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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SEU417+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 : n004.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 08:41:57 AM UTC 2026

% Result   : Theorem 23.43s 4.21s
% Output   : CNFRefutation 23.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   49 (   9 unt;   0 def)
%            Number of atoms       :  134 (  11 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  170 (  85   ~;  63   |;   5   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-3 aty)
%            Number of variables   :   74 (   2 sgn  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(dt_k4_subset_1,axiom,
    ! [X0,X1,X2] :
      ( ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
        & 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0)) )
     => 'm1$usubset$u1'('k4$usubset$u1'(X0,X1,X2),'k1$uzfmisc$u1'(X0)) ) ).

fof(dt_k5_subset_1,axiom,
    ! [X0,X1,X2] :
      ( ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
        & 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0)) )
     => 'm1$usubset$u1'('k5$usubset$u1'(X0,X1,X2),'k1$uzfmisc$u1'(X0)) ) ).

fof(redefinition_k1_relset_2,axiom,
    ! [X0,X1,X2] :
      ( ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
        & 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0))) )
     => 'k1$urelset$u2'(X0,X1,X2) = 'k3$uxboole$u0'(X1,X2) ) ).

fof(redefinition_k4_subset_1,axiom,
    ! [X0,X1,X2] :
      ( ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
        & 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0)) )
     => 'k4$usubset$u1'(X0,X1,X2) = 'k2$uxboole$u0'(X1,X2) ) ).

fof(redefinition_k5_subset_1,axiom,
    ! [X0,X1,X2] :
      ( ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
        & 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0)) )
     => 'k5$usubset$u1'(X0,X1,X2) = 'k3$uxboole$u0'(X1,X2) ) ).

fof(t29_xboole_1,axiom,
    ! [X0,X1,X2] : 'r1$utarski'('k3$uxboole$u0'(X0,X1),'k2$uxboole$u0'(X0,X2)) ).

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

fof(t59_setfam_1,axiom,
    ! [X0,X1] :
      ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
     => ! [X2] :
          ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
         => ( 'r1$utarski'(X1,X2)
           => 'r1$utarski'('k8$usetfam$u1'(X0,X2),'k8$usetfam$u1'(X0,X1)) ) ) ) ).

fof(t8_mssubfam,axiom,
    ! [X0,X1] :
      ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
     => ! [X2] :
          ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
         => ! [X3] :
              ( 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
             => ( X1 = 'k4$usubset$u1'('k1$uzfmisc$u1'(X0),X2,X3)
               => 'k8$usetfam$u1'(X0,X1) = 'k5$usubset$u1'(X0,'k8$usetfam$u1'(X0,X2),'k8$usetfam$u1'(X0,X3)) ) ) ) ) ).

fof(t7_relset_2,conjecture,
    ! [X0,X1] :
      ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
     => ! [X2] :
          ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
         => 'r1$utarski'('k5$usubset$u1'(X0,'k8$usetfam$u1'(X0,X1),'k8$usetfam$u1'(X0,X2)),'k8$usetfam$u1'(X0,'k1$urelset$u2'(X0,X1,X2))) ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ! [X0,X1] :
        ( 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
       => ! [X2] :
            ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
           => 'r1$utarski'('k5$usubset$u1'(X0,'k8$usetfam$u1'(X0,X1),'k8$usetfam$u1'(X0,X2)),'k8$usetfam$u1'(X0,'k1$urelset$u2'(X0,X1,X2))) ) ),
    inference(negate_conjecture,[status(cth)],[t7_relset_2]) ).

cnf(c8,plain,
    ( 'm1$usubset$u1'('k4$usubset$u1'(X1,X0,X2),'k1$uzfmisc$u1'(X1))
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X1))
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
    inference(clausification,[status(esa)],[dt_k4_subset_1]) ).

cnf(c9,plain,
    ( 'm1$usubset$u1'('k5$usubset$u1'(X1,X0,X2),'k1$uzfmisc$u1'(X1))
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X1))
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
    inference(clausification,[status(esa)],[dt_k5_subset_1]) ).

cnf(c35,plain,
    ( 'k1$urelset$u2'(X1,X0,X2) = 'k3$uxboole$u0'(X0,X2)
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X1)))
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X1))) ),
    inference(clausification,[status(esa)],[redefinition_k1_relset_2]) ).

cnf(c36,plain,
    ( 'k4$usubset$u1'(X1,X0,X2) = 'k2$uxboole$u0'(X0,X2)
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X1))
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
    inference(clausification,[status(esa)],[redefinition_k4_subset_1]) ).

cnf(c37,plain,
    ( 'k5$usubset$u1'(X1,X0,X2) = 'k3$uxboole$u0'(X0,X2)
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X1))
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
    inference(clausification,[status(esa)],[redefinition_k5_subset_1]) ).

cnf(c41,plain,
    'r1$utarski'('k3$uxboole$u0'(X0,X1),'k2$uxboole$u0'(X0,X2)),
    inference(clausification,[status(esa)],[t29_xboole_1]) ).

cnf(c44,plain,
    ( 'r1$utarski'(X0,X1)
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
    inference(clausification,[status(esa)],[t3_subset]) ).

cnf(c45,plain,
    ( ~ 'r1$utarski'(X0,X1)
    | 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
    inference(clausification,[status(esa)],[t3_subset]) ).

cnf(c47,plain,
    ( 'r1$utarski'('k8$usetfam$u1'(X1,X2),'k8$usetfam$u1'(X1,X0))
    | ~ 'r1$utarski'(X0,X2)
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X1)))
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X1))) ),
    inference(clausification,[status(esa)],[t59_setfam_1]) ).

cnf(c52,plain,
    ( ~ 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X1)))
    | X2 != 'k4$usubset$u1'('k1$uzfmisc$u1'(X1),X3,X0)
    | 'k8$usetfam$u1'(X1,X2) = 'k5$usubset$u1'(X1,'k8$usetfam$u1'(X1,X3),'k8$usetfam$u1'(X1,X0))
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X1)))
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X1))) ),
    inference(clausification,[status(esa)],[t8_mssubfam]) ).

cnf(c53,plain,
    'm1$usubset$u1'(sK95,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c54,plain,
    'm1$usubset$u1'(sK96,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c55,plain,
    ~ 'r1$utarski'('k5$usubset$u1'(sK94,'k8$usetfam$u1'(sK94,sK95),'k8$usetfam$u1'(sK94,sK96)),'k8$usetfam$u1'(sK94,'k1$urelset$u2'(sK94,sK95,sK96))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    ( 'r1$utarski'('k5$usubset$u1'(X1,X2,X0),X1)
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X1))
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
    inference(resolution,[status(thm)],[c9,c44]) ).

cnf(d1,plain,
    ( ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
    | ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
    | 'r1$utarski'('k3$uxboole$u0'(X1,X2),X0) ),
    inference(superposition,[status(thm)],[c37,d0]) ).

cnf(d2,plain,
    ( ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
    | ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'(X0))
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
    | 'm1$usubset$u1'('k2$uxboole$u0'(X1,X2),'k1$uzfmisc$u1'(X0)) ),
    inference(superposition,[status(thm)],[c36,c8]) ).

cnf(d3,plain,
    ( ~ 'm1$usubset$u1'(sK96,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'(sK95,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'r1$utarski'('k5$usubset$u1'(sK94,'k8$usetfam$u1'(sK94,sK95),'k8$usetfam$u1'(sK94,sK96)),'k8$usetfam$u1'(sK94,'k3$uxboole$u0'(sK95,sK96))) ),
    inference(superposition,[status(thm)],[c35,c55]) ).

cnf(d4,plain,
    ( ~ 'r1$utarski'('k5$usubset$u1'(sK94,'k8$usetfam$u1'(sK94,sK95),'k8$usetfam$u1'(sK94,sK96)),'k8$usetfam$u1'(sK94,'k3$uxboole$u0'(sK95,sK96)))
    | ~ 'm1$usubset$u1'(sK96,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))) ),
    inference(resolution,[status(thm)],[c53,d3]) ).

cnf(d5,plain,
    ~ 'r1$utarski'('k5$usubset$u1'(sK94,'k8$usetfam$u1'(sK94,sK95),'k8$usetfam$u1'(sK94,sK96)),'k8$usetfam$u1'(sK94,'k3$uxboole$u0'(sK95,sK96))),
    inference(resolution,[status(thm)],[c54,d4]) ).

cnf(d6,plain,
    ( ~ 'm1$usubset$u1'('k4$usubset$u1'('k1$uzfmisc$u1'(X0),X1,X2),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
    | ~ 'm1$usubset$u1'(X1,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(X0)))
    | 'k8$usetfam$u1'(X0,'k4$usubset$u1'('k1$uzfmisc$u1'(X0),X1,X2)) = 'k5$usubset$u1'(X0,'k8$usetfam$u1'(X0,X1),'k8$usetfam$u1'(X0,X2)) ),
    inference(equality_resolution,[status(thm)],[c52]) ).

cnf(d7,plain,
    ( ~ 'm1$usubset$u1'('k4$usubset$u1'('k1$uzfmisc$u1'(sK94),sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'(sK95,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'(sK96,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'r1$utarski'('k8$usetfam$u1'(sK94,'k4$usubset$u1'('k1$uzfmisc$u1'(sK94),sK95,sK96)),'k8$usetfam$u1'(sK94,'k3$uxboole$u0'(sK95,sK96))) ),
    inference(superposition,[status(thm)],[d6,d5]) ).

cnf(d8,plain,
    ( ~ 'r1$utarski'('k8$usetfam$u1'(sK94,'k4$usubset$u1'('k1$uzfmisc$u1'(sK94),sK95,sK96)),'k8$usetfam$u1'(sK94,'k3$uxboole$u0'(sK95,sK96)))
    | ~ 'm1$usubset$u1'(sK96,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'('k4$usubset$u1'('k1$uzfmisc$u1'(sK94),sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))) ),
    inference(resolution,[status(thm)],[c53,d7]) ).

cnf(d9,plain,
    ( ~ 'r1$utarski'('k8$usetfam$u1'(sK94,'k4$usubset$u1'('k1$uzfmisc$u1'(sK94),sK95,sK96)),'k8$usetfam$u1'(sK94,'k3$uxboole$u0'(sK95,sK96)))
    | ~ 'm1$usubset$u1'('k4$usubset$u1'('k1$uzfmisc$u1'(sK94),sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))) ),
    inference(resolution,[status(thm)],[c54,d8]) ).

cnf(d10,plain,
    ( ~ 'm1$usubset$u1'(sK95,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'(sK96,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'('k4$usubset$u1'('k1$uzfmisc$u1'(sK94),sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'r1$utarski'('k8$usetfam$u1'(sK94,'k2$uxboole$u0'(sK95,sK96)),'k8$usetfam$u1'(sK94,'k3$uxboole$u0'(sK95,sK96))) ),
    inference(superposition,[status(thm)],[c36,d9]) ).

cnf(d11,plain,
    ( ~ 'r1$utarski'('k8$usetfam$u1'(sK94,'k2$uxboole$u0'(sK95,sK96)),'k8$usetfam$u1'(sK94,'k3$uxboole$u0'(sK95,sK96)))
    | ~ 'm1$usubset$u1'(sK96,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'('k4$usubset$u1'('k1$uzfmisc$u1'(sK94),sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))) ),
    inference(resolution,[status(thm)],[c53,d10]) ).

cnf(d12,plain,
    ( ~ 'r1$utarski'('k8$usetfam$u1'(sK94,'k2$uxboole$u0'(sK95,sK96)),'k8$usetfam$u1'(sK94,'k3$uxboole$u0'(sK95,sK96)))
    | ~ 'm1$usubset$u1'('k4$usubset$u1'('k1$uzfmisc$u1'(sK94),sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))) ),
    inference(resolution,[status(thm)],[c54,d11]) ).

cnf(d13,plain,
    ( ~ 'r1$utarski'('k3$uxboole$u0'(sK95,sK96),'k2$uxboole$u0'(sK95,sK96))
    | ~ 'm1$usubset$u1'('k3$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'('k2$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'('k4$usubset$u1'('k1$uzfmisc$u1'(sK94),sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))) ),
    inference(resolution,[status(thm)],[d12,c47]) ).

cnf(d14,plain,
    ( ~ 'm1$usubset$u1'('k4$usubset$u1'('k1$uzfmisc$u1'(sK94),sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'('k3$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'('k2$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))) ),
    inference(resolution,[status(thm)],[c41,d13]) ).

cnf(d15,plain,
    ( ~ 'm1$usubset$u1'(sK95,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'(sK96,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'('k3$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'('k2$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))) ),
    inference(resolution,[status(thm)],[d14,c8]) ).

cnf(d16,plain,
    ( ~ 'm1$usubset$u1'(sK96,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'('k3$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'('k2$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))) ),
    inference(resolution,[status(thm)],[c53,d15]) ).

cnf(d17,plain,
    ( ~ 'm1$usubset$u1'('k3$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'('k2$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))) ),
    inference(resolution,[status(thm)],[c54,d16]) ).

cnf(d18,plain,
    ( ~ 'r1$utarski'('k3$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'(sK94))
    | ~ 'm1$usubset$u1'('k2$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))) ),
    inference(resolution,[status(thm)],[d17,c45]) ).

cnf(d19,plain,
    ( ~ 'm1$usubset$u1'(sK95,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'(sK96,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'r1$utarski'('k3$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'(sK94)) ),
    inference(resolution,[status(thm)],[d18,d2]) ).

cnf(d20,plain,
    ( ~ 'r1$utarski'('k3$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'(sK94))
    | ~ 'm1$usubset$u1'(sK96,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))) ),
    inference(resolution,[status(thm)],[c53,d19]) ).

cnf(d21,plain,
    ~ 'r1$utarski'('k3$uxboole$u0'(sK95,sK96),'k1$uzfmisc$u1'(sK94)),
    inference(resolution,[status(thm)],[c54,d20]) ).

cnf(d22,plain,
    ( ~ 'm1$usubset$u1'(sK95,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94)))
    | ~ 'm1$usubset$u1'(sK96,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))) ),
    inference(resolution,[status(thm)],[d21,d1]) ).

cnf(d23,plain,
    ~ 'm1$usubset$u1'(sK96,'k1$uzfmisc$u1'('k1$uzfmisc$u1'(sK94))),
    inference(resolution,[status(thm)],[c53,d22]) ).

cnf(d24,plain,
    $false,
    inference(resolution,[status(thm)],[c54,d23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU417+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35  % Computer : n004.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Sat Sep 26 09:35:06 UTC 2026
% 0.07/0.36  % CPUTime  : 
% 0.07/0.36  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.43/4.21  % SZS status Theorem for theBenchmark.p
% 23.43/4.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------