%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : KLE059+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n013.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 17:29:00 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   22 (  21 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   17 (   9   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   16 (  12   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f79,plain,
    $false,
    inference(trivial_inequality_removal,[],[f78]) ).

fof(f78,plain,
    domain(sK1) != domain(sK1),
    inference(forward_demodulation,[],[f74,f53]) ).

fof(f53,plain,
    sK1 = addition(sK0,sK1),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ( sK1 = addition(sK0,sK1)
    & domain(sK1) != addition(domain(sK0),domain(sK1)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f28,f34]) ).

fof(f34,plain,
    ( ? [X0,X1] :
        ( addition(X0,X1) = X1
        & addition(domain(X0),domain(X1)) != domain(X1) )
   => ( sK1 = addition(sK0,sK1)
      & domain(sK1) != addition(domain(sK0),domain(sK1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f28,plain,
    ? [X0,X1] :
      ( addition(X0,X1) = X1
      & addition(domain(X0),domain(X1)) != domain(X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ~ ! [X1,X0] :
        ( addition(X0,X1) = X1
       => addition(domain(X0),domain(X1)) = domain(X1) ),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X3,X4] :
        ( addition(X3,X4) = X4
       => domain(X4) = addition(domain(X3),domain(X4)) ),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X3,X4] :
      ( addition(X3,X4) = X4
     => domain(X4) = addition(domain(X3),domain(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

fof(f74,plain,
    domain(addition(sK0,sK1)) != domain(sK1),
    inference(superposition,[],[f52,f46]) ).

fof(f46,plain,
    ! [X0,X1] : domain(addition(X1,X0)) = addition(domain(X1),domain(X0)),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,plain,
    ! [X0,X1] : domain(addition(X1,X0)) = addition(domain(X1),domain(X0)),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X4,X3] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain5) ).

fof(f52,plain,
    domain(sK1) != addition(domain(sK0),domain(sK1)),
    inference(cnf_transformation,[],[f35]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : KLE059+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % 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 : n013.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 00:20:47 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  % (17019)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (17008)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 (2999ds/37Mi)
% 0.20/0.51  % (17028)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51  % (17008)First to succeed.
% 0.20/0.51  % (17028)Also succeeded, but the first one will report.
% 0.20/0.51  % (17016)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (17008)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (17008)------------------------------
% 0.20/0.51  % (17008)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (17008)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (17008)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (17008)Memory used [KB]: 895
% 0.20/0.51  % (17008)Time elapsed: 0.102 s
% 0.20/0.51  % (17008)Instructions burned: 3 (million)
% 0.20/0.51  % (17008)------------------------------
% 0.20/0.51  % (17008)------------------------------
% 0.20/0.51  % (17002)Success in time 0.152 s
%------------------------------------------------------------------------------