TSTP Solution File: CSR118+5 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR118+5 : 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 : n023.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 19:46:01 EDT 2024

% Result   : Theorem 81.22s 12.46s
% Output   : Refutation 81.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   39 (  16 unt;   0 def)
%            Number of atoms       :  109 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  126 (  56   ~;  47   |;  13   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   58 (  58   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f381918,plain,
    $false,
    inference(subsumption_resolution,[],[f381914,f39131]) ).

fof(f39131,plain,
    s__subclass(s__Human,s__Hominid),
    inference(cnf_transformation,[],[f7206]) ).

fof(f7206,axiom,
    s__subclass(s__Human,s__Hominid),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_7280) ).

fof(f381914,plain,
    ~ s__subclass(s__Human,s__Hominid),
    inference(resolution,[],[f361994,f37681]) ).

fof(f37681,plain,
    s__subclass(s__Hominid,s__Primate),
    inference(cnf_transformation,[],[f7203]) ).

fof(f7203,axiom,
    s__subclass(s__Hominid,s__Primate),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_7277) ).

fof(f361994,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Primate)
      | ~ s__subclass(s__Human,X0) ),
    inference(resolution,[],[f361741,f58077]) ).

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

fof(f52129,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f27065]) ).

fof(f27065,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(f58076,plain,
    ! [X2,X0,X1] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(subsumption_resolution,[],[f58075,f52128]) ).

fof(f52128,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f27065]) ).

fof(f58075,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,[],[f55557,f52128]) ).

fof(f55557,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,[],[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(flattening,[],[f31887]) ).

fof(f31887,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(f361741,plain,
    ~ s__subclass(s__Human,s__Primate),
    inference(resolution,[],[f38751,f277841]) ).

fof(f277841,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Mammal)
      | ~ s__subclass(s__Human,X0) ),
    inference(resolution,[],[f277340,f58077]) ).

fof(f277340,plain,
    ~ s__subclass(s__Human,s__Mammal),
    inference(resolution,[],[f277315,f41295]) ).

fof(f41295,plain,
    s__instance(s__AbrahamLincoln,s__Human),
    inference(cnf_transformation,[],[f16749]) ).

fof(f16749,axiom,
    s__instance(s__AbrahamLincoln,s__Human),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abe_human) ).

fof(f277315,plain,
    ! [X0] :
      ( ~ s__instance(s__AbrahamLincoln,X0)
      | ~ s__subclass(X0,s__Mammal) ),
    inference(resolution,[],[f58079,f35821]) ).

fof(f35821,plain,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(cnf_transformation,[],[f16752]) ).

fof(f16752,plain,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(flattening,[],[f16751]) ).

fof(f16751,negated_conjecture,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(negated_conjecture,[],[f16750]) ).

fof(f16750,conjecture,
    s__instance(s__AbrahamLincoln,s__Mammal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',abe_mammal) ).

fof(f58079,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1) ),
    inference(subsumption_resolution,[],[f58078,f52129]) ).

fof(f58078,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X1,s__SetOrClass) ),
    inference(subsumption_resolution,[],[f55559,f52128]) ).

fof(f55559,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,[],[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(flattening,[],[f31891]) ).

fof(f31891,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(f38751,plain,
    s__subclass(s__Primate,s__Mammal),
    inference(cnf_transformation,[],[f7193]) ).

fof(f7193,axiom,
    s__subclass(s__Primate,s__Mammal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_7267) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : CSR118+5 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.02/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n023.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Sun May 19 01:20:38 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  % (3433)Running in auto input_syntax mode. Trying TPTP
% 0.71/0.92  % (3436)WARNING: value z3 for option sas not known
% 0.71/0.92  % (3434)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.71/0.92  % (3435)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.71/0.92  % (3436)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)
% 0.71/0.92  % (3437)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.71/0.92  % (3438)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)
% 0.71/0.92  % (3439)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)
% 0.71/0.92  % (3440)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)
% 17.39/3.35  Detected minimum model sizes of [447]
% 17.39/3.35  Detected maximum model sizes of [max]
% 17.39/3.35  Cannot represent all propositional literals internally
% 17.39/3.35  % (3435)Refutation not found, incomplete strategy% (3435)------------------------------
% 17.39/3.35  % (3435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 17.39/3.35  % (3435)Termination reason: Refutation not found, incomplete strategy
% 17.39/3.35  
% 17.39/3.35  % (3435)Memory used [KB]: 143441
% 17.39/3.35  % (3435)Time elapsed: 2.428 s
% 17.39/3.35  % (3435)Instructions burned: 8732 (million)
% 17.39/3.36  % (3435)------------------------------
% 17.39/3.36  % (3435)------------------------------
% 17.89/3.39  % (3441)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 18.94/3.60  Detected minimum model sizes of [447]
% 18.94/3.60  Detected maximum model sizes of [max]
% 18.94/3.60  Cannot represent all propositional literals internally
% 18.94/3.60  % (3437)Refutation not found, incomplete strategy% (3437)------------------------------
% 18.94/3.60  % (3437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 18.94/3.60  % (3437)Termination reason: Refutation not found, incomplete strategy
% 18.94/3.60  
% 18.94/3.60  % (3437)Memory used [KB]: 130058
% 18.94/3.60  % (3437)Time elapsed: 2.670 s
% 18.94/3.60  % (3437)Instructions burned: 6539 (million)
% 18.94/3.61  % (3437)------------------------------
% 18.94/3.61  % (3437)------------------------------
% 19.57/3.64  % (3442)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)
% 30.08/5.14  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]
% 30.08/5.14  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]
% 30.08/5.14  Cannot represent all propositional literals internally
% 30.08/5.14  % (3441)Refutation not found, incomplete strategy% (3441)------------------------------
% 30.08/5.14  % (3441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 30.08/5.14  % (3441)Termination reason: Refutation not found, incomplete strategy
% 30.08/5.14  
% 30.08/5.14  % (3441)Memory used [KB]: 118962
% 30.08/5.14  % (3441)Time elapsed: 1.749 s
% 30.08/5.14  % (3441)Instructions burned: 5383 (million)
% 30.08/5.15  % (3441)------------------------------
% 30.08/5.15  % (3441)------------------------------
% 30.08/5.17  % (3444)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)
% 33.40/5.67  Detected minimum model sizes of [447]
% 33.40/5.67  Detected maximum model sizes of [max]
% 33.40/5.67  Cannot represent all propositional literals internally
% 33.40/5.67  % (3434)Refutation not found, incomplete strategy% (3434)------------------------------
% 33.40/5.67  % (3434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 33.40/5.67  % (3434)Termination reason: Refutation not found, incomplete strategy
% 33.40/5.67  
% 33.40/5.67  % (3434)Memory used [KB]: 268149
% 33.40/5.67  % (3434)Time elapsed: 4.748 s
% 33.40/5.67  % (3434)Instructions burned: 12885 (million)
% 33.40/5.69  % (3434)------------------------------
% 33.40/5.69  % (3434)------------------------------
% 34.16/5.72  % (3445)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)
% 81.22/12.43  % (3444)First to succeed.
% 81.22/12.44  % (3444)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3433"
% 81.22/12.46  % (3444)Refutation found. Thanks to Tanya!
% 81.22/12.46  % SZS status Theorem for theBenchmark
% 81.22/12.46  % SZS output start Proof for theBenchmark
% See solution above
% 81.22/12.46  % (3444)------------------------------
% 81.22/12.46  % (3444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 81.22/12.46  % (3444)Termination reason: Refutation
% 81.22/12.46  
% 81.22/12.46  % (3444)Memory used [KB]: 119244
% 81.22/12.46  % (3444)Time elapsed: 7.270 s
% 81.22/12.46  % (3444)Instructions burned: 27524 (million)
% 81.22/12.46  % (3433)Success in time 12.031 s
%------------------------------------------------------------------------------