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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : SEU427+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 : n015.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 08:42:00 AM UTC 2026

% Result   : Theorem 13.14s 12.99s
% Output   : CNFRefutation 13.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   68 (  36 unt;   0 def)
%            Number of atoms       :  117 (  51 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   79 (  30   ~;  25   |;   5   &)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;   6 con; 0-4 aty)
%            Number of variables   :  105 (   4 sgn  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cc1_relset_1,axiom,
    ! [X0,X1,X2] :
      ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1)))
     => 'v1$urelat$u1'(X2) ) ).

fof(commutativity_k2_xboole_0,axiom,
    ! [X0,X1] : 'k2$uxboole$u0'(X0,X1) = 'k2$uxboole$u0'(X1,X0) ).

fof(d4_relset_2,axiom,
    ! [X0,X1,X2] :
      ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
     => ! [X3] :
          ( 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1)))
         => 'k7$urelset$u2'(X0,X1,X2,X3) = 'k8$usetfam$u1'(X1,'k4$urelset$u2'('k1$uzfmisc$u1'(X0),X1,'k6$urelset$u2'(X1,X0,X3),'k3$upua2mss1'(X2))) ) ) ).

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_k6_relset_2,axiom,
    ! [X0,X1,X2] :
      ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X0)))
     => ( 'm2$urelset$u1'('k6$urelset$u2'(X0,X1,X2),'k1$uzfmisc$u1'(X1),'k1$uzfmisc$u1'(X0))
        & 'v1$ufunct$u2'('k6$urelset$u2'(X0,X1,X2),'k1$uzfmisc$u1'(X1),'k1$uzfmisc$u1'(X0))
        & 'v1$ufunct$u1'('k6$urelset$u2'(X0,X1,X2)) ) ) ).

fof(dt_m2_relset_1,axiom,
    ! [X0,X1,X2] :
      ( 'm2$urelset$u1'(X2,X0,X1)
     => 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1))) ) ).

fof(redefinition_k4_relset_2,axiom,
    ! [X0,X1,X2,X3] :
      ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,'k1$uzfmisc$u1'(X1))))
     => 'k4$urelset$u2'(X0,X1,X2,X3) = 'k9$urelat$u1'(X2,X3) ) ).

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_k6_relset_2,axiom,
    ! [X0,X1,X2] :
      ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X0)))
     => 'k6$urelset$u2'(X0,X1,X2) = 'k5$urelset$u2'(X1,X2) ) ).

fof(redefinition_k8_relset_2,axiom,
    ! [X0,X1,X2,X3] :
      ( ( 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1)))
        & 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0)) )
     => 'k8$urelset$u2'(X0,X1,X2,X3) = 'k7$urelset$u2'(X0,X1,X2,X3) ) ).

fof(t153_relat_1,axiom,
    ! [X0,X1,X2] :
      ( 'v1$urelat$u1'(X2)
     => 'k9$urelat$u1'(X2,'k2$uxboole$u0'(X0,X1)) = 'k2$uxboole$u0'('k9$urelat$u1'(X2,X0),'k9$urelat$u1'(X2,X1)) ) ).

fof(t1_boole,axiom,
    ! [X0] : 'k2$uxboole$u0'(X0,'k1$uxboole$u0') = X0 ).

fof(t3_relset_2,axiom,
    ! [X0,X1] : 'k3$upua2mss1'('k2$uxboole$u0'(X0,X1)) = 'k2$uxboole$u0'('k3$upua2mss1'(X0),'k3$upua2mss1'(X1)) ).

fof(t26_relset_2,conjecture,
    ! [X0,X1,X2] :
      ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
     => ! [X3] :
          ( 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'(X0))
         => ! [X4] :
              ( 'm1$usubset$u1'(X4,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1)))
             => ( 'k4$urelset$u2'('k1$uzfmisc$u1'(X0),X1,'k6$urelset$u2'(X1,X0,X4),'k3$upua2mss1'(X2)) = 'k1$uxboole$u0'
               => 'k8$urelset$u2'(X0,X1,'k4$usubset$u1'(X0,X2,X3),X4) = 'k8$urelset$u2'(X0,X1,X3,X4) ) ) ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'(X0))
       => ! [X3] :
            ( 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'(X0))
           => ! [X4] :
                ( 'm1$usubset$u1'(X4,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X0,X1)))
               => ( 'k4$urelset$u2'('k1$uzfmisc$u1'(X0),X1,'k6$urelset$u2'(X1,X0,X4),'k3$upua2mss1'(X2)) = 'k1$uxboole$u0'
                 => 'k8$urelset$u2'(X0,X1,'k4$usubset$u1'(X0,X2,X3),X4) = 'k8$urelset$u2'(X0,X1,X3,X4) ) ) ) ),
    inference(negate_conjecture,[status(cth)],[t26_relset_2]) ).

cnf(c2,plain,
    ( 'v1$urelat$u1'(X0)
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2))) ),
    inference(clausification,[status(esa)],[cc1_relset_1]) ).

cnf(c3,plain,
    'k2$uxboole$u0'(X0,X1) = 'k2$uxboole$u0'(X1,X0),
    inference(clausification,[status(esa)],[commutativity_k2_xboole_0]) ).

cnf(c5,plain,
    ( 'k8$usetfam$u1'(X3,'k4$urelset$u2'('k1$uzfmisc$u1'(X1),X3,'k6$urelset$u2'(X3,X1,X2),'k3$upua2mss1'(X0))) = 'k7$urelset$u2'(X1,X3,X0,X2)
    | ~ 'm1$usubset$u1'(X2,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X3)))
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(X1)) ),
    inference(clausification,[status(esa)],[d4_relset_2]) ).

cnf(c8,plain,
    ( 'm1$usubset$u1'('k4$usubset$u1'(X1,X2,X0),'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(c12,plain,
    ( 'm2$urelset$u1'('k6$urelset$u2'(X2,X1,X0),'k1$uzfmisc$u1'(X1),'k1$uzfmisc$u1'(X2))
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2))) ),
    inference(clausification,[status(esa)],[dt_k6_relset_2]) ).

cnf(c17,plain,
    ( 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2)))
    | ~ 'm2$urelset$u1'(X0,X1,X2) ),
    inference(clausification,[status(esa)],[dt_m2_relset_1]) ).

cnf(c46,plain,
    ( 'k9$urelat$u1'(X0,X3) = 'k4$urelset$u2'(X1,X2,X0,X3)
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,'k1$uzfmisc$u1'(X2)))) ),
    inference(clausification,[status(esa)],[redefinition_k4_relset_2]) ).

cnf(c47,plain,
    ( 'k2$uxboole$u0'(X2,X0) = 'k4$usubset$u1'(X1,X2,X0)
    | ~ '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(c48,plain,
    ( 'k5$urelset$u2'(X1,X0) = 'k6$urelset$u2'(X2,X1,X0)
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2))) ),
    inference(clausification,[status(esa)],[redefinition_k6_relset_2]) ).

cnf(c49,plain,
    ( 'k7$urelset$u2'(X1,X2,X3,X0) = 'k8$urelset$u2'(X1,X2,X3,X0)
    | ~ 'm1$usubset$u1'(X3,'k1$uzfmisc$u1'(X1))
    | ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(X1,X2))) ),
    inference(clausification,[status(esa)],[redefinition_k8_relset_2]) ).

cnf(c53,plain,
    ( 'k2$uxboole$u0'('k9$urelat$u1'(X0,X1),'k9$urelat$u1'(X0,X2)) = 'k9$urelat$u1'(X0,'k2$uxboole$u0'(X1,X2))
    | ~ 'v1$urelat$u1'(X0) ),
    inference(clausification,[status(esa)],[t153_relat_1]) ).

cnf(c54,plain,
    'k2$uxboole$u0'(X0,'k1$uxboole$u0') = X0,
    inference(clausification,[status(esa)],[t1_boole]) ).

cnf(c57,plain,
    'k2$uxboole$u0'('k3$upua2mss1'(X0),'k3$upua2mss1'(X1)) = 'k3$upua2mss1'('k2$uxboole$u0'(X0,X1)),
    inference(clausification,[status(esa)],[t3_relset_2]) ).

cnf(c65,plain,
    'm1$usubset$u1'(sK115,'k1$uzfmisc$u1'(sK113)),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c66,plain,
    'm1$usubset$u1'(sK116,'k1$uzfmisc$u1'(sK113)),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c67,plain,
    'm1$usubset$u1'(sK117,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK113,sK114))),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c68,plain,
    'k8$urelset$u2'(sK113,sK114,sK116,sK117) != 'k8$urelset$u2'(sK113,sK114,'k4$usubset$u1'(sK113,sK115,sK116),sK117),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(c69,plain,
    'k4$urelset$u2'('k1$uzfmisc$u1'(sK113),sK114,'k6$urelset$u2'(sK114,sK113,sK117),'k3$upua2mss1'(sK115)) = 'k1$uxboole$u0',
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    'k5$urelset$u2'(sK113,sK117) = 'k6$urelset$u2'(sK114,sK113,sK117),
    inference(resolution,[status(thm)],[c48,c67]) ).

cnf(d1,plain,
    ( ~ 'm1$usubset$u1'(sK117,'k1$uzfmisc$u1'('k2$uzfmisc$u1'(sK113,sK114)))
    | 'm2$urelset$u1'('k5$urelset$u2'(sK113,sK117),'k1$uzfmisc$u1'(sK113),'k1$uzfmisc$u1'(sK114)) ),
    inference(superposition,[status(thm)],[d0,c12]) ).

cnf(d2,plain,
    'm2$urelset$u1'('k5$urelset$u2'(sK113,sK117),'k1$uzfmisc$u1'(sK113),'k1$uzfmisc$u1'(sK114)),
    inference(resolution,[status(thm)],[c67,d1]) ).

cnf(d3,plain,
    ( ~ 'm2$urelset$u1'(X0,X2,'k1$uzfmisc$u1'(X3))
    | 'k9$urelat$u1'(X0,X1) = 'k4$urelset$u2'(X2,X3,X0,X1) ),
    inference(resolution,[status(thm)],[c46,c17]) ).

cnf(d4,plain,
    'k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),X0) = 'k4$urelset$u2'('k1$uzfmisc$u1'(sK113),sK114,'k5$urelset$u2'(sK113,sK117),X0),
    inference(resolution,[status(thm)],[d3,d2]) ).

cnf(d5,plain,
    ( ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(sK113))
    | 'k8$usetfam$u1'(sK114,'k4$urelset$u2'('k1$uzfmisc$u1'(sK113),sK114,'k6$urelset$u2'(sK114,sK113,sK117),'k3$upua2mss1'(X0))) = 'k7$urelset$u2'(sK113,sK114,X0,sK117) ),
    inference(resolution,[status(thm)],[c5,c67]) ).

cnf(d6,plain,
    'k8$usetfam$u1'(sK114,'k4$urelset$u2'('k1$uzfmisc$u1'(sK113),sK114,'k6$urelset$u2'(sK114,sK113,sK117),'k3$upua2mss1'(sK116))) = 'k7$urelset$u2'(sK113,sK114,sK116,sK117),
    inference(resolution,[status(thm)],[d5,c66]) ).

cnf(d7,plain,
    'k8$usetfam$u1'(sK114,'k4$urelset$u2'('k1$uzfmisc$u1'(sK113),sK114,'k5$urelset$u2'(sK113,sK117),'k3$upua2mss1'(sK116))) = 'k7$urelset$u2'(sK113,sK114,sK116,sK117),
    inference(demodulation,[status(thm)],[d6,d0]) ).

cnf(d8,plain,
    'k8$usetfam$u1'(sK114,'k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),'k3$upua2mss1'(sK116))) = 'k7$urelset$u2'(sK113,sK114,sK116,sK117),
    inference(demodulation,[status(thm)],[d7,d4]) ).

cnf(d9,plain,
    X0 = 'k2$uxboole$u0'('k1$uxboole$u0',X0),
    inference(superposition,[status(thm)],[c54,c3]) ).

cnf(d10,plain,
    ( 'v1$urelat$u1'(X0)
    | ~ 'm2$urelset$u1'(X0,X1,X2) ),
    inference(resolution,[status(thm)],[c17,c2]) ).

cnf(d11,plain,
    'v1$urelat$u1'('k5$urelset$u2'(sK113,sK117)),
    inference(resolution,[status(thm)],[d10,d2]) ).

cnf(d12,plain,
    'k2$uxboole$u0'('k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),X0),'k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),X1)) = 'k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),'k2$uxboole$u0'(X0,X1)),
    inference(resolution,[status(thm)],[d11,c53]) ).

cnf(d13,plain,
    'k4$urelset$u2'('k1$uzfmisc$u1'(sK113),sK114,'k5$urelset$u2'(sK113,sK117),'k3$upua2mss1'(sK115)) = 'k1$uxboole$u0',
    inference(demodulation,[status(thm)],[c69,d0]) ).

cnf(d14,plain,
    'k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),'k3$upua2mss1'(sK115)) = 'k1$uxboole$u0',
    inference(demodulation,[status(thm)],[d13,d4]) ).

cnf(d15,plain,
    'k2$uxboole$u0'('k1$uxboole$u0','k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),X0)) = 'k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),'k2$uxboole$u0'('k3$upua2mss1'(sK115),X0)),
    inference(superposition,[status(thm)],[d14,d12]) ).

cnf(d16,plain,
    'k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),X0) = 'k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),'k2$uxboole$u0'('k3$upua2mss1'(sK115),X0)),
    inference(demodulation,[status(thm)],[d15,d9]) ).

cnf(d17,plain,
    'k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),'k3$upua2mss1'(X0)) = 'k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),'k3$upua2mss1'('k2$uxboole$u0'(sK115,X0))),
    inference(superposition,[status(thm)],[c57,d16]) ).

cnf(d18,plain,
    ( ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(sK113))
    | 'k2$uxboole$u0'(sK115,X0) = 'k4$usubset$u1'(sK113,sK115,X0) ),
    inference(resolution,[status(thm)],[c47,c65]) ).

cnf(d19,plain,
    'k2$uxboole$u0'(sK115,sK116) = 'k4$usubset$u1'(sK113,sK115,sK116),
    inference(resolution,[status(thm)],[d18,c66]) ).

cnf(d20,plain,
    ( ~ 'm1$usubset$u1'(sK116,'k1$uzfmisc$u1'(sK113))
    | ~ 'm1$usubset$u1'(sK115,'k1$uzfmisc$u1'(sK113))
    | 'm1$usubset$u1'('k2$uxboole$u0'(sK115,sK116),'k1$uzfmisc$u1'(sK113)) ),
    inference(superposition,[status(thm)],[d19,c8]) ).

cnf(d21,plain,
    ( ~ 'm1$usubset$u1'(sK116,'k1$uzfmisc$u1'(sK113))
    | 'm1$usubset$u1'('k2$uxboole$u0'(sK115,sK116),'k1$uzfmisc$u1'(sK113)) ),
    inference(resolution,[status(thm)],[c65,d20]) ).

cnf(d22,plain,
    'm1$usubset$u1'('k2$uxboole$u0'(sK115,sK116),'k1$uzfmisc$u1'(sK113)),
    inference(resolution,[status(thm)],[c66,d21]) ).

cnf(d23,plain,
    ( ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(sK113))
    | 'k8$usetfam$u1'(sK114,'k4$urelset$u2'('k1$uzfmisc$u1'(sK113),sK114,'k5$urelset$u2'(sK113,sK117),'k3$upua2mss1'(X0))) = 'k7$urelset$u2'(sK113,sK114,X0,sK117) ),
    inference(demodulation,[status(thm)],[d5,d0]) ).

cnf(d24,plain,
    ( ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(sK113))
    | 'k8$usetfam$u1'(sK114,'k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),'k3$upua2mss1'(X0))) = 'k7$urelset$u2'(sK113,sK114,X0,sK117) ),
    inference(demodulation,[status(thm)],[d23,d4]) ).

cnf(d25,plain,
    'k8$usetfam$u1'(sK114,'k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),'k3$upua2mss1'('k2$uxboole$u0'(sK115,sK116)))) = 'k7$urelset$u2'(sK113,sK114,'k2$uxboole$u0'(sK115,sK116),sK117),
    inference(resolution,[status(thm)],[d24,d22]) ).

cnf(d26,plain,
    'k8$usetfam$u1'(sK114,'k9$urelat$u1'('k5$urelset$u2'(sK113,sK117),'k3$upua2mss1'(sK116))) = 'k7$urelset$u2'(sK113,sK114,'k2$uxboole$u0'(sK115,sK116),sK117),
    inference(demodulation,[status(thm)],[d25,d17]) ).

cnf(d27,plain,
    'k7$urelset$u2'(sK113,sK114,sK116,sK117) = 'k7$urelset$u2'(sK113,sK114,'k2$uxboole$u0'(sK115,sK116),sK117),
    inference(demodulation,[status(thm)],[d26,d8]) ).

cnf(d28,plain,
    ( ~ 'm1$usubset$u1'(X0,'k1$uzfmisc$u1'(sK113))
    | 'k7$urelset$u2'(sK113,sK114,X0,sK117) = 'k8$urelset$u2'(sK113,sK114,X0,sK117) ),
    inference(resolution,[status(thm)],[c49,c67]) ).

cnf(d29,plain,
    'k7$urelset$u2'(sK113,sK114,'k2$uxboole$u0'(sK115,sK116),sK117) = 'k8$urelset$u2'(sK113,sK114,'k2$uxboole$u0'(sK115,sK116),sK117),
    inference(resolution,[status(thm)],[d28,d22]) ).

cnf(d30,plain,
    'k7$urelset$u2'(sK113,sK114,sK116,sK117) = 'k8$urelset$u2'(sK113,sK114,sK116,sK117),
    inference(resolution,[status(thm)],[d28,c66]) ).

cnf(d31,plain,
    'k8$urelset$u2'(sK113,sK114,sK116,sK117) != 'k8$urelset$u2'(sK113,sK114,'k2$uxboole$u0'(sK115,sK116),sK117),
    inference(demodulation,[status(thm)],[c68,d19]) ).

cnf(d32,plain,
    'k7$urelset$u2'(sK113,sK114,sK116,sK117) != 'k8$urelset$u2'(sK113,sK114,'k2$uxboole$u0'(sK115,sK116),sK117),
    inference(demodulation,[status(thm)],[d31,d30]) ).

cnf(d33,plain,
    'k7$urelset$u2'(sK113,sK114,sK116,sK117) != 'k7$urelset$u2'(sK113,sK114,'k2$uxboole$u0'(sK115,sK116),sK117),
    inference(demodulation,[status(thm)],[d32,d29]) ).

cnf(d34,plain,
    $false,
    inference(resolution,[status(thm)],[d33,d27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU427+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
% 0.10/0.35  % Computer : n015.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Sat Sep 26 09:46:28 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.10/0.35  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.14/12.99  % SZS status Theorem for theBenchmark.p
% 13.14/12.99  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------