TSTP Solution File: SET061+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET061+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n018.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 : Tue May 21 03:15:44 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   9 unt;   0 def)
%            Number of atoms       :   11 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   7   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   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   :   14 (   9   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f241,plain,
    $false,
    inference(resolution,[],[f143,f146]) ).

fof(f146,plain,
    ! [X0] : ~ member(X0,null_class),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0] : ~ member(X0,null_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_defn) ).

fof(f143,plain,
    ! [X0] : member(sK2(X0),X0),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0] : member(sK2(X0),X0),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f72,f90]) ).

fof(f90,plain,
    ! [X0] :
      ( ? [X1] : member(X1,X0)
     => member(sK2(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f72,plain,
    ! [X0] :
    ? [X1] : member(X1,X0),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,plain,
    ~ ? [X0] :
      ! [X1] : ~ member(X1,X0),
    inference(rectify,[],[f45]) ).

fof(f45,negated_conjecture,
    ~ ? [X0] :
      ! [X4] : ~ member(X4,X0),
    inference(negated_conjecture,[],[f44]) ).

fof(f44,conjecture,
    ? [X0] :
    ! [X4] : ~ member(X4,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_of_null_class) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SET061+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.11/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n018.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   : Mon May 20 12:32:07 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (21677)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (21680)WARNING: value z3 for option sas not known
% 0.14/0.37  % (21678)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37  % (21681)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (21683)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37  % (21679)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37  % (21684)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37  % (21682)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37  % (21680)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (21684)First to succeed.
% 0.14/0.38  % (21680)Also succeeded, but the first one will report.
% 0.14/0.38  % (21683)Also succeeded, but the first one will report.
% 0.14/0.38  % (21684)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21677"
% 0.14/0.38  % (21682)Also succeeded, but the first one will report.
% 0.14/0.38  % (21684)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (21684)------------------------------
% 0.14/0.38  % (21684)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (21684)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (21684)Memory used [KB]: 938
% 0.14/0.38  % (21684)Time elapsed: 0.006 s
% 0.14/0.38  % (21684)Instructions burned: 8 (million)
% 0.14/0.38  % (21677)Success in time 0.024 s
%------------------------------------------------------------------------------