%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU161+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : n023.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 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   5 unt;   0 def)
%            Number of atoms       :   27 (  14 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (  11   ~;   3   |;   5   &)
%                                         (   0 <=>;   4  =>;   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   :   18 (  12   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f57,plain,
    $false,
    inference(trivial_inequality_removal,[],[f52]) ).

fof(f52,plain,
    sK1 != sK1,
    inference(superposition,[],[f38,f49]) ).

fof(f49,plain,
    set_union2(singleton(sK2),sK1) = sK1,
    inference(resolution,[],[f32,f37]) ).

fof(f37,plain,
    in(sK2,sK1),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ( set_union2(singleton(sK2),sK1) != sK1
    & in(sK2,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f25,f26]) ).

fof(f26,plain,
    ( ? [X0,X1] :
        ( set_union2(singleton(X1),X0) != X0
        & in(X1,X0) )
   => ( set_union2(singleton(sK2),sK1) != sK1
      & in(sK2,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f25,plain,
    ? [X0,X1] :
      ( set_union2(singleton(X1),X0) != X0
      & in(X1,X0) ),
    inference(rectify,[],[f19]) ).

fof(f19,plain,
    ? [X1,X0] :
      ( set_union2(singleton(X0),X1) != X1
      & in(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,negated_conjecture,
    ~ ! [X1,X0] :
        ( in(X0,X1)
       => set_union2(singleton(X0),X1) = X1 ),
    inference(negated_conjecture,[],[f8]) ).

fof(f8,conjecture,
    ! [X1,X0] :
      ( in(X0,X1)
     => set_union2(singleton(X0),X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_zfmisc_1) ).

fof(f32,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | set_union2(singleton(X1),X0) = X0 ),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ in(X1,X0)
      | set_union2(singleton(X1),X0) = X0 ),
    inference(rectify,[],[f15]) ).

fof(f15,plain,
    ! [X1,X0] :
      ( ~ in(X0,X1)
      | set_union2(singleton(X0),X1) = X1 ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( in(X0,X1)
     => set_union2(singleton(X0),X1) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l23_zfmisc_1) ).

fof(f38,plain,
    set_union2(singleton(sK2),sK1) != sK1,
    inference(cnf_transformation,[],[f27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEU161+3 : TPTP v8.1.0. Released v3.2.0.
% 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
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 15:04:20 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.50  % (15241)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.50  % (15249)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.51  % (15249)First to succeed.
% 0.19/0.51  % (15249)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (15249)------------------------------
% 0.19/0.51  % (15249)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (15249)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (15249)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (15249)Memory used [KB]: 5373
% 0.19/0.51  % (15249)Time elapsed: 0.106 s
% 0.19/0.51  % (15249)Instructions burned: 2 (million)
% 0.19/0.51  % (15249)------------------------------
% 0.19/0.51  % (15249)------------------------------
% 0.19/0.51  % (15237)Success in time 0.154 s
%------------------------------------------------------------------------------