%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM864_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 : 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 18:07:03 EDT 2022

% Result   : Theorem 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :    7 (   6 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   13 (   0 atm;   5 fun;   3 num;   5 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    :    2 (   0 usr;   1 con; 0-2 aty)
%            Number of variables   :    5 (   3   !;   2   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f22,plain,
    $false,
    inference(trivial_inequality_removal,[],[f19]) ).

tff(f19,plain,
    0 != 0,
    inference(superposition,[],[f16,f5]) ).

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

tff(f16,plain,
    ! [X0: $int] : ( $sum(X0,X0) != X0 ),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: $int] : ( $sum(X0,X0) != X0 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : ( $sum(X0,X0) = X0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : ( $sum(X0,X0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_idempotent_element) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : NUM864=1 : TPTP v8.1.0. Released v5.0.0.
% 0.06/0.12  % 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 : n001.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   : Tue Aug 30 09:28:31 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.45  % (30626)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.18/0.46  % (30618)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)
% 0.18/0.47  % (30614)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.18/0.47  % (30626)First to succeed.
% 0.18/0.47  % (30626)Refutation found. Thanks to Tanya!
% 0.18/0.47  % SZS status Theorem for theBenchmark
% 0.18/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47  % (30626)------------------------------
% 0.18/0.47  % (30626)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (30626)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (30626)Termination reason: Refutation
% 0.18/0.47  
% 0.18/0.47  % (30626)Memory used [KB]: 895
% 0.18/0.47  % (30626)Time elapsed: 0.099 s
% 0.18/0.47  % (30626)Instructions burned: 1 (million)
% 0.18/0.47  % (30626)------------------------------
% 0.18/0.47  % (30626)------------------------------
% 0.18/0.47  % (30606)Success in time 0.132 s
%------------------------------------------------------------------------------