TSTP Solution File: SWB007+2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWB007+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.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 09:46:33 EDT 2024

% Result   : Theorem 0.15s 0.32s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   33 (   5 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   26 (  10   ~;   7   |;   8   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,plain,
    $false,
    inference(unit_resulting_resolution,[],[f21,f20,f19,f7]) ).

fof(f7,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    | ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    | ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
      & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
      & iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_007_Equal_Classes) ).

fof(f19,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),
    inference(superposition,[],[f11,f15]) ).

fof(f15,plain,
    uri_ex_c2 = uri_ex_c1,
    inference(unit_resulting_resolution,[],[f8,f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ iext(uri_owl_sameAs,X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f8,plain,
    iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ( iext(uri_rdfs_range,uri_ex_p,uri_ex_c1)
    & iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
    & iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
    & iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_007_Equal_Classes) ).

fof(f11,plain,
    iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
    inference(cnf_transformation,[],[f4]) ).

fof(f20,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),
    inference(superposition,[],[f10,f15]) ).

fof(f10,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
    inference(cnf_transformation,[],[f4]) ).

fof(f21,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c2),
    inference(superposition,[],[f9,f15]) ).

fof(f9,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
    inference(cnf_transformation,[],[f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : SWB007+2 : TPTP v8.1.2. Released v5.2.0.
% 0.02/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.30  % Computer : n003.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Fri May  3 18:38:37 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.31  % (26014)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.32  % (26019)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)
% 0.15/0.32  % (26021)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)
% 0.15/0.32  % (26017)WARNING: value z3 for option sas not known
% 0.15/0.32  % (26020)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)
% 0.15/0.32  % (26018)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.32  % (26021)First to succeed.
% 0.15/0.32  % (26016)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.32  % (26015)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.32  % (26017)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)
% 0.15/0.32  % (26019)Also succeeded, but the first one will report.
% 0.15/0.32  % (26021)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26014"
% 0.15/0.32  Detected minimum model sizes of [1]
% 0.15/0.32  Detected maximum model sizes of [9]
% 0.15/0.32  % (26020)Also succeeded, but the first one will report.
% 0.15/0.32  TRYING [1]
% 0.15/0.32  TRYING [2]
% 0.15/0.32  Detected minimum model sizes of [1]
% 0.15/0.32  Detected maximum model sizes of [18]
% 0.15/0.32  % (26021)Refutation found. Thanks to Tanya!
% 0.15/0.32  % SZS status Theorem for theBenchmark
% 0.15/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.32  % (26021)------------------------------
% 0.15/0.32  % (26021)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.32  % (26021)Termination reason: Refutation
% 0.15/0.32  
% 0.15/0.32  % (26021)Memory used [KB]: 738
% 0.15/0.32  % (26021)Time elapsed: 0.003 s
% 0.15/0.32  % (26021)Instructions burned: 3 (million)
% 0.15/0.32  % (26014)Success in time 0.015 s
%------------------------------------------------------------------------------