TSTP Solution File: SEU161+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU161+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n018.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 18:32:14 EDT 2022

% Result   : Theorem 0.20s 0.56s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   4 unt;   0 def)
%            Number of atoms       :   28 (  14 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   24 (  11   ~;   3   |;   5   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (  14   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f30,plain,
    $false,
    inference(subsumption_resolution,[],[f29,f21]) ).

fof(f21,plain,
    sK1 != set_union2(singleton(sK0),sK1),
    inference(cnf_transformation,[],[f18]) ).

fof(f18,plain,
    ( in(sK0,sK1)
    & sK1 != set_union2(singleton(sK0),sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f16,f17]) ).

fof(f17,plain,
    ( ? [X0,X1] :
        ( in(X0,X1)
        & set_union2(singleton(X0),X1) != X1 )
   => ( in(sK0,sK1)
      & sK1 != set_union2(singleton(sK0),sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ? [X0,X1] :
      ( in(X0,X1)
      & set_union2(singleton(X0),X1) != X1 ),
    inference(rectify,[],[f12]) ).

fof(f12,plain,
    ? [X1,X0] :
      ( in(X1,X0)
      & set_union2(singleton(X1),X0) != X0 ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,plain,
    ~ ! [X0,X1] :
        ( in(X1,X0)
       => set_union2(singleton(X1),X0) = X0 ),
    inference(rectify,[],[f7]) ).

fof(f7,negated_conjecture,
    ~ ! [X1,X0] :
        ( in(X0,X1)
       => set_union2(singleton(X0),X1) = X1 ),
    inference(negated_conjecture,[],[f6]) ).

fof(f6,conjecture,
    ! [X1,X0] :
      ( in(X0,X1)
     => set_union2(singleton(X0),X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_zfmisc_1) ).

fof(f29,plain,
    sK1 = set_union2(singleton(sK0),sK1),
    inference(resolution,[],[f20,f22]) ).

fof(f22,plain,
    in(sK0,sK1),
    inference(cnf_transformation,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | set_union2(singleton(X1),X0) = X0 ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ! [X0,X1] :
      ( set_union2(singleton(X1),X0) = X0
      | ~ in(X1,X0) ),
    inference(rectify,[],[f13]) ).

fof(f13,plain,
    ! [X1,X0] :
      ( set_union2(singleton(X0),X1) = X1
      | ~ in(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X1,X0] :
      ( in(X0,X1)
     => set_union2(singleton(X0),X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_zfmisc_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU161+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 14:47:10 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.54  % (5699)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (5691)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (5707)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (5690)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (5691)Instruction limit reached!
% 0.20/0.55  % (5691)------------------------------
% 0.20/0.55  % (5691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (5691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (5691)Termination reason: Unknown
% 0.20/0.55  % (5691)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (5691)Memory used [KB]: 5373
% 0.20/0.55  % (5691)Time elapsed: 0.118 s
% 0.20/0.55  % (5691)Instructions burned: 2 (million)
% 0.20/0.55  % (5691)------------------------------
% 0.20/0.55  % (5691)------------------------------
% 0.20/0.55  % (5699)First to succeed.
% 0.20/0.55  % (5689)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55  TRYING [1]
% 0.20/0.55  TRYING [2]
% 0.20/0.55  TRYING [3]
% 0.20/0.56  % (5699)Refutation found. Thanks to Tanya!
% 0.20/0.56  % SZS status Theorem for theBenchmark
% 0.20/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56  % (5699)------------------------------
% 0.20/0.56  % (5699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (5699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (5699)Termination reason: Refutation
% 0.20/0.56  
% 0.20/0.56  % (5699)Memory used [KB]: 5373
% 0.20/0.56  % (5699)Time elapsed: 0.133 s
% 0.20/0.56  % (5699)Instructions burned: 2 (million)
% 0.20/0.56  % (5699)------------------------------
% 0.20/0.56  % (5699)------------------------------
% 0.20/0.56  % (5682)Success in time 0.189 s
%------------------------------------------------------------------------------