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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : LAT313+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n019.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 07:48:15 AM UTC 2026

% Result   : Theorem 18.14s 7.79s
% Output   : CNFRefutation 18.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   77 (  20 unt;   0 def)
%            Number of atoms       :  248 (  34 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives :  298 ( 127   ~; 125   |;  26   &)
%                                         (   2 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   41 (   1 sgn  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(d8_filter_2,axiom,
    ! [X0] :
      ( ( 'l3$ulattices'(X0)
        & 'v10$ulattices'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => 'k17$ufilter$u2'(X0) = 'u1$ustruct$u0'(X0) ) ).

fof(dt_k17_filter_2,axiom,
    ! [X0] :
      ( ( 'l3$ulattices'(X0)
        & 'v10$ulattices'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => 'm2$ufilter$u2'('k17$ufilter$u2'(X0),X0) ) ).

fof(dt_m2_filter_2,axiom,
    ! [X0] :
      ( ( 'l3$ulattices'(X0)
        & 'v10$ulattices'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => ! [X1] :
          ( 'm2$ufilter$u2'(X1,X0)
         => ( 'm2$ulattice4'(X1,X0)
            & ~ 'v1$uxboole$u0'(X1) ) ) ) ).

fof(dt_m2_lattice4,axiom,
    ! [X0] :
      ( ( 'l3$ulattices'(X0)
        & 'v10$ulattices'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => ! [X1] :
          ( 'm2$ulattice4'(X1,X0)
         => 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0))) ) ) ).

fof(redefinition_r1_filter_2,axiom,
    ! [X0,X1,X2] :
      ( ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
        & 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
        & ~ 'v1$uxboole$u0'(X0) )
     => ( 'r1$ufilter$u2'(X0,X1,X2)
      <=> X1 = X2 ) ) ).

fof(reflexivity_r1_tarski,axiom,
    ! [X0,X1] : 'r1$utarski'(X0,X0) ).

fof(t38_filter_2,axiom,
    ! [X0] :
      ( ( 'l3$ulattices'(X0)
        & 'v10$ulattices'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => ! [X1] :
          ( 'm2$ufilter$u2'(X1,X0)
         => 'r1$ufilter$u2'('u1$ustruct$u0'(X0),'k19$ufilter$u2'(X0,X1),X1) ) ) ).

fof(t3_subset,axiom,
    ! [X0,X1] :
      ( 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1))
    <=> 'r1$utarski'(X0,X1) ) ).

fof(t42_filter_2,axiom,
    ! [X0] :
      ( ( 'l3$ulattices'(X0)
        & 'v10$ulattices'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => ! [X1] :
          ( ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('u1$ustruct$u0'(X0)))
            & ~ 'v1$uxboole$u0'(X1) )
         => ( ( 'r2$uhidden'('k6$ulattices'(X0),X1)
              & 'v14$ulattices'(X0) )
           => ( 'k19$ufilter$u2'(X0,X1) = 'u1$ustruct$u0'(X0)
              & 'r1$ufilter$u2'('u1$ustruct$u0'(X0),'k19$ufilter$u2'(X0,X1),'k17$ufilter$u2'(X0)) ) ) ) ) ).

fof(t43_filter_2,conjecture,
    ! [X0] :
      ( ( 'l3$ulattices'(X0)
        & 'v10$ulattices'(X0)
        & ~ 'v3$ustruct$u0'(X0) )
     => ! [X1] :
          ( 'm2$ufilter$u2'(X1,X0)
         => ( ( 'r2$uhidden'('k6$ulattices'(X0),X1)
              & 'v14$ulattices'(X0) )
           => ( X1 = 'u1$ustruct$u0'(X0)
              & 'r1$ufilter$u2'('u1$ustruct$u0'(X0),X1,'k17$ufilter$u2'(X0)) ) ) ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ! [X0] :
        ( ( 'l3$ulattices'(X0)
          & 'v10$ulattices'(X0)
          & ~ 'v3$ustruct$u0'(X0) )
       => ! [X1] :
            ( 'm2$ufilter$u2'(X1,X0)
           => ( ( 'r2$uhidden'('k6$ulattices'(X0),X1)
                & 'v14$ulattices'(X0) )
             => ( X1 = 'u1$ustruct$u0'(X0)
                & 'r1$ufilter$u2'('u1$ustruct$u0'(X0),X1,'k17$ufilter$u2'(X0)) ) ) ) ),
    inference(negate_conjecture,[status(cth)],[t43_filter_2]) ).

cnf(c12,plain,
    ( 'k17$ufilter$u2'(X0) = 'u1$ustruct$u0'(X0)
    | ~ 'l3$ulattices'(X0)
    | ~ 'v10$ulattices'(X0)
    | 'v3$ustruct$u0'(X0) ),
    inference(clausification,[status(esa)],[d8_filter_2]) ).

cnf(c13,plain,
    ( 'm2$ufilter$u2'('k17$ufilter$u2'(X0),X0)
    | ~ 'l3$ulattices'(X0)
    | ~ 'v10$ulattices'(X0)
    | 'v3$ustruct$u0'(X0) ),
    inference(clausification,[status(esa)],[dt_k17_filter_2]) ).

cnf(c20,plain,
    ( ~ 'm2$ufilter$u2'(X1,X0)
    | 'v3$ustruct$u0'(X0)
    | ~ 'v1$uxboole$u0'(X1)
    | ~ 'l3$ulattices'(X0)
    | ~ 'v10$ulattices'(X0) ),
    inference(clausification,[status(esa)],[dt_m2_filter_2]) ).

cnf(c21,plain,
    ( ~ 'm2$ufilter$u2'(X1,X0)
    | 'v3$ustruct$u0'(X0)
    | 'm2$ulattice4'(X1,X0)
    | ~ 'l3$ulattices'(X0)
    | ~ 'v10$ulattices'(X0) ),
    inference(clausification,[status(esa)],[dt_m2_filter_2]) ).

cnf(c22,plain,
    ( ~ 'l3$ulattices'(X1)
    | 'v3$ustruct$u0'(X1)
    | 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1)))
    | ~ 'v10$ulattices'(X1)
    | ~ 'm2$ulattice4'(X0,X1) ),
    inference(clausification,[status(esa)],[dt_m2_lattice4]) ).

cnf(c45,plain,
    ( X0 = X2
    | 'v1$uxboole$u0'(X1)
    | ~ 'r1$ufilter$u2'(X1,X0,X2)
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X1))
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
    inference(clausification,[status(esa)],[redefinition_r1_filter_2]) ).

cnf(c48,plain,
    'r1$utarski'(X0,X0),
    inference(clausification,[status(esa)],[reflexivity_r1_tarski]) ).

cnf(c52,plain,
    ( ~ 'm2$ufilter$u2'(X1,X0)
    | 'r1$ufilter$u2'('u1$ustruct$u0'(X0),'k19$ufilter$u2'(X0,X1),X1)
    | 'v3$ustruct$u0'(X0)
    | ~ 'l3$ulattices'(X0)
    | ~ 'v10$ulattices'(X0) ),
    inference(clausification,[status(esa)],[t38_filter_2]) ).

cnf(c54,plain,
    ( ~ 'r1$utarski'(X0,X1)
    | 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
    inference(clausification,[status(esa)],[t3_subset]) ).

cnf(c56,plain,
    ( 'v1$uxboole$u0'(X0)
    | ~ 'v14$ulattices'(X1)
    | 'v3$ustruct$u0'(X1)
    | 'k19$ufilter$u2'(X1,X0) = 'u1$ustruct$u0'(X1)
    | ~ 'r2$uhidden'('k6$ulattices'(X1),X0)
    | ~ 'l3$ulattices'(X1)
    | ~ 'v10$ulattices'(X1)
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('u1$ustruct$u0'(X1))) ),
    inference(clausification,[status(esa)],[t42_filter_2]) ).

cnf(c62,plain,
    ~ 'v3$ustruct$u0'(sK73),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c63,plain,
    'v10$ulattices'(sK73),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c64,plain,
    'l3$ulattices'(sK73),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c65,plain,
    'm2$ufilter$u2'(sK74,sK73),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c66,plain,
    'v14$ulattices'(sK73),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c67,plain,
    'r2$uhidden'('k6$ulattices'(sK73),sK74),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c68,plain,
    ( sK74 != 'u1$ustruct$u0'(sK73)
    | ~ 'r1$ufilter$u2'('u1$ustruct$u0'(sK73),sK74,'k17$ufilter$u2'(sK73)) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( ~ 'm2$ulattice4'(X1,X0)
    | 'v3$ustruct$u0'(X0)
    | ~ 'l3$ulattices'(X0)
    | ~ 'v10$ulattices'(X0)
    | ~ 'v14$ulattices'(X0)
    | 'v3$ustruct$u0'(X0)
    | ~ 'l3$ulattices'(X0)
    | ~ 'v10$ulattices'(X0)
    | 'v1$uxboole$u0'(X1)
    | ~ 'r2$uhidden'('k6$ulattices'(X0),X1)
    | 'k19$ufilter$u2'(X0,X1) = 'u1$ustruct$u0'(X0) ),
    inference(resolution,[status(thm)],[c56,c22]) ).

cnf(d1,plain,
    ( ~ 'v14$ulattices'(sK73)
    | ~ 'm2$ulattice4'(sK74,sK73)
    | 'v3$ustruct$u0'(sK73)
    | ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73)
    | 'v1$uxboole$u0'(sK74)
    | 'k19$ufilter$u2'(sK73,sK74) = 'u1$ustruct$u0'(sK73) ),
    inference(resolution,[status(thm)],[d0,c67]) ).

cnf(d2,plain,
    ( ~ 'v14$ulattices'(sK73)
    | ~ 'm2$ulattice4'(sK74,sK73)
    | ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73)
    | 'v1$uxboole$u0'(sK74)
    | 'k19$ufilter$u2'(sK73,sK74) = 'u1$ustruct$u0'(sK73) ),
    inference(resolution,[status(thm)],[c62,d1]) ).

cnf(d3,plain,
    ( ~ 'v14$ulattices'(sK73)
    | ~ 'm2$ulattice4'(sK74,sK73)
    | ~ 'l3$ulattices'(sK73)
    | 'v1$uxboole$u0'(sK74)
    | 'k19$ufilter$u2'(sK73,sK74) = 'u1$ustruct$u0'(sK73) ),
    inference(resolution,[status(thm)],[c63,d2]) ).

cnf(d4,plain,
    ( ~ 'v14$ulattices'(sK73)
    | ~ 'm2$ulattice4'(sK74,sK73)
    | 'v1$uxboole$u0'(sK74)
    | 'k19$ufilter$u2'(sK73,sK74) = 'u1$ustruct$u0'(sK73) ),
    inference(resolution,[status(thm)],[c64,d3]) ).

cnf(d5,plain,
    ( ~ 'm2$ulattice4'(sK74,sK73)
    | 'v1$uxboole$u0'(sK74)
    | 'k19$ufilter$u2'(sK73,sK74) = 'u1$ustruct$u0'(sK73) ),
    inference(resolution,[status(thm)],[c66,d4]) ).

cnf(d6,plain,
    ( 'v3$ustruct$u0'(sK73)
    | ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73)
    | ~ 'v1$uxboole$u0'(sK74) ),
    inference(resolution,[status(thm)],[c20,c65]) ).

cnf(d7,plain,
    ( ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73)
    | ~ 'v1$uxboole$u0'(sK74) ),
    inference(resolution,[status(thm)],[c62,d6]) ).

cnf(d8,plain,
    ( ~ 'l3$ulattices'(sK73)
    | ~ 'v1$uxboole$u0'(sK74) ),
    inference(resolution,[status(thm)],[c63,d7]) ).

cnf(d9,plain,
    ~ 'v1$uxboole$u0'(sK74),
    inference(resolution,[status(thm)],[c64,d8]) ).

cnf(d10,plain,
    ( ~ 'm2$ulattice4'(sK74,sK73)
    | 'k19$ufilter$u2'(sK73,sK74) = 'u1$ustruct$u0'(sK73) ),
    inference(resolution,[status(thm)],[d9,d5]) ).

cnf(d11,plain,
    ( 'm2$ulattice4'(sK74,sK73)
    | 'v3$ustruct$u0'(sK73)
    | ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73) ),
    inference(resolution,[status(thm)],[c21,c65]) ).

cnf(d12,plain,
    ( 'm2$ulattice4'(sK74,sK73)
    | ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73) ),
    inference(resolution,[status(thm)],[c62,d11]) ).

cnf(d13,plain,
    ( 'm2$ulattice4'(sK74,sK73)
    | ~ 'l3$ulattices'(sK73) ),
    inference(resolution,[status(thm)],[c63,d12]) ).

cnf(d14,plain,
    'm2$ulattice4'(sK74,sK73),
    inference(resolution,[status(thm)],[c64,d13]) ).

cnf(d15,plain,
    'k19$ufilter$u2'(sK73,sK74) = 'u1$ustruct$u0'(sK73),
    inference(resolution,[status(thm)],[d14,d10]) ).

cnf(d16,plain,
    ( ~ 'm2$ufilter$u2'(sK74,sK73)
    | 'v3$ustruct$u0'(sK73)
    | ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73)
    | 'r1$ufilter$u2'('u1$ustruct$u0'(sK73),'u1$ustruct$u0'(sK73),sK74) ),
    inference(superposition,[status(thm)],[d15,c52]) ).

cnf(d17,plain,
    ( 'r1$ufilter$u2'('u1$ustruct$u0'(sK73),'u1$ustruct$u0'(sK73),sK74)
    | ~ 'm2$ufilter$u2'(sK74,sK73)
    | ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73) ),
    inference(resolution,[status(thm)],[c62,d16]) ).

cnf(d18,plain,
    ( 'r1$ufilter$u2'('u1$ustruct$u0'(sK73),'u1$ustruct$u0'(sK73),sK74)
    | ~ 'm2$ufilter$u2'(sK74,sK73)
    | ~ 'l3$ulattices'(sK73) ),
    inference(resolution,[status(thm)],[c63,d17]) ).

cnf(d19,plain,
    ( 'r1$ufilter$u2'('u1$ustruct$u0'(sK73),'u1$ustruct$u0'(sK73),sK74)
    | ~ 'm2$ufilter$u2'(sK74,sK73) ),
    inference(resolution,[status(thm)],[c64,d18]) ).

cnf(d20,plain,
    'r1$ufilter$u2'('u1$ustruct$u0'(sK73),'u1$ustruct$u0'(sK73),sK74),
    inference(resolution,[status(thm)],[c65,d19]) ).

cnf(d21,plain,
    ( ~ 'm1$usubset$u1'('u1$ustruct$u0'(sK73),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK73)))
    | ~ 'm1$usubset$u1'(sK74,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK73)))
    | 'v1$uxboole$u0'('u1$ustruct$u0'(sK73))
    | 'u1$ustruct$u0'(sK73) = sK74 ),
    inference(resolution,[status(thm)],[d20,c45]) ).

cnf(d22,plain,
    ( 'v3$ustruct$u0'(sK73)
    | ~ 'v10$ulattices'(sK73)
    | 'k17$ufilter$u2'(sK73) = 'u1$ustruct$u0'(sK73) ),
    inference(resolution,[status(thm)],[c12,c64]) ).

cnf(d23,plain,
    ( ~ 'v10$ulattices'(sK73)
    | 'k17$ufilter$u2'(sK73) = 'u1$ustruct$u0'(sK73) ),
    inference(resolution,[status(thm)],[c62,d22]) ).

cnf(d24,plain,
    'k17$ufilter$u2'(sK73) = 'u1$ustruct$u0'(sK73),
    inference(resolution,[status(thm)],[c63,d23]) ).

cnf(d25,plain,
    ( 'v3$ustruct$u0'(sK73)
    | ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73)
    | 'm2$ufilter$u2'('u1$ustruct$u0'(sK73),sK73) ),
    inference(superposition,[status(thm)],[d24,c13]) ).

cnf(d26,plain,
    ( 'm2$ufilter$u2'('u1$ustruct$u0'(sK73),sK73)
    | ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73) ),
    inference(resolution,[status(thm)],[c62,d25]) ).

cnf(d27,plain,
    ( 'm2$ufilter$u2'('u1$ustruct$u0'(sK73),sK73)
    | ~ 'l3$ulattices'(sK73) ),
    inference(resolution,[status(thm)],[c63,d26]) ).

cnf(d28,plain,
    'm2$ufilter$u2'('u1$ustruct$u0'(sK73),sK73),
    inference(resolution,[status(thm)],[c64,d27]) ).

cnf(d29,plain,
    ( 'v3$ustruct$u0'(sK73)
    | ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73)
    | ~ 'v1$uxboole$u0'('u1$ustruct$u0'(sK73)) ),
    inference(resolution,[status(thm)],[c20,d28]) ).

cnf(d30,plain,
    ( ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73)
    | ~ 'v1$uxboole$u0'('u1$ustruct$u0'(sK73)) ),
    inference(resolution,[status(thm)],[c62,d29]) ).

cnf(d31,plain,
    ( ~ 'l3$ulattices'(sK73)
    | ~ 'v1$uxboole$u0'('u1$ustruct$u0'(sK73)) ),
    inference(resolution,[status(thm)],[c63,d30]) ).

cnf(d32,plain,
    ~ 'v1$uxboole$u0'('u1$ustruct$u0'(sK73)),
    inference(resolution,[status(thm)],[c64,d31]) ).

cnf(d33,plain,
    ( ~ 'm1$usubset$u1'(sK74,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK73)))
    | ~ 'm1$usubset$u1'('u1$ustruct$u0'(sK73),'k1$uzfmisc$u1'('u1$ustruct$u0'(sK73)))
    | 'u1$ustruct$u0'(sK73) = sK74 ),
    inference(resolution,[status(thm)],[d32,d21]) ).

cnf(d34,plain,
    ( ~ 'r1$utarski'('u1$ustruct$u0'(sK73),'u1$ustruct$u0'(sK73))
    | ~ 'm1$usubset$u1'(sK74,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK73)))
    | 'u1$ustruct$u0'(sK73) = sK74 ),
    inference(resolution,[status(thm)],[d33,c54]) ).

cnf(d35,plain,
    ( ~ 'm1$usubset$u1'(sK74,'k1$uzfmisc$u1'('u1$ustruct$u0'(sK73)))
    | 'u1$ustruct$u0'(sK73) = sK74 ),
    inference(resolution,[status(thm)],[c48,d34]) ).

cnf(d36,plain,
    ( ~ 'm2$ulattice4'(sK74,sK73)
    | 'v3$ustruct$u0'(sK73)
    | ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73)
    | 'u1$ustruct$u0'(sK73) = sK74 ),
    inference(resolution,[status(thm)],[d35,c22]) ).

cnf(d37,plain,
    ( ~ 'm2$ulattice4'(sK74,sK73)
    | ~ 'l3$ulattices'(sK73)
    | ~ 'v10$ulattices'(sK73)
    | 'u1$ustruct$u0'(sK73) = sK74 ),
    inference(resolution,[status(thm)],[c62,d36]) ).

cnf(d38,plain,
    ( ~ 'm2$ulattice4'(sK74,sK73)
    | ~ 'l3$ulattices'(sK73)
    | 'u1$ustruct$u0'(sK73) = sK74 ),
    inference(resolution,[status(thm)],[c63,d37]) ).

cnf(d39,plain,
    ( ~ 'm2$ulattice4'(sK74,sK73)
    | 'u1$ustruct$u0'(sK73) = sK74 ),
    inference(resolution,[status(thm)],[c64,d38]) ).

cnf(d40,plain,
    'u1$ustruct$u0'(sK73) = sK74,
    inference(resolution,[status(thm)],[d14,d39]) ).

cnf(d41,plain,
    ( ~ 'r1$ufilter$u2'('u1$ustruct$u0'(sK73),sK74,'u1$ustruct$u0'(sK73))
    | sK74 != 'u1$ustruct$u0'(sK73) ),
    inference(demodulation,[status(thm)],[c68,d24]) ).

cnf(d42,plain,
    ( ~ 'r1$ufilter$u2'('u1$ustruct$u0'(sK73),sK74,'u1$ustruct$u0'(sK73))
    | sK74 != sK74 ),
    inference(demodulation,[status(thm)],[d41,d40]) ).

cnf(d43,plain,
    ( ~ 'r1$ufilter$u2'(sK74,sK74,'u1$ustruct$u0'(sK73))
    | sK74 != sK74 ),
    inference(demodulation,[status(thm)],[d42,d40]) ).

cnf(d44,plain,
    ( ~ 'r1$ufilter$u2'(sK74,sK74,sK74)
    | sK74 != sK74 ),
    inference(demodulation,[status(thm)],[d43,d40]) ).

cnf(d45,plain,
    'r1$ufilter$u2'(sK74,'u1$ustruct$u0'(sK73),sK74),
    inference(demodulation,[status(thm)],[d20,d40]) ).

cnf(d46,plain,
    'r1$ufilter$u2'(sK74,sK74,sK74),
    inference(demodulation,[status(thm)],[d45,d40]) ).

cnf(d47,plain,
    sK74 != sK74,
    inference(resolution,[status(thm)],[d46,d44]) ).

cnf(d48,plain,
    $false,
    inference(equality_resolution,[status(thm)],[d47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT313+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.38  % Computer : n019.cluster.edu
% 0.10/5.38  % Model    : x86_64 x86_64
% 0.10/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38  % Memory   : 8046.5625MB
% 0.10/5.38  % OS       : Linux 6.8.0-71-generic
% 0.10/5.38  % CPULimit : 300
% 0.10/5.38  % WCLimit  : 300
% 0.10/5.38  % DateTime : Fri Sep 25 20:45:26 UTC 2026
% 0.10/5.38  % CPUTime  : 
% 0.10/5.38  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.14/7.79  % SZS status Theorem for theBenchmark.p
% 18.14/7.79  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------