TSTP Solution File: SET506-6 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET506-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 : Sun May  5 09:14:02 EDT 2024

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   25 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  10   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f204,plain,
    $false,
    inference(resolution,[],[f198,f52]) ).

fof(f52,axiom,
    member(omega,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',omega_in_universal) ).

fof(f198,plain,
    ! [X0] : ~ member(X0,universal_class),
    inference(duplicate_literal_removal,[],[f197]) ).

fof(f197,plain,
    ! [X0] :
      ( ~ member(X0,universal_class)
      | ~ member(X0,universal_class) ),
    inference(superposition,[],[f24,f182]) ).

fof(f182,plain,
    universal_class = complement(universal_class),
    inference(resolution,[],[f157,f52]) ).

fof(f157,plain,
    ! [X0] :
      ( ~ member(omega,X0)
      | universal_class = complement(X0) ),
    inference(resolution,[],[f146,f52]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ~ member(X0,universal_class)
      | ~ member(X0,X1)
      | universal_class = complement(X1) ),
    inference(resolution,[],[f139,f24]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( member(X1,X0)
      | ~ member(X1,universal_class)
      | universal_class = X0 ),
    inference(superposition,[],[f21,f122]) ).

fof(f122,plain,
    ! [X0] :
      ( universal_class = intersection(X0,regular(X0))
      | universal_class = X0 ),
    inference(forward_demodulation,[],[f121,f113]) ).

fof(f113,axiom,
    universal_class = null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_universal_class_not_null_class_1) ).

fof(f121,plain,
    ! [X0] :
      ( universal_class = X0
      | null_class = intersection(X0,regular(X0)) ),
    inference(forward_demodulation,[],[f67,f113]) ).

fof(f67,axiom,
    ! [X0] :
      ( null_class = X0
      | null_class = intersection(X0,regular(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem    : SET506-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n007.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   : Fri May  3 16:36:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (27076)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (27079)WARNING: value z3 for option sas not known
% 0.14/0.37  % (27079)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)
% 0.14/0.37  % (27080)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  % (27078)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  % (27082)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  % (27083)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  % (27081)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)
% 0.14/0.38  % (27082)First to succeed.
% 0.14/0.38  % (27077)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (27082)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27076"
% 0.14/0.38  % (27082)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38  % (27082)------------------------------
% 0.14/0.38  % (27082)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38  % (27082)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (27082)Memory used [KB]: 981
% 0.14/0.38  % (27082)Time elapsed: 0.008 s
% 0.14/0.38  % (27082)Instructions burned: 13 (million)
% 0.14/0.38  % (27076)Success in time 0.026 s
%------------------------------------------------------------------------------