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LisaST---0.9.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : NUN058+2 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n006.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 08:18:52 AM UTC 2026

% Result   : Theorem 93.99s 14.07s
% Output   : CNFRefutation 93.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  110 (  77 unt;   0 def)
%            Number of atoms       :  262 (  64 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  290 ( 138   ~; 105   |;  47   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;   1 con; 0-2 aty)
%            Number of variables   :  318 (  42 sgn  15   !;  47   ?)

% 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_4,axiom,
    ! [X0,X1] :
    ? [X2] :
    ! [X3] :
      ( ( X3 = X2
        & r4(X0,X1,X3) )
      | ( X3 != X2
        & ~ r4(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_2a,axiom,
    ! [X0,X1] :
    ? [X2] :
      ( ? [X5] :
          ( r4(X0,X1,X5)
          & r3(X5,X0,X2) )
      & ? [X3] :
          ( X3 = X2
          & ? [X4] :
              ( r4(X0,X4,X3)
              & r2(X1,X4) ) ) ) ).

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

fof(axiom_5a,axiom,
    ! [X0] :
    ? [X1] :
      ( ? [X3] :
          ( X1 = X3
          & r1(X3) )
      & ? [X2] :
          ( r4(X0,X2,X1)
          & r1(X2) ) ) ).

fof(evengreq4,conjecture,
    ? [X0] :
      ( ? [X8,X9] :
          ( ? [X10] :
              ( ? [X11] :
                  ( ? [X12] :
                      ( ? [X13] :
                          ( ? [X14] :
                              ( r2(X14,X13)
                              & r1(X14) )
                          & r2(X13,X12) )
                      & r2(X12,X11) )
                  & r2(X11,X10) )
              & r3(X8,X10,X9) )
          & X9 = X0 )
      & ? [X1,X2] :
          ( ? [X7] :
              ( X7 = X0
              & r3(X1,X2,X7) )
          & ? [X3] :
              ( X3 = X0
              & ? [X4] :
                  ( ? [X5] :
                      ( ? [X6] :
                          ( r2(X6,X5)
                          & r1(X6) )
                      & r2(X5,X4) )
                  & r4(X4,X1,X3) ) ) ) ) ).

fof(negated_conjecture,negated_conjecture,
    ~ ? [X0] :
        ( ? [X8,X9] :
            ( ? [X10] :
                ( ? [X11] :
                    ( ? [X12] :
                        ( ? [X13] :
                            ( ? [X14] :
                                ( r2(X14,X13)
                                & r1(X14) )
                            & r2(X13,X12) )
                        & r2(X12,X11) )
                    & r2(X11,X10) )
                & r3(X8,X10,X9) )
            & X9 = X0 )
        & ? [X1,X2] :
            ( ? [X7] :
                ( X7 = X0
                & r3(X1,X2,X7) )
            & ? [X3] :
                ( X3 = X0
                & ? [X4] :
                    ( ? [X5] :
                        ( ? [X6] :
                            ( r2(X6,X5)
                            & r1(X6) )
                        & r2(X5,X4) )
                    & r4(X4,X1,X3) ) ) ) ),
    inference(negate_conjecture,[status(cth)],[evengreq4]) ).

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(c13,plain,
    ( sK11(X0,X1) = X2
    | ~ r4(X0,X1,X2) ),
    inference(clausification,[status(esa)],[axiom_4]) ).

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(c21,plain,
    r2(X0,sK23(X1,X0)),
    inference(clausification,[status(esa)],[axiom_2a]) ).

cnf(c22,plain,
    r4(X0,sK23(X0,X1),sK22(X0,X1)),
    inference(clausification,[status(esa)],[axiom_2a]) ).

cnf(c23,plain,
    sK21(X0,X1) = sK22(X0,X1),
    inference(clausification,[status(esa)],[axiom_2a]) ).

cnf(c24,plain,
    r3(sK24(X0,X1),X0,sK21(X0,X1)),
    inference(clausification,[status(esa)],[axiom_2a]) ).

cnf(c25,plain,
    r4(X0,X1,sK24(X0,X1)),
    inference(clausification,[status(esa)],[axiom_2a]) ).

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(c30,plain,
    r1(sK34(X0)),
    inference(clausification,[status(esa)],[axiom_5a]) ).

cnf(c31,plain,
    r4(X0,sK34(X0),sK33(X0)),
    inference(clausification,[status(esa)],[axiom_5a]) ).

cnf(c32,plain,
    r1(sK35(X0)),
    inference(clausification,[status(esa)],[axiom_5a]) ).

cnf(c33,plain,
    sK35(X0) = sK33(X0),
    inference(clausification,[status(esa)],[axiom_5a]) ).

cnf(c39,plain,
    ( X9 != X14
    | X9 != X4
    | ~ r4(X12,X2,X14)
    | ~ r2(X10,X11)
    | ~ r2(X13,X5)
    | ~ r2(X1,X13)
    | ~ r2(X11,X12)
    | ~ r1(X10)
    | X9 != X8
    | ~ r3(X7,X6,X8)
    | ~ r1(X0)
    | ~ r2(X5,X6)
    | ~ r3(X2,X3,X4)
    | ~ r2(X0,X1) ),
    inference(clausification,[status(esa)],[negated_conjecture]) ).

cnf(d0,plain,
    sK7(X0,X1) = sK18(X0,X1),
    inference(resolution,[status(thm)],[c20,c9]) ).

cnf(d1,plain,
    r2(X0,sK3(X0)),
    inference(equality_resolution,[status(thm)],[c6]) ).

cnf(d2,plain,
    r2(sK18(X0,X1),sK16(X0,X1)),
    inference(demodulation,[status(thm)],[c19,c18]) ).

cnf(d3,plain,
    sK3(sK18(X0,X1)) = sK16(X0,X1),
    inference(resolution,[status(thm)],[d2,c5]) ).

cnf(d4,plain,
    r2(sK18(X0,X1),sK16(X0,X1)),
    inference(superposition,[status(thm)],[d3,d1]) ).

cnf(d5,plain,
    r2(sK7(X0,X1),sK16(X0,X1)),
    inference(demodulation,[status(thm)],[d4,d0]) ).

cnf(d6,plain,
    sK0 = sK31(X0),
    inference(resolution,[status(thm)],[c1,c27]) ).

cnf(d7,plain,
    r3(X0,sK0,sK30(X0)),
    inference(demodulation,[status(thm)],[c28,d6]) ).

cnf(d8,plain,
    r3(X0,sK0,X0),
    inference(demodulation,[status(thm)],[d7,c29]) ).

cnf(d9,plain,
    sK7(X0,sK0) = X0,
    inference(resolution,[status(thm)],[d8,c9]) ).

cnf(d10,plain,
    r2(X0,sK16(X0,sK0)),
    inference(superposition,[status(thm)],[d9,d5]) ).

cnf(d11,plain,
    sK3(X0) = sK16(X0,sK0),
    inference(resolution,[status(thm)],[d10,c5]) ).

cnf(d12,plain,
    sK3(sK7(X0,X1)) = sK16(X0,X1),
    inference(demodulation,[status(thm)],[d3,d0]) ).

cnf(d13,plain,
    sK3(X0) = sK17(X1,X0),
    inference(resolution,[status(thm)],[c16,c5]) ).

cnf(d14,plain,
    sK7(X0,sK17(X0,X1)) = sK16(X0,X1),
    inference(resolution,[status(thm)],[c17,c9]) ).

cnf(d15,plain,
    sK7(X0,sK3(X1)) = sK16(X0,X1),
    inference(demodulation,[status(thm)],[d14,d13]) ).

cnf(d16,plain,
    sK3(sK16(X0,X1)) = sK16(X0,sK3(X1)),
    inference(superposition,[status(thm)],[d15,d12]) ).

cnf(d17,plain,
    sK3(X0) = sK23(X1,X0),
    inference(resolution,[status(thm)],[c21,c5]) ).

cnf(d18,plain,
    sK11(X0,sK23(X0,X1)) = sK22(X0,X1),
    inference(resolution,[status(thm)],[c22,c13]) ).

cnf(d19,plain,
    sK11(X0,sK3(X1)) = sK22(X0,X1),
    inference(demodulation,[status(thm)],[d18,d17]) ).

cnf(d20,plain,
    sK11(X0,X1) = sK24(X0,X1),
    inference(resolution,[status(thm)],[c25,c13]) ).

cnf(d21,plain,
    r3(sK24(X0,X1),X0,sK22(X0,X1)),
    inference(demodulation,[status(thm)],[c24,c23]) ).

cnf(d22,plain,
    sK7(sK24(X0,X1),X0) = sK22(X0,X1),
    inference(resolution,[status(thm)],[d21,c9]) ).

cnf(d23,plain,
    sK7(sK11(X0,X1),X0) = sK22(X0,X1),
    inference(demodulation,[status(thm)],[d22,d20]) ).

cnf(d24,plain,
    sK16(sK11(sK3(X0),X1),X0) = sK22(sK3(X0),X1),
    inference(superposition,[status(thm)],[d15,d23]) ).

cnf(d25,plain,
    sK3(sK16(sK11(sK3(sK3(X0)),X1),X0)) = sK22(sK3(sK3(X0)),X1),
    inference(superposition,[status(thm)],[d16,d24]) ).

cnf(d26,plain,
    r3(X0,sK3(X1),sK16(X0,X1)),
    inference(demodulation,[status(thm)],[c17,d13]) ).

cnf(d27,plain,
    r3(X0,sK3(sK0),sK3(X0)),
    inference(superposition,[status(thm)],[d11,d26]) ).

cnf(d28,plain,
    sK7(X0,sK3(sK0)) = sK3(X0),
    inference(resolution,[status(thm)],[d27,c9]) ).

cnf(d29,plain,
    sK16(X0,sK0) = sK3(X0),
    inference(demodulation,[status(thm)],[d28,d15]) ).

cnf(d30,plain,
    sK3(sK3(sK11(sK3(sK3(sK0)),X0))) = sK22(sK3(sK3(sK0)),X0),
    inference(superposition,[status(thm)],[d29,d25]) ).

cnf(d31,plain,
    r3(sK11(X0,X1),X0,sK22(X0,X1)),
    inference(demodulation,[status(thm)],[d21,d20]) ).

cnf(d32,plain,
    sK11(X2,sK16(X0,X1)) = sK22(X2,sK7(X0,X1)),
    inference(superposition,[status(thm)],[d12,d19]) ).

cnf(d33,plain,
    r3(sK11(X0,sK7(X1,X2)),X0,sK11(X0,sK16(X1,X2))),
    inference(superposition,[status(thm)],[d32,d31]) ).

cnf(d34,plain,
    sK7(sK11(X0,sK7(X1,X2)),X0) = sK11(X0,sK16(X1,X2)),
    inference(resolution,[status(thm)],[d33,c9]) ).

cnf(d35,plain,
    sK22(X0,sK7(X1,X2)) = sK11(X0,sK16(X1,X2)),
    inference(demodulation,[status(thm)],[d34,d23]) ).

cnf(d36,plain,
    r1(sK0),
    inference(equality_resolution,[status(thm)],[c2]) ).

cnf(d37,plain,
    ( ~ r4(X6,X12,X1)
    | ~ r3(X12,X13,X2)
    | ~ r3(X11,X8,X0)
    | ~ r2(X4,X10)
    | ~ r2(X10,X9)
    | ~ r2(X9,X7)
    | ~ r2(X7,X8)
    | ~ r2(X5,X6)
    | ~ r2(X3,X5)
    | ~ r1(X4)
    | ~ r1(X3)
    | X0 != X2
    | X0 != X1 ),
    inference(equality_resolution,[status(thm)],[c39]) ).

cnf(d38,plain,
    ( ~ r4(X9,X10,X1)
    | ~ r3(X12,X7,X0)
    | ~ r3(X10,X11,X0)
    | ~ r2(X3,X8)
    | ~ r2(X2,X4)
    | ~ r2(X8,X9)
    | ~ r2(X6,X7)
    | ~ r2(X5,X6)
    | ~ r2(X4,X5)
    | ~ r1(X3)
    | ~ r1(X2)
    | X0 != X1 ),
    inference(equality_resolution,[status(thm)],[d37]) ).

cnf(d39,plain,
    ( ~ r4(X3,X10,X9)
    | ~ r3(X10,X11,X9)
    | ~ r3(X8,X5,X9)
    | ~ r2(X1,X7)
    | ~ r2(X0,X2)
    | ~ r2(X7,X6)
    | ~ r2(X6,X4)
    | ~ r2(X4,X5)
    | ~ r2(X2,X3)
    | ~ r1(X1)
    | ~ r1(X0) ),
    inference(equality_resolution,[status(thm)],[d38]) ).

cnf(d40,plain,
    ( ~ r4(X6,X7,X9)
    | ~ r3(X10,X4,X9)
    | ~ r3(X7,X8,X9)
    | ~ r2(X0,X5)
    | ~ r2(sK0,X1)
    | ~ r2(X5,X6)
    | ~ r2(X3,X4)
    | ~ r2(X2,X3)
    | ~ r2(X1,X2)
    | ~ r1(X0) ),
    inference(resolution,[status(thm)],[d39,d36]) ).

cnf(d41,plain,
    ( ~ r4(X1,X8,X7)
    | ~ r3(X8,X9,X7)
    | ~ r3(X6,X3,X7)
    | ~ r2(sK0,X5)
    | ~ r2(sK0,X0)
    | ~ r2(X5,X4)
    | ~ r2(X4,X2)
    | ~ r2(X2,X3)
    | ~ r2(X0,X1) ),
    inference(resolution,[status(thm)],[d40,d36]) ).

cnf(d42,plain,
    ( ~ r4(X4,X5,X7)
    | ~ r3(X8,X2,X7)
    | ~ r3(X5,X6,X7)
    | ~ r2(sK0,X3)
    | ~ r2(sK0,X0)
    | ~ r2(X3,X4)
    | ~ r2(X1,X2)
    | ~ r2(sK3(X0),X1) ),
    inference(resolution,[status(thm)],[d41,d1]) ).

cnf(d43,plain,
    ( ~ r4(sK3(X2),X6,X5)
    | ~ r3(X6,X7,X5)
    | ~ r3(X4,X1,X5)
    | ~ r2(sK3(X3),X0)
    | ~ r2(sK0,X3)
    | ~ r2(sK0,X2)
    | ~ r2(X0,X1) ),
    inference(resolution,[status(thm)],[d42,d1]) ).

cnf(d44,plain,
    ( ~ r4(sK3(X1),X3,X5)
    | ~ r3(X6,sK3(X2),X5)
    | ~ r3(X3,X4,X5)
    | ~ r2(sK3(X0),X2)
    | ~ r2(sK0,X1)
    | ~ r2(sK0,X0) ),
    inference(resolution,[status(thm)],[d43,d1]) ).

cnf(d45,plain,
    ( ~ r4(sK3(sK3(sK0)),X4,X3)
    | ~ r3(X4,X5,X3)
    | ~ r3(X2,sK3(X1),X3)
    | ~ r2(sK3(X0),X1)
    | ~ r2(sK0,X0) ),
    inference(resolution,[status(thm)],[d44,d1]) ).

cnf(d46,plain,
    ( ~ r4(sK3(sK3(sK0)),X1,X3)
    | ~ r3(X4,sK3(X0),X3)
    | ~ r3(X1,X2,X3)
    | ~ r2(sK3(sK3(sK0)),X0) ),
    inference(resolution,[status(thm)],[d45,d1]) ).

cnf(d47,plain,
    ( ~ r4(sK3(sK3(sK0)),X2,X1)
    | ~ r3(X2,X3,X1)
    | ~ r3(X0,sK3(sK3(sK3(sK3(sK0)))),X1) ),
    inference(resolution,[status(thm)],[d46,d1]) ).

cnf(d48,plain,
    ( ~ r4(sK3(sK3(sK0)),X1,sK16(X1,X2))
    | ~ r3(X0,sK3(sK3(sK3(sK3(sK0)))),sK16(X1,X2)) ),
    inference(resolution,[status(thm)],[d47,d26]) ).

cnf(d49,plain,
    ( ~ r4(sK3(sK3(sK0)),X0,sK16(X0,sK3(X1)))
    | ~ r3(X2,sK3(sK3(sK3(sK3(sK0)))),sK3(sK16(X0,X1))) ),
    inference(superposition,[status(thm)],[d16,d48]) ).

cnf(d50,plain,
    ( ~ r4(sK3(sK3(sK0)),X0,sK3(sK16(X0,X1)))
    | ~ r3(X2,sK3(sK3(sK3(sK3(sK0)))),sK3(sK16(X0,X1))) ),
    inference(demodulation,[status(thm)],[d49,d16]) ).

cnf(d51,plain,
    ( ~ r4(sK3(sK3(sK0)),X0,sK3(sK16(X0,sK0)))
    | ~ r3(X1,sK3(sK3(sK3(sK3(sK0)))),sK3(sK3(X0))) ),
    inference(superposition,[status(thm)],[d29,d50]) ).

cnf(d52,plain,
    ( ~ r4(sK3(sK3(sK0)),X0,sK3(sK3(X0)))
    | ~ r3(X1,sK3(sK3(sK3(sK3(sK0)))),sK3(sK3(X0))) ),
    inference(demodulation,[status(thm)],[d51,d11]) ).

cnf(d53,plain,
    r3(X0,sK3(sK3(X1)),sK3(sK16(X0,X1))),
    inference(superposition,[status(thm)],[d16,d26]) ).

cnf(d54,plain,
    sK3(sK22(X0,X1)) = sK16(sK11(X0,X1),X0),
    inference(superposition,[status(thm)],[d23,d12]) ).

cnf(d55,plain,
    r3(sK11(X0,X1),sK3(sK3(X0)),sK3(sK3(sK22(X0,X1)))),
    inference(superposition,[status(thm)],[d54,d53]) ).

cnf(d56,plain,
    ~ r4(sK3(sK3(sK0)),sK22(sK3(sK3(sK0)),X0),sK3(sK3(sK22(sK3(sK3(sK0)),X0)))),
    inference(resolution,[status(thm)],[d55,d52]) ).

cnf(d57,plain,
    ~ r4(sK3(sK3(sK0)),sK11(sK3(sK3(sK0)),sK16(X0,X1)),sK3(sK3(sK22(sK3(sK3(sK0)),sK7(X0,X1))))),
    inference(superposition,[status(thm)],[d35,d56]) ).

cnf(d58,plain,
    ~ r4(sK3(sK3(sK0)),sK11(sK3(sK3(sK0)),sK16(X0,X1)),sK3(sK3(sK11(sK3(sK3(sK0)),sK16(X0,X1))))),
    inference(demodulation,[status(thm)],[d57,d35]) ).

cnf(d59,plain,
    ~ r4(sK3(sK3(sK0)),sK11(sK3(sK3(sK0)),sK16(X0,X1)),sK22(sK3(sK3(sK0)),sK16(X0,X1))),
    inference(demodulation,[status(thm)],[d58,d30]) ).

cnf(d60,plain,
    ~ r4(sK3(sK3(sK0)),sK11(sK3(sK3(sK0)),sK3(X0)),sK22(sK3(sK3(sK0)),sK16(X0,sK0))),
    inference(superposition,[status(thm)],[d29,d59]) ).

cnf(d61,plain,
    ~ r4(sK3(sK3(sK0)),sK22(sK3(sK3(sK0)),X0),sK22(sK3(sK3(sK0)),sK16(X0,sK0))),
    inference(demodulation,[status(thm)],[d60,d19]) ).

cnf(d62,plain,
    ~ r4(sK3(sK3(sK0)),sK22(sK3(sK3(sK0)),X0),sK22(sK3(sK3(sK0)),sK3(X0))),
    inference(demodulation,[status(thm)],[d61,d11]) ).

cnf(d63,plain,
    sK0 = sK35(X0),
    inference(resolution,[status(thm)],[c32,c1]) ).

cnf(d64,plain,
    sK0 = sK33(X0),
    inference(demodulation,[status(thm)],[c33,d63]) ).

cnf(d65,plain,
    sK0 = sK34(X0),
    inference(resolution,[status(thm)],[c30,c1]) ).

cnf(d66,plain,
    r4(X0,sK0,sK33(X0)),
    inference(demodulation,[status(thm)],[c31,d65]) ).

cnf(d67,plain,
    r4(X0,sK0,sK0),
    inference(demodulation,[status(thm)],[d66,d64]) ).

cnf(d68,plain,
    sK11(X0,sK0) = sK0,
    inference(resolution,[status(thm)],[d67,c13]) ).

cnf(d69,plain,
    sK7(sK0,X0) = sK22(X0,sK0),
    inference(superposition,[status(thm)],[d68,d23]) ).

cnf(d70,plain,
    ~ r4(sK3(sK3(sK0)),sK7(sK0,sK3(sK3(sK0))),sK22(sK3(sK3(sK0)),sK3(sK0))),
    inference(superposition,[status(thm)],[d69,d62]) ).

cnf(d71,plain,
    ~ r4(sK3(sK3(sK0)),sK16(sK0,sK3(sK0)),sK22(sK3(sK3(sK0)),sK3(sK0))),
    inference(demodulation,[status(thm)],[d70,d15]) ).

cnf(d72,plain,
    ~ r4(sK3(sK3(sK0)),sK3(sK16(sK0,sK0)),sK22(sK3(sK3(sK0)),sK3(sK0))),
    inference(demodulation,[status(thm)],[d71,d16]) ).

cnf(d73,plain,
    ~ r4(sK3(sK3(sK0)),sK3(sK3(sK0)),sK22(sK3(sK3(sK0)),sK3(sK0))),
    inference(demodulation,[status(thm)],[d72,d11]) ).

cnf(d74,plain,
    r4(X0,sK3(X1),sK22(X0,X1)),
    inference(demodulation,[status(thm)],[c22,d17]) ).

cnf(d75,plain,
    $false,
    inference(resolution,[status(thm)],[d74,d73]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : NUN058+2 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.58  % Computer : n006.cluster.edu
% 0.09/0.58  % Model    : x86_64 x86_64
% 0.09/0.58  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.58  % Memory   : 8046.5625MB
% 0.09/0.58  % OS       : Linux 6.8.0-71-generic
% 0.09/0.58  % CPULimit : 300
% 0.09/0.58  % WCLimit  : 300
% 0.09/0.58  % DateTime : Sat Sep 26 04:27:27 UTC 2026
% 0.09/0.58  % CPUTime  : 
% 0.09/0.58  Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 93.99/14.07  % SZS status Theorem for theBenchmark.p
% 93.99/14.07  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------