TSTP Solution File: ARI083_1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : ARI083_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 : n029.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 15:45:23 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    8 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   32 (  31 equ)
%            Maximal formula atoms :    5 (   4 avg)
%            Number of connectives :   30 (   6   ~;   0   |;  21   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   68 (   0 atm;  24 fun;   0 num;  44 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    :    1 (   0 usr;   0 con; 2-2 aty)
%            Number of variables   :   44 (  23   !;  21   ?;  44   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f24,plain,
    $false,
    inference(equality_resolution,[],[f23]) ).

tff(f23,plain,
    ! [X2: $int,X6: $int] : ( X2 != X6 ),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    ! [X0: $int,X1: $int,X2: $int,X3: $int,X4: $int,X5: $int,X6: $int] :
      ( ( X2 != X6 )
      & ( $sum(X4,X3) = X2 )
      & ( $sum(X4,X1) = X5 )
      & ( $sum(X1,X0) = X3 )
      & ( $sum(X5,X0) = X6 ) ),
    inference(rectify,[],[f17]) ).

tff(f17,plain,
    ! [X5: $int,X6: $int,X4: $int,X2: $int,X3: $int,X0: $int,X1: $int] :
      ( ( X1 != X4 )
      & ( $sum(X3,X2) = X4 )
      & ( $sum(X3,X6) = X0 )
      & ( $sum(X6,X5) = X2 )
      & ( $sum(X0,X5) = X1 ) ),
    inference(flattening,[],[f16]) ).

tff(f16,plain,
    ! [X5: $int,X4: $int,X0: $int,X1: $int,X6: $int,X2: $int,X3: $int] :
      ( ( X1 != X4 )
      & ( $sum(X3,X6) = X0 )
      & ( $sum(X6,X5) = X2 )
      & ( $sum(X3,X2) = X4 )
      & ( $sum(X0,X5) = X1 ) ),
    inference(ennf_transformation,[],[f15]) ).

tff(f15,plain,
    ~ ? [X5: $int,X4: $int,X0: $int,X1: $int,X6: $int,X2: $int,X3: $int] :
        ( ( ( $sum(X3,X6) = X0 )
          & ( $sum(X6,X5) = X2 )
          & ( $sum(X3,X2) = X4 )
          & ( $sum(X0,X5) = X1 ) )
       => ( X1 = X4 ) ),
    inference(rectify,[],[f2]) ).

tff(f2,negated_conjecture,
    ~ ? [X3: $int,X4: $int,X5: $int,X0: $int,X6: $int,X2: $int,X1: $int] :
        ( ( ( $sum(X3,X2) = X4 )
          & ( $sum(X0,X1) = X3 )
          & ( $sum(X1,X2) = X5 )
          & ( $sum(X0,X5) = X6 ) )
       => ( X4 = X6 ) ),
    inference(negated_conjecture,[],[f1]) ).

tff(f1,conjecture,
    ? [X3: $int,X4: $int,X5: $int,X0: $int,X6: $int,X2: $int,X1: $int] :
      ( ( ( $sum(X3,X2) = X4 )
        & ( $sum(X0,X1) = X3 )
        & ( $sum(X1,X2) = X5 )
        & ( $sum(X0,X5) = X6 ) )
     => ( X4 = X6 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_sum_exists) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ARI083=1 : TPTP v8.1.0. Released v5.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 15:30:41 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.51  % (20386)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.20/0.51  % (20382)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)
% 0.20/0.52  % (20382)First to succeed.
% 0.20/0.52  % (20403)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 0.20/0.52  % (20379)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.52  % (20394)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (20403)Also succeeded, but the first one will report.
% 0.20/0.52  % (20382)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (20382)------------------------------
% 0.20/0.52  % (20382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (20382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (20382)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (20382)Memory used [KB]: 5373
% 0.20/0.52  % (20382)Time elapsed: 0.006 s
% 0.20/0.52  % (20382)Instructions burned: 1 (million)
% 0.20/0.52  % (20382)------------------------------
% 0.20/0.52  % (20382)------------------------------
% 0.20/0.52  % (20371)Success in time 0.161 s
%------------------------------------------------------------------------------