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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : GRP641+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n011.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 07:24:17 AM UTC 2026

% Result   : Theorem 8.83s 4.23s
% Output   : CNFRefutation 8.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   65 (  17 unt;   0 def)
%            Number of atoms       :  243 (  25 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  309 ( 131   ~; 133   |;  28   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   40 (   0 sgn  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d1_latsubgr,axiom,
    ! [X0] :
      ( ( 'l1$ugroup$u1'(X0)
        & 'v4$ugroup$u1'(X0)
        & 'v3$ugroup$u1'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => ! [X1] :
          ( ( 'm2$urelset$u1'(X1,'k1$ugroup$u3'(X0),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
            & 'v1$ufunct$u2'(X1,'k1$ugroup$u3'(X0),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
            & 'v1$ufunct$u1'(X1) )
         => ( X1 = 'k1$ulatsubgr'(X0)
          <=> ! [X2] :
                ( ( 'm1$ugroup$u2'(X2,X0)
                  & 'v1$ugroup$u1'(X2) )
               => 'k1$ufunct$u1'(X1,X2) = 'u1$ustruct$u0'(X2) ) ) ) ) ).

fof(dt_k1_latsubgr,axiom,
    ! [X0] :
      ( ( 'l1$ugroup$u1'(X0)
        & 'v4$ugroup$u1'(X0)
        & 'v3$ugroup$u1'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => ( 'm2$urelset$u1'('k1$ulatsubgr'(X0),'k1$ugroup$u3'(X0),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
        & 'v1$ufunct$u2'('k1$ulatsubgr'(X0),'k1$ugroup$u3'(X0),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
        & 'v1$ufunct$u1'('k1$ulatsubgr'(X0)) ) ) ).

fof(dt_k2_group_1,axiom,
    ! [X0] :
      ( ( 'l1$ugroup$u1'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => 'm1$usubset$u1'('k2$ugroup$u1'(X0),'u1$ustruct$u0'(X0)) ) ).

fof(dt_l1_group_1,axiom,
    ! [X0] :
      ( 'l1$ugroup$u1'(X0)
     => 'l1$ustruct$u0'(X0) ) ).

fof(dt_m1_group_2,axiom,
    ! [X0] :
      ( ( 'l1$ugroup$u1'(X0)
        & 'v3$ugroup$u1'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => ! [X1] :
          ( 'm1$ugroup$u2'(X1,X0)
         => ( 'l1$ugroup$u1'(X1)
            & 'v3$ugroup$u1'(X1)
            & ~ 'v3$ustruct$u0'(X1) ) ) ) ).

fof(fc1_struct_0,axiom,
    ! [X0] :
      ( ( 'l1$ustruct$u0'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => ~ 'v1$uxboole$u0'('u1$ustruct$u0'(X0)) ) ).

fof(t2_subset,axiom,
    ! [X0,X1] :
      ( 'm1$usubset$u1'(X0,X1)
     => ( 'r2$uhidden'(X0,X1)
        | 'v1$uxboole$u0'(X1) ) ) ).

fof(t53_group_2,axiom,
    ! [X0] :
      ( ( 'l1$ugroup$u1'(X0)
        & 'v4$ugroup$u1'(X0)
        & 'v3$ugroup$u1'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => ! [X1] :
          ( 'm1$ugroup$u2'(X1,X0)
         => 'k2$ugroup$u1'(X1) = 'k2$ugroup$u1'(X0) ) ) ).

fof(t19_latsubgr,conjecture,
    ! [X0] :
      ( ( 'l1$ugroup$u1'(X0)
        & 'v4$ugroup$u1'(X0)
        & 'v3$ugroup$u1'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => ! [X1] :
          ( ( 'm1$ugroup$u2'(X1,X0)
            & 'v1$ugroup$u1'(X1) )
         => 'r2$uhidden'('k2$ugroup$u1'(X0),'k1$ufunct$u1'('k1$ulatsubgr'(X0),X1)) ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ! [X0] :
        ( ( 'l1$ugroup$u1'(X0)
          & 'v4$ugroup$u1'(X0)
          & 'v3$ugroup$u1'(X0)
          & ~ 'v3$ustruct$u0'(X0) )
       => ! [X1] :
            ( ( 'm1$ugroup$u2'(X1,X0)
              & 'v1$ugroup$u1'(X1) )
           => 'r2$uhidden'('k2$ugroup$u1'(X0),'k1$ufunct$u1'('k1$ulatsubgr'(X0),X1)) ) ),
    inference(negate_conjecture,[status(cth)],[t19_latsubgr]) ).

cnf(c12,plain,
    ( 'v3$ustruct$u0'(X1)
    | ~ 'v1$ugroup$u1'(X2)
    | ~ 'm2$urelset$u1'(X0,'k1$ugroup$u3'(X1),'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
    | ~ 'v3$ugroup$u1'(X1)
    | ~ 'm1$ugroup$u2'(X2,X1)
    | ~ 'v1$ufunct$u2'(X0,'k1$ugroup$u3'(X1),'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
    | ~ 'l1$ugroup$u1'(X1)
    | ~ 'v1$ufunct$u1'(X0)
    | 'k1$ufunct$u1'(X0,X2) = 'u1$ustruct$u0'(X2)
    | ~ 'v4$ugroup$u1'(X1)
    | X0 != 'k1$ulatsubgr'(X1) ),
    inference(clausification,[status(esa)],[d1_latsubgr]) ).

cnf(c18,plain,
    ( ~ 'l1$ugroup$u1'(X0)
    | ~ 'v4$ugroup$u1'(X0)
    | 'v3$ustruct$u0'(X0)
    | ~ 'v3$ugroup$u1'(X0)
    | 'v1$ufunct$u1'('k1$ulatsubgr'(X0)) ),
    inference(clausification,[status(esa)],[dt_k1_latsubgr]) ).

cnf(c19,plain,
    ( ~ 'l1$ugroup$u1'(X0)
    | ~ 'v4$ugroup$u1'(X0)
    | 'v1$ufunct$u2'('k1$ulatsubgr'(X0),'k1$ugroup$u3'(X0),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
    | 'v3$ustruct$u0'(X0)
    | ~ 'v3$ugroup$u1'(X0) ),
    inference(clausification,[status(esa)],[dt_k1_latsubgr]) ).

cnf(c20,plain,
    ( ~ 'l1$ugroup$u1'(X0)
    | ~ 'v4$ugroup$u1'(X0)
    | 'v3$ustruct$u0'(X0)
    | 'm2$urelset$u1'('k1$ulatsubgr'(X0),'k1$ugroup$u3'(X0),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
    | ~ 'v3$ugroup$u1'(X0) ),
    inference(clausification,[status(esa)],[dt_k1_latsubgr]) ).

cnf(c21,plain,
    ( 'm1$usubset$u1'('k2$ugroup$u1'(X0),'u1$ustruct$u0'(X0))
    | ~ 'l1$ugroup$u1'(X0)
    | 'v3$ustruct$u0'(X0) ),
    inference(clausification,[status(esa)],[dt_k2_group_1]) ).

cnf(c22,plain,
    ( 'l1$ustruct$u0'(X0)
    | ~ 'l1$ugroup$u1'(X0) ),
    inference(clausification,[status(esa)],[dt_l1_group_1]) ).

cnf(c23,plain,
    ( ~ 'l1$ugroup$u1'(X0)
    | ~ 'v3$ugroup$u1'(X0)
    | ~ 'v3$ustruct$u0'(X1)
    | ~ 'm1$ugroup$u2'(X1,X0)
    | 'v3$ustruct$u0'(X0) ),
    inference(clausification,[status(esa)],[dt_m1_group_2]) ).

cnf(c25,plain,
    ( 'v3$ustruct$u0'(X1)
    | 'l1$ugroup$u1'(X0)
    | ~ 'l1$ugroup$u1'(X1)
    | ~ 'v3$ugroup$u1'(X1)
    | ~ 'm1$ugroup$u2'(X0,X1) ),
    inference(clausification,[status(esa)],[dt_m1_group_2]) ).

cnf(c37,plain,
    ( ~ 'v1$uxboole$u0'('u1$ustruct$u0'(X0))
    | ~ 'l1$ustruct$u0'(X0)
    | 'v3$ustruct$u0'(X0) ),
    inference(clausification,[status(esa)],[fc1_struct_0]) ).

cnf(c64,plain,
    ( 'r2$uhidden'(X0,X1)
    | 'v1$uxboole$u0'(X1)
    | ~ 'm1$usubset$u1'(X0,X1) ),
    inference(clausification,[status(esa)],[t2_subset]) ).

cnf(c68,plain,
    ( ~ 'm1$ugroup$u2'(X1,X0)
    | ~ 'v4$ugroup$u1'(X0)
    | ~ 'l1$ugroup$u1'(X0)
    | ~ 'v3$ugroup$u1'(X0)
    | 'k2$ugroup$u1'(X1) = 'k2$ugroup$u1'(X0)
    | 'v3$ustruct$u0'(X0) ),
    inference(clausification,[status(esa)],[t53_group_2]) ).

cnf(c73,plain,
    ~ 'v3$ustruct$u0'(sK90),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c74,plain,
    'v3$ugroup$u1'(sK90),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c75,plain,
    'v4$ugroup$u1'(sK90),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c76,plain,
    'l1$ugroup$u1'(sK90),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c77,plain,
    'v1$ugroup$u1'(sK91),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c78,plain,
    'm1$ugroup$u2'(sK91,sK90),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c79,plain,
    ~ 'r2$uhidden'('k2$ugroup$u1'(sK90),'k1$ufunct$u1'('k1$ulatsubgr'(sK90),sK91)),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( 'v3$ustruct$u0'(sK90)
    | ~ 'v3$ugroup$u1'(sK90)
    | ~ 'v4$ugroup$u1'(sK90)
    | ~ 'l1$ugroup$u1'(sK90)
    | 'k2$ugroup$u1'(sK91) = 'k2$ugroup$u1'(sK90) ),
    inference(resolution,[status(thm)],[c68,c78]) ).

cnf(d1,plain,
    ( ~ 'v3$ugroup$u1'(sK90)
    | ~ 'v4$ugroup$u1'(sK90)
    | ~ 'l1$ugroup$u1'(sK90)
    | 'k2$ugroup$u1'(sK91) = 'k2$ugroup$u1'(sK90) ),
    inference(resolution,[status(thm)],[c73,d0]) ).

cnf(d2,plain,
    ( ~ 'v4$ugroup$u1'(sK90)
    | ~ 'l1$ugroup$u1'(sK90)
    | 'k2$ugroup$u1'(sK91) = 'k2$ugroup$u1'(sK90) ),
    inference(resolution,[status(thm)],[c74,d1]) ).

cnf(d3,plain,
    ( ~ 'l1$ugroup$u1'(sK90)
    | 'k2$ugroup$u1'(sK91) = 'k2$ugroup$u1'(sK90) ),
    inference(resolution,[status(thm)],[c75,d2]) ).

cnf(d4,plain,
    'k2$ugroup$u1'(sK91) = 'k2$ugroup$u1'(sK90),
    inference(resolution,[status(thm)],[c76,d3]) ).

cnf(d5,plain,
    ( 'v3$ustruct$u0'(sK91)
    | ~ 'l1$ugroup$u1'(sK91)
    | 'm1$usubset$u1'('k2$ugroup$u1'(sK90),'u1$ustruct$u0'(sK91)) ),
    inference(superposition,[status(thm)],[d4,c21]) ).

cnf(d6,plain,
    ( 'v3$ustruct$u0'(sK90)
    | ~ 'v3$ustruct$u0'(sK91)
    | ~ 'v3$ugroup$u1'(sK90)
    | ~ 'l1$ugroup$u1'(sK90) ),
    inference(resolution,[status(thm)],[c23,c78]) ).

cnf(d7,plain,
    ( ~ 'v3$ustruct$u0'(sK91)
    | ~ 'v3$ugroup$u1'(sK90)
    | ~ 'l1$ugroup$u1'(sK90) ),
    inference(resolution,[status(thm)],[c73,d6]) ).

cnf(d8,plain,
    ( ~ 'v3$ustruct$u0'(sK91)
    | ~ 'l1$ugroup$u1'(sK90) ),
    inference(resolution,[status(thm)],[c74,d7]) ).

cnf(d9,plain,
    ~ 'v3$ustruct$u0'(sK91),
    inference(resolution,[status(thm)],[c76,d8]) ).

cnf(d10,plain,
    ( 'm1$usubset$u1'('k2$ugroup$u1'(sK90),'u1$ustruct$u0'(sK91))
    | ~ 'l1$ugroup$u1'(sK91) ),
    inference(resolution,[status(thm)],[d9,d5]) ).

cnf(d11,plain,
    ( 'v3$ustruct$u0'(sK90)
    | ~ 'v3$ugroup$u1'(sK90)
    | ~ 'l1$ugroup$u1'(sK90)
    | 'l1$ugroup$u1'(sK91) ),
    inference(resolution,[status(thm)],[c25,c78]) ).

cnf(d12,plain,
    ( ~ 'v3$ugroup$u1'(sK90)
    | 'l1$ugroup$u1'(sK91)
    | ~ 'l1$ugroup$u1'(sK90) ),
    inference(resolution,[status(thm)],[c73,d11]) ).

cnf(d13,plain,
    ( 'l1$ugroup$u1'(sK91)
    | ~ 'l1$ugroup$u1'(sK90) ),
    inference(resolution,[status(thm)],[c74,d12]) ).

cnf(d14,plain,
    'l1$ugroup$u1'(sK91),
    inference(resolution,[status(thm)],[c76,d13]) ).

cnf(d15,plain,
    'm1$usubset$u1'('k2$ugroup$u1'(sK90),'u1$ustruct$u0'(sK91)),
    inference(resolution,[status(thm)],[d14,d10]) ).

cnf(d16,plain,
    ( 'v1$uxboole$u0'('u1$ustruct$u0'(sK91))
    | 'r2$uhidden'('k2$ugroup$u1'(sK90),'u1$ustruct$u0'(sK91)) ),
    inference(resolution,[status(thm)],[d15,c64]) ).

cnf(d17,plain,
    ( 'v3$ustruct$u0'(X0)
    | ~ 'v3$ugroup$u1'(X0)
    | ~ 'v4$ugroup$u1'(X0)
    | ~ 'm1$ugroup$u2'(X1,X0)
    | ~ 'm2$urelset$u1'('k1$ulatsubgr'(X0),'k1$ugroup$u3'(X0),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
    | ~ 'v1$ufunct$u2'('k1$ulatsubgr'(X0),'k1$ugroup$u3'(X0),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
    | ~ 'v1$ufunct$u1'('k1$ulatsubgr'(X0))
    | ~ 'v1$ugroup$u1'(X1)
    | ~ 'l1$ugroup$u1'(X0)
    | 'k1$ufunct$u1'('k1$ulatsubgr'(X0),X1) = 'u1$ustruct$u0'(X1) ),
    inference(equality_resolution,[status(thm)],[c12]) ).

cnf(d18,plain,
    ( 'v3$ustruct$u0'(X0)
    | ~ 'v3$ugroup$u1'(X0)
    | ~ 'v4$ugroup$u1'(X0)
    | ~ 'l1$ugroup$u1'(X0)
    | 'v3$ustruct$u0'(X0)
    | ~ 'v3$ugroup$u1'(X0)
    | ~ 'v4$ugroup$u1'(X0)
    | ~ 'm1$ugroup$u2'(X1,X0)
    | ~ 'v1$ufunct$u2'('k1$ulatsubgr'(X0),'k1$ugroup$u3'(X0),'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
    | ~ 'v1$ufunct$u1'('k1$ulatsubgr'(X0))
    | ~ 'v1$ugroup$u1'(X1)
    | ~ 'l1$ugroup$u1'(X0)
    | 'k1$ufunct$u1'('k1$ulatsubgr'(X0),X1) = 'u1$ustruct$u0'(X1) ),
    inference(resolution,[status(thm)],[d17,c20]) ).

cnf(d19,plain,
    ( 'v3$ustruct$u0'(X0)
    | ~ 'v3$ugroup$u1'(X0)
    | ~ 'v4$ugroup$u1'(X0)
    | ~ 'l1$ugroup$u1'(X0)
    | 'v3$ustruct$u0'(X0)
    | ~ 'v3$ugroup$u1'(X0)
    | ~ 'v4$ugroup$u1'(X0)
    | ~ 'm1$ugroup$u2'(X1,X0)
    | ~ 'v1$ufunct$u1'('k1$ulatsubgr'(X0))
    | ~ 'v1$ugroup$u1'(X1)
    | ~ 'l1$ugroup$u1'(X0)
    | 'k1$ufunct$u1'('k1$ulatsubgr'(X0),X1) = 'u1$ustruct$u0'(X1) ),
    inference(resolution,[status(thm)],[d18,c19]) ).

cnf(d20,plain,
    ( 'v3$ustruct$u0'(sK90)
    | ~ 'v3$ugroup$u1'(sK90)
    | ~ 'v4$ugroup$u1'(sK90)
    | ~ 'v1$ufunct$u1'('k1$ulatsubgr'(sK90))
    | ~ 'v1$ugroup$u1'(sK91)
    | ~ 'l1$ugroup$u1'(sK90)
    | 'k1$ufunct$u1'('k1$ulatsubgr'(sK90),sK91) = 'u1$ustruct$u0'(sK91) ),
    inference(resolution,[status(thm)],[d19,c78]) ).

cnf(d21,plain,
    ( ~ 'v3$ugroup$u1'(sK90)
    | ~ 'v4$ugroup$u1'(sK90)
    | ~ 'v1$ufunct$u1'('k1$ulatsubgr'(sK90))
    | ~ 'v1$ugroup$u1'(sK91)
    | ~ 'l1$ugroup$u1'(sK90)
    | 'k1$ufunct$u1'('k1$ulatsubgr'(sK90),sK91) = 'u1$ustruct$u0'(sK91) ),
    inference(resolution,[status(thm)],[c73,d20]) ).

cnf(d22,plain,
    ( ~ 'v4$ugroup$u1'(sK90)
    | ~ 'v1$ufunct$u1'('k1$ulatsubgr'(sK90))
    | ~ 'v1$ugroup$u1'(sK91)
    | ~ 'l1$ugroup$u1'(sK90)
    | 'k1$ufunct$u1'('k1$ulatsubgr'(sK90),sK91) = 'u1$ustruct$u0'(sK91) ),
    inference(resolution,[status(thm)],[c74,d21]) ).

cnf(d23,plain,
    ( ~ 'v1$ufunct$u1'('k1$ulatsubgr'(sK90))
    | ~ 'v1$ugroup$u1'(sK91)
    | ~ 'l1$ugroup$u1'(sK90)
    | 'k1$ufunct$u1'('k1$ulatsubgr'(sK90),sK91) = 'u1$ustruct$u0'(sK91) ),
    inference(resolution,[status(thm)],[c75,d22]) ).

cnf(d24,plain,
    ( ~ 'v1$ufunct$u1'('k1$ulatsubgr'(sK90))
    | ~ 'v1$ugroup$u1'(sK91)
    | 'k1$ufunct$u1'('k1$ulatsubgr'(sK90),sK91) = 'u1$ustruct$u0'(sK91) ),
    inference(resolution,[status(thm)],[c76,d23]) ).

cnf(d25,plain,
    ( ~ 'v1$ufunct$u1'('k1$ulatsubgr'(sK90))
    | 'k1$ufunct$u1'('k1$ulatsubgr'(sK90),sK91) = 'u1$ustruct$u0'(sK91) ),
    inference(resolution,[status(thm)],[c77,d24]) ).

cnf(d26,plain,
    ( 'v3$ustruct$u0'(sK90)
    | ~ 'v3$ugroup$u1'(sK90)
    | ~ 'v4$ugroup$u1'(sK90)
    | ~ 'l1$ugroup$u1'(sK90)
    | 'k1$ufunct$u1'('k1$ulatsubgr'(sK90),sK91) = 'u1$ustruct$u0'(sK91) ),
    inference(resolution,[status(thm)],[d25,c18]) ).

cnf(d27,plain,
    ( ~ 'v3$ugroup$u1'(sK90)
    | ~ 'v4$ugroup$u1'(sK90)
    | ~ 'l1$ugroup$u1'(sK90)
    | 'k1$ufunct$u1'('k1$ulatsubgr'(sK90),sK91) = 'u1$ustruct$u0'(sK91) ),
    inference(resolution,[status(thm)],[c73,d26]) ).

cnf(d28,plain,
    ( ~ 'v4$ugroup$u1'(sK90)
    | ~ 'l1$ugroup$u1'(sK90)
    | 'k1$ufunct$u1'('k1$ulatsubgr'(sK90),sK91) = 'u1$ustruct$u0'(sK91) ),
    inference(resolution,[status(thm)],[c74,d27]) ).

cnf(d29,plain,
    ( ~ 'l1$ugroup$u1'(sK90)
    | 'k1$ufunct$u1'('k1$ulatsubgr'(sK90),sK91) = 'u1$ustruct$u0'(sK91) ),
    inference(resolution,[status(thm)],[c75,d28]) ).

cnf(d30,plain,
    'k1$ufunct$u1'('k1$ulatsubgr'(sK90),sK91) = 'u1$ustruct$u0'(sK91),
    inference(resolution,[status(thm)],[c76,d29]) ).

cnf(d31,plain,
    ~ 'r2$uhidden'('k2$ugroup$u1'(sK90),'u1$ustruct$u0'(sK91)),
    inference(demodulation,[status(thm)],[c79,d30]) ).

cnf(d32,plain,
    'v1$uxboole$u0'('u1$ustruct$u0'(sK91)),
    inference(resolution,[status(thm)],[d31,d16]) ).

cnf(d33,plain,
    ( ~ 'l1$ustruct$u0'(sK91)
    | 'v3$ustruct$u0'(sK91) ),
    inference(resolution,[status(thm)],[d32,c37]) ).

cnf(d34,plain,
    ~ 'l1$ustruct$u0'(sK91),
    inference(resolution,[status(thm)],[d9,d33]) ).

cnf(d35,plain,
    'l1$ustruct$u0'(sK91),
    inference(resolution,[status(thm)],[d14,c22]) ).

cnf(d36,plain,
    $false,
    inference(resolution,[status(thm)],[d35,d34]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : GRP641+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42  % Computer : n011.cluster.edu
% 0.15/0.42  % Model    : x86_64 x86_64
% 0.15/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42  % Memory   : 8046.5625MB
% 0.15/0.42  % OS       : Linux 6.8.0-71-generic
% 0.15/0.42  % CPULimit : 300
% 0.15/0.42  % WCLimit  : 300
% 0.15/0.42  % DateTime : Fri Sep 25 15:18:31 UTC 2026
% 0.15/0.42  % CPUTime  : 
% 0.15/0.42  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.83/4.23  % SZS status Theorem for theBenchmark.p
% 8.83/4.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------