%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI427_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 : n020.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 15:46:06 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   9 unt;   1 typ;   0 def)
%            Number of atoms       :    9 (   5 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :    2 (   2 fml;   0 var)
%            Number arithmetic     :   29 (   0 atm;  10 fun;  19 num;   0 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    1 (   1   >;   0   *;   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   :    0 (   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sP0: $real > $o ).

tff(f20,plain,
    $false,
    inference(subsumption_resolution,[],[f19,f18]) ).

tff(f18,plain,
    sP0(2.0),
    inference(inequality_splitting,[],[f16,f17]) ).

tff(f17,plain,
    ~ sP0($sum(6.25,$uminus(4.25))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

tff(f16,plain,
    2.0 != $sum(6.25,$uminus(4.25)),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    2.0 != $sum(6.25,$uminus(4.25)),
    inference(flattening,[],[f3]) ).

tff(f3,plain,
    ( ( ~ 2.0 )
    = $sum(6.25,$uminus(4.25)) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ( ( ~ $difference(6.25,4.25) )
    = 2.0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    $difference(6.25,4.25) = 2.0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_difference_problem_3) ).

tff(f19,plain,
    ~ sP0(2.0),
    inference(evaluation,[],[f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : ARI427=1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 15:42:00 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.51  % (16292)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/35Mi)
% 0.19/0.51  % (16289)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/36Mi)
% 0.19/0.52  % (16296)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/50Mi)
% 0.19/0.52  % (16289)First to succeed.
% 0.19/0.52  % (16304)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/46Mi)
% 0.19/0.52  % (16288)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.19/0.52  % (16289)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (16289)------------------------------
% 0.19/0.52  % (16289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (16289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (16289)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (16289)Memory used [KB]: 5373
% 0.19/0.52  % (16289)Time elapsed: 0.004 s
% 0.19/0.52  % (16289)Instructions burned: 2 (million)
% 0.19/0.52  % (16289)------------------------------
% 0.19/0.52  % (16289)------------------------------
% 0.19/0.52  % (16281)Success in time 0.168 s
%------------------------------------------------------------------------------