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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : CSR118+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 : n013.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 05:03:33 EDT 2024

% Result   : Theorem 7.35s 1.64s
% Output   : Refutation 7.35s
% 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
% 0.10/0.12  % Problem    : CSR118+4 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.10/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 20:23:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (23621)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.58  % (23629)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)
% 0.20/0.58  % (23624)WARNING: value z3 for option sas not known
% 0.20/0.58  % (23622)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.58  % (23625)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.58  % (23626)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)
% 0.20/0.58  % (23628)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)
% 0.20/0.58  % (23624)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)
% 0.56/0.60  % (23623)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 3.44/1.06  Detected minimum model sizes of [51]
% 3.44/1.06  Detected maximum model sizes of [max]
% 3.44/1.06  Cannot represent all propositional literals internally
% 3.44/1.06  % (23625)Refutation not found, incomplete strategy% (23625)------------------------------
% 3.44/1.06  % (23625)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.44/1.06  % (23625)Termination reason: Refutation not found, incomplete strategy
% 3.44/1.06  
% 3.44/1.06  % (23625)Memory used [KB]: 34780
% 3.44/1.06  % (23625)Time elapsed: 0.483 s
% 3.44/1.06  % (23625)Instructions burned: 1649 (million)
% 3.44/1.07  % (23625)------------------------------
% 3.44/1.07  % (23625)------------------------------
% 3.84/1.08  % (23630)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 5.83/1.40  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]
% 5.83/1.40  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]
% 5.83/1.40  Cannot represent all propositional literals internally
% 5.83/1.40  % (23630)Refutation not found, incomplete strategy% (23630)------------------------------
% 5.83/1.40  % (23630)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.83/1.40  % (23630)Termination reason: Refutation not found, incomplete strategy
% 5.83/1.40  
% 5.83/1.40  % (23630)Memory used [KB]: 31210
% 5.83/1.40  % (23630)Time elapsed: 0.322 s
% 5.83/1.40  % (23630)Instructions burned: 1294 (million)
% 5.83/1.40  % (23630)------------------------------
% 5.83/1.40  % (23630)------------------------------
% 5.83/1.42  % (23631)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)
% 7.35/1.63  % (23629)First to succeed.
% 7.35/1.63  % (23629)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23621"
% 7.35/1.64  % (23629)Refutation found. Thanks to Tanya!
% 7.35/1.64  % SZS status Theorem for theBenchmark
% 7.35/1.64  % SZS output start Proof for theBenchmark
% See solution above
% 7.35/1.64  % (23629)------------------------------
% 7.35/1.64  % (23629)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 7.35/1.64  % (23629)Termination reason: Refutation
% 7.35/1.64  
% 7.35/1.64  % (23629)Memory used [KB]: 48933
% 7.35/1.64  % (23629)Time elapsed: 1.056 s
% 7.35/1.64  % (23629)Instructions burned: 4021 (million)
% 7.35/1.64  % (23621)Success in time 1.287 s
%------------------------------------------------------------------------------