3) )
                  | ~ in(X2,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(nnf_transformation,[],[f47]) ).

fof(f80,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ? [X2] :
                ( ( ! [X3] :
                      ( ~ in(X3,relation_dom(X0))
                      | apply(X0,X3) != X2 )
                  | ~ in(X2,X1) )
                & ( ? [X4] :
                      ( in(X4,relation_dom(X0))
                      & apply(X0,X4) = X2 )
                  | in(X2,X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( ~ in(X6,relation_dom(X0))
                      | apply(X0,X6) != X5 ) )
                & ( ? [X7] :
                      ( in(X7,relation_dom(X0))
                      & apply(X0,X7) = X5 )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(rectify,[],[f79]) ).

fof(f81,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( X1 = relation_rng(X0)
            | ( ( ! [X3] :
                    ( ~ in(X3,relation_dom(X0))
                    | apply(X0,X3) != sK1(X0,X1) )
                | ~ in(sK1(X0,X1),X1) )
              & ( ( in(sK2(X0,X1),relation_dom(X0))
                  & sK1(X0,X1) = apply(X0,sK2(X0,X1)) )
                | in(sK1(X0,X1),X1) ) ) )
          & ( ! [X5] :
                ( ( in(X5,X1)
                  | ! [X6] :
                      ( ~ in(X6,relation_dom(X0))
                      | apply(X0,X6) != X5 ) )
                & ( ( in(sK3(X0,X5),relation_dom(X0))
                    & apply(X0,sK3(X0,X5)) = X5 )
                  | ~ in(X5,X1) ) )
            | relation_rng(X0) != X1 ) )
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f80]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
              | ~ in(X0,relation_dom(X2))
              | ~ in(apply(X2,X0),relation_dom(X1)) )
            & ( ( in(X0,relation_dom(X2))
                & in(apply(X2,X0),relation_dom(X1)) )
              | ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(nnf_transformation,[],[f65]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
              | ~ in(X0,relation_dom(X2))
              | ~ in(apply(X2,X0),relation_dom(X1)) )
            & ( ( in(X0,relation_dom(X2))
                & in(apply(X2,X0),relation_dom(X1)) )
              | ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
          | ~ relation(X2)
          | ~ function(X2) )
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(flattening,[],[f91]) ).

fof(f93,plain,
    ( ~ subset(relation_rng(sK14),relation_dom(sK13))
    & relation_dom(sK14) = relation_dom(relation_composition(sK14,sK13))
    & relation(sK14)
    & function(sK14)
    & relation(sK13)
    & function(sK13) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f67]) ).

fof(f98,plain,
    ! [X3,X0,X1] :
      ( ~ in(X3,X0)
      | in(X3,X1)
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( in(sK0(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( ~ in(sK0(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f101,plain,
    ! [X0,X1,X5] :
      ( apply(X0,sK3(X0,X5)) = X5
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f102,plain,
    ! [X0,X1,X5] :
      ( in(sK3(X0,X5),relation_dom(X0))
      | ~ in(X5,X1)
      | relation_rng(X0) != X1
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f140,plain,
    ! [X0] : subset(X0,X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f142,plain,
    ! [X2,X0,X1] :
      ( ~ in(X0,relation_dom(relation_composition(X2,X1)))
      | in(apply(X2,X0),relation_dom(X1))
      | ~ relation(X2)
      | ~ function(X2)
      | ~ relation(X1)
      | ~ function(X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f145,plain,
    function(sK13),
    inference(cnf_transformation,[],[f93]) ).

fof(f146,plain,
    relation(sK13),
    inference(cnf_transformation,[],[f93]) ).

fof(f147,plain,
    function(sK14),
    inference(cnf_transformation,[],[f93]) ).

fof(f148,plain,
    relation(sK14),
    inference(cnf_transformation,[],[f93]) ).

fof(f149,plain,
    relation_dom(sK14) = relation_dom(relation_composition(sK14,sK13)),
    inference(cnf_transformation,[],[f93]) ).

fof(f150,plain,
    ~ subset(relation_rng(sK14),relation_dom(sK13)),
    inference(cnf_transformation,[],[f93]) ).

fof(f161,plain,
    ! [X0,X5] :
      ( ~ in(X5,relation_rng(X0))
      | in(sK3(X0,X5),relation_dom(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(equality_resolution,[],[f102]) ).

fof(f162,plain,
    ! [X0,X5] :
      ( apply(X0,sK3(X0,X5)) = X5
      | ~ in(X5,relation_rng(X0))
      | ~ relation(X0)
      | ~ function(X0) ),
    inference(equality_resolution,[],[f101]) ).

fof(f227,plain,
    ! [X2,X0,X1] :
      ( subset(X0,X1)
      | ~ subset(X0,X2)
      | in(sK0(X0,X1),X2) ),
    inference(resolution,[],[f98,f99]) ).

fof(f235,plain,
    ! [X0,X1] :
      ( subset(relation_rng(X0),X1)
      | ~ relation(X0)
      | ~ function(X0)
      | in(sK3(X0,sK0(relation_rng(X0),X1)),relation_dom(X0)) ),
    inference(resolution,[],[f161,f99]) ).

fof(f281,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK14))
      | in(apply(sK14,X0),relation_dom(sK13))
      | ~ relation(sK14)
      | ~ function(sK14)
      | ~ relation(sK13)
      | ~ function(sK13) ),
    inference(superposition,[],[f142,f149]) ).

fof(f282,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK14))
      | in(apply(sK14,X0),relation_dom(sK13))
      | ~ function(sK14)
      | ~ relation(sK13)
      | ~ function(sK13) ),
    inference(forward_subsumption_resolution,[],[f281,f148]) ).

fof(f284,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK14))
      | in(apply(sK14,X0),relation_dom(sK13))
      | ~ relation(sK13)
      | ~ function(sK13) ),
    inference(forward_subsumption_resolution,[],[f282,f147]) ).

fof(f286,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK14))
      | in(apply(sK14,X0),relation_dom(sK13))
      | ~ function(sK13) ),
    inference(forward_subsumption_resolution,[],[f284,f146]) ).

fof(f287,plain,
    ! [X0] :
      ( ~ in(X0,relation_dom(sK14))
      | in(apply(sK14,X0),relation_dom(sK13)) ),
    inference(forward_subsumption_resolution,[],[f286,f145]) ).

fof(f502,plain,
    ! [X0] :
      ( ~ subset(relation_rng(sK14),X0)
      | in(sK0(relation_rng(sK14),relation_dom(sK13)),X0) ),
    inference(resolution,[],[f227,f150]) ).

fof(f527,plain,
    in(sK0(relation_rng(sK14),relation_dom(sK13)),relation_rng(sK14)),
    inference(resolution,[],[f502,f140]) ).

fof(f531,plain,
    ( ~ relation(sK14)
    | ~ function(sK14)
    | in(sK3(sK14,sK0(relation_rng(sK14),relation_dom(sK13))),relation_dom(sK14)) ),
    inference(resolution,[],[f235,f150]) ).

fof(f537,plain,
    ( ~ function(sK14)
    | in(sK3(sK14,sK0(relation_rng(sK14),relation_dom(sK13))),relation_dom(sK14)) ),
    inference(forward_subsumption_resolution,[],[f531,f148]) ).

fof(f539,plain,
    in(sK3(sK14,sK0(relation_rng(sK14),relation_dom(sK13))),relation_dom(sK14)),
    inference(forward_subsumption_resolution,[],[f537,f147]) ).

fof(f569,plain,
    in(apply(sK14,sK3(sK14,sK0(relation_rng(sK14),relation_dom(sK13)))),relation_dom(sK13)),
    inference(resolution,[],[f539,f287]) ).

fof(f643,plain,
    ( in(sK0(relation_rng(sK14),relation_dom(sK13)),relation_dom(sK13))
    | ~ in(sK0(relation_rng(sK14),relation_dom(sK13)),relation_rng(sK14))
    | ~ relation(sK14)
    | ~ function(sK14) ),
    inference(superposition,[],[f569,f162]) ).

fof(f644,plain,
    ( in(sK0(relation_rng(sK14),relation_dom(sK13)),relation_dom(sK13))
    | ~ relation(sK14)
    | ~ function(sK14) ),
    inference(forward_subsumption_resolution,[],[f643,f527]) ).

fof(f646,plain,
    ( in(sK0(relation_rng(sK14),relation_dom(sK13)),relation_dom(sK13))
    | ~ function(sK14) ),
    inference(forward_subsumption_resolution,[],[f644,f148]) ).

fof(f648,plain,
    in(sK0(relation_rng(sK14),relation_dom(sK13)),relation_dom(sK13)),
    inference(forward_subsumption_resolution,[],[f646,f147]) ).

fof(f667,plain,
    subset(relation_rng(sK14),relation_dom(sK13)),
    inference(resolution,[],[f648,f100]) ).

fof(f672,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f667,f150]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU003+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n019.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Mon Sep 28 03:22:03 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.82/1.30  % (3631332)Detected formulas, will run a generic FOF schedule.
% 1.82/1.30  % (3631341)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3111711826:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.82/1.30  % (3631341)Instruction limit reached! 
% 1.82/1.30  % (3631341)------------------------------
% 1.82/1.30  % (3631341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.82/1.30  % (3631341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/1.30  % (3631341)CaDiCaL version: 2.1.3
% 1.82/1.30  % (3631341)Termination reason: Instruction limit
% 1.82/1.30  % (3631341)Termination phase: Saturation
% 1.82/1.30  % (3631341)Time elapsed: 0.029 s
% 1.82/1.30  % (3631341)Peak memory usage: 88 MB
% 1.82/1.30  % (3631341)Instructions burned: 120 (million)
% 1.82/1.30  % (3631342)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3757088263:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.82/1.30  % (3631338)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3374486672:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.82/1.30  % (3631343)dis-21_1_sil=8000:lcm=predicate:random_seed=188633686:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.82/1.30  % (3631337)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=861996043:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.82/1.30  % (3631340)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=669697681:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.82/1.30  % (3631339)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2616990188:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.82/1.30  % (3631340)Refutation not found, incomplete strategy
% 1.82/1.30  % (3631340)------------------------------
% 1.82/1.30  % (3631340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.82/1.30  % (3631340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/1.30  % (3631340)CaDiCaL version: 2.1.3
% 1.82/1.30  % (3631340)Termination reason: Refutation not found, incomplete strategy
% 1.82/1.30  % (3631340)Time elapsed: 0.003 s
% 1.82/1.30  % (3631340)Peak memory usage: 88 MB
% 1.82/1.30  % (3631340)Instructions burned: 2 (million)
% 1.82/1.30  % (3631342)First to succeed.
% 1.82/1.30  % (3631342)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3631332"
% 1.82/1.30  % (3631343)Instruction limit reached! 
% 1.82/1.30  % (3631343)------------------------------
% 1.82/1.30  % (3631343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.82/1.30  % (3631343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.82/1.30  % (3631343)CaDiCaL version: 2.1.3
% 1.82/1.30  % (3631343)Termination reason: Instruction limit
% 1.82/1.30  % (3631343)Termination phase: Saturation
% 1.82/1.30  % (3631343)Time elapsed: 0.074 s
% 1.82/1.30  % (3631343)Peak memory usage: 90 MB
% 1.82/1.30  % (3631343)Instructions burned: 130 (million)
% 1.82/1.30  % (3631345)lrs+10_1_sil=8000:sp=occurrence:random_seed=2158457374:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.82/1.30  % (3631345)Also succeeded, but the first one will report.
% 1.82/1.30  % (3631340)------------------------------
% 1.82/1.30  % (3631340)------------------------------
% 1.82/1.30  % (3631352)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2410744130:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.82/1.30  % (3631342)Refutation found. Thanks to Tanya!
% 1.82/1.30  % SZS status Theorem for theBenchmark
% 1.82/1.30  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.50  % (3631342)------------------------------
% 0.16/1.50  % (3631342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50  % (3631342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50  % (3631342)CaDiCaL version: 2.1.3
% 0.16/1.50  % (3631342)Termination reason: Refutation
% 0.16/1.50  % (3631342)Time elapsed: 0.020 s
% 0.16/1.50  % (3631342)Peak memory usage: 89 MB
% 0.16/1.50  % (3631342)Instructions burned: 25 (million)
% 0.16/1.50  % (3631342)------------------------------
% 0.16/1.50  % (3631342)------------------------------
% 0.16/1.50  % (3631332)Success in time 0.451 s
% 0.16/1.50  % Vampire exiting
%------------------------------------------------------------------------------