%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM890_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 18:02:47 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   13 (  10 unt;   2 typ;   0 def)
%            Number of atoms       :   12 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number arithmetic     :   33 (   0 atm;  18 fun;  10 num;   5 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    :    4 (   1 usr;   2 con; 0-2 aty)
%            Number of variables   :    5 (   3   !;   2   ?;   5   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_4,type,
    sK0: $int ).

tff(pred_def_2,type,
    sP1: $int > $o ).

tff(f22,plain,
    $false,
    inference(subsumption_resolution,[],[f21,f20]) ).

tff(f20,plain,
    sP1(0),
    inference(inequality_splitting,[],[f18,f19]) ).

tff(f19,plain,
    ~ sP1($sum(sK0,$uminus(sK0))),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

tff(f18,plain,
    0 != $sum(sK0,$uminus(sK0)),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    0 != $sum(sK0,$uminus(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f15,f16]) ).

tff(f16,plain,
    ( ? [X0: $int] : ( $sum(X0,$uminus(X0)) != 0 )
   => ( 0 != $sum(sK0,$uminus(sK0)) ) ),
    introduced(choice_axiom,[]) ).

tff(f15,plain,
    ? [X0: $int] : ( $sum(X0,$uminus(X0)) != 0 ),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_uminus_to_0) ).

tff(f21,plain,
    ~ sP1(0),
    inference(superposition,[],[f19,f7]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM890=1 : TPTP v8.1.0. Released v5.0.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 09:27:16 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (27176)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)
% 0.19/0.48  % (27184)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.19/0.49  % (27184)Instruction limit reached!
% 0.19/0.49  % (27184)------------------------------
% 0.19/0.49  % (27184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (27184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (27184)Termination reason: Unknown
% 0.19/0.49  % (27184)Termination phase: Saturation
% 0.19/0.49  
% 0.19/0.49  % (27184)Memory used [KB]: 5373
% 0.19/0.49  % (27184)Time elapsed: 0.003 s
% 0.19/0.49  % (27184)Instructions burned: 2 (million)
% 0.19/0.49  % (27184)------------------------------
% 0.19/0.49  % (27184)------------------------------
% 0.19/0.49  % (27176)First to succeed.
% 0.19/0.49  % (27176)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  % (27176)------------------------------
% 0.19/0.49  % (27176)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (27176)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (27176)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (27176)Memory used [KB]: 5373
% 0.19/0.49  % (27176)Time elapsed: 0.078 s
% 0.19/0.49  % (27176)Instructions burned: 1 (million)
% 0.19/0.49  % (27176)------------------------------
% 0.19/0.49  % (27176)------------------------------
% 0.19/0.49  % (27168)Success in time 0.141 s
%------------------------------------------------------------------------------