TSTP Solution File: SET959+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET959+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:22:51 EDT 2022

% Result   : Theorem 0.14s 0.49s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   53 (  11 unt;   0 def)
%            Number of atoms       :  181 (  71 equ)
%            Maximal formula atoms :   18 (   3 avg)
%            Number of connectives :  202 (  74   ~;  70   |;  43   &)
%                                         (   6 <=>;   8  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-2 aty)
%            Number of variables   :  150 ( 108   !;  42   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f197,plain,
    $false,
    inference(unit_resulting_resolution,[],[f38,f191,f196,f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( ~ in(sK8(X0,X1),X1)
      | ~ in(sK8(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ( ( ~ in(sK8(X0,X1),X1)
          | ~ in(sK8(X0,X1),X0) )
        & ( in(sK8(X0,X1),X1)
          | in(sK8(X0,X1),X0) ) )
      | X0 = X1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f30,f31]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) )
     => ( ( ~ in(sK8(X0,X1),X1)
          | ~ in(sK8(X0,X1),X0) )
        & ( in(sK8(X0,X1),X1)
          | in(sK8(X0,X1),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( ( ~ in(X2,X1)
            | ~ in(X2,X0) )
          & ( in(X2,X1)
            | in(X2,X0) ) )
      | X0 = X1 ),
    inference(rectify,[],[f29]) ).

fof(f29,plain,
    ! [X1,X0] :
      ( ? [X2] :
          ( ( ~ in(X2,X0)
            | ~ in(X2,X1) )
          & ( in(X2,X0)
            | in(X2,X1) ) )
      | X0 = X1 ),
    inference(nnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X1,X0] :
      ( ? [X2] :
          ( in(X2,X1)
        <~> in(X2,X0) )
      | X0 = X1 ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X1)
        <=> in(X2,X0) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tarski) ).

fof(f196,plain,
    in(sK8(sK1,sK2),sK2),
    inference(subsumption_resolution,[],[f164,f191]) ).

fof(f164,plain,
    ( in(sK8(sK1,sK2),sK2)
    | ~ in(sK8(sK1,sK2),sK1) ),
    inference(superposition,[],[f59,f160]) ).

fof(f160,plain,
    unordered_pair(singleton(sK3(sK8(sK1,sK2))),unordered_pair(sK3(sK8(sK1,sK2)),sK4(sK8(sK1,sK2)))) = sK8(sK1,sK2),
    inference(subsumption_resolution,[],[f159,f38]) ).

fof(f159,plain,
    ( sK2 = sK1
    | unordered_pair(singleton(sK3(sK8(sK1,sK2))),unordered_pair(sK3(sK8(sK1,sK2)),sK4(sK8(sK1,sK2)))) = sK8(sK1,sK2) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ( sK2 = sK1
    | unordered_pair(singleton(sK3(sK8(sK1,sK2))),unordered_pair(sK3(sK8(sK1,sK2)),sK4(sK8(sK1,sK2)))) = sK8(sK1,sK2)
    | unordered_pair(singleton(sK3(sK8(sK1,sK2))),unordered_pair(sK3(sK8(sK1,sK2)),sK4(sK8(sK1,sK2)))) = sK8(sK1,sK2) ),
    inference(resolution,[],[f134,f53]) ).

fof(f53,plain,
    ! [X0] :
      ( in(sK8(X0,sK2),X0)
      | sK2 = X0
      | unordered_pair(singleton(sK3(sK8(X0,sK2))),unordered_pair(sK3(sK8(X0,sK2)),sK4(sK8(X0,sK2)))) = sK8(X0,sK2) ),
    inference(resolution,[],[f51,f43]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( in(sK8(X0,X1),X1)
      | in(sK8(X0,X1),X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f51,plain,
    ! [X2] :
      ( ~ in(X2,sK2)
      | unordered_pair(singleton(sK3(X2)),unordered_pair(sK3(X2),sK4(X2))) = X2 ),
    inference(forward_demodulation,[],[f47,f45]) ).

fof(f45,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X1,X0] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f47,plain,
    ! [X2] :
      ( ~ in(X2,sK2)
      | unordered_pair(unordered_pair(sK3(X2),sK4(X2)),singleton(sK3(X2))) = X2 ),
    inference(definition_unfolding,[],[f41,f33]) ).

fof(f33,plain,
    ! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
    inference(cnf_transformation,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] : unordered_pair(unordered_pair(X1,X0),singleton(X1)) = ordered_pair(X1,X0),
    inference(rectify,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).

fof(f41,plain,
    ! [X2] :
      ( ~ in(X2,sK2)
      | ordered_pair(sK3(X2),sK4(X2)) = X2 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f26,plain,
    ( ! [X2] :
        ( ~ in(X2,sK2)
        | ordered_pair(sK3(X2),sK4(X2)) = X2 )
    & ! [X5,X6] :
        ( ( in(ordered_pair(X5,X6),sK2)
          | ~ in(ordered_pair(X5,X6),sK1) )
        & ( in(ordered_pair(X5,X6),sK1)
          | ~ in(ordered_pair(X5,X6),sK2) ) )
    & sK2 != sK1
    & ! [X7] :
        ( ~ in(X7,sK1)
        | ordered_pair(sK5(X7),sK6(X7)) = X7 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f22,f25,f24,f23]) ).

fof(f23,plain,
    ( ? [X0,X1] :
        ( ! [X2] :
            ( ~ in(X2,X1)
            | ? [X3,X4] : ordered_pair(X3,X4) = X2 )
        & ! [X5,X6] :
            ( ( in(ordered_pair(X5,X6),X1)
              | ~ in(ordered_pair(X5,X6),X0) )
            & ( in(ordered_pair(X5,X6),X0)
              | ~ in(ordered_pair(X5,X6),X1) ) )
        & X0 != X1
        & ! [X7] :
            ( ~ in(X7,X0)
            | ? [X8,X9] : ordered_pair(X8,X9) = X7 ) )
   => ( ! [X2] :
          ( ~ in(X2,sK2)
          | ? [X3,X4] : ordered_pair(X3,X4) = X2 )
      & ! [X6,X5] :
          ( ( in(ordered_pair(X5,X6),sK2)
            | ~ in(ordered_pair(X5,X6),sK1) )
          & ( in(ordered_pair(X5,X6),sK1)
            | ~ in(ordered_pair(X5,X6),sK2) ) )
      & sK2 != sK1
      & ! [X7] :
          ( ~ in(X7,sK1)
          | ? [X8,X9] : ordered_pair(X8,X9) = X7 ) ) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ! [X2] :
      ( ? [X3,X4] : ordered_pair(X3,X4) = X2
     => ordered_pair(sK3(X2),sK4(X2)) = X2 ),
    introduced(choice_axiom,[]) ).

fof(f25,plain,
    ! [X7] :
      ( ? [X8,X9] : ordered_pair(X8,X9) = X7
     => ordered_pair(sK5(X7),sK6(X7)) = X7 ),
    introduced(choice_axiom,[]) ).

fof(f22,plain,
    ? [X0,X1] :
      ( ! [X2] :
          ( ~ in(X2,X1)
          | ? [X3,X4] : ordered_pair(X3,X4) = X2 )
      & ! [X5,X6] :
          ( ( in(ordered_pair(X5,X6),X1)
            | ~ in(ordered_pair(X5,X6),X0) )
          & ( in(ordered_pair(X5,X6),X0)
            | ~ in(ordered_pair(X5,X6),X1) ) )
      & X0 != X1
      & ! [X7] :
          ( ~ in(X7,X0)
          | ? [X8,X9] : ordered_pair(X8,X9) = X7 ) ),
    inference(rectify,[],[f21]) ).

fof(f21,plain,
    ? [X1,X0] :
      ( ! [X2] :
          ( ~ in(X2,X0)
          | ? [X3,X4] : ordered_pair(X3,X4) = X2 )
      & ! [X9,X8] :
          ( ( in(ordered_pair(X9,X8),X0)
            | ~ in(ordered_pair(X9,X8),X1) )
          & ( in(ordered_pair(X9,X8),X1)
            | ~ in(ordered_pair(X9,X8),X0) ) )
      & X0 != X1
      & ! [X5] :
          ( ~ in(X5,X1)
          | ? [X7,X6] : ordered_pair(X7,X6) = X5 ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f16,plain,
    ? [X1,X0] :
      ( ! [X2] :
          ( ~ in(X2,X0)
          | ? [X3,X4] : ordered_pair(X3,X4) = X2 )
      & ! [X9,X8] :
          ( in(ordered_pair(X9,X8),X0)
        <=> in(ordered_pair(X9,X8),X1) )
      & X0 != X1
      & ! [X5] :
          ( ~ in(X5,X1)
          | ? [X7,X6] : ordered_pair(X7,X6) = X5 ) ),
    inference(flattening,[],[f15]) ).

fof(f15,plain,
    ? [X0,X1] :
      ( X0 != X1
      & ! [X5] :
          ( ~ in(X5,X1)
          | ? [X7,X6] : ordered_pair(X7,X6) = X5 )
      & ! [X9,X8] :
          ( in(ordered_pair(X9,X8),X0)
        <=> in(ordered_pair(X9,X8),X1) )
      & ! [X2] :
          ( ~ in(X2,X0)
          | ? [X3,X4] : ordered_pair(X3,X4) = X2 ) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,plain,
    ~ ! [X0,X1] :
        ( ( ! [X5] :
              ~ ( ! [X6,X7] : ordered_pair(X7,X6) != X5
                & in(X5,X1) )
          & ! [X9,X8] :
              ( in(ordered_pair(X9,X8),X0)
            <=> in(ordered_pair(X9,X8),X1) )
          & ! [X2] :
              ~ ( ! [X4,X3] : ordered_pair(X3,X4) != X2
                & in(X2,X0) ) )
       => X0 = X1 ),
    inference(rectify,[],[f8]) ).

fof(f8,negated_conjecture,
    ~ ! [X1,X0] :
        ( ( ! [X2] :
              ~ ( ! [X4,X3] : ordered_pair(X3,X4) != X2
                & in(X2,X1) )
          & ! [X2] :
              ~ ( ! [X4,X3] : ordered_pair(X3,X4) != X2
                & in(X2,X0) )
          & ! [X3,X2] :
              ( in(ordered_pair(X2,X3),X1)
            <=> in(ordered_pair(X2,X3),X0) ) )
       => X0 = X1 ),
    inference(negated_conjecture,[],[f7]) ).

fof(f7,conjecture,
    ! [X1,X0] :
      ( ( ! [X2] :
            ~ ( ! [X4,X3] : ordered_pair(X3,X4) != X2
              & in(X2,X1) )
        & ! [X2] :
            ~ ( ! [X4,X3] : ordered_pair(X3,X4) != X2
              & in(X2,X0) )
        & ! [X3,X2] :
            ( in(ordered_pair(X2,X3),X1)
          <=> in(ordered_pair(X2,X3),X0) ) )
     => X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t112_zfmisc_1) ).

fof(f134,plain,
    ( ~ in(sK8(sK1,sK2),sK1)
    | unordered_pair(singleton(sK3(sK8(sK1,sK2))),unordered_pair(sK3(sK8(sK1,sK2)),sK4(sK8(sK1,sK2)))) = sK8(sK1,sK2) ),
    inference(subsumption_resolution,[],[f118,f51]) ).

fof(f118,plain,
    ( in(sK8(sK1,sK2),sK2)
    | unordered_pair(singleton(sK3(sK8(sK1,sK2))),unordered_pair(sK3(sK8(sK1,sK2)),sK4(sK8(sK1,sK2)))) = sK8(sK1,sK2)
    | ~ in(sK8(sK1,sK2),sK1) ),
    inference(superposition,[],[f59,f91]) ).

fof(f91,plain,
    ( sK8(sK1,sK2) = unordered_pair(singleton(sK5(sK8(sK1,sK2))),unordered_pair(sK5(sK8(sK1,sK2)),sK6(sK8(sK1,sK2))))
    | unordered_pair(singleton(sK3(sK8(sK1,sK2))),unordered_pair(sK3(sK8(sK1,sK2)),sK4(sK8(sK1,sK2)))) = sK8(sK1,sK2) ),
    inference(subsumption_resolution,[],[f88,f38]) ).

fof(f88,plain,
    ( sK2 = sK1
    | sK8(sK1,sK2) = unordered_pair(singleton(sK5(sK8(sK1,sK2))),unordered_pair(sK5(sK8(sK1,sK2)),sK6(sK8(sK1,sK2))))
    | unordered_pair(singleton(sK3(sK8(sK1,sK2))),unordered_pair(sK3(sK8(sK1,sK2)),sK4(sK8(sK1,sK2)))) = sK8(sK1,sK2) ),
    inference(resolution,[],[f53,f52]) ).

fof(f52,plain,
    ! [X7] :
      ( ~ in(X7,sK1)
      | unordered_pair(singleton(sK5(X7)),unordered_pair(sK5(X7),sK6(X7))) = X7 ),
    inference(forward_demodulation,[],[f50,f45]) ).

fof(f50,plain,
    ! [X7] :
      ( ~ in(X7,sK1)
      | unordered_pair(unordered_pair(sK5(X7),sK6(X7)),singleton(sK5(X7))) = X7 ),
    inference(definition_unfolding,[],[f37,f33]) ).

fof(f37,plain,
    ! [X7] :
      ( ~ in(X7,sK1)
      | ordered_pair(sK5(X7),sK6(X7)) = X7 ),
    inference(cnf_transformation,[],[f26]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK1)
      | in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK2) ),
    inference(superposition,[],[f48,f45]) ).

fof(f48,plain,
    ! [X6,X5] :
      ( ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),sK1)
      | in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),sK2) ),
    inference(definition_unfolding,[],[f40,f33,f33]) ).

fof(f40,plain,
    ! [X6,X5] :
      ( in(ordered_pair(X5,X6),sK2)
      | ~ in(ordered_pair(X5,X6),sK1) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f191,plain,
    in(sK8(sK1,sK2),sK1),
    inference(subsumption_resolution,[],[f190,f38]) ).

fof(f190,plain,
    ( sK2 = sK1
    | in(sK8(sK1,sK2),sK1) ),
    inference(duplicate_literal_removal,[],[f189]) ).

fof(f189,plain,
    ( in(sK8(sK1,sK2),sK1)
    | in(sK8(sK1,sK2),sK1)
    | sK2 = sK1 ),
    inference(resolution,[],[f163,f43]) ).

fof(f163,plain,
    ( ~ in(sK8(sK1,sK2),sK2)
    | in(sK8(sK1,sK2),sK1) ),
    inference(superposition,[],[f63,f160]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK2)
      | in(unordered_pair(singleton(X0),unordered_pair(X0,X1)),sK1) ),
    inference(superposition,[],[f49,f45]) ).

fof(f49,plain,
    ! [X6,X5] :
      ( ~ in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),sK2)
      | in(unordered_pair(unordered_pair(X5,X6),singleton(X5)),sK1) ),
    inference(definition_unfolding,[],[f39,f33,f33]) ).

fof(f39,plain,
    ! [X6,X5] :
      ( in(ordered_pair(X5,X6),sK1)
      | ~ in(ordered_pair(X5,X6),sK2) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f38,plain,
    sK2 != sK1,
    inference(cnf_transformation,[],[f26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SET959+1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.04/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29  % Computer : n008.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Aug 30 14:35:55 EDT 2022
% 0.09/0.30  % CPUTime    : 
% 0.14/0.45  % (25311)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.14/0.46  % (25328)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.14/0.47  % (25329)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.14/0.47  % (25321)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.47  % (25320)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.48  % (25313)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.14/0.48  % (25320)Instruction limit reached!
% 0.14/0.48  % (25320)------------------------------
% 0.14/0.48  % (25320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48  % (25311)Instruction limit reached!
% 0.14/0.48  % (25311)------------------------------
% 0.14/0.48  % (25311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48  % (25320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48  % (25320)Termination reason: Unknown
% 0.14/0.48  % (25320)Termination phase: Saturation
% 0.14/0.48  
% 0.14/0.48  % (25320)Memory used [KB]: 6012
% 0.14/0.48  % (25320)Time elapsed: 0.122 s
% 0.14/0.48  % (25320)Instructions burned: 4 (million)
% 0.14/0.48  % (25320)------------------------------
% 0.14/0.48  % (25320)------------------------------
% 0.14/0.48  % (25321)Instruction limit reached!
% 0.14/0.48  % (25321)------------------------------
% 0.14/0.48  % (25321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48  % (25321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48  % (25311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.48  % (25311)Termination reason: Unknown
% 0.14/0.48  % (25311)Termination phase: Saturation
% 0.14/0.48  
% 0.14/0.48  % (25311)Memory used [KB]: 1535
% 0.14/0.48  % (25311)Time elapsed: 0.132 s
% 0.14/0.48  % (25311)Instructions burned: 15 (million)
% 0.14/0.48  % (25311)------------------------------
% 0.14/0.48  % (25311)------------------------------
% 0.14/0.49  % (25329)First to succeed.
% 0.14/0.49  % (25321)Termination reason: Unknown
% 0.14/0.49  % (25321)Termination phase: Saturation
% 0.14/0.49  
% 0.14/0.49  % (25321)Memory used [KB]: 6012
% 0.14/0.49  % (25321)Time elapsed: 0.068 s
% 0.14/0.49  % (25321)Instructions burned: 7 (million)
% 0.14/0.49  % (25321)------------------------------
% 0.14/0.49  % (25321)------------------------------
% 0.14/0.49  % (25306)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.14/0.49  % (25309)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.49  % (25329)Refutation found. Thanks to Tanya!
% 0.14/0.49  % SZS status Theorem for theBenchmark
% 0.14/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.49  % (25329)------------------------------
% 0.14/0.49  % (25329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.49  % (25329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49  % (25329)Termination reason: Refutation
% 0.14/0.49  
% 0.14/0.49  % (25329)Memory used [KB]: 1663
% 0.14/0.49  % (25329)Time elapsed: 0.077 s
% 0.14/0.49  % (25329)Instructions burned: 13 (million)
% 0.14/0.49  % (25329)------------------------------
% 0.14/0.49  % (25329)------------------------------
% 0.14/0.49  % (25305)Success in time 0.19 s
%------------------------------------------------------------------------------