TSTP Solution File: ARI577_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI577_1 : TPTP v8.1.0. Released v5.1.0.
% 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 : n021.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 15:46:29 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   3 unt;   0 typ;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   21 (   6   ~;   9   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   86 (  26 atm;  15 fun;  29 num;  16 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    :    6 (   0 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (  10   !;   6   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f36,plain,
    $false,
    inference(evaluation,[],[f34]) ).

tff(f34,plain,
    $less(6,5),
    inference(resolution,[],[f31,f9]) ).

tff(f9,plain,
    ! [X0: $int] : ~ $less(X0,X0),
    introduced(theory_axiom_147,[]) ).

tff(f31,plain,
    ! [X0: $int] :
      ( $less(X0,5)
      | $less(6,X0) ),
    inference(cancellation,[],[f30]) ).

tff(f30,plain,
    ! [X0: $int] :
      ( $less(10,$sum(X0,4))
      | $less(X0,5) ),
    inference(evaluation,[],[f24]) ).

tff(f24,plain,
    ! [X0: $int] :
      ( $less(X0,$sum(4,1))
      | $less(10,$sum(X0,4)) ),
    inference(resolution,[],[f18,f9]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,4)
      | $less(10,$sum(X1,X0))
      | $less(X1,$sum(X0,1)) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X0: $int,X1: $int] :
      ( $less(X0,4)
      | $less(10,$sum(X1,X0))
      | $less(X1,$sum(X0,1)) ),
    inference(rectify,[],[f16]) ).

tff(f16,plain,
    ! [X1: $int,X0: $int] :
      ( $less(X1,4)
      | $less(10,$sum(X0,X1))
      | $less(X0,$sum(X1,1)) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,plain,
    ~ ? [X0: $int,X1: $int] :
        ( ~ $less(X1,4)
        & ~ $less(10,$sum(X0,X1))
        & ~ $less(X0,$sum(X1,1)) ),
    inference(theory_normalization,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X0: $int,X1: $int] :
        ( $lesseq($sum(X1,1),X0)
        & $lesseq(4,X1)
        & $lesseq($sum(X0,X1),10) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X0: $int,X1: $int] :
      ( $lesseq($sum(X1,1),X0)
      & $lesseq(4,X1)
      & $lesseq($sum(X0,X1),10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ineq_sys_solvable_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : ARI577=1 : TPTP v8.1.0. Released v5.1.0.
% 0.11/0.13  % 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 : n021.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 15:45:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (8338)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.50  % (8334)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.50  % (8326)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50  % (8322)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.51  % (8322)First to succeed.
% 0.19/0.51  % (8322)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Theorem for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (8322)------------------------------
% 0.19/0.51  % (8322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (8322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (8322)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (8322)Memory used [KB]: 5373
% 0.19/0.51  % (8322)Time elapsed: 0.104 s
% 0.19/0.51  % (8322)Instructions burned: 2 (million)
% 0.19/0.51  % (8322)------------------------------
% 0.19/0.51  % (8322)------------------------------
% 0.19/0.51  % (8311)Success in time 0.162 s
%------------------------------------------------------------------------------