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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n019.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 18:43:49 EDT 2022

% Result   : Theorem 0.16s 0.48s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   5 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   5   ~;   2   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   2   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(unit_resulting_resolution,[],[f31,f28,f30]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ b_holds(key(X0,a))
      | ~ a_holds(key(X0,b)) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ b_holds(key(X0,a))
      | ~ a_holds(key(X0,b)) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ? [X0] :
        ( a_holds(key(X0,b))
        & b_holds(key(X0,a)) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ? [X0] :
      ( a_holds(key(X0,b))
      & b_holds(key(X0,a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f28,plain,
    b_holds(key(generate_key(an_a_nonce),a)),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    b_holds(key(generate_key(an_a_nonce),a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f31,plain,
    a_holds(key(generate_key(an_a_nonce),b)),
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    a_holds(key(generate_key(an_a_nonce),b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWV011+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.32  % Computer : n019.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Tue Aug 30 18:58:20 EDT 2022
% 0.10/0.32  % CPUTime    : 
% 0.16/0.47  % (6687)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.16/0.48  % (6703)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.16/0.48  % (6699)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.48  % (6690)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.16/0.48  % (6690)First to succeed.
% 0.16/0.48  % (6695)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.16/0.48  % (6691)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.16/0.48  % (6690)Refutation found. Thanks to Tanya!
% 0.16/0.48  % SZS status Theorem for theBenchmark
% 0.16/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48  % (6690)------------------------------
% 0.16/0.48  % (6690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.48  % (6690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.48  % (6690)Termination reason: Refutation
% 0.16/0.48  
% 0.16/0.48  % (6690)Memory used [KB]: 5884
% 0.16/0.48  % (6690)Time elapsed: 0.095 s
% 0.16/0.48  % (6690)Instructions burned: 1 (million)
% 0.16/0.48  % (6690)------------------------------
% 0.16/0.48  % (6690)------------------------------
% 0.16/0.48  % (6680)Success in time 0.159 s
%------------------------------------------------------------------------------