%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : CAT013-3 : 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 : n003.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 0.21s 0.57s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   14 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f163,plain,
    $false,
    inference(trivial_inequality_removal,[],[f159]) ).

fof(f159,plain,
    codomain(a) != codomain(a),
    inference(superposition,[],[f19,f138]) ).

fof(f138,plain,
    codomain(a) = domain(codomain(a)),
    inference(resolution,[],[f39,f18]) ).

fof(f18,axiom,
    there_exists(codomain(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_codomain_exists) ).

fof(f39,plain,
    ! [X2] :
      ( ~ there_exists(codomain(X2))
      | domain(codomain(X2)) = codomain(X2) ),
    inference(resolution,[],[f29,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( there_exists(X0)
      | ~ there_exists(codomain(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_has_elements) ).

fof(f29,plain,
    ! [X1] :
      ( ~ there_exists(X1)
      | codomain(X1) = domain(codomain(X1)) ),
    inference(superposition,[],[f7,f11]) ).

fof(f11,axiom,
    ! [X0] : compose(codomain(X0),X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_codomain) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | domain(X0) = codomain(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition1) ).

fof(f19,axiom,
    codomain(a) != domain(codomain(a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_codomain_is_codomain) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CAT013-3 : TPTP v8.1.0. Released v1.0.0.
% 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 : n003.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
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 16:19:22 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.54  % (9715)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56  % (9715)First to succeed.
% 0.21/0.57  % (9731)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.57  % (9707)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.57  % (9715)Refutation found. Thanks to Tanya!
% 0.21/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57  % (9715)------------------------------
% 0.21/0.57  % (9715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (9715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (9715)Termination reason: Refutation
% 0.21/0.57  
% 0.21/0.57  % (9715)Memory used [KB]: 1023
% 0.21/0.57  % (9715)Time elapsed: 0.130 s
% 0.21/0.57  % (9715)Instructions burned: 8 (million)
% 0.21/0.57  % (9715)------------------------------
% 0.21/0.57  % (9715)------------------------------
% 0.21/0.57  % (9705)Success in time 0.218 s
%------------------------------------------------------------------------------