%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ARI004_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 : n012.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 15:47:09 EDT 2022

% Result   : Theorem 1.52s 0.55s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   36 (   9 atm;   5 fun;  11 num;  11 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   11 (   9   !;   2   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f67,plain,
    $false,
    inference(evaluation,[],[f63]) ).

tff(f63,plain,
    $less(13,1),
    inference(resolution,[],[f39,f16]) ).

tff(f16,plain,
    ! [X0: $int] : ~ $less(X0,13),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: $int] : ~ $less(X0,13),
    inference(ennf_transformation,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : $less(X0,13),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : $less(X0,13),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',something_less_13) ).

tff(f39,plain,
    ! [X4: $int] :
      ( $less(0,X4)
      | $less(X4,1) ),
    inference(superposition,[],[f12,f20]) ).

tff(f20,plain,
    ! [X0: $int] : ( $sum(0,X0) = X0 ),
    inference(superposition,[],[f5,f3]) ).

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

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

tff(f12,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,$sum(X0,1))
      | $less(X0,X1) ),
    introduced(theory_axiom_152,[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ARI004=1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13  % 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 : n012.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   : Mon Aug 29 15:16:51 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.53  % (23756)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)
% 0.20/0.54  % (23756)First to succeed.
% 1.52/0.55  % (23756)Refutation found. Thanks to Tanya!
% 1.52/0.55  % SZS status Theorem for theBenchmark
% 1.52/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.55  % (23756)------------------------------
% 1.52/0.55  % (23756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.55  % (23756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.55  % (23756)Termination reason: Refutation
% 1.52/0.55  
% 1.52/0.55  % (23756)Memory used [KB]: 895
% 1.52/0.55  % (23756)Time elapsed: 0.127 s
% 1.52/0.55  % (23756)Instructions burned: 3 (million)
% 1.52/0.55  % (23756)------------------------------
% 1.52/0.55  % (23756)------------------------------
% 1.52/0.55  % (23753)Success in time 0.2 s
%------------------------------------------------------------------------------