%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI077_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_uns --cores 0 -t %d %s

% Computer : n004.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 15:45:22 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   8 unt;   1 typ;   0 def)
%            Number of atoms       :   10 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   5   ~;   0   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   27 (   0 atm;   6 fun;  12 num;   9 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   7   !;   2   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ0_eqProxy: ( $int * $int ) > $o ).

tff(f29,plain,
    $false,
    inference(gaussian_variable_elimination,[],[f28]) ).

tff(f28,plain,
    ! [X0: $int] : ( $sum(X0,-5) != 0 ),
    inference(constrained_resolution,[],[f26,f18]) ).

tff(f18,plain,
    ! [X0: $int] : ~ sQ0_eqProxy($sum(X0,-5),0),
    inference(equality_proxy_replacement,[],[f16,f17]) ).

tff(f17,plain,
    ! [X0: $int,X1: $int] :
      ( sQ0_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f16,plain,
    ! [X0: $int] : ( $sum(X0,-5) != 0 ),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: $int] : ( $sum(X0,-5) != 0 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : ( $sum(X0,-5) = 0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : ( $sum(X0,-5) = 0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_what_n5_0) ).

tff(f26,plain,
    ! [X0: $int] : sQ0_eqProxy(X0,X0),
    inference(equality_proxy_axiom,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI077=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_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n004.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 15:17:19 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (18400)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.20/0.49  % (18401)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/35Mi)
% 0.20/0.50  % (18420)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/41Mi)
% 0.20/0.50  % (18400)First to succeed.
% 0.20/0.50  % (18400)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  % (18400)------------------------------
% 0.20/0.50  % (18400)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (18400)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (18400)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (18400)Memory used [KB]: 5373
% 0.20/0.50  % (18400)Time elapsed: 0.103 s
% 0.20/0.50  % (18400)Instructions burned: 1 (million)
% 0.20/0.50  % (18400)------------------------------
% 0.20/0.50  % (18400)------------------------------
% 0.20/0.50  % (18390)Success in time 0.155 s
%------------------------------------------------------------------------------