TSTP Solution File: CSR086+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR086+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 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 : Mon May 20 19:44:47 EDT 2024

% Result   : Theorem 117.66s 17.56s
% Output   : Refutation 117.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   38 (  15 unt;   0 def)
%            Number of atoms       :  106 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  118 (  50   ~;  38   |;  18   &)
%                                         (   3 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   50 (  41   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73775,plain,
    $false,
    inference(resolution,[],[f72511,f26956]) ).

fof(f26956,plain,
    s__subclass(s__GraphLoop,s__GraphArc),
    inference(cnf_transformation,[],[f3587]) ).

fof(f3587,axiom,
    s__subclass(s__GraphLoop,s__GraphArc),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_3600) ).

fof(f72511,plain,
    ! [X0] : ~ s__subclass(X0,s__GraphArc),
    inference(resolution,[],[f72498,f38966]) ).

fof(f38966,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f19567]) ).

fof(f19567,plain,
    ! [X0,X1] :
      ( ( s__instance(X1,s__SetOrClass)
        & s__instance(X0,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f15865]) ).

fof(f15865,plain,
    ! [X0,X1] :
      ( s__subclass(X0,X1)
     => ( s__instance(X1,s__SetOrClass)
        & s__instance(X0,s__SetOrClass) ) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ! [X5,X6] :
      ( s__subclass(X5,X6)
     => ( s__instance(X6,s__SetOrClass)
        & s__instance(X5,s__SetOrClass) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_26) ).

fof(f72498,plain,
    ~ s__instance(s__GraphArc,s__SetOrClass),
    inference(resolution,[],[f72491,f27216]) ).

fof(f27216,plain,
    s__subclass(s__GraphLoop,s__Entity),
    inference(cnf_transformation,[],[f11340]) ).

fof(f11340,axiom,
    s__subclass(s__GraphLoop,s__Entity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMOcache_4123) ).

fof(f72491,plain,
    ! [X0] :
      ( ~ s__subclass(s__GraphLoop,X0)
      | ~ s__instance(s__GraphArc,s__SetOrClass) ),
    inference(resolution,[],[f72481,f38965]) ).

fof(f38965,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f19567]) ).

fof(f72481,plain,
    ( ~ s__instance(s__GraphLoop,s__SetOrClass)
    | ~ s__instance(s__GraphArc,s__SetOrClass) ),
    inference(resolution,[],[f72478,f29962]) ).

fof(f29962,plain,
    s__instance(s__Arc13_1,s__GraphLoop),
    inference(cnf_transformation,[],[f14788]) ).

fof(f14788,axiom,
    s__instance(s__Arc13_1,s__GraphLoop),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).

fof(f72478,plain,
    ( ~ s__instance(s__Arc13_1,s__GraphLoop)
    | ~ s__instance(s__GraphLoop,s__SetOrClass)
    | ~ s__instance(s__GraphArc,s__SetOrClass) ),
    inference(resolution,[],[f72465,f26956]) ).

fof(f72465,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__GraphArc)
      | ~ s__instance(s__Arc13_1,X0)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(s__GraphArc,s__SetOrClass) ),
    inference(resolution,[],[f40719,f48516]) ).

fof(f48516,plain,
    ~ s__instance(s__Arc13_1,s__GraphArc),
    inference(resolution,[],[f48515,f29962]) ).

fof(f48515,plain,
    ( ~ s__instance(s__Arc13_1,s__GraphLoop)
    | ~ s__instance(s__Arc13_1,s__GraphArc) ),
    inference(resolution,[],[f37799,f25174]) ).

fof(f25174,plain,
    ! [X0] : ~ s__links(X0,X0,s__Arc13_1),
    inference(cnf_transformation,[],[f17620]) ).

fof(f17620,plain,
    ! [X0] : ~ s__links(X0,X0,s__Arc13_1),
    inference(ennf_transformation,[],[f14792]) ).

fof(f14792,plain,
    ~ ? [X0] : s__links(X0,X0,s__Arc13_1),
    inference(rectify,[],[f14790]) ).

fof(f14790,negated_conjecture,
    ~ ? [X590] : s__links(X590,X590,s__Arc13_1),
    inference(negated_conjecture,[],[f14789]) ).

fof(f14789,conjecture,
    ? [X590] : s__links(X590,X590,s__Arc13_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO) ).

fof(f37799,plain,
    ! [X0] :
      ( s__links(sK163(X0),sK163(X0),X0)
      | ~ s__instance(X0,s__GraphLoop)
      | ~ s__instance(X0,s__GraphArc) ),
    inference(cnf_transformation,[],[f23004]) ).

fof(f23004,plain,
    ! [X0] :
      ( ( ( s__instance(X0,s__GraphLoop)
          | ! [X1] :
              ( ~ s__links(X1,X1,X0)
              | ~ s__instance(X1,s__GraphNode) ) )
        & ( ( s__links(sK163(X0),sK163(X0),X0)
            & s__instance(sK163(X0),s__GraphNode) )
          | ~ s__instance(X0,s__GraphLoop) ) )
      | ~ s__instance(X0,s__GraphArc) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK163])],[f23002,f23003]) ).

fof(f23003,plain,
    ! [X0] :
      ( ? [X2] :
          ( s__links(X2,X2,X0)
          & s__instance(X2,s__GraphNode) )
     => ( s__links(sK163(X0),sK163(X0),X0)
        & s__instance(sK163(X0),s__GraphNode) ) ),
    introduced(choice_axiom,[]) ).

fof(f23002,plain,
    ! [X0] :
      ( ( ( s__instance(X0,s__GraphLoop)
          | ! [X1] :
              ( ~ s__links(X1,X1,X0)
              | ~ s__instance(X1,s__GraphNode) ) )
        & ( ? [X2] :
              ( s__links(X2,X2,X0)
              & s__instance(X2,s__GraphNode) )
          | ~ s__instance(X0,s__GraphLoop) ) )
      | ~ s__instance(X0,s__GraphArc) ),
    inference(rectify,[],[f23001]) ).

fof(f23001,plain,
    ! [X0] :
      ( ( ( s__instance(X0,s__GraphLoop)
          | ! [X1] :
              ( ~ s__links(X1,X1,X0)
              | ~ s__instance(X1,s__GraphNode) ) )
        & ( ? [X1] :
              ( s__links(X1,X1,X0)
              & s__instance(X1,s__GraphNode) )
          | ~ s__instance(X0,s__GraphLoop) ) )
      | ~ s__instance(X0,s__GraphArc) ),
    inference(nnf_transformation,[],[f18534]) ).

fof(f18534,plain,
    ! [X0] :
      ( ( s__instance(X0,s__GraphLoop)
      <=> ? [X1] :
            ( s__links(X1,X1,X0)
            & s__instance(X1,s__GraphNode) ) )
      | ~ s__instance(X0,s__GraphArc) ),
    inference(ennf_transformation,[],[f15266]) ).

fof(f15266,plain,
    ! [X0] :
      ( s__instance(X0,s__GraphArc)
     => ( s__instance(X0,s__GraphLoop)
      <=> ? [X1] :
            ( s__links(X1,X1,X0)
            & s__instance(X1,s__GraphNode) ) ) ),
    inference(rectify,[],[f3590]) ).

fof(f3590,axiom,
    ! [X184] :
      ( s__instance(X184,s__GraphArc)
     => ( s__instance(X184,s__GraphLoop)
      <=> ? [X185] :
            ( s__links(X185,X185,X184)
            & s__instance(X185,s__GraphNode) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_3603) ).

fof(f40719,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f22254]) ).

fof(f22254,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass) ),
    inference(flattening,[],[f22253]) ).

fof(f22253,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass) ),
    inference(ennf_transformation,[],[f17258]) ).

fof(f17258,plain,
    ! [X0,X1,X2] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
     => ( ( s__instance(X2,X0)
          & s__subclass(X0,X1) )
       => s__instance(X2,X1) ) ),
    inference(rectify,[],[f27]) ).

fof(f27,axiom,
    ! [X5,X6,X7] :
      ( ( s__instance(X5,s__SetOrClass)
        & s__instance(X6,s__SetOrClass) )
     => ( ( s__instance(X7,X5)
          & s__subclass(X5,X6) )
       => s__instance(X7,X6) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_27) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CSR086+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37  % Computer : n018.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Sun May 19 00:24:53 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  % (352)Running in auto input_syntax mode. Trying TPTP
% 0.61/0.83  % (355)WARNING: value z3 for option sas not known
% 0.61/0.83  % (355)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)
% 0.61/0.83  % (353)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.61/0.83  % (354)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.61/0.83  % (356)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.61/0.83  % (357)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)
% 0.61/0.83  % (358)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)
% 0.61/0.83  % (359)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)
% 6.66/1.75  Detected minimum model sizes of [51]
% 6.66/1.75  Detected maximum model sizes of [max]
% 6.66/1.75  Cannot represent all propositional literals internally
% 6.66/1.75  % (356)Refutation not found, incomplete strategy% (356)------------------------------
% 6.66/1.75  % (356)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.66/1.75  % (356)Termination reason: Refutation not found, incomplete strategy
% 6.66/1.75  
% 6.66/1.75  % (356)Memory used [KB]: 41803
% 6.66/1.75  % (356)Time elapsed: 0.917 s
% 6.66/1.75  % (356)Instructions burned: 2068 (million)
% 6.66/1.75  % (356)------------------------------
% 6.66/1.75  % (356)------------------------------
% 6.66/1.77  % (360)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 12.04/2.48  Detected minimum model sizes of [51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51]
% 12.04/2.48  Detected maximum model sizes of [max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,2,max]
% 12.04/2.48  Cannot represent all propositional literals internally
% 12.04/2.48  % (360)Refutation not found, incomplete strategy% (360)------------------------------
% 12.04/2.48  % (360)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.04/2.48  % (360)Termination reason: Refutation not found, incomplete strategy
% 12.04/2.48  
% 12.04/2.48  % (360)Memory used [KB]: 35921
% 12.04/2.48  % (360)Time elapsed: 0.697 s
% 12.04/2.48  % (360)Instructions burned: 1563 (million)
% 12.20/2.49  % (360)------------------------------
% 12.20/2.49  % (360)------------------------------
% 12.20/2.49  Detected minimum model sizes of [51]
% 12.20/2.49  Detected maximum model sizes of [max]
% 12.20/2.49  Cannot represent all propositional literals internally
% 12.20/2.49  % (354)Refutation not found, incomplete strategy% (354)------------------------------
% 12.20/2.49  % (354)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.20/2.49  % (354)Termination reason: Refutation not found, incomplete strategy
% 12.20/2.49  
% 12.20/2.49  % (354)Memory used [KB]: 55335
% 12.20/2.49  % (354)Time elapsed: 1.661 s
% 12.20/2.49  % (354)Instructions burned: 3636 (million)
% 12.20/2.49  % (354)------------------------------
% 12.20/2.49  % (354)------------------------------
% 12.20/2.51  % (361)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 12.20/2.52  % (362)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 16.15/3.05  Detected minimum model sizes of [51]
% 16.15/3.05  Detected maximum model sizes of [max]
% 16.15/3.05  Cannot represent all propositional literals internally
% 16.15/3.05  % (353)Refutation not found, incomplete strategy% (353)------------------------------
% 16.15/3.05  % (353)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 16.15/3.05  % (353)Termination reason: Refutation not found, incomplete strategy
% 16.15/3.05  
% 16.15/3.05  % (353)Memory used [KB]: 84855
% 16.15/3.05  % (353)Time elapsed: 2.226 s
% 16.15/3.05  % (353)Instructions burned: 5020 (million)
% 16.15/3.07  % (353)------------------------------
% 16.15/3.07  % (353)------------------------------
% 16.43/3.09  % (363)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 117.13/17.55  % (358)First to succeed.
% 117.13/17.56  % (358)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-352"
% 117.66/17.56  % (358)Refutation found. Thanks to Tanya!
% 117.66/17.56  % SZS status Theorem for theBenchmark
% 117.66/17.56  % SZS output start Proof for theBenchmark
% See solution above
% 117.66/17.56  % (358)------------------------------
% 117.66/17.56  % (358)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 117.66/17.56  % (358)Termination reason: Refutation
% 117.66/17.56  
% 117.66/17.56  % (358)Memory used [KB]: 51947
% 117.66/17.56  % (358)Time elapsed: 16.720 s
% 117.66/17.56  % (358)Instructions burned: 40076 (million)
% 117.66/17.56  % (352)Success in time 17.142 s
%------------------------------------------------------------------------------