%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI090_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 : n021.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 15:47:25 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (  11 unt;   3 typ;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   0   |;   1   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   39 (   0 atm;  11 fun;  24 num;   4 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (   3 usr;   7 con; 0-2 aty)
%            Number of variables   :    4 (   3   !;   1   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_8,type,
    sK0: $int ).

tff(func_def_9,type,
    sF1: $int ).

tff(func_def_10,type,
    sF2: $int ).

tff(f28,plain,
    $false,
    inference(trivial_inequality_removal,[],[f27]) ).

tff(f27,plain,
    2 != 2,
    inference(superposition,[],[f17,f25]) ).

tff(f25,plain,
    2 = sK0,
    inference(superposition,[],[f24,f21]) ).

tff(f21,plain,
    sF2 = sK0,
    inference(definition_folding,[],[f18,f20,f19]) ).

tff(f19,plain,
    sF1 = $uminus(3),
    introduced(function_definition,[]) ).

tff(f20,plain,
    sF2 = $sum(5,sF1),
    introduced(function_definition,[]) ).

tff(f18,plain,
    $sum(5,$uminus(3)) = sK0,
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ? [X0: $int] :
      ( ( $sum(5,$uminus(3)) = X0 )
      & ( 2 != X0 ) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ! [X0: $int] :
        ( ( $sum(5,$uminus(3)) = X0 )
       => ( 2 = X0 ) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int] :
        ( ( $difference(5,3) = X0 )
       => ( 2 = X0 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int] :
      ( ( $difference(5,3) = X0 )
     => ( 2 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diff_5_3_only_2) ).

tff(f24,plain,
    2 = sF2,
    inference(evaluation,[],[f23]) ).

tff(f23,plain,
    $sum(5,-3) = sF2,
    inference(superposition,[],[f20,f22]) ).

tff(f22,plain,
    sF1 = -3,
    inference(evaluation,[],[f19]) ).

tff(f17,plain,
    2 != sK0,
    inference(cnf_transformation,[],[f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI090=1 : TPTP v8.1.0. Released v5.0.0.
% 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
% 0.13/0.34  % Computer : n021.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
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 15:17:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (693)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.49  % (701)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.49  % (718)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.49  % (693)First to succeed.
% 0.19/0.49  % (693)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (693)------------------------------
% 0.19/0.49  % (693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (693)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (693)Memory used [KB]: 5373
% 0.19/0.49  % (693)Time elapsed: 0.097 s
% 0.19/0.49  % (693)Instructions burned: 2 (million)
% 0.19/0.49  % (693)------------------------------
% 0.19/0.49  % (693)------------------------------
% 0.19/0.49  % (687)Success in time 0.145 s
%------------------------------------------------------------------------------