%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM866_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 : n017.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 18:07:04 EDT 2022

% Result   : Theorem 1.58s 0.57s
% Output   : Refutation 1.58s
% 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 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   23 (   0 atm;   9 fun;   9 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    :    4 (   2 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   3   !;   2   ?;   5   :)

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

tff(func_def_5,type,
    sF1: $int ).

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

tff(f20,plain,
    sK0 != sF1,
    inference(definition_folding,[],[f18,f19]) ).

tff(f19,plain,
    $sum(sK0,0) = sF1,
    introduced(function_definition,[]) ).

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

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

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

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

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

tff(f1,conjecture,
    ! [X0: $int] : ( $sum(X0,0) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sum_0_identity) ).

tff(f21,plain,
    sK0 = sF1,
    inference(forward_demodulation,[],[f19,f5]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : NUM866=1 : TPTP v8.1.0. Released v5.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n017.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 08:31:50 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.56  % (11550)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)
% 0.19/0.56  % (11535)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 1.58/0.57  % (11542)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)
% 1.58/0.57  % (11535)First to succeed.
% 1.58/0.57  % (11558)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/177Mi)
% 1.58/0.57  % (11550)Also succeeded, but the first one will report.
% 1.58/0.57  % (11535)Refutation found. Thanks to Tanya!
% 1.58/0.57  % SZS status Theorem for theBenchmark
% 1.58/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.57  % (11535)------------------------------
% 1.58/0.57  % (11535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57  % (11535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57  % (11535)Termination reason: Refutation
% 1.58/0.57  
% 1.58/0.57  % (11535)Memory used [KB]: 5373
% 1.58/0.57  % (11535)Time elapsed: 0.005 s
% 1.58/0.57  % (11535)Instructions burned: 2 (million)
% 1.58/0.57  % (11535)------------------------------
% 1.58/0.57  % (11535)------------------------------
% 1.58/0.57  % (11530)Success in time 0.221 s
%------------------------------------------------------------------------------