TSTP Solution File: CSR075+4 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR075+4 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n006.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 05:01:54 EDT 2024

% Result   : Theorem 8.22s 1.73s
% Output   : Refutation 8.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   33 (  15 unt;   0 def)
%            Number of atoms       :   78 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   74 (  29   ~;  23   |;  13   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-1 aty)
%            Number of variables   :   46 (  39   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f116550,plain,
    $false,
    inference(subsumption_resolution,[],[f111312,f114341]) ).

fof(f114341,plain,
    s__instance(s__Org1_1,s__Group),
    inference(unit_resulting_resolution,[],[f20205,f19496,f27784]) ).

fof(f27784,plain,
    ! [X2,X0,X1] :
      ( ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | s__instance(X2,X1) ),
    inference(subsumption_resolution,[],[f27783,f24778]) ).

fof(f24778,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f11997]) ).

fof(f11997,plain,
    ! [X0,X1] :
      ( ( s__instance(X1,s__SetOrClass)
        & s__instance(X0,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f8295]) ).

fof(f8295,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/sandbox/benchmark/theBenchmark.p',kb_SUMO_26) ).

fof(f27783,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X1,s__SetOrClass) ),
    inference(subsumption_resolution,[],[f26657,f24777]) ).

fof(f24777,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f11997]) ).

fof(f26657,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,[],[f14684]) ).

fof(f14684,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,[],[f14683]) ).

fof(f14683,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,[],[f9688]) ).

fof(f9688,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/sandbox/benchmark/theBenchmark.p',kb_SUMO_27) ).

fof(f19496,plain,
    s__subclass(s__Organization,s__Group),
    inference(cnf_transformation,[],[f6614]) ).

fof(f6614,axiom,
    s__subclass(s__Organization,s__Group),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_6696) ).

fof(f20205,plain,
    s__instance(s__Org1_1,s__Organization),
    inference(cnf_transformation,[],[f7218]) ).

fof(f7218,axiom,
    s__instance(s__Org1_1,s__Organization),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).

fof(f111312,plain,
    ~ s__instance(s__Org1_1,s__Group),
    inference(unit_resulting_resolution,[],[f61832,f19267,f27784]) ).

fof(f19267,plain,
    s__subclass(s__Group,s__Collection),
    inference(cnf_transformation,[],[f6466]) ).

fof(f6466,axiom,
    s__subclass(s__Group,s__Collection),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_6547) ).

fof(f61832,plain,
    ~ s__instance(s__Org1_1,s__Collection),
    inference(unit_resulting_resolution,[],[f18412,f23559]) ).

fof(f23559,plain,
    ! [X0] :
      ( ~ s__instance(X0,s__Collection)
      | s__member(sK448(X0),X0) ),
    inference(cnf_transformation,[],[f15971]) ).

fof(f15971,plain,
    ! [X0] :
      ( ( s__member(sK448(X0),X0)
        & s__instance(sK448(X0),s__SelfConnectedObject) )
      | ~ s__instance(X0,s__Collection) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK448])],[f10986,f15970]) ).

fof(f15970,plain,
    ! [X0] :
      ( ? [X1] :
          ( s__member(X1,X0)
          & s__instance(X1,s__SelfConnectedObject) )
     => ( s__member(sK448(X0),X0)
        & s__instance(sK448(X0),s__SelfConnectedObject) ) ),
    introduced(choice_axiom,[]) ).

fof(f10986,plain,
    ! [X0] :
      ( ? [X1] :
          ( s__member(X1,X0)
          & s__instance(X1,s__SelfConnectedObject) )
      | ~ s__instance(X0,s__Collection) ),
    inference(ennf_transformation,[],[f7713]) ).

fof(f7713,plain,
    ! [X0] :
      ( s__instance(X0,s__Collection)
     => ? [X1] :
          ( s__member(X1,X0)
          & s__instance(X1,s__SelfConnectedObject) ) ),
    inference(rectify,[],[f629]) ).

fof(f629,axiom,
    ! [X84] :
      ( s__instance(X84,s__Collection)
     => ? [X50] :
          ( s__member(X50,X84)
          & s__instance(X50,s__SelfConnectedObject) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_630) ).

fof(f18412,plain,
    ! [X0] : ~ s__member(X0,s__Org1_1),
    inference(cnf_transformation,[],[f10050]) ).

fof(f10050,plain,
    ! [X0] : ~ s__member(X0,s__Org1_1),
    inference(ennf_transformation,[],[f7222]) ).

fof(f7222,plain,
    ~ ? [X0] : s__member(X0,s__Org1_1),
    inference(rectify,[],[f7220]) ).

fof(f7220,negated_conjecture,
    ~ ? [X590] : s__member(X590,s__Org1_1),
    inference(negated_conjecture,[],[f7219]) ).

fof(f7219,conjecture,
    ? [X590] : s__member(X590,s__Org1_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CSR075+4 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.33  % Computer : n006.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Fri May  3 20:16:53 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  % (5625)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.55  % (5635)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)
% 0.38/0.55  % (5632)WARNING: value z3 for option sas not known
% 0.38/0.56  % (5630)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.38/0.56  % (5631)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.38/0.56  % (5632)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)
% 0.38/0.56  % (5633)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.38/0.56  % (5634)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)
% 0.38/0.56  % (5636)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)
% 0.39/1.05  Detected minimum model sizes of [51]
% 0.39/1.05  Detected maximum model sizes of [max]
% 0.39/1.05  Cannot represent all propositional literals internally
% 0.39/1.05  % (5633)Refutation not found, incomplete strategy% (5633)------------------------------
% 0.39/1.05  % (5633)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.39/1.05  % (5633)Termination reason: Refutation not found, incomplete strategy
% 0.39/1.05  
% 0.39/1.05  % (5633)Memory used [KB]: 37020
% 0.39/1.05  % (5633)Time elapsed: 0.499 s
% 0.39/1.05  % (5633)Instructions burned: 1666 (million)
% 0.39/1.06  % (5633)------------------------------
% 0.39/1.06  % (5633)------------------------------
% 3.95/1.07  % (5733)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 5.71/1.40  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]
% 5.71/1.40  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]
% 5.71/1.40  Cannot represent all propositional literals internally
% 5.71/1.40  % (5733)Refutation not found, incomplete strategy% (5733)------------------------------
% 5.71/1.40  % (5733)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.71/1.40  % (5733)Termination reason: Refutation not found, incomplete strategy
% 5.71/1.40  
% 5.71/1.40  % (5733)Memory used [KB]: 31210
% 5.71/1.40  % (5733)Time elapsed: 0.332 s
% 5.71/1.40  % (5733)Instructions burned: 1294 (million)
% 5.71/1.41  % (5733)------------------------------
% 5.71/1.41  % (5733)------------------------------
% 5.71/1.42  % (5857)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)
% 8.22/1.72  % (5636)First to succeed.
% 8.22/1.72  % (5636)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5625"
% 8.22/1.73  % (5636)Refutation found. Thanks to Tanya!
% 8.22/1.73  % SZS status Theorem for theBenchmark
% 8.22/1.73  % SZS output start Proof for theBenchmark
% See solution above
% 8.22/1.73  % (5636)------------------------------
% 8.22/1.73  % (5636)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 8.22/1.73  % (5636)Termination reason: Refutation
% 8.22/1.73  
% 8.22/1.73  % (5636)Memory used [KB]: 48652
% 8.22/1.73  % (5636)Time elapsed: 1.160 s
% 8.22/1.73  % (5636)Instructions burned: 3946 (million)
% 8.22/1.73  % (5625)Success in time 1.373 s
%------------------------------------------------------------------------------