TSTP Solution File: CSR075+5 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR075+5 : 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 : n017.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 57.18s 8.79s
% Output   : Refutation 57.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   43 (  15 unt;   0 def)
%            Number of atoms       :  124 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  139 (  58   ~;  49   |;  19   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 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   :   72 (  65   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f363710,plain,
    $false,
    inference(subsumption_resolution,[],[f363456,f39116]) ).

fof(f39116,plain,
    s__subclass(s__Organization,s__Group),
    inference(cnf_transformation,[],[f7808]) ).

fof(f7808,axiom,
    s__subclass(s__Organization,s__Group),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_7890) ).

fof(f363456,plain,
    ~ s__subclass(s__Organization,s__Group),
    inference(resolution,[],[f38935,f277767]) ).

fof(f277767,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Collection)
      | ~ s__subclass(s__Organization,X0) ),
    inference(resolution,[],[f277289,f58078]) ).

fof(f58078,plain,
    ! [X2,X0,X1] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1) ),
    inference(subsumption_resolution,[],[f58077,f52130]) ).

fof(f52130,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f27066]) ).

fof(f27066,plain,
    ! [X0,X1] :
      ( ( s__instance(X1,s__SetOrClass)
        & s__instance(X0,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f19266]) ).

fof(f19266,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(f58077,plain,
    ! [X2,X0,X1] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(subsumption_resolution,[],[f58076,f52129]) ).

fof(f52129,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f27066]) ).

fof(f58076,plain,
    ! [X2,X0,X1] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(subsumption_resolution,[],[f55558,f52129]) ).

fof(f55558,plain,
    ! [X2,X0,X1] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(cnf_transformation,[],[f31889]) ).

fof(f31889,plain,
    ! [X0,X1,X2] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(flattening,[],[f31888]) ).

fof(f31888,plain,
    ! [X0,X1,X2] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X0,s__SetOrClass)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(ennf_transformation,[],[f21759]) ).

fof(f21759,plain,
    ! [X0,X1,X2] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass)
        & s__instance(X2,s__SetOrClass) )
     => ( ( s__subclass(X1,X2)
          & s__subclass(X0,X1) )
       => s__subclass(X0,X2) ) ),
    inference(rectify,[],[f1536]) ).

fof(f1536,axiom,
    ! [X3,X4,X104] :
      ( ( s__instance(X3,s__SetOrClass)
        & s__instance(X4,s__SetOrClass)
        & s__instance(X104,s__SetOrClass) )
     => ( ( s__subclass(X4,X104)
          & s__subclass(X3,X4) )
       => s__subclass(X3,X104) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_1539) ).

fof(f277289,plain,
    ~ s__subclass(s__Organization,s__Collection),
    inference(resolution,[],[f277235,f41296]) ).

fof(f41296,plain,
    s__instance(s__Org1_1,s__Organization),
    inference(cnf_transformation,[],[f16749]) ).

fof(f16749,axiom,
    s__instance(s__Org1_1,s__Organization),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).

fof(f277235,plain,
    ! [X0] :
      ( ~ s__instance(s__Org1_1,X0)
      | ~ s__subclass(X0,s__Collection) ),
    inference(resolution,[],[f58080,f65861]) ).

fof(f65861,plain,
    ~ s__instance(s__Org1_1,s__Collection),
    inference(resolution,[],[f48704,f35822]) ).

fof(f35822,plain,
    ! [X0] : ~ s__member(X0,s__Org1_1),
    inference(cnf_transformation,[],[f22353]) ).

fof(f22353,plain,
    ! [X0] : ~ s__member(X0,s__Org1_1),
    inference(ennf_transformation,[],[f16752]) ).

fof(f16752,plain,
    ~ ? [X0] : s__member(X0,s__Org1_1),
    inference(rectify,[],[f16751]) ).

fof(f16751,negated_conjecture,
    ~ ? [X1222] : s__member(X1222,s__Org1_1),
    inference(negated_conjecture,[],[f16750]) ).

fof(f16750,conjecture,
    ? [X1222] : s__member(X1222,s__Org1_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(f48704,plain,
    ! [X0] :
      ( s__member(sK590(X0),X0)
      | ~ s__instance(X0,s__Collection) ),
    inference(cnf_transformation,[],[f33501]) ).

fof(f33501,plain,
    ! [X0] :
      ( ( s__member(sK590(X0),X0)
        & s__instance(sK590(X0),s__SelfConnectedObject) )
      | ~ s__instance(X0,s__Collection) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK590])],[f24273,f33500]) ).

fof(f33500,plain,
    ! [X0] :
      ( ? [X1] :
          ( s__member(X1,X0)
          & s__instance(X1,s__SelfConnectedObject) )
     => ( s__member(sK590(X0),X0)
        & s__instance(sK590(X0),s__SelfConnectedObject) ) ),
    introduced(choice_axiom,[]) ).

fof(f24273,plain,
    ! [X0] :
      ( ? [X1] :
          ( s__member(X1,X0)
          & s__instance(X1,s__SelfConnectedObject) )
      | ~ s__instance(X0,s__Collection) ),
    inference(ennf_transformation,[],[f17794]) ).

fof(f17794,plain,
    ! [X0] :
      ( s__instance(X0,s__Collection)
     => ? [X1] :
          ( s__member(X1,X0)
          & s__instance(X1,s__SelfConnectedObject) ) ),
    inference(rectify,[],[f733]) ).

fof(f733,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_734) ).

fof(f58080,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1) ),
    inference(subsumption_resolution,[],[f58079,f52130]) ).

fof(f58079,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X1,s__SetOrClass) ),
    inference(subsumption_resolution,[],[f55560,f52129]) ).

fof(f55560,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,[],[f31893]) ).

fof(f31893,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,[],[f31892]) ).

fof(f31892,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,[],[f21761]) ).

fof(f21761,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(f38935,plain,
    s__subclass(s__Group,s__Collection),
    inference(cnf_transformation,[],[f7660]) ).

fof(f7660,axiom,
    s__subclass(s__Group,s__Collection),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_7741) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CSR075+5 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 20:14:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (26891)Running in auto input_syntax mode. Trying TPTP
% 0.47/0.68  % (26894)WARNING: value z3 for option sas not known
% 0.47/0.68  % (26893)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.47/0.68  % (26895)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.47/0.68  % (26892)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.47/0.68  % (26896)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)
% 0.47/0.68  % (26894)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)
% 0.47/0.68  % (26897)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)
% 0.47/0.68  % (26898)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)
% 12.16/2.39  Detected minimum model sizes of [447]
% 12.16/2.39  Detected maximum model sizes of [max]
% 12.16/2.39  Cannot represent all propositional literals internally
% 12.16/2.39  % (26895)Refutation not found, incomplete strategy% (26895)------------------------------
% 12.16/2.39  % (26895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.16/2.39  % (26895)Termination reason: Refutation not found, incomplete strategy
% 12.16/2.39  
% 12.16/2.39  % (26895)Memory used [KB]: 130698
% 12.16/2.39  % (26895)Time elapsed: 1.705 s
% 12.16/2.39  % (26895)Instructions burned: 6582 (million)
% 12.16/2.39  % (26895)------------------------------
% 12.16/2.39  % (26895)------------------------------
% 12.16/2.42  % (26899)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 14.62/2.77  Detected minimum model sizes of [447]
% 14.62/2.77  Detected maximum model sizes of [max]
% 14.62/2.77  Cannot represent all propositional literals internally
% 14.62/2.77  % (26893)Refutation not found, incomplete strategy% (26893)------------------------------
% 14.62/2.77  % (26893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 14.62/2.77  % (26893)Termination reason: Refutation not found, incomplete strategy
% 14.62/2.77  
% 14.62/2.77  % (26893)Memory used [KB]: 138801
% 14.62/2.77  % (26893)Time elapsed: 2.087 s
% 14.62/2.77  % (26893)Instructions burned: 8290 (million)
% 14.62/2.78  % (26893)------------------------------
% 14.62/2.78  % (26893)------------------------------
% 14.62/2.80  % (26900)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)
% 22.25/3.78  Detected minimum model sizes of [447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447,447]
% 22.25/3.78  Detected maximum model sizes of [max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,max,4,max,7,max,max]
% 22.25/3.78  Cannot represent all propositional literals internally
% 22.25/3.78  % (26899)Refutation not found, incomplete strategy% (26899)------------------------------
% 22.25/3.78  % (26899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 22.25/3.78  % (26899)Termination reason: Refutation not found, incomplete strategy
% 22.25/3.78  
% 22.25/3.78  % (26899)Memory used [KB]: 118962
% 22.25/3.78  % (26899)Time elapsed: 1.369 s
% 22.25/3.78  % (26899)Instructions burned: 5384 (million)
% 22.32/3.79  % (26899)------------------------------
% 22.32/3.79  % (26899)------------------------------
% 22.47/3.81  % (26901)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)
% 25.40/4.25  Detected minimum model sizes of [447]
% 25.40/4.25  Detected maximum model sizes of [max]
% 25.40/4.25  Cannot represent all propositional literals internally
% 25.40/4.25  % (26892)Refutation not found, incomplete strategy% (26892)------------------------------
% 25.40/4.25  % (26892)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 25.40/4.25  % (26892)Termination reason: Refutation not found, incomplete strategy
% 25.40/4.25  
% 25.40/4.25  % (26892)Memory used [KB]: 268790
% 25.40/4.25  % (26892)Time elapsed: 3.564 s
% 25.40/4.25  % (26892)Instructions burned: 12918 (million)
% 25.40/4.27  % (26892)------------------------------
% 25.40/4.27  % (26892)------------------------------
% 25.85/4.30  % (26902)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)
% 57.18/8.76  % (26901)First to succeed.
% 57.18/8.77  % (26901)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26891"
% 57.18/8.79  % (26901)Refutation found. Thanks to Tanya!
% 57.18/8.79  % SZS status Theorem for theBenchmark
% 57.18/8.79  % SZS output start Proof for theBenchmark
% See solution above
% 57.18/8.79  % (26901)------------------------------
% 57.18/8.79  % (26901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 57.18/8.79  % (26901)Termination reason: Refutation
% 57.18/8.79  
% 57.18/8.79  % (26901)Memory used [KB]: 112776
% 57.18/8.79  % (26901)Time elapsed: 4.960 s
% 57.18/8.79  % (26901)Instructions burned: 18746 (million)
% 57.18/8.79  % (26891)Success in time 8.397 s
%------------------------------------------------------------------------------