TSTP Solution File: ARI032_1 by SnakeForV---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI032_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 : n015.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 15:45:16 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   5   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   72 (  15 atm;  13 fun;  24 num;  20 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   0 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (  17   !;   3   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f73,plain,
    $false,
    inference(evaluation,[],[f68]) ).

tff(f68,plain,
    ( $less(0,-15)
    | ( 15 = 0 ) ),
    inference(superposition,[],[f58,f6]) ).

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

tff(f58,plain,
    ! [X0: $int] :
      ( $less(0,$sum(-15,X0))
      | ( 15 = X0 ) ),
    inference(superposition,[],[f50,f4]) ).

tff(f4,plain,
    ! [X0: $int,X1: $int] : ( $sum(X1,X0) = $sum(X0,X1) ),
    introduced(theory_axiom_140,[]) ).

tff(f50,plain,
    ! [X5: $int] :
      ( $less(0,$sum(X5,-15))
      | ( 15 = X5 ) ),
    inference(evaluation,[],[f41]) ).

tff(f41,plain,
    ! [X5: $int] :
      ( $less(0,$sum(X5,$uminus(15)))
      | ( 15 = X5 ) ),
    inference(superposition,[],[f20,f8]) ).

tff(f8,plain,
    ! [X0: $int] : ( $sum(X0,$uminus(X0)) = 0 ),
    introduced(theory_axiom_145,[]) ).

tff(f20,plain,
    ! [X0: $int,X1: $int] :
      ( $less($sum(15,X1),$sum(X0,X1))
      | ( 15 = X0 ) ),
    inference(resolution,[],[f18,f12]) ).

tff(f12,plain,
    ! [X2: $int,X0: $int,X1: $int] :
      ( ~ $less(X0,X1)
      | $less($sum(X0,X2),$sum(X1,X2)) ),
    introduced(theory_axiom_150,[]) ).

tff(f18,plain,
    ! [X0: $int] :
      ( $less(15,X0)
      | ( 15 = X0 ) ),
    inference(resolution,[],[f17,f11]) ).

tff(f11,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X1,X0)
      | $less(X0,X1)
      | ( X0 = X1 ) ),
    introduced(theory_axiom_149,[]) ).

tff(f17,plain,
    ! [X0: $int] : ~ $less(X0,15),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,plain,
    ! [X0: $int] : ~ $less(X0,15),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $int] : $less(X0,15),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int] : $greater(15,X0),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int] : $greater(15,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_15_greater_something) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : ARI032=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_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n015.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 15:30:34 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (8807)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.48  % (8814)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.48  % (8808)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.18/0.49  % (8831)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.49  % (8814)First to succeed.
% 0.18/0.49  % (8814)Refutation found. Thanks to Tanya!
% 0.18/0.49  % SZS status Theorem for theBenchmark
% 0.18/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49  % (8814)------------------------------
% 0.18/0.49  % (8814)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (8814)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (8814)Termination reason: Refutation
% 0.18/0.49  
% 0.18/0.49  % (8814)Memory used [KB]: 5500
% 0.18/0.49  % (8814)Time elapsed: 0.105 s
% 0.18/0.49  % (8814)Instructions burned: 3 (million)
% 0.18/0.49  % (8814)------------------------------
% 0.18/0.49  % (8814)------------------------------
% 0.18/0.49  % (8802)Success in time 0.153 s
%------------------------------------------------------------------------------