TSTP Solution File: SWV011-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV011-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n003.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 18:55:13 EDT 2022

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   8 unt;   0 def)
%            Number of atoms       :   12 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,plain,
    $false,
    inference(subsumption_resolution,[],[f9,f7]) ).

fof(f7,plain,
    b_holds(sF0(generate_key(an_a_nonce))),
    inference(forward_demodulation,[],[f1,f4]) ).

fof(f4,plain,
    ! [X0] : key(X0,a) = sF0(X0),
    introduced(function_definition,[]) ).

fof(f1,axiom,
    b_holds(key(generate_key(an_a_nonce),a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1_11) ).

fof(f9,plain,
    ~ b_holds(sF0(generate_key(an_a_nonce))),
    inference(resolution,[],[f6,f8]) ).

fof(f8,plain,
    a_holds(sF1(generate_key(an_a_nonce))),
    inference(forward_demodulation,[],[f2,f5]) ).

fof(f5,plain,
    ! [X0] : key(X0,b) = sF1(X0),
    introduced(function_definition,[]) ).

fof(f2,axiom,
    a_holds(key(generate_key(an_a_nonce),b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_13) ).

fof(f6,plain,
    ! [X0] :
      ( ~ a_holds(sF1(X0))
      | ~ b_holds(sF0(X0)) ),
    inference(definition_folding,[],[f3,f5,f4]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ b_holds(key(X0,a))
      | ~ a_holds(key(X0,b)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV011-1 : TPTP v8.1.0. Released v2.4.0.
% 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
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:55:37 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.51  % (24331)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/191324Mi)
% 0.21/0.51  % (24347)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.52  % (24339)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.21/0.52  TRYING [1]
% 0.21/0.52  TRYING [2]
% 0.21/0.52  TRYING [3]
% 0.21/0.52  TRYING [4]
% 0.21/0.52  TRYING [5]
% 0.21/0.52  TRYING [6]
% 0.21/0.52  TRYING [7]
% 0.21/0.52  % (24344)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.21/0.52  % (24344)First to succeed.
% 0.21/0.52  TRYING [8]
% 0.21/0.52  % (24339)Also succeeded, but the first one will report.
% 0.21/0.52  % (24344)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (24344)------------------------------
% 0.21/0.52  % (24344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (24344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (24344)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (24344)Memory used [KB]: 5373
% 0.21/0.52  % (24344)Time elapsed: 0.107 s
% 0.21/0.52  % (24344)------------------------------
% 0.21/0.52  % (24344)------------------------------
% 0.21/0.52  % (24330)Success in time 0.161 s
%------------------------------------------------------------------------------