TSTP Solution File: SET045-5 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET045-5 : 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_sat --cores 0 -t %d %s

% Computer : n009.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 18:23:22 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   11 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   4   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,plain,
    $false,
    inference(resolution,[],[f14,f12]) ).

fof(f12,plain,
    element(f(a),f(a)),
    inference(factoring,[],[f5]) ).

fof(f5,plain,
    ! [X0] :
      ( element(X0,f(a))
      | element(X0,X0) ),
    inference(resolution,[],[f3,f4]) ).

fof(f4,axiom,
    ! [X0] : element(X0,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

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

fof(f14,plain,
    ~ element(f(a),f(a)),
    inference(resolution,[],[f12,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ element(X0,f(X1))
      | ~ element(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SET045-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 13:00:05 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.48  % (15149)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.48  % (15161)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49  % (15146)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49  % (15146)First to succeed.
% 0.20/0.49  % (15146)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (15146)------------------------------
% 0.20/0.49  % (15146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (15146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (15146)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (15146)Memory used [KB]: 5373
% 0.20/0.49  % (15146)Time elapsed: 0.098 s
% 0.20/0.49  % (15146)Instructions burned: 1 (million)
% 0.20/0.49  % (15146)------------------------------
% 0.20/0.49  % (15146)------------------------------
% 0.20/0.49  % (15142)Success in time 0.14 s
%------------------------------------------------------------------------------