TSTP Solution File: SYN354-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN354-1 : TPTP v8.1.0. Released v1.2.0.
% 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 : n011.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 19:26:21 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   2 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   31 (  16   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f15,plain,
    $false,
    inference(unit_resulting_resolution,[],[f1,f1,f14]) ).

fof(f14,plain,
    ! [X3,X4] :
      ( ~ f(X4,b)
      | ~ f(X3,b) ),
    inference(resolution,[],[f12,f10]) ).

fof(f10,plain,
    ! [X0] :
      ( f(b,b)
      | ~ f(X0,b) ),
    inference(subsumption_resolution,[],[f8,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( f(b,X1)
      | ~ g(X1,z(X0,X1))
      | ~ g(b,z(X0,X1))
      | ~ f(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f8,plain,
    ! [X0] :
      ( g(b,z(X0,b))
      | f(b,b)
      | ~ f(X0,b) ),
    inference(factoring,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( g(b,z(X0,X1))
      | ~ f(X0,X1)
      | f(b,X1)
      | g(X1,z(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ f(b,X1)
      | ~ f(X0,b) ),
    inference(subsumption_resolution,[],[f11,f1]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ~ f(b,X1)
      | ~ f(a,b)
      | ~ f(X0,b) ),
    inference(resolution,[],[f10,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ f(b,X0)
      | ~ f(X0,X1)
      | ~ f(a,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f1,axiom,
    f(a,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN354-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n011.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   : Tue Aug 30 21:44:55 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  % (20729)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.51  % (20729)First to succeed.
% 0.20/0.51  % (20729)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (20729)------------------------------
% 0.20/0.51  % (20729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (20729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (20729)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (20729)Memory used [KB]: 1279
% 0.20/0.51  % (20729)Time elapsed: 0.095 s
% 0.20/0.51  % (20729)Instructions burned: 1 (million)
% 0.20/0.51  % (20729)------------------------------
% 0.20/0.51  % (20729)------------------------------
% 0.20/0.51  % (20714)Success in time 0.152 s
%------------------------------------------------------------------------------