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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SWB096+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 08:51:05 AM UTC 2026

% Result   : Theorem 138.50s 24.84s
% Output   : CNFRefutation 138.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (   7 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   76 (  37   ~;  28   |;   8   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-3 aty)
%            Number of variables   :   32 (   0 sgn   6   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(premise_rdfbased_sem_restrict_minqcr_inst_obj_one,axiom,
    ( iext('uri$urdf$utype','uri$uex$uw','uri$uex$uz')
    & iext('uri$uowl$uonClass','uri$uex$uz','uri$uex$uc')
    & iext('uri$uowl$uonProperty','uri$uex$uz','uri$uex$up')
    & iext('uri$uowl$uminQualifiedCardinality','uri$uex$uz','literal$utyped'('dat$ustr$u1','uri$uxsd$unonNegativeInteger')) ) ).

fof(rdfs_cext_def,axiom,
    ! [X0,X1] :
      ( iext('uri$urdf$utype',X0,X1)
    <=> icext(X1,X0) ) ).

fof(owl_restrict_minqcr_object_001,axiom,
    ! [X0,X1,X2] :
      ( ( iext('uri$uowl$uonClass',X0,X2)
        & iext('uri$uowl$uonProperty',X0,X1)
        & iext('uri$uowl$uminQualifiedCardinality',X0,'literal$utyped'('dat$ustr$u1','uri$uxsd$unonNegativeInteger')) )
     => ! [X3] :
          ( icext(X0,X3)
        <=> ? [X4] :
              ( icext(X2,X4)
              & iext(X1,X3,X4) ) ) ) ).

fof(conclusion_rdfbased_sem_restrict_minqcr_inst_obj_one,conjecture,
    ? [X0] :
      ( iext('uri$uex$up','uri$uex$uw',X0)
      & iext('uri$urdf$utype',X0,'uri$uex$uc') ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ? [X0] :
        ( iext('uri$uex$up','uri$uex$uw',X0)
        & iext('uri$urdf$utype',X0,'uri$uex$uc') ),
    inference(negate_conjecture,[status(cth)],[conclusion_rdfbased_sem_restrict_minqcr_inst_obj_one]) ).

cnf(c0,plain,
    iext('uri$uowl$uminQualifiedCardinality','uri$uex$uz','literal$utyped'('dat$ustr$u1','uri$uxsd$unonNegativeInteger')),
    inference(clausification,[status(esa)],[premise_rdfbased_sem_restrict_minqcr_inst_obj_one]) ).

cnf(c1,plain,
    iext('uri$uowl$uonProperty','uri$uex$uz','uri$uex$up'),
    inference(clausification,[status(esa)],[premise_rdfbased_sem_restrict_minqcr_inst_obj_one]) ).

cnf(c2,plain,
    iext('uri$uowl$uonClass','uri$uex$uz','uri$uex$uc'),
    inference(clausification,[status(esa)],[premise_rdfbased_sem_restrict_minqcr_inst_obj_one]) ).

cnf(c3,plain,
    iext('uri$urdf$utype','uri$uex$uw','uri$uex$uz'),
    inference(clausification,[status(esa)],[premise_rdfbased_sem_restrict_minqcr_inst_obj_one]) ).

cnf(c14,plain,
    ( icext(X1,X0)
    | ~ iext('uri$urdf$utype',X0,X1) ),
    inference(clausification,[status(esa)],[rdfs_cext_def]) ).

cnf(c15,plain,
    ( ~ icext(X1,X0)
    | iext('uri$urdf$utype',X0,X1) ),
    inference(clausification,[status(esa)],[rdfs_cext_def]) ).

cnf(c447,plain,
    ( ~ iext('uri$uowl$uminQualifiedCardinality',X0,'literal$utyped'('dat$ustr$u1','uri$uxsd$unonNegativeInteger'))
    | ~ iext('uri$uowl$uonClass',X0,X3)
    | ~ icext(X0,X2)
    | iext(X1,X2,sK411(X1,X3,X2))
    | ~ iext('uri$uowl$uonProperty',X0,X1) ),
    inference(clausification,[status(esa)],[owl_restrict_minqcr_object_001]) ).

cnf(c448,plain,
    ( ~ iext('uri$uowl$uonClass',X0,X3)
    | icext(X3,sK411(X1,X3,X2))
    | ~ iext('uri$uowl$uminQualifiedCardinality',X0,'literal$utyped'('dat$ustr$u1','uri$uxsd$unonNegativeInteger'))
    | ~ icext(X0,X2)
    | ~ iext('uri$uowl$uonProperty',X0,X1) ),
    inference(clausification,[status(esa)],[owl_restrict_minqcr_object_001]) ).

cnf(c493,plain,
    ( ~ iext('uri$uex$up','uri$uex$uw',X0)
    | ~ iext('uri$urdf$utype',X0,'uri$uex$uc') ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ icext('uri$uex$uc',X0)
    | ~ iext('uri$uex$up','uri$uex$uw',X0) ),
    inference(resolution,[status(thm)],[c493,c15]) ).

cnf(d1,plain,
    ( ~ icext('uri$uex$uz',X1)
    | ~ iext('uri$uowl$uonClass','uri$uex$uz',X2)
    | ~ iext('uri$uowl$uonProperty','uri$uex$uz',X0)
    | iext(X0,X1,sK411(X0,X2,X1)) ),
    inference(resolution,[status(thm)],[c447,c0]) ).

cnf(d2,plain,
    ( ~ icext('uri$uex$uc',sK411('uri$uex$up',X0,'uri$uex$uw'))
    | ~ icext('uri$uex$uz','uri$uex$uw')
    | ~ iext('uri$uowl$uonClass','uri$uex$uz',X0)
    | ~ iext('uri$uowl$uonProperty','uri$uex$uz','uri$uex$up') ),
    inference(resolution,[status(thm)],[d1,d0]) ).

cnf(d3,plain,
    ( ~ icext('uri$uex$uc',sK411('uri$uex$up',X0,'uri$uex$uw'))
    | ~ icext('uri$uex$uz','uri$uex$uw')
    | ~ iext('uri$uowl$uonClass','uri$uex$uz',X0) ),
    inference(resolution,[status(thm)],[c1,d2]) ).

cnf(d4,plain,
    icext('uri$uex$uz','uri$uex$uw'),
    inference(resolution,[status(thm)],[c14,c3]) ).

cnf(d5,plain,
    ( ~ icext('uri$uex$uc',sK411('uri$uex$up',X0,'uri$uex$uw'))
    | ~ iext('uri$uowl$uonClass','uri$uex$uz',X0) ),
    inference(resolution,[status(thm)],[d4,d3]) ).

cnf(d6,plain,
    ( ~ icext('uri$uex$uz',X2)
    | icext(X1,sK411(X0,X1,X2))
    | ~ iext('uri$uowl$uonClass','uri$uex$uz',X1)
    | ~ iext('uri$uowl$uonProperty','uri$uex$uz',X0) ),
    inference(resolution,[status(thm)],[c448,c0]) ).

cnf(d7,plain,
    ( ~ iext('uri$uowl$uonClass','uri$uex$uz','uri$uex$uc')
    | ~ icext('uri$uex$uz','uri$uex$uw')
    | ~ iext('uri$uowl$uonClass','uri$uex$uz','uri$uex$uc')
    | ~ iext('uri$uowl$uonProperty','uri$uex$uz','uri$uex$up') ),
    inference(resolution,[status(thm)],[d6,d5]) ).

cnf(d8,plain,
    ( ~ icext('uri$uex$uz','uri$uex$uw')
    | ~ iext('uri$uowl$uonClass','uri$uex$uz','uri$uex$uc') ),
    inference(resolution,[status(thm)],[c1,d7]) ).

cnf(d9,plain,
    ~ icext('uri$uex$uz','uri$uex$uw'),
    inference(resolution,[status(thm)],[c2,d8]) ).

cnf(d10,plain,
    $false,
    inference(resolution,[status(thm)],[d4,d9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB096+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.38  % Computer : n020.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Sat Sep 26 12:01:34 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 138.50/24.84  % SZS status Theorem for theBenchmark.p
% 138.50/24.84  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------