%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CAT014-2 : 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_sat --cores 0 -t %d %s

% Computer : n025.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 15:51:18 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (  10 unt;   0 def)
%            Number of atoms       :   10 (   9 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f28,plain,
    $false,
    inference(subsumption_resolution,[],[f24,f11]) ).

fof(f11,plain,
    sF1 != sF0,
    inference(definition_folding,[],[f8,f10,f9,f9]) ).

fof(f9,plain,
    codomain(a) = sF0,
    introduced(function_definition,[]) ).

fof(f10,plain,
    codomain(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f8,axiom,
    codomain(a) != codomain(codomain(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_is_idempotent) ).

fof(f24,plain,
    sF1 = sF0,
    inference(superposition,[],[f21,f10]) ).

fof(f21,plain,
    codomain(sF0) = sF0,
    inference(superposition,[],[f1,f12]) ).

fof(f12,plain,
    domain(sF0) = sF0,
    inference(superposition,[],[f2,f9]) ).

fof(f2,axiom,
    ! [X0] : codomain(X0) = domain(codomain(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_of_codomain_is_codomain) ).

fof(f1,axiom,
    ! [X0] : domain(X0) = codomain(domain(X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',codomain_of_domain_is_domain) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CAT014-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 16:27:59 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.47  % (25531)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.47  % (25531)First to succeed.
% 0.18/0.48  % (25531)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (25531)------------------------------
% 0.18/0.48  % (25531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (25531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (25531)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (25531)Memory used [KB]: 5373
% 0.18/0.48  % (25531)Time elapsed: 0.078 s
% 0.18/0.48  % (25531)Instructions burned: 2 (million)
% 0.18/0.48  % (25531)------------------------------
% 0.18/0.48  % (25531)------------------------------
% 0.18/0.48  % (25517)Success in time 0.137 s
%------------------------------------------------------------------------------