%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM878_1 : TPTP v8.1.0. Released v5.0.0.
% 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 : n006.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 18:07:06 EDT 2022

% Result   : Theorem 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   9 unt;   1 typ;   0 def)
%            Number of atoms       :    9 (   8 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   16 (   0 atm;   6 fun;   3 num;   7 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   1 usr;   1 con; 0-2 aty)
%            Number of variables   :    7 (   5   !;   2   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_5,type,
    sF0: $int > $int ).

tff(f31,plain,
    $false,
    inference(subsumption_resolution,[],[f27,f25]) ).

tff(f25,plain,
    ! [X0: $int] : ( sF0(X0) != X0 ),
    inference(definition_folding,[],[f22,f24]) ).

tff(f24,plain,
    ! [X0: $int] : ( $product(X0,X0) = sF0(X0) ),
    introduced(function_definition,[]) ).

tff(f22,plain,
    ! [X0: $int] : ( $product(X0,X0) != X0 ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $int] : ( $product(X0,X0) != X0 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : ( $product(X0,X0) = X0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : ( $product(X0,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_idempotent_element) ).

tff(f27,plain,
    sF0(1) = 1,
    inference(superposition,[],[f24,f16]) ).

tff(f16,plain,
    ! [X0: $int] : ( $product(X0,1) = X0 ),
    introduced(theory_axiom_142,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUM878=1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33  % Computer : n006.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 09:08:25 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.18/0.46  % (7393)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.18/0.46  % (7393)First to succeed.
% 0.18/0.47  % (7393)Refutation found. Thanks to Tanya!
% 0.18/0.47  % SZS status Theorem for theBenchmark
% 0.18/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47  % (7393)------------------------------
% 0.18/0.47  % (7393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (7393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (7393)Termination reason: Refutation
% 0.18/0.47  
% 0.18/0.47  % (7393)Memory used [KB]: 5373
% 0.18/0.47  % (7393)Time elapsed: 0.086 s
% 0.18/0.47  % (7393)Instructions burned: 2 (million)
% 0.18/0.47  % (7393)------------------------------
% 0.18/0.47  % (7393)------------------------------
% 0.18/0.47  % (7378)Success in time 0.129 s
%------------------------------------------------------------------------------