%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI093_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 : n013.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 15:45:25 EDT 2022

% Result   : Theorem 0.22s 0.52s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (  10 unt;   1 typ;   0 def)
%            Number of atoms       :   12 (   7 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   6   ~;   0   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   33 (   0 atm;  13 fun;   9 num;  11 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    :    4 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :   11 (   8   !;   3   ?;  11   :)

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

tff(f32,plain,
    $false,
    inference(subsumption_resolution,[],[f31,f19]) ).

tff(f19,plain,
    ! [X0: $int] : sQ0_eqProxy($sum(X0,0),X0),
    inference(equality_proxy_replacement,[],[f6,f18]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int] :
      ( sQ0_eqProxy(X0,X1)
    <=> ( X0 = X1 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f6,plain,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f31,plain,
    ! [X0: $int] : ~ sQ0_eqProxy($sum(X0,0),X0),
    inference(evaluation,[],[f20]) ).

tff(f20,plain,
    ! [X0: $int] : ~ sQ0_eqProxy($sum(X0,$uminus(0)),X0),
    inference(equality_proxy_replacement,[],[f17,f18]) ).

tff(f17,plain,
    ! [X0: $int] : ( $sum(X0,$uminus(0)) != X0 ),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X0: $int] : ( $sum(X0,$uminus(0)) != X0 ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $int] : ( $sum(X0,$uminus(0)) = X0 ),
    inference(theory_normalization,[],[f2]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI093=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.35  % Computer : n013.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Aug 29 15:17:32 EDT 2022
% 0.15/0.35  % CPUTime    : 
% 0.22/0.51  % (2088)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.22/0.51  % (2096)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/26Mi)
% 0.22/0.51  % (2107)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.22/0.51  % (2096)First to succeed.
% 0.22/0.52  % (2096)Refutation found. Thanks to Tanya!
% 0.22/0.52  % SZS status Theorem for theBenchmark
% 0.22/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.52  % (2096)------------------------------
% 0.22/0.52  % (2096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.52  % (2096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.52  % (2096)Termination reason: Refutation
% 0.22/0.52  
% 0.22/0.52  % (2096)Memory used [KB]: 5373
% 0.22/0.52  % (2096)Time elapsed: 0.003 s
% 0.22/0.52  % (2096)Instructions burned: 1 (million)
% 0.22/0.52  % (2096)------------------------------
% 0.22/0.52  % (2096)------------------------------
% 0.22/0.52  % (2087)Success in time 0.16 s
%------------------------------------------------------------------------------