%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI558_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 : 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 15:46:26 EDT 2022

% Result   : Theorem 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   10 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number arithmetic     :   60 (   7 atm;  21 fun;  23 num;   9 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   6   !;   3   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f33,plain,
    $false,
    inference(evaluation,[],[f29]) ).

tff(f29,plain,
    $less(0/1,$sum(-1/4,$uminus(0/1))),
    inference(superposition,[],[f26,f18]) ).

tff(f18,plain,
    ! [X0: $rat] : ( 0/1 = $product(X0,0/1) ),
    introduced(theory_axiom_154,[]) ).

tff(f26,plain,
    ! [X2: $rat] : $less(0/1,$sum(-1/4,$uminus($product(-1/20,X2)))),
    inference(superposition,[],[f22,f15]) ).

tff(f15,plain,
    ! [X0: $rat,X1: $rat] : ( $product(X0,X1) = $product(X1,X0) ),
    introduced(theory_axiom_140,[]) ).

tff(f22,plain,
    ! [X0: $rat] : $less(0/1,$sum(-1/4,$uminus($product(X0,-1/20)))),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: $rat] : $less(0/1,$sum(-1/4,$uminus($product(X0,-1/20)))),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $rat] : ~ $less(0/1,$sum(-1/4,$uminus($product(X0,-1/20)))),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : $lesseq($difference(-1/4,$product(X0,-1/20)),0/1),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : $lesseq($difference(-1/4,$product(X0,-1/20)),0/1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_combined_problem_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : ARI558=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_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n027.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 16:03:30 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.20/0.49  % (22488)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/35Mi)
% 0.20/0.49  % (22485)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)
% 0.20/0.49  % (22485)First to succeed.
% 0.20/0.49  % (22485)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Theorem for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (22485)------------------------------
% 0.20/0.49  % (22485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (22485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (22485)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (22485)Memory used [KB]: 5500
% 0.20/0.49  % (22485)Time elapsed: 0.094 s
% 0.20/0.49  % (22485)Instructions burned: 2 (million)
% 0.20/0.49  % (22485)------------------------------
% 0.20/0.49  % (22485)------------------------------
% 0.20/0.49  % (22477)Success in time 0.151 s
%------------------------------------------------------------------------------