%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL012-1 : 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 : n022.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 15:52:26 EDT 2022

% Result   : Unsatisfiable 1.52s 0.56s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   7 unt;   0 def)
%            Number of atoms       :    7 (   6 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   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   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,plain,
    $false,
    inference(equality_resolution,[],[f15]) ).

fof(f15,plain,
    ! [X0] : apply(apply(X0,X0),combinator) != apply(apply(u,X0),combinator),
    inference(superposition,[],[f4,f7]) ).

fof(f7,plain,
    ! [X0] : sF0(apply(apply(X0,X0),combinator)) = apply(apply(u,X0),combinator),
    inference(superposition,[],[f1,f3]) ).

fof(f3,plain,
    ! [X1] : apply(combinator,X1) = sF0(X1),
    introduced(function_definition,[]) ).

fof(f1,axiom,
    ! [X0,X1] : apply(apply(u,X0),X1) = apply(X1,apply(apply(X0,X0),X1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_definition) ).

fof(f4,plain,
    ! [X1] : sF0(X1) != X1,
    inference(definition_folding,[],[f2,f3]) ).

fof(f2,axiom,
    ! [X1] : apply(combinator,X1) != X1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COL012-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 16:41:26 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 1.52/0.56  % (32316)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 1.52/0.56  % (32316)First to succeed.
% 1.52/0.56  % (32316)Refutation found. Thanks to Tanya!
% 1.52/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.52/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.56  % (32316)------------------------------
% 1.52/0.56  % (32316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56  % (32316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56  % (32316)Termination reason: Refutation
% 1.52/0.56  
% 1.52/0.56  % (32316)Memory used [KB]: 5373
% 1.52/0.56  % (32316)Time elapsed: 0.147 s
% 1.52/0.56  % (32316)Instructions burned: 4 (million)
% 1.52/0.56  % (32316)------------------------------
% 1.52/0.56  % (32316)------------------------------
% 1.52/0.56  % (32302)Success in time 0.212 s
%------------------------------------------------------------------------------