%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI131_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 15:47:31 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  12 unt;   2 typ;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :    1 (   1 fml;   0 var)
%            Number arithmetic     :   32 (   0 atm;  11 fun;  21 num;   0 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    :    7 (   2 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)

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

tff(func_def_6,type,
    sF1: $int ).

tff(f24,plain,
    $false,
    inference(trivial_inequality_removal,[],[f23]) ).

tff(f23,plain,
    0 != 0,
    inference(superposition,[],[f19,f22]) ).

tff(f22,plain,
    0 = sF1,
    inference(evaluation,[],[f21]) ).

tff(f21,plain,
    $sum(-2,2) = sF1,
    inference(forward_demodulation,[],[f18,f20]) ).

tff(f20,plain,
    2 = sF0,
    inference(evaluation,[],[f17]) ).

tff(f17,plain,
    $uminus(-2) = sF0,
    introduced(function_definition,[]) ).

tff(f18,plain,
    $sum(-2,sF0) = sF1,
    introduced(function_definition,[]) ).

tff(f19,plain,
    0 != sF1,
    inference(definition_folding,[],[f16,f18,f17]) ).

tff(f16,plain,
    $sum(-2,$uminus(-2)) != 0,
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    $sum(-2,$uminus(-2)) != 0,
    inference(flattening,[],[f2]) ).

tff(f2,negated_conjecture,
    ( ( ~ $sum(-2,$uminus(-2)) )
    = 0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    $sum(-2,$uminus(-2)) = 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_n2_uminus_to_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI131=1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 15:21:55 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (16904)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.19/0.49  % (16885)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  % (16885)First to succeed.
% 0.19/0.49  % (16885)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  % (16885)------------------------------
% 0.19/0.49  % (16885)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (16885)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (16885)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (16885)Memory used [KB]: 5373
% 0.19/0.49  % (16885)Time elapsed: 0.086 s
% 0.19/0.49  % (16885)Instructions burned: 2 (million)
% 0.19/0.49  % (16885)------------------------------
% 0.19/0.49  % (16885)------------------------------
% 0.19/0.49  % (16881)Success in time 0.145 s
%------------------------------------------------------------------------------