%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI255_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_sat --cores 0 -t %d %s

% Computer : n018.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 15:47:49 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (  12 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number arithmetic     :   51 (   0 atm;  21 fun;  13 num;  17 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (  15   !;   2   ?;  17   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f249,plain,
    $false,
    inference(equality_resolution,[],[f229]) ).

tff(f229,plain,
    ! [X13: $rat] : ( 1/2 != X13 ),
    inference(superposition,[],[f15,f212]) ).

tff(f212,plain,
    ! [X2: $rat,X3: $rat] : ( $sum(X2,$sum($uminus(X2),X3)) = X3 ),
    inference(forward_demodulation,[],[f189,f22]) ).

tff(f22,plain,
    ! [X0: $rat] : ( $sum(0/1,X0) = X0 ),
    inference(superposition,[],[f3,f5]) ).

tff(f5,plain,
    ! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
    introduced(theory_axiom_142,[]) ).

tff(f3,plain,
    ! [X0: $rat,X1: $rat] : ( $sum(X1,X0) = $sum(X0,X1) ),
    introduced(theory_axiom_140,[]) ).

tff(f189,plain,
    ! [X2: $rat,X3: $rat] : ( $sum(0/1,X3) = $sum(X2,$sum($uminus(X2),X3)) ),
    inference(superposition,[],[f4,f7]) ).

tff(f7,plain,
    ! [X0: $rat] : ( 0/1 = $sum(X0,$uminus(X0)) ),
    introduced(theory_axiom_145,[]) ).

tff(f4,plain,
    ! [X2: $rat,X0: $rat,X1: $rat] : ( $sum($sum(X0,X1),X2) = $sum(X0,$sum(X1,X2)) ),
    introduced(theory_axiom_141,[]) ).

tff(f15,plain,
    ! [X0: $rat] : ( $sum(5/16,X0) != 1/2 ),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: $rat] : ( $sum(5/16,X0) != 1/2 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : ( $sum(5/16,X0) = 1/2 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : ( $sum(5/16,X0) = 1/2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_sum_problem_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : ARI255=1 : TPTP v8.1.0. Released v5.0.0.
% 0.08/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 15:33:39 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.47  % (25911)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.48  % (25911)First to succeed.
% 0.19/0.48  % (25901)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.49  % (25911)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Theorem for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (25911)------------------------------
% 0.19/0.49  % (25911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (25911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (25911)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (25911)Memory used [KB]: 5500
% 0.19/0.49  % (25911)Time elapsed: 0.080 s
% 0.19/0.49  % (25911)Instructions burned: 11 (million)
% 0.19/0.49  % (25911)------------------------------
% 0.19/0.49  % (25911)------------------------------
% 0.19/0.49  % (25889)Success in time 0.15 s
%------------------------------------------------------------------------------