%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI281_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 : n022.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 15:47:53 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   24 (   0 atm;  10 fun;   7 num;   7 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    :    4 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :    7 (   4   !;   3   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f18,plain,
    $false,
    inference(subsumption_resolution,[],[f6,f17]) ).

tff(f17,plain,
    ! [X0: $rat] : ( $sum(X0,0/1) != X0 ),
    inference(evaluation,[],[f16]) ).

tff(f16,plain,
    ! [X0: $rat] : ( $sum(X0,$uminus(0/1)) != X0 ),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: $rat] : ( $sum(X0,$uminus(0/1)) != X0 ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $rat] : ( $sum(X0,$uminus(0/1)) = X0 ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $rat] : ( $difference(X0,0/1) = X0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $rat] : ( $difference(X0,0/1) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_difference_problem_9) ).

tff(f6,plain,
    ! [X0: $rat] : ( $sum(X0,0/1) = X0 ),
    introduced(theory_axiom_142,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : ARI281=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_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n022.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 15:33:11 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (31101)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.49  % (31101)First to succeed.
% 0.19/0.49  % (31087)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.49  % (31101)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  % (31101)------------------------------
% 0.19/0.49  % (31101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (31101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (31101)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (31101)Memory used [KB]: 5373
% 0.19/0.49  % (31101)Time elapsed: 0.096 s
% 0.19/0.49  % (31101)Instructions burned: 2 (million)
% 0.19/0.49  % (31101)------------------------------
% 0.19/0.49  % (31101)------------------------------
% 0.19/0.49  % (31084)Success in time 0.149 s
%------------------------------------------------------------------------------