%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM890_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 : n027.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 18:07:07 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  12 unt;   3 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 :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   27 (   0 atm;  13 fun;  10 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    :    6 (   3 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   3   !;   1   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_4,type,
    sK0: $int ).

tff(func_def_5,type,
    sF1: $int ).

tff(func_def_6,type,
    sF2: $int ).

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

tff(f27,plain,
    0 != 0,
    inference(superposition,[],[f19,f26]) ).

tff(f26,plain,
    0 = sF2,
    inference(superposition,[],[f18,f22]) ).

tff(f22,plain,
    0 = $sum(sK0,sF1),
    inference(superposition,[],[f7,f17]) ).

tff(f17,plain,
    $uminus(sK0) = sF1,
    introduced(function_definition,[]) ).

tff(f7,plain,
    ! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
    introduced(theory_axiom_145,[]) ).

tff(f18,plain,
    sF2 = $sum(sK0,sF1),
    introduced(function_definition,[]) ).

tff(f19,plain,
    0 != sF2,
    inference(definition_folding,[],[f16,f18,f17]) ).

tff(f16,plain,
    0 != $sum(sK0,$uminus(sK0)),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ? [X0: $int] : ( $sum(X0,$uminus(X0)) != 0 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_uminus_to_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : NUM890=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 : n027.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 09:27:01 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.49  % (26064)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.20/0.49  % (26066)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)
% 0.20/0.50  % (26081)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59Mi)
% 0.20/0.50  % (26063)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.20/0.50  % (26066)First to succeed.
% 0.20/0.50  % (26063)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.20/0.50  % (26063)Terminated due to inappropriate strategy.
% 0.20/0.50  % (26063)------------------------------
% 0.20/0.50  % (26063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (26063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (26063)Termination reason: Inappropriate
% 0.20/0.50  
% 0.20/0.50  % (26063)Memory used [KB]: 895
% 0.20/0.50  % (26063)Time elapsed: 0.001 s
% 0.20/0.50  % (26063)------------------------------
% 0.20/0.50  % (26063)------------------------------
% 0.20/0.50  % (26066)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (26066)------------------------------
% 0.20/0.50  % (26066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (26066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (26066)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (26066)Memory used [KB]: 5373
% 0.20/0.50  % (26066)Time elapsed: 0.097 s
% 0.20/0.50  % (26066)Instructions burned: 3 (million)
% 0.20/0.50  % (26066)------------------------------
% 0.20/0.50  % (26066)------------------------------
% 0.20/0.50  % (26060)Success in time 0.156 s
%------------------------------------------------------------------------------