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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SWB068+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n016.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 08:51:03 AM UTC 2026

% Result   : Theorem 37.45s 6.69s
% Output   : CNFRefutation 37.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   48 (  13 unt;   0 def)
%            Number of atoms       :  318 ( 118 equ)
%            Maximal formula atoms :   18 (   6 avg)
%            Number of connectives :  418 ( 148   ~; 236   |;  31   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;  13 con; 0-1 aty)
%            Number of variables   :  124 (   0 sgn  10   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(premise_rdfbased_sem_ndis_alldifferent_bw,axiom,
    ? [X0,X1,X2] :
      ( iext('uri$urdf$urest',X1,X2)
      & iext('uri$urdf$ufirst',X1,'uri$uex$uw1')
      & iext('uri$urdf$urest',X2,X0)
      & iext('uri$urdf$ufirst',X2,'uri$uex$uw2')
      & iext('uri$uowl$udifferentFrom','uri$uex$uw2','uri$uex$uw3')
      & iext('uri$urdf$urest',X0,'uri$urdf$unil')
      & iext('uri$urdf$ufirst',X0,'uri$uex$uw3')
      & iext('uri$uowl$udifferentFrom','uri$uex$uw1','uri$uex$uw3')
      & iext('uri$uowl$udifferentFrom','uri$uex$uw1','uri$uex$uw2') ) ).

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

fof(owl_eqdis_differentfrom,axiom,
    ! [X0,X1] :
      ( iext('uri$uowl$udifferentFrom',X0,X1)
    <=> X0 != X1 ) ).

fof(owl_ndis_alldifferent_members_fi_003,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( X3 != X5
        & X1 != X5
        & X1 != X3
        & iext('uri$urdf$urest',X4,'uri$urdf$unil')
        & iext('uri$urdf$ufirst',X4,X5)
        & iext('uri$urdf$urest',X2,X4)
        & iext('uri$urdf$ufirst',X2,X3)
        & iext('uri$urdf$urest',X0,X2)
        & iext('uri$urdf$ufirst',X0,X1) )
     => ? [X6] :
          ( iext('uri$uowl$umembers',X6,X0)
          & icext('uri$uowl$uAllDifferent',X6) ) ) ).

fof(conclusion_rdfbased_sem_ndis_alldifferent_bw,conjecture,
    ? [X0,X1,X2,X3] :
      ( iext('uri$urdf$urest',X0,'uri$urdf$unil')
      & iext('uri$urdf$ufirst',X0,'uri$uex$uw3')
      & iext('uri$uowl$umembers',X3,X1)
      & iext('uri$urdf$utype',X3,'uri$uowl$uAllDifferent')
      & iext('uri$urdf$urest',X2,X0)
      & iext('uri$urdf$ufirst',X2,'uri$uex$uw2')
      & iext('uri$urdf$urest',X1,X2)
      & iext('uri$urdf$ufirst',X1,'uri$uex$uw1') ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ? [X0,X1,X2,X3] :
        ( iext('uri$urdf$urest',X0,'uri$urdf$unil')
        & iext('uri$urdf$ufirst',X0,'uri$uex$uw3')
        & iext('uri$uowl$umembers',X3,X1)
        & iext('uri$urdf$utype',X3,'uri$uowl$uAllDifferent')
        & iext('uri$urdf$urest',X2,X0)
        & iext('uri$urdf$ufirst',X2,'uri$uex$uw2')
        & iext('uri$urdf$urest',X1,X2)
        & iext('uri$urdf$ufirst',X1,'uri$uex$uw1') ),
    inference(negate_conjecture,[status(cth)],[conclusion_rdfbased_sem_ndis_alldifferent_bw]) ).

cnf(c0,plain,
    iext('uri$uowl$udifferentFrom','uri$uex$uw1','uri$uex$uw2'),
    inference(clausification,[status(esa)],[premise_rdfbased_sem_ndis_alldifferent_bw]) ).

cnf(c1,plain,
    iext('uri$uowl$udifferentFrom','uri$uex$uw1','uri$uex$uw3'),
    inference(clausification,[status(esa)],[premise_rdfbased_sem_ndis_alldifferent_bw]) ).

cnf(c2,plain,
    iext('uri$urdf$ufirst',sK0,'uri$uex$uw3'),
    inference(clausification,[status(esa)],[premise_rdfbased_sem_ndis_alldifferent_bw]) ).

cnf(c3,plain,
    iext('uri$urdf$urest',sK0,'uri$urdf$unil'),
    inference(clausification,[status(esa)],[premise_rdfbased_sem_ndis_alldifferent_bw]) ).

cnf(c4,plain,
    iext('uri$uowl$udifferentFrom','uri$uex$uw2','uri$uex$uw3'),
    inference(clausification,[status(esa)],[premise_rdfbased_sem_ndis_alldifferent_bw]) ).

cnf(c5,plain,
    iext('uri$urdf$ufirst',sK2,'uri$uex$uw2'),
    inference(clausification,[status(esa)],[premise_rdfbased_sem_ndis_alldifferent_bw]) ).

cnf(c6,plain,
    iext('uri$urdf$urest',sK2,sK0),
    inference(clausification,[status(esa)],[premise_rdfbased_sem_ndis_alldifferent_bw]) ).

cnf(c7,plain,
    iext('uri$urdf$ufirst',sK1,'uri$uex$uw1'),
    inference(clausification,[status(esa)],[premise_rdfbased_sem_ndis_alldifferent_bw]) ).

cnf(c8,plain,
    iext('uri$urdf$urest',sK1,sK2),
    inference(clausification,[status(esa)],[premise_rdfbased_sem_ndis_alldifferent_bw]) ).

cnf(c19,plain,
    ( ~ icext(X1,X0)
    | iext('uri$urdf$utype',X0,X1) ),
    inference(clausification,[status(esa)],[rdfs_cext_def]) ).

cnf(c58,plain,
    ( X0 != X1
    | ~ iext('uri$uowl$udifferentFrom',X0,X1) ),
    inference(clausification,[status(esa)],[owl_eqdis_differentfrom]) ).

cnf(c66,plain,
    ( X0 = X5
    | ~ iext('uri$urdf$urest',X3,X2)
    | X1 = X5
    | ~ iext('uri$urdf$ufirst',X3,X0)
    | ~ iext('uri$urdf$urest',X4,'uri$urdf$unil')
    | ~ iext('uri$urdf$urest',X2,X4)
    | ~ iext('uri$urdf$ufirst',X4,X5)
    | icext('uri$uowl$uAllDifferent',sK57(X3))
    | ~ iext('uri$urdf$ufirst',X2,X1)
    | X0 = X1 ),
    inference(clausification,[status(esa)],[owl_ndis_alldifferent_members_fi_003]) ).

cnf(c67,plain,
    ( X0 = X4
    | ~ iext('uri$urdf$urest',X5,X2)
    | X1 = X4
    | iext('uri$uowl$umembers',sK57(X5),X5)
    | ~ iext('uri$urdf$ufirst',X5,X0)
    | ~ iext('uri$urdf$urest',X3,'uri$urdf$unil')
    | ~ iext('uri$urdf$urest',X2,X3)
    | ~ iext('uri$urdf$ufirst',X3,X4)
    | ~ iext('uri$urdf$ufirst',X2,X1)
    | X0 = X1 ),
    inference(clausification,[status(esa)],[owl_ndis_alldifferent_members_fi_003]) ).

cnf(c72,plain,
    ( ~ iext('uri$urdf$urest',X3,X0)
    | ~ iext('uri$uowl$umembers',X1,X2)
    | ~ iext('uri$urdf$urest',X2,X3)
    | ~ iext('uri$urdf$ufirst',X3,'uri$uex$uw2')
    | ~ iext('uri$urdf$ufirst',X2,'uri$uex$uw1')
    | ~ iext('uri$urdf$ufirst',X0,'uri$uex$uw3')
    | ~ iext('uri$urdf$utype',X1,'uri$uowl$uAllDifferent')
    | ~ iext('uri$urdf$urest',X0,'uri$urdf$unil') ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ iext('uri$urdf$utype',sK57(X3),'uri$uowl$uAllDifferent')
    | ~ iext('uri$urdf$urest',X3,X6)
    | ~ iext('uri$urdf$urest',X7,'uri$urdf$unil')
    | ~ iext('uri$urdf$urest',X6,X7)
    | ~ iext('uri$urdf$ufirst',X3,'uri$uex$uw1')
    | ~ iext('uri$urdf$ufirst',X7,'uri$uex$uw3')
    | ~ iext('uri$urdf$ufirst',X6,'uri$uex$uw2')
    | ~ iext('uri$urdf$urest',X5,X4)
    | ~ iext('uri$urdf$urest',X4,'uri$urdf$unil')
    | ~ iext('uri$urdf$urest',X3,X5)
    | ~ iext('uri$urdf$ufirst',X5,X1)
    | ~ iext('uri$urdf$ufirst',X4,X2)
    | ~ iext('uri$urdf$ufirst',X3,X0)
    | X1 = X2
    | X0 = X2
    | X0 = X1 ),
    inference(resolution,[status(thm)],[c67,c72]) ).

cnf(d1,plain,
    ( ~ icext('uri$uowl$uAllDifferent',sK57(X7))
    | ~ iext('uri$urdf$urest',X7,X5)
    | ~ iext('uri$urdf$urest',X7,X4)
    | ~ iext('uri$urdf$urest',X6,'uri$urdf$unil')
    | ~ iext('uri$urdf$urest',X5,X6)
    | ~ iext('uri$urdf$urest',X4,X3)
    | ~ iext('uri$urdf$urest',X3,'uri$urdf$unil')
    | ~ iext('uri$urdf$ufirst',X7,'uri$uex$uw1')
    | ~ iext('uri$urdf$ufirst',X7,X2)
    | ~ iext('uri$urdf$ufirst',X6,X1)
    | ~ iext('uri$urdf$ufirst',X5,X0)
    | ~ iext('uri$urdf$ufirst',X4,'uri$uex$uw2')
    | ~ iext('uri$urdf$ufirst',X3,'uri$uex$uw3')
    | X2 = X0
    | X2 = X1
    | X0 = X1 ),
    inference(resolution,[status(thm)],[d0,c19]) ).

cnf(d2,plain,
    ( icext('uri$uowl$uAllDifferent',sK57(X3))
    | ~ iext('uri$urdf$urest',sK0,'uri$urdf$unil')
    | ~ iext('uri$urdf$urest',X3,sK2)
    | ~ iext('uri$urdf$ufirst',sK2,X1)
    | ~ iext('uri$urdf$ufirst',sK0,X2)
    | ~ iext('uri$urdf$ufirst',X3,X0)
    | X1 = X2
    | X0 = X2
    | X0 = X1 ),
    inference(resolution,[status(thm)],[c66,c6]) ).

cnf(d3,plain,
    ( icext('uri$uowl$uAllDifferent',sK57(X3))
    | ~ iext('uri$urdf$urest',X3,sK2)
    | ~ iext('uri$urdf$ufirst',sK2,X0)
    | ~ iext('uri$urdf$ufirst',sK0,X1)
    | ~ iext('uri$urdf$ufirst',X3,X2)
    | X2 = X0
    | X2 = X1
    | X0 = X1 ),
    inference(resolution,[status(thm)],[c3,d2]) ).

cnf(d4,plain,
    ( icext('uri$uowl$uAllDifferent',sK57(sK1))
    | ~ iext('uri$urdf$ufirst',sK2,X2)
    | ~ iext('uri$urdf$ufirst',sK0,X1)
    | ~ iext('uri$urdf$ufirst',sK1,X0)
    | X2 = X1
    | X0 = X2
    | X0 = X1 ),
    inference(resolution,[status(thm)],[d3,c8]) ).

cnf(d5,plain,
    ( icext('uri$uowl$uAllDifferent',sK57(sK1))
    | ~ iext('uri$urdf$ufirst',sK2,X0)
    | ~ iext('uri$urdf$ufirst',sK0,X1)
    | 'uri$uex$uw1' = X1
    | 'uri$uex$uw1' = X0
    | X0 = X1 ),
    inference(resolution,[status(thm)],[d4,c7]) ).

cnf(d6,plain,
    ( icext('uri$uowl$uAllDifferent',sK57(sK1))
    | ~ iext('uri$urdf$ufirst',sK0,X0)
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | 'uri$uex$uw1' = X0
    | 'uri$uex$uw2' = X0 ),
    inference(resolution,[status(thm)],[d5,c5]) ).

cnf(d7,plain,
    ( icext('uri$uowl$uAllDifferent',sK57(sK1))
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | 'uri$uex$uw1' = 'uri$uex$uw3' ),
    inference(resolution,[status(thm)],[d6,c2]) ).

cnf(d8,plain,
    ( ~ iext('uri$urdf$urest',X6,'uri$urdf$unil')
    | ~ iext('uri$urdf$urest',X5,X6)
    | ~ iext('uri$urdf$urest',X4,X3)
    | ~ iext('uri$urdf$urest',X3,'uri$urdf$unil')
    | ~ iext('uri$urdf$urest',sK1,X5)
    | ~ iext('uri$urdf$urest',sK1,X4)
    | ~ iext('uri$urdf$ufirst',X6,'uri$uex$uw3')
    | ~ iext('uri$urdf$ufirst',X5,'uri$uex$uw2')
    | ~ iext('uri$urdf$ufirst',X4,X2)
    | ~ iext('uri$urdf$ufirst',X3,X1)
    | ~ iext('uri$urdf$ufirst',sK1,'uri$uex$uw1')
    | ~ iext('uri$urdf$ufirst',sK1,X0)
    | X2 = X1
    | X0 = X2
    | X0 = X1
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2' ),
    inference(resolution,[status(thm)],[d7,d1]) ).

cnf(d9,plain,
    ( ~ iext('uri$urdf$urest',sK1,X5)
    | ~ iext('uri$urdf$urest',sK1,X4)
    | ~ iext('uri$urdf$urest',X6,'uri$urdf$unil')
    | ~ iext('uri$urdf$urest',X5,X6)
    | ~ iext('uri$urdf$urest',X4,X3)
    | ~ iext('uri$urdf$urest',X3,'uri$urdf$unil')
    | ~ iext('uri$urdf$ufirst',sK1,X2)
    | ~ iext('uri$urdf$ufirst',X6,X1)
    | ~ iext('uri$urdf$ufirst',X5,X0)
    | ~ iext('uri$urdf$ufirst',X4,'uri$uex$uw2')
    | ~ iext('uri$urdf$ufirst',X3,'uri$uex$uw3')
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | X2 = X1
    | X2 = X0
    | X0 = X1 ),
    inference(resolution,[status(thm)],[c7,d8]) ).

cnf(d10,plain,
    ( ~ iext('uri$urdf$urest',sK1,X4)
    | ~ iext('uri$urdf$urest',X5,'uri$urdf$unil')
    | ~ iext('uri$urdf$urest',sK2,X5)
    | ~ iext('uri$urdf$urest',X4,X3)
    | ~ iext('uri$urdf$urest',X3,'uri$urdf$unil')
    | ~ iext('uri$urdf$ufirst',sK1,X0)
    | ~ iext('uri$urdf$ufirst',X5,'uri$uex$uw3')
    | ~ iext('uri$urdf$ufirst',sK2,'uri$uex$uw2')
    | ~ iext('uri$urdf$ufirst',X4,X2)
    | ~ iext('uri$urdf$ufirst',X3,X1)
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | X2 = X1
    | X0 = X2
    | X0 = X1 ),
    inference(resolution,[status(thm)],[d9,c8]) ).

cnf(d11,plain,
    ( ~ iext('uri$urdf$urest',sK1,X4)
    | ~ iext('uri$urdf$urest',sK2,X3)
    | ~ iext('uri$urdf$urest',X5,'uri$urdf$unil')
    | ~ iext('uri$urdf$urest',X4,X5)
    | ~ iext('uri$urdf$urest',X3,'uri$urdf$unil')
    | ~ iext('uri$urdf$ufirst',sK1,X2)
    | ~ iext('uri$urdf$ufirst',X5,X1)
    | ~ iext('uri$urdf$ufirst',X4,X0)
    | ~ iext('uri$urdf$ufirst',X3,'uri$uex$uw3')
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | X2 = X1
    | X2 = X0
    | X0 = X1 ),
    inference(resolution,[status(thm)],[c5,d10]) ).

cnf(d12,plain,
    ( ~ iext('uri$urdf$urest',sK2,X4)
    | ~ iext('uri$urdf$urest',X4,'uri$urdf$unil')
    | ~ iext('uri$urdf$urest',sK2,X3)
    | ~ iext('uri$urdf$urest',X3,'uri$urdf$unil')
    | ~ iext('uri$urdf$ufirst',sK1,X0)
    | ~ iext('uri$urdf$ufirst',X4,'uri$uex$uw3')
    | ~ iext('uri$urdf$ufirst',sK2,X2)
    | ~ iext('uri$urdf$ufirst',X3,X1)
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | X2 = X1
    | X0 = X2
    | X0 = X1 ),
    inference(resolution,[status(thm)],[d11,c8]) ).

cnf(d13,plain,
    ( ~ iext('uri$urdf$urest',sK2,X3)
    | ~ iext('uri$urdf$urest',sK0,'uri$urdf$unil')
    | ~ iext('uri$urdf$urest',X3,'uri$urdf$unil')
    | ~ iext('uri$urdf$ufirst',sK1,X2)
    | ~ iext('uri$urdf$ufirst',sK2,X0)
    | ~ iext('uri$urdf$ufirst',sK0,X1)
    | ~ iext('uri$urdf$ufirst',X3,'uri$uex$uw3')
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | X2 = X1
    | X2 = X0
    | X0 = X1 ),
    inference(resolution,[status(thm)],[d12,c6]) ).

cnf(d14,plain,
    ( ~ iext('uri$urdf$urest',sK2,X3)
    | ~ iext('uri$urdf$urest',X3,'uri$urdf$unil')
    | ~ iext('uri$urdf$ufirst',sK1,X0)
    | ~ iext('uri$urdf$ufirst',sK2,X2)
    | ~ iext('uri$urdf$ufirst',sK0,X1)
    | ~ iext('uri$urdf$ufirst',X3,'uri$uex$uw3')
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | X2 = X1
    | X0 = X2
    | X0 = X1 ),
    inference(resolution,[status(thm)],[c3,d13]) ).

cnf(d15,plain,
    ( ~ iext('uri$urdf$urest',sK0,'uri$urdf$unil')
    | ~ iext('uri$urdf$ufirst',sK1,X2)
    | ~ iext('uri$urdf$ufirst',sK2,X0)
    | ~ iext('uri$urdf$ufirst',sK0,X1)
    | ~ iext('uri$urdf$ufirst',sK0,'uri$uex$uw3')
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | X2 = X1
    | X2 = X0
    | X0 = X1 ),
    inference(resolution,[status(thm)],[d14,c6]) ).

cnf(d16,plain,
    ( ~ iext('uri$urdf$urest',sK0,'uri$urdf$unil')
    | ~ iext('uri$urdf$ufirst',sK1,X0)
    | ~ iext('uri$urdf$ufirst',sK2,X2)
    | ~ iext('uri$urdf$ufirst',sK0,X1)
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | X2 = X1
    | X0 = X2
    | X0 = X1 ),
    inference(resolution,[status(thm)],[c2,d15]) ).

cnf(d17,plain,
    ( ~ iext('uri$urdf$ufirst',sK1,X2)
    | ~ iext('uri$urdf$ufirst',sK2,X0)
    | ~ iext('uri$urdf$ufirst',sK0,X1)
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | X2 = X1
    | X2 = X0
    | X0 = X1 ),
    inference(resolution,[status(thm)],[c3,d16]) ).

cnf(d18,plain,
    ( ~ iext('uri$urdf$ufirst',sK2,X1)
    | ~ iext('uri$urdf$ufirst',sK0,X0)
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | X1 = X0
    | 'uri$uex$uw1' = X1
    | 'uri$uex$uw1' = X0 ),
    inference(resolution,[status(thm)],[d17,c7]) ).

cnf(d19,plain,
    ( ~ iext('uri$urdf$ufirst',sK0,X0)
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | 'uri$uex$uw1' = X0
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | 'uri$uex$uw2' = X0 ),
    inference(resolution,[status(thm)],[d18,c5]) ).

cnf(d20,plain,
    ( 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw2' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | 'uri$uex$uw1' = 'uri$uex$uw3' ),
    inference(resolution,[status(thm)],[d19,c2]) ).

cnf(d21,plain,
    ( 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2'
    | iext('uri$uowl$udifferentFrom','uri$uex$uw2','uri$uex$uw2') ),
    inference(superposition,[status(thm)],[d20,c4]) ).

cnf(d22,plain,
    ~ iext('uri$uowl$udifferentFrom',X0,X0),
    inference(equality_resolution,[status(thm)],[c58]) ).

cnf(d23,plain,
    ( 'uri$uex$uw1' = 'uri$uex$uw3'
    | 'uri$uex$uw1' = 'uri$uex$uw2' ),
    inference(resolution,[status(thm)],[d22,d21]) ).

cnf(d24,plain,
    ( 'uri$uex$uw1' = 'uri$uex$uw2'
    | iext('uri$uowl$udifferentFrom','uri$uex$uw1','uri$uex$uw1') ),
    inference(superposition,[status(thm)],[d23,c1]) ).

cnf(d25,plain,
    'uri$uex$uw1' = 'uri$uex$uw2',
    inference(resolution,[status(thm)],[d22,d24]) ).

cnf(d26,plain,
    iext('uri$uowl$udifferentFrom','uri$uex$uw1','uri$uex$uw1'),
    inference(demodulation,[status(thm)],[c0,d25]) ).

cnf(d27,plain,
    $false,
    inference(resolution,[status(thm)],[d22,d26]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB068+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n016.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Sat Sep 26 12:03:00 UTC 2026
% 0.12/0.36  % CPUTime  : 
% 0.12/0.36  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 37.45/6.69  % SZS status Theorem for theBenchmark.p
% 37.45/6.69  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------