%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : CAT003-4 : TPTP v8.1.0. Released v1.0.0.
% 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 : n029.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 15:50:39 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   5   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f39,plain,
    $false,
    inference(subsumption_resolution,[],[f38,f16]) ).

fof(f16,axiom,
    h != g,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_g_equals_h) ).

fof(f38,plain,
    h = g,
    inference(equality_resolution,[],[f27]) ).

fof(f27,plain,
    ! [X3] :
      ( compose(X3,compose(a,b)) != compose(h,compose(a,b))
      | g = X3 ),
    inference(superposition,[],[f17,f19]) ).

fof(f19,plain,
    ! [X0] : compose(h,compose(a,X0)) = compose(g,compose(a,X0)),
    inference(forward_demodulation,[],[f18,f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_compose) ).

fof(f18,plain,
    ! [X0] : compose(g,compose(a,X0)) = compose(compose(h,a),X0),
    inference(superposition,[],[f9,f15]) ).

fof(f15,axiom,
    compose(h,a) = compose(g,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ha_equals_ga) ).

fof(f17,plain,
    ! [X2,X0] :
      ( compose(X0,compose(a,b)) != compose(X2,compose(a,b))
      | X0 = X2 ),
    inference(equality_resolution,[],[f13]) ).

fof(f13,axiom,
    ! [X2,X0,X1] :
      ( compose(X2,compose(a,b)) != X1
      | X0 = X2
      | compose(X0,compose(a,b)) != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',epimorphism) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : CAT003-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n029.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   : Mon Aug 29 16:25:56 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.47  % (4985)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.48  % (4993)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.49  % (4985)First to succeed.
% 0.20/0.49  % (4985)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (4985)------------------------------
% 0.20/0.49  % (4985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (4985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (4985)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (4985)Memory used [KB]: 5756
% 0.20/0.49  % (4985)Time elapsed: 0.077 s
% 0.20/0.49  % (4985)Instructions burned: 2 (million)
% 0.20/0.49  % (4985)------------------------------
% 0.20/0.49  % (4985)------------------------------
% 0.20/0.49  % (4977)Success in time 0.133 s
%------------------------------------------------------------------------------