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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : NUN075+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n005.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 08:18:56 AM UTC 2026

% Result   : Theorem 53.28s 10.82s
% Output   : CNFRefutation 53.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   68 (  34 unt;   0 def)
%            Number of atoms       :  385 (  30 equ)
%            Maximal formula atoms :   23 (   5 avg)
%            Number of connectives :  605 ( 288   ~; 261   |;  56   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Maximal term depth    :   10 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   1 con; 0-2 aty)
%            Number of variables   :  372 (   4 sgn   9   !;  53   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_1,axiom,
    ? [X0] :
    ! [X1] :
      ( ( X1 = X0
        & r1(X1) )
      | ( X1 != X0
        & ~ r1(X1) ) ) ).

fof(axiom_2,axiom,
    ! [X0] :
    ? [X1] :
    ! [X2] :
      ( ( X2 = X1
        & r2(X0,X2) )
      | ( X2 != X1
        & ~ r2(X0,X2) ) ) ).

fof(axiom_3,axiom,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( X3 = X2
        & r3(X0,X1,X3) )
      | ( X3 != X2
        & ~ r3(X0,X1,X3) ) ) ).

fof(axiom_1a,axiom,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X5] :
          ( r3(X0,X1,X5)
          & r2(X5,X2) )
      & ? [X3] :
          ( X3 = X2
          & ? [X4] :
              ( r3(X0,X4,X3)
              & r2(X1,X4) ) ) ) ).

fof(axiom_4a,axiom,
    ! [X0] :
    ? [X1] :
      ( X1 = X0
      & ? [X2] :
          ( r3(X0,X2,X1)
          & r1(X2) ) ) ).

fof(sevenplustwoeqnine,conjecture,
    ? [X0] :
      ( ? [X11] :
          ( ? [X15] :
              ( ? [X16] :
                  ( ? [X17] :
                      ( ? [X18] :
                          ( ? [X19] :
                              ( ? [X20] :
                                  ( ? [X21] :
                                      ( r2(X21,X20)
                                      & r1(X21) )
                                  & r2(X20,X19) )
                              & r2(X19,X18) )
                          & r2(X18,X17) )
                      & r2(X17,X16) )
                  & r2(X16,X15) )
              & r2(X15,X11) )
          & ? [X12] :
              ( ? [X13] :
                  ( ? [X14] :
                      ( r2(X14,X13)
                      & r1(X14) )
                  & r2(X13,X12) )
              & r3(X11,X12,X0) ) )
      & ? [X1] :
          ( ? [X2] :
              ( ? [X3] :
                  ( ? [X4] :
                      ( ? [X5] :
                          ( ? [X6] :
                              ( ? [X7] :
                                  ( ? [X8] :
                                      ( ? [X9] :
                                          ( ? [X10] :
                                              ( r2(X10,X9)
                                              & r1(X10) )
                                          & r2(X9,X8) )
                                      & r2(X8,X7) )
                                  & r2(X7,X6) )
                              & r2(X6,X5) )
                          & r2(X5,X4) )
                      & r2(X4,X3) )
                  & r2(X3,X2) )
              & r2(X2,X1) )
          & X0 = X1 ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ? [X0] :
        ( ? [X11] :
            ( ? [X15] :
                ( ? [X16] :
                    ( ? [X17] :
                        ( ? [X18] :
                            ( ? [X19] :
                                ( ? [X20] :
                                    ( ? [X21] :
                                        ( r2(X21,X20)
                                        & r1(X21) )
                                    & r2(X20,X19) )
                                & r2(X19,X18) )
                            & r2(X18,X17) )
                        & r2(X17,X16) )
                    & r2(X16,X15) )
                & r2(X15,X11) )
            & ? [X12] :
                ( ? [X13] :
                    ( ? [X14] :
                        ( r2(X14,X13)
                        & r1(X14) )
                    & r2(X13,X12) )
                & r3(X11,X12,X0) ) )
        & ? [X1] :
            ( ? [X2] :
                ( ? [X3] :
                    ( ? [X4] :
                        ( ? [X5] :
                            ( ? [X6] :
                                ( ? [X7] :
                                    ( ? [X8] :
                                        ( ? [X9] :
                                            ( ? [X10] :
                                                ( r2(X10,X9)
                                                & r1(X10) )
                                            & r2(X9,X8) )
                                        & r2(X8,X7) )
                                    & r2(X7,X6) )
                                & r2(X6,X5) )
                            & r2(X5,X4) )
                        & r2(X4,X3) )
                    & r2(X3,X2) )
                & r2(X2,X1) )
            & X0 = X1 ) ),
    inference(negate_conjecture,[status(cth)],[sevenplustwoeqnine]) ).

cnf(c1,plain,
    ( sK0 = X0
    | ~ r1(X0) ),
    inference(clausification,[status(esa)],[axiom_1]) ).

cnf(c2,plain,
    ( r1(X0)
    | sK0 != X0 ),
    inference(clausification,[status(esa)],[axiom_1]) ).

cnf(c5,plain,
    ( sK3(X0) = X1
    | ~ r2(X0,X1) ),
    inference(clausification,[status(esa)],[axiom_2]) ).

cnf(c6,plain,
    ( r2(X0,X1)
    | sK3(X0) != X1 ),
    inference(clausification,[status(esa)],[axiom_2]) ).

cnf(c9,plain,
    ( sK7(X0,X1) = X2
    | ~ r3(X0,X1,X2) ),
    inference(clausification,[status(esa)],[axiom_3]) ).

cnf(c16,plain,
    r2(X0,sK17(X1,X0)),
    inference(clausification,[status(esa)],[axiom_1a]) ).

cnf(c17,plain,
    r3(X0,sK17(X0,X1),sK16(X0,X1)),
    inference(clausification,[status(esa)],[axiom_1a]) ).

cnf(c18,plain,
    sK15(X0,X1) = sK16(X0,X1),
    inference(clausification,[status(esa)],[axiom_1a]) ).

cnf(c19,plain,
    r2(sK18(X0,X1),sK15(X0,X1)),
    inference(clausification,[status(esa)],[axiom_1a]) ).

cnf(c20,plain,
    r3(X0,X1,sK18(X0,X1)),
    inference(clausification,[status(esa)],[axiom_1a]) ).

cnf(c27,plain,
    r1(sK31(X0)),
    inference(clausification,[status(esa)],[axiom_4a]) ).

cnf(c28,plain,
    r3(X0,sK31(X0),sK30(X0)),
    inference(clausification,[status(esa)],[axiom_4a]) ).

cnf(c29,plain,
    X0 = sK30(X0),
    inference(clausification,[status(esa)],[axiom_4a]) ).

cnf(c39,plain,
    ( ~ r2(X11,X14)
    | ~ r1(X0)
    | ~ r2(X19,X21)
    | ~ r3(X10,X20,X18)
    | ~ r2(X15,X9)
    | ~ r2(X17,X2)
    | ~ r2(X21,X12)
    | ~ r2(X13,X7)
    | ~ r2(X5,X20)
    | ~ r2(X8,X16)
    | ~ r1(X19)
    | ~ r1(X4)
    | X3 != X18
    | ~ r2(X16,X17)
    | ~ r2(X14,X15)
    | ~ r2(X12,X13)
    | ~ r2(X6,X11)
    | ~ r2(X9,X10)
    | ~ r2(X7,X8)
    | ~ r2(X1,X6)
    | ~ r2(X4,X5)
    | ~ r2(X2,X3)
    | ~ r2(X0,X1) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    r2(X0,sK3(X0)),
    inference(equality_resolution,[status(thm)],[c6]) ).

cnf(d1,plain,
    r1(sK0),
    inference(equality_resolution,[status(thm)],[c2]) ).

cnf(d2,plain,
    ( ~ r3(X19,X14,X9)
    | ~ r2(X18,X20)
    | ~ r2(X20,X13)
    | ~ r2(X11,X19)
    | ~ r2(X4,X18)
    | ~ r2(X2,X17)
    | ~ r2(X17,X3)
    | ~ r2(X6,X16)
    | ~ r2(X16,X15)
    | ~ r2(X15,X10)
    | ~ r2(X7,X14)
    | ~ r2(X13,X12)
    | ~ r2(X12,X8)
    | ~ r2(X10,X11)
    | ~ r2(X8,X9)
    | ~ r2(X1,X5)
    | ~ r2(X0,X7)
    | ~ r2(X5,X6)
    | ~ r2(X3,X4)
    | ~ r1(X2)
    | ~ r1(X1)
    | ~ r1(X0) ),
    inference(equality_resolution,[status(thm)],[c39]) ).

cnf(d3,plain,
    ( ~ r3(X13,X16,X14)
    | ~ r2(X1,X15)
    | ~ r2(X0,X18)
    | ~ r2(sK0,X5)
    | ~ r2(X6,X19)
    | ~ r2(X19,X4)
    | ~ r2(X18,X17)
    | ~ r2(X17,X7)
    | ~ r2(X15,X16)
    | ~ r2(X11,X14)
    | ~ r2(X9,X12)
    | ~ r2(X12,X13)
    | ~ r2(X10,X11)
    | ~ r2(X3,X10)
    | ~ r2(X8,X9)
    | ~ r2(X7,X8)
    | ~ r2(X5,X6)
    | ~ r2(X4,X2)
    | ~ r2(X2,X3)
    | ~ r1(X1)
    | ~ r1(X0) ),
    inference(resolution,[status(thm)],[d2,d1]) ).

cnf(d4,plain,
    ( ~ r3(X9,X7,X11)
    | ~ r2(sK0,X16)
    | ~ r2(X0,X3)
    | ~ r2(sK0,X6)
    | ~ r2(X17,X18)
    | ~ r2(X18,X12)
    | ~ r2(X2,X17)
    | ~ r2(X16,X15)
    | ~ r2(X15,X1)
    | ~ r2(X5,X14)
    | ~ r2(X14,X13)
    | ~ r2(X13,X8)
    | ~ r2(X12,X10)
    | ~ r2(X10,X11)
    | ~ r2(X8,X9)
    | ~ r2(X6,X7)
    | ~ r2(X4,X5)
    | ~ r2(X3,X4)
    | ~ r2(X1,X2)
    | ~ r1(X0) ),
    inference(resolution,[status(thm)],[d3,d1]) ).

cnf(d5,plain,
    ( ~ r3(X11,X13,X10)
    | ~ r2(sK0,X12)
    | ~ r2(sK0,X3)
    | ~ r2(sK0,X16)
    | ~ r2(X5,X17)
    | ~ r2(X17,X2)
    | ~ r2(X16,X15)
    | ~ r2(X15,X14)
    | ~ r2(X14,X6)
    | ~ r2(X12,X13)
    | ~ r2(X8,X11)
    | ~ r2(X9,X10)
    | ~ r2(X1,X9)
    | ~ r2(X7,X8)
    | ~ r2(X6,X7)
    | ~ r2(X4,X5)
    | ~ r2(X3,X4)
    | ~ r2(X2,X0)
    | ~ r2(X0,X1) ),
    inference(resolution,[status(thm)],[d4,d1]) ).

cnf(d6,plain,
    ( ~ r3(X9,X5,X7)
    | ~ r2(sK0,X14)
    | ~ r2(sK0,X4)
    | ~ r2(sK0,X0)
    | ~ r2(X15,X16)
    | ~ r2(X16,X6)
    | ~ r2(sK3(X12),X15)
    | ~ r2(X14,X13)
    | ~ r2(X13,X11)
    | ~ r2(X11,X12)
    | ~ r2(X3,X10)
    | ~ r2(X10,X8)
    | ~ r2(X8,X9)
    | ~ r2(X6,X7)
    | ~ r2(X4,X5)
    | ~ r2(X2,X3)
    | ~ r2(X1,X2)
    | ~ r2(X0,X1) ),
    inference(resolution,[status(thm)],[d5,d0]) ).

cnf(d7,plain,
    ( ~ r3(X8,X11,X9)
    | ~ r2(sK3(X5),X0)
    | ~ r2(sK0,X15)
    | ~ r2(sK0,X10)
    | ~ r2(sK0,X2)
    | ~ r2(X15,X14)
    | ~ r2(X14,X13)
    | ~ r2(X13,X12)
    | ~ r2(X12,X6)
    | ~ r2(X10,X11)
    | ~ r2(sK3(X1),X9)
    | ~ r2(X7,X8)
    | ~ r2(X6,X7)
    | ~ r2(X4,X5)
    | ~ r2(X3,X4)
    | ~ r2(X2,X3)
    | ~ r2(X0,X1) ),
    inference(resolution,[status(thm)],[d6,d0]) ).

cnf(d8,plain,
    ( ~ r3(X7,X5,X14)
    | ~ r2(sK3(X13),X14)
    | ~ r2(sK3(X9),X12)
    | ~ r2(sK0,X11)
    | ~ r2(sK0,X4)
    | ~ r2(sK0,X0)
    | ~ r2(X12,X13)
    | ~ r2(X11,X10)
    | ~ r2(X10,X8)
    | ~ r2(X8,X9)
    | ~ r2(X3,X6)
    | ~ r2(X6,X7)
    | ~ r2(X4,X5)
    | ~ r2(X2,X3)
    | ~ r2(X1,X2)
    | ~ r2(sK3(X0),X1) ),
    inference(resolution,[status(thm)],[d7,d0]) ).

cnf(d9,plain,
    ( ~ r3(X5,X7,X13)
    | ~ r2(sK3(X11),X10)
    | ~ r2(sK3(X3),X12)
    | ~ r2(sK3(sK3(X12)),X13)
    | ~ r2(sK0,X11)
    | ~ r2(sK0,X6)
    | ~ r2(sK0,X0)
    | ~ r2(X10,X9)
    | ~ r2(X9,X8)
    | ~ r2(X8,X4)
    | ~ r2(X6,X7)
    | ~ r2(X4,X5)
    | ~ r2(X2,X3)
    | ~ r2(X1,X2)
    | ~ r2(X0,X1) ),
    inference(resolution,[status(thm)],[d8,d0]) ).

cnf(d10,plain,
    ( ~ r3(X5,X4,X12)
    | ~ r2(sK3(sK3(X11)),X12)
    | ~ r2(sK3(X7),X11)
    | ~ r2(sK3(X10),X0)
    | ~ r2(sK0,X9)
    | ~ r2(sK0,X3)
    | ~ r2(sK0,X10)
    | ~ r2(X9,X8)
    | ~ r2(X8,X6)
    | ~ r2(X6,X7)
    | ~ r2(X2,X5)
    | ~ r2(X3,X4)
    | ~ r2(X1,X2)
    | ~ r2(sK3(X0),X1) ),
    inference(resolution,[status(thm)],[d9,d0]) ).

cnf(d11,plain,
    ( ~ r3(X6,X4,X11)
    | ~ r2(sK3(sK3(X10)),X11)
    | ~ r2(sK3(X9),X7)
    | ~ r2(sK3(X2),X10)
    | ~ r2(sK3(X8),X9)
    | ~ r2(sK0,X3)
    | ~ r2(sK0,X0)
    | ~ r2(sK0,X8)
    | ~ r2(X7,X5)
    | ~ r2(X5,X6)
    | ~ r2(X3,X4)
    | ~ r2(X1,X2)
    | ~ r2(sK3(X0),X1) ),
    inference(resolution,[status(thm)],[d10,d0]) ).

cnf(d12,plain,
    ( ~ r3(X1,X3,X10)
    | ~ r2(sK3(sK3(X9)),X10)
    | ~ r2(sK3(X7),X4)
    | ~ r2(sK3(X5),X9)
    | ~ r2(sK3(X6),X8)
    | ~ r2(sK3(X8),X0)
    | ~ r2(sK0,X7)
    | ~ r2(sK0,X2)
    | ~ r2(sK0,X6)
    | ~ r2(X4,X5)
    | ~ r2(X2,X3)
    | ~ r2(sK3(X0),X1) ),
    inference(resolution,[status(thm)],[d11,d0]) ).

cnf(d13,plain,
    ( ~ r3(X8,X1,X9)
    | ~ r2(sK3(sK3(X7)),X9)
    | ~ r2(sK3(X5),X8)
    | ~ r2(sK3(sK3(X6)),X7)
    | ~ r2(sK3(X3),X4)
    | ~ r2(sK3(X2),X6)
    | ~ r2(sK3(X4),X5)
    | ~ r2(sK0,X0)
    | ~ r2(sK0,X3)
    | ~ r2(sK0,X2)
    | ~ r2(X0,X1) ),
    inference(resolution,[status(thm)],[d12,d0]) ).

cnf(d14,plain,
    ( ~ r3(X4,sK3(X2),X8)
    | ~ r2(sK3(sK3(X6)),X7)
    | ~ r2(sK3(sK3(X7)),X8)
    | ~ r2(sK3(X1),X6)
    | ~ r2(sK3(X0),X5)
    | ~ r2(sK3(X5),X3)
    | ~ r2(sK3(X3),X4)
    | ~ r2(sK0,X2)
    | ~ r2(sK0,X1)
    | ~ r2(sK0,X0) ),
    inference(resolution,[status(thm)],[d13,d0]) ).

cnf(d15,plain,
    ( ~ r3(X4,sK3(sK3(sK0)),X7)
    | ~ r2(sK3(sK3(X5)),X6)
    | ~ r2(sK3(sK3(X6)),X7)
    | ~ r2(sK3(X1),X2)
    | ~ r2(sK3(X0),X5)
    | ~ r2(sK3(X3),X4)
    | ~ r2(sK3(X2),X3)
    | ~ r2(sK0,X1)
    | ~ r2(sK0,X0) ),
    inference(resolution,[status(thm)],[d14,d0]) ).

cnf(d16,plain,
    ( ~ r3(X2,sK3(sK3(sK0)),X6)
    | ~ r2(sK3(sK3(X4)),X5)
    | ~ r2(sK3(sK3(X5)),X6)
    | ~ r2(sK3(X0),X4)
    | ~ r2(sK3(sK3(sK0)),X3)
    | ~ r2(sK3(X3),X1)
    | ~ r2(sK3(X1),X2)
    | ~ r2(sK0,X0) ),
    inference(resolution,[status(thm)],[d15,d0]) ).

cnf(d17,plain,
    ( ~ r3(X2,sK3(sK3(sK0)),X5)
    | ~ r2(sK3(sK3(sK0)),X0)
    | ~ r2(sK3(sK3(X3)),X4)
    | ~ r2(sK3(sK3(X4)),X5)
    | ~ r2(sK3(sK3(sK0)),X3)
    | ~ r2(sK3(X1),X2)
    | ~ r2(sK3(X0),X1) ),
    inference(resolution,[status(thm)],[d16,d0]) ).

cnf(d18,plain,
    ( ~ r3(sK3(sK3(X1)),sK3(sK3(sK0)),X3)
    | ~ r2(sK3(sK3(sK0)),X0)
    | ~ r2(sK3(sK3(sK0)),X4)
    | ~ r2(sK3(sK3(X4)),X2)
    | ~ r2(sK3(sK3(X2)),X3)
    | ~ r2(sK3(X0),X1) ),
    inference(resolution,[status(thm)],[d17,d0]) ).

cnf(d19,plain,
    ( ~ r3(sK3(sK3(sK3(sK3(X3)))),sK3(sK3(sK0)),X2)
    | ~ r2(sK3(sK3(sK0)),X3)
    | ~ r2(sK3(sK3(sK0)),X0)
    | ~ r2(sK3(sK3(X1)),X2)
    | ~ r2(sK3(sK3(X0)),X1) ),
    inference(resolution,[status(thm)],[d18,d0]) ).

cnf(d20,plain,
    ( ~ r3(sK3(sK3(sK3(sK3(X2)))),sK3(sK3(sK0)),sK3(sK3(sK3(X1))))
    | ~ r2(sK3(sK3(sK0)),X0)
    | ~ r2(sK3(sK3(sK0)),X2)
    | ~ r2(sK3(sK3(X0)),X1) ),
    inference(resolution,[status(thm)],[d19,d0]) ).

cnf(d21,plain,
    ( ~ r3(sK3(sK3(sK3(sK3(X0)))),sK3(sK3(sK0)),sK3(sK3(sK3(sK3(sK3(sK3(X1)))))))
    | ~ r2(sK3(sK3(sK0)),X1)
    | ~ r2(sK3(sK3(sK0)),X0) ),
    inference(resolution,[status(thm)],[d20,d0]) ).

cnf(d22,plain,
    ( ~ r3(sK3(sK3(sK3(sK3(X0)))),sK3(sK3(sK0)),sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK0))))))))))
    | ~ r2(sK3(sK3(sK0)),X0) ),
    inference(resolution,[status(thm)],[d21,d0]) ).

cnf(d23,plain,
    ~ r3(sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK0))))))),sK3(sK3(sK0)),sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK3(sK0)))))))))),
    inference(resolution,[status(thm)],[d22,d0]) ).

cnf(d24,plain,
    sK3(X0) = sK17(X1,X0),
    inference(resolution,[status(thm)],[c16,c5]) ).

cnf(d25,plain,
    r3(X0,sK3(X1),sK16(X0,X1)),
    inference(demodulation,[status(thm)],[c17,d24]) ).

cnf(d26,plain,
    sK7(X0,X1) = sK18(X0,X1),
    inference(resolution,[status(thm)],[c20,c9]) ).

cnf(d27,plain,
    r2(sK18(X0,X1),sK16(X0,X1)),
    inference(demodulation,[status(thm)],[c19,c18]) ).

cnf(d28,plain,
    sK3(sK18(X0,X1)) = sK16(X0,X1),
    inference(resolution,[status(thm)],[d27,c5]) ).

cnf(d29,plain,
    sK3(sK7(X0,X1)) = sK16(X0,X1),
    inference(demodulation,[status(thm)],[d28,d26]) ).

cnf(d30,plain,
    sK7(X0,sK17(X0,X1)) = sK16(X0,X1),
    inference(resolution,[status(thm)],[c17,c9]) ).

cnf(d31,plain,
    sK7(X0,sK3(X1)) = sK16(X0,X1),
    inference(demodulation,[status(thm)],[d30,d24]) ).

cnf(d32,plain,
    sK3(sK16(X0,X1)) = sK16(X0,sK3(X1)),
    inference(superposition,[status(thm)],[d31,d29]) ).

cnf(d33,plain,
    r3(X0,sK3(sK3(X1)),sK3(sK16(X0,X1))),
    inference(superposition,[status(thm)],[d32,d25]) ).

cnf(d34,plain,
    r2(sK18(X0,X1),sK16(X0,X1)),
    inference(superposition,[status(thm)],[d28,d0]) ).

cnf(d35,plain,
    r2(sK7(X0,X1),sK16(X0,X1)),
    inference(demodulation,[status(thm)],[d34,d26]) ).

cnf(d36,plain,
    sK0 = sK31(X0),
    inference(resolution,[status(thm)],[c1,c27]) ).

cnf(d37,plain,
    r3(X0,sK0,sK30(X0)),
    inference(demodulation,[status(thm)],[c28,d36]) ).

cnf(d38,plain,
    r3(X0,sK0,X0),
    inference(demodulation,[status(thm)],[d37,c29]) ).

cnf(d39,plain,
    sK7(X0,sK0) = X0,
    inference(resolution,[status(thm)],[d38,c9]) ).

cnf(d40,plain,
    r2(X0,sK16(X0,sK0)),
    inference(superposition,[status(thm)],[d39,d35]) ).

cnf(d41,plain,
    sK3(X0) = sK16(X0,sK0),
    inference(resolution,[status(thm)],[d40,c5]) ).

cnf(d42,plain,
    r3(X0,sK3(sK0),sK3(X0)),
    inference(superposition,[status(thm)],[d41,d25]) ).

cnf(d43,plain,
    sK7(X0,sK3(sK0)) = sK3(X0),
    inference(resolution,[status(thm)],[d42,c9]) ).

cnf(d44,plain,
    sK16(X0,sK0) = sK3(X0),
    inference(demodulation,[status(thm)],[d43,d31]) ).

cnf(d45,plain,
    r3(X0,sK3(sK3(sK0)),sK3(sK3(X0))),
    inference(superposition,[status(thm)],[d44,d33]) ).

cnf(d46,plain,
    $false,
    inference(resolution,[status(thm)],[d45,d23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUN075+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37  % Computer : n005.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sat Sep 26 04:30:17 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 53.28/10.82  % SZS status Theorem for theBenchmark.p
% 53.28/10.82  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------