%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI428_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 : n001.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 15:46:07 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   9 unt;   1 typ;   0 def)
%            Number of atoms       :   11 (   6 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   6   ~;   0   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :    2 (   2 fml;   0 var)
%            Number arithmetic     :   33 (   0 atm;  10 fun;  20 num;   3 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    :    6 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?;   3   :)

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

tff(f29,plain,
    $false,
    inference(subsumption_resolution,[],[f27,f26]) ).

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

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

tff(f27,plain,
    ~ sQ0_eqProxy(2.05,2.05),
    inference(evaluation,[],[f23]) ).

tff(f23,plain,
    ~ sQ0_eqProxy(2.05,$sum(5.55,$uminus(3.5))),
    inference(equality_proxy_replacement,[],[f16,f17]) ).

tff(f16,plain,
    2.05 != $sum(5.55,$uminus(3.5)),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    2.05 != $sum(5.55,$uminus(3.5)),
    inference(flattening,[],[f3]) ).

tff(f3,plain,
    ( ( ~ 2.05 )
    = $sum(5.55,$uminus(3.5)) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ( ( ~ $difference(5.55,3.5) )
    = 2.05 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    $difference(5.55,3.5) = 2.05,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_difference_problem_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : ARI428=1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n001.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 16:01:44 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.48  % (27363)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.48  % (27379)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/21Mi)
% 0.18/0.49  % (27354)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.49  % (27363)First to succeed.
% 0.18/0.49  % (27366)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=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.49  % (27363)Refutation found. Thanks to Tanya!
% 0.18/0.49  % SZS status Theorem for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49  % (27363)------------------------------
% 0.18/0.49  % (27363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (27363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (27363)Termination reason: Refutation
% 0.18/0.49  
% 0.18/0.49  % (27363)Memory used [KB]: 5373
% 0.18/0.49  % (27363)Time elapsed: 0.003 s
% 0.18/0.49  % (27363)Instructions burned: 1 (million)
% 0.18/0.49  % (27363)------------------------------
% 0.18/0.49  % (27363)------------------------------
% 0.18/0.49  % (27350)Success in time 0.152 s
%------------------------------------------------------------------------------