TSTP Solution File: SYN006-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN006-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n023.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 19:25:10 EDT 2022

% Result   : Unsatisfiable 0.22s 0.48s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   13 (   6   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f5]) ).

fof(f5,axiom,
    ! [X0,X1] : ~ q3(X0,g(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

fof(f12,plain,
    ! [X0] : q3(f(f(f(a))),g(f(X0))),
    inference(resolution,[],[f11,f6]) ).

fof(f6,axiom,
    ! [X0,X1] : ~ q4(f(f(X0)),f(g(f(X1)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

fof(f11,plain,
    ! [X0] :
      ( q4(f(f(a)),f(X0))
      | q3(f(f(f(a))),X0) ),
    inference(resolution,[],[f4,f10]) ).

fof(f10,plain,
    ! [X0] : p2(f(f(a)),X0),
    inference(resolution,[],[f9,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ q1(X0,f(X1))
      | p2(f(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

fof(f9,plain,
    ! [X0] : q1(f(a),X0),
    inference(subsumption_resolution,[],[f8,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : ~ q2(X0,f(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

fof(f8,plain,
    ! [X0] :
      ( q1(f(a),X0)
      | q2(a,f(X0)) ),
    inference(resolution,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X1] : p1(a,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ p1(X0,f(X1))
      | q1(f(X0),X1)
      | q2(X0,f(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ p2(X0,f(X1))
      | q3(f(X0),X1)
      | q4(X0,f(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYN006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36  % Computer : n023.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 30 21:42:19 EDT 2022
% 0.15/0.36  % CPUTime    : 
% 0.22/0.47  % (24805)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.22/0.47  % (24794)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.47  % (24794)First to succeed.
% 0.22/0.48  % (24794)Refutation found. Thanks to Tanya!
% 0.22/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.48  % (24794)------------------------------
% 0.22/0.48  % (24794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.48  % (24794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.48  % (24794)Termination reason: Refutation
% 0.22/0.48  
% 0.22/0.48  % (24794)Memory used [KB]: 5756
% 0.22/0.48  % (24794)Time elapsed: 0.068 s
% 0.22/0.48  % (24794)Instructions burned: 2 (million)
% 0.22/0.48  % (24794)------------------------------
% 0.22/0.48  % (24794)------------------------------
% 0.22/0.48  % (24786)Success in time 0.11 s
%------------------------------------------------------------------------------