TSTP Solution File: GEO086+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO086+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.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 Apr 30 11:14:01 EDT 2024

% Result   : Theorem 0.22s 0.40s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   6 unt;   0 def)
%            Number of atoms       :   44 (   6 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   40 (  14   ~;   7   |;  14   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   21 (  15   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f170,plain,
    $false,
    inference(resolution,[],[f168,f104]) ).

fof(f104,plain,
    open(sK3),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ( ~ open(sK4)
    & part_of(sK4,sK3)
    & open(sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f35,f60]) ).

fof(f60,plain,
    ( ? [X0,X1] :
        ( ~ open(X1)
        & part_of(X1,X0)
        & open(X0) )
   => ( ~ open(sK4)
      & part_of(sK4,sK3)
      & open(sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f35,plain,
    ? [X0,X1] :
      ( ~ open(X1)
      & part_of(X1,X0)
      & open(X0) ),
    inference(flattening,[],[f34]) ).

fof(f34,plain,
    ? [X0,X1] :
      ( ~ open(X1)
      & part_of(X1,X0)
      & open(X0) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,plain,
    ~ ! [X0,X1] :
        ( ( part_of(X1,X0)
          & open(X0) )
       => open(X1) ),
    inference(rectify,[],[f18]) ).

fof(f18,negated_conjecture,
    ~ ! [X0,X7] :
        ( ( part_of(X7,X0)
          & open(X0) )
       => open(X7) ),
    inference(negated_conjecture,[],[f17]) ).

fof(f17,conjecture,
    ! [X0,X7] :
      ( ( part_of(X7,X0)
        & open(X0) )
     => open(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_2) ).

fof(f168,plain,
    ~ open(sK3),
    inference(backward_demodulation,[],[f106,f163]) ).

fof(f163,plain,
    sK3 = sK4,
    inference(resolution,[],[f162,f105]) ).

fof(f105,plain,
    part_of(sK4,sK3),
    inference(cnf_transformation,[],[f61]) ).

fof(f162,plain,
    ! [X0] :
      ( ~ part_of(sK4,X0)
      | sK4 = X0 ),
    inference(resolution,[],[f115,f106]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( open(X1)
      | X0 = X1
      | ~ part_of(X1,X0) ),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] :
      ( open(X1)
      | X0 = X1
      | ~ part_of(X1,X0) ),
    inference(flattening,[],[f39]) ).

fof(f39,plain,
    ! [X0,X1] :
      ( open(X1)
      | X0 = X1
      | ~ part_of(X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( ( X0 != X1
        & part_of(X1,X0) )
     => open(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1) ).

fof(f106,plain,
    ~ open(sK4),
    inference(cnf_transformation,[],[f61]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GEO086+1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 06:09:20 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.37  % (7597)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39  % (7598)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39  % (7600)WARNING: value z3 for option sas not known
% 0.22/0.40  % (7599)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.40  % (7602)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)
% 0.22/0.40  % (7601)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.40  % (7603)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)
% 0.22/0.40  % (7604)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)
% 0.22/0.40  % (7600)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)
% 0.22/0.40  % (7603)First to succeed.
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [1]
% 0.22/0.40  TRYING [2]
% 0.22/0.40  % (7603)Refutation found. Thanks to Tanya!
% 0.22/0.40  % SZS status Theorem for theBenchmark
% 0.22/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40  % (7603)------------------------------
% 0.22/0.40  % (7603)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40  % (7603)Termination reason: Refutation
% 0.22/0.40  
% 0.22/0.40  % (7603)Memory used [KB]: 929
% 0.22/0.40  % (7603)Time elapsed: 0.008 s
% 0.22/0.40  % (7603)Instructions burned: 6 (million)
% 0.22/0.40  % (7603)------------------------------
% 0.22/0.40  % (7603)------------------------------
% 0.22/0.40  % (7597)Success in time 0.036 s
% 0.22/0.41  7598 Aborted by signal SIGHUP on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.41  % (7598)------------------------------
% 0.22/0.41  % (7598)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.41  % (7598)Termination reason: Unknown
% 0.22/0.41  % (7598)Termination phase: Finite model building constraint generation
% 0.22/0.41  
% 0.22/0.41  % (7598)Memory used [KB]: 1258
% 0.22/0.41  7604 Aborted by signal SIGHUP on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.41  % (7604)------------------------------
% 0.22/0.41  % (7604)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.41  % (7598)Time elapsed: 0.022 s
% 0.22/0.41  % (7604)Termination reason: Unknown
% 0.22/0.41  % (7604)Termination phase: Saturation
% 0.22/0.41  
% 0.22/0.41  % (7598)Instructions burned: 36 (million)
% 0.22/0.41  % (7604)Memory used [KB]: 970
% 0.22/0.41  % (7604)Time elapsed: 0.012 s
% 0.22/0.41  % (7604)Instructions burned: 8 (million)
% 0.22/0.41  % (7604)------------------------------
% 0.22/0.41  % (7604)------------------------------
% 0.22/0.41  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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% 0.22/0.41  % (7598)------------------------------
% 0.22/0.41  % (7598)------------------------------
% 0.22/0.41  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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%------------------------------------------------------------------------------