TSTP Solution File: CSR118+4 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR118+4 : 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 : n025.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 19:46:00 EDT 2024

% Result   : Theorem 18.36s 3.33s
% Output   : Refutation 18.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   36 (  16 unt;   0 def)
%            Number of atoms       :  103 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  116 (  49   ~;  44   |;  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   :   55 (  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f116544,plain,
    $false,
    inference(subsumption_resolution,[],[f116542,f103214]) ).

fof(f103214,plain,
    s__subclass(s__Human,s__Primate),
    inference(unit_resulting_resolution,[],[f19522,f19039,f27781]) ).

fof(f27781,plain,
    ! [X2,X0,X1] :
      ( ~ s__subclass(X1,X2)
      | s__subclass(X0,X2)
      | ~ s__subclass(X0,X1) ),
    inference(subsumption_resolution,[],[f27780,f24777]) ).

fof(f24777,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X1,s__SetOrClass) ),
    inference(cnf_transformation,[],[f11996]) ).

fof(f11996,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/sandbox2/benchmark/theBenchmark.p',kb_SUMO_26) ).

fof(f27780,plain,
    ! [X2,X0,X1] :
      ( s__subclass(X0,X2)
      | ~ s__subclass(X1,X2)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,s__SetOrClass) ),
    inference(subsumption_resolution,[],[f27779,f24776]) ).

fof(f24776,plain,
    ! [X0,X1] :
      ( ~ s__subclass(X0,X1)
      | s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f11996]) ).

fof(f27779,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,[],[f26654,f24776]) ).

fof(f26654,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,[],[f14679]) ).

fof(f14679,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,[],[f14678]) ).

fof(f14678,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,[],[f9686]) ).

fof(f9686,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,[],[f1291]) ).

fof(f1291,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/sandbox2/benchmark/theBenchmark.p',kb_SUMO_1294) ).

fof(f19039,plain,
    s__subclass(s__Hominid,s__Primate),
    inference(cnf_transformation,[],[f6009]) ).

fof(f6009,axiom,
    s__subclass(s__Hominid,s__Primate),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_6083) ).

fof(f19522,plain,
    s__subclass(s__Human,s__Hominid),
    inference(cnf_transformation,[],[f6012]) ).

fof(f6012,axiom,
    s__subclass(s__Human,s__Hominid),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_6086) ).

fof(f116542,plain,
    ~ s__subclass(s__Human,s__Primate),
    inference(unit_resulting_resolution,[],[f19302,f106899,f27781]) ).

fof(f106899,plain,
    ~ s__subclass(s__Human,s__Mammal),
    inference(unit_resulting_resolution,[],[f18411,f20204,f27783]) ).

fof(f27783,plain,
    ! [X2,X0,X1] :
      ( ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | s__instance(X2,X1) ),
    inference(subsumption_resolution,[],[f27782,f24777]) ).

fof(f27782,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__instance(X2,X0)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X1,s__SetOrClass) ),
    inference(subsumption_resolution,[],[f26656,f24776]) ).

fof(f26656,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,[],[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(flattening,[],[f14682]) ).

fof(f14682,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/sandbox2/benchmark/theBenchmark.p',kb_SUMO_27) ).

fof(f20204,plain,
    s__instance(s__AbrahamLincoln,s__Human),
    inference(cnf_transformation,[],[f7218]) ).

fof(f7218,axiom,
    s__instance(s__AbrahamLincoln,s__Human),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abe_human) ).

fof(f18411,plain,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(cnf_transformation,[],[f7222]) ).

fof(f7222,plain,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(flattening,[],[f7220]) ).

fof(f7220,negated_conjecture,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(negated_conjecture,[],[f7219]) ).

fof(f7219,conjecture,
    s__instance(s__AbrahamLincoln,s__Mammal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abe_mammal) ).

fof(f19302,plain,
    s__subclass(s__Primate,s__Mammal),
    inference(cnf_transformation,[],[f5999]) ).

fof(f5999,axiom,
    s__subclass(s__Primate,s__Mammal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_6073) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CSR118+4 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.07/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 02:33:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (1675)Running in auto input_syntax mode. Trying TPTP
% 0.52/0.74  % (1678)WARNING: value z3 for option sas not known
% 0.52/0.74  % (1678)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)
% 0.52/0.74  % (1680)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)
% 0.52/0.74  % (1676)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.52/0.75  % (1679)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.52/0.75  % (1677)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.52/0.75  % (1681)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)
% 0.52/0.75  % (1682)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)
% 6.39/1.58  Detected minimum model sizes of [51]
% 6.39/1.58  Detected maximum model sizes of [max]
% 6.39/1.58  Cannot represent all propositional literals internally
% 6.39/1.58  % (1679)Refutation not found, incomplete strategy% (1679)------------------------------
% 6.39/1.58  % (1679)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.39/1.58  % (1679)Termination reason: Refutation not found, incomplete strategy
% 6.39/1.58  
% 6.39/1.58  % (1679)Memory used [KB]: 34780
% 6.39/1.58  % (1679)Time elapsed: 0.834 s
% 6.39/1.58  % (1679)Instructions burned: 1649 (million)
% 6.39/1.58  % (1679)------------------------------
% 6.39/1.58  % (1679)------------------------------
% 6.39/1.61  % (1683)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 10.57/2.25  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]
% 10.57/2.25  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]
% 10.57/2.25  Cannot represent all propositional literals internally
% 10.57/2.25  % (1683)Refutation not found, incomplete strategy% (1683)------------------------------
% 10.57/2.25  % (1683)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 10.57/2.25  % (1683)Termination reason: Refutation not found, incomplete strategy
% 10.57/2.25  
% 10.57/2.25  % (1683)Memory used [KB]: 31210
% 10.57/2.25  % (1683)Time elapsed: 0.645 s
% 10.57/2.25  % (1683)Instructions burned: 1294 (million)
% 11.17/2.26  % (1683)------------------------------
% 11.17/2.26  % (1683)------------------------------
% 11.17/2.28  % (1684)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)
% 12.39/2.47  Detected minimum model sizes of [51]
% 12.39/2.47  Detected maximum model sizes of [max]
% 12.39/2.47  Cannot represent all propositional literals internally
% 12.39/2.47  % (1677)Refutation not found, incomplete strategy% (1677)------------------------------
% 12.39/2.47  % (1677)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 12.39/2.47  % (1677)Termination reason: Refutation not found, incomplete strategy
% 12.39/2.47  
% 12.39/2.47  % (1677)Memory used [KB]: 46346
% 12.39/2.47  % (1677)Time elapsed: 1.728 s
% 12.39/2.47  % (1677)Instructions burned: 2850 (million)
% 12.39/2.48  % (1677)------------------------------
% 12.39/2.48  % (1677)------------------------------
% 12.39/2.50  % (1685)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)
% 15.84/3.01  Detected minimum model sizes of [51]
% 15.84/3.01  Detected maximum model sizes of [max]
% 15.84/3.01  Cannot represent all propositional literals internally
% 15.84/3.01  % (1676)Refutation not found, incomplete strategy% (1676)------------------------------
% 15.84/3.01  % (1676)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 15.84/3.01  % (1676)Termination reason: Refutation not found, incomplete strategy
% 15.84/3.01  
% 15.84/3.01  % (1676)Memory used [KB]: 76892
% 15.84/3.01  % (1676)Time elapsed: 2.268 s
% 15.84/3.01  % (1676)Instructions burned: 4585 (million)
% 16.52/3.02  % (1676)------------------------------
% 16.52/3.02  % (1676)------------------------------
% 16.52/3.06  % (1686)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)
% 18.23/3.31  % (1682)First to succeed.
% 18.23/3.31  % (1682)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1675"
% 18.36/3.33  % (1682)Refutation found. Thanks to Tanya!
% 18.36/3.33  % SZS status Theorem for theBenchmark
% 18.36/3.33  % SZS output start Proof for theBenchmark
% See solution above
% 18.36/3.33  % (1682)------------------------------
% 18.36/3.33  % (1682)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 18.36/3.33  % (1682)Termination reason: Refutation
% 18.36/3.33  
% 18.36/3.33  % (1682)Memory used [KB]: 48933
% 18.36/3.33  % (1682)Time elapsed: 2.563 s
% 18.36/3.33  % (1682)Instructions burned: 4022 (million)
% 18.36/3.33  % (1675)Success in time 2.967 s
%------------------------------------------------------------------------------