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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : LCL672+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /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 07:59:27 AM UTC 2026

% Result   : Theorem 2.41s 0.72s
% Output   : CNFRefutation 2.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   38 (  14 unt;   0 def)
%            Number of atoms       :  406 (   0 equ)
%            Maximal formula atoms :   90 (  10 avg)
%            Number of connectives :  665 ( 297   ~; 297   |;  71   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :  215 (   0 sgn 147   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(reflexivity,axiom,
    ! [X] : r1(X,X),
    file('theBenchmark.p',reflexivity) ).

fof(main,conjecture,
    ~ ? [X] :
        ~ ( ! [Y] :
              ( p1(Y)
              | ~ r1(X,Y) )
          | ! [Y] :
              ( ! [X] :
                  ( p1(X)
                  | ~ r1(Y,X) )
              | ! [X] :
                  ( ~ ! [Y] :
                        ( p1(Y)
                        | ~ r1(X,Y) )
                  | ~ r1(Y,X) )
              | ~ r1(X,Y) )
          | ! [Y] :
              ( p2(Y)
              | ~ r1(X,Y) )
          | ( ~ ! [Y] :
                  ( p1(Y)
                  | ~ r1(X,Y) )
            & ~ ! [Y] :
                  ( ~ ! [X] : ~ r1(Y,X)
                  | ~ r1(X,Y) )
            & ~ ! [Y] :
                  ( p2(Y)
                  | ~ r1(X,Y) ) )
          | ( ~ ! [Y] :
                  ( p1(Y)
                  | ~ r1(X,Y) )
            & ~ ! [Y] :
                  ( ~ ( ~ ! [X] :
                            ( ~ ! [Y] :
                                  ( p1(Y)
                                  | ~ r1(X,Y) )
                            | ~ r1(Y,X) )
                      & ~ ! [X] :
                            ( ~ ! [Y] :
                                  ( ~ ! [X] :
                                        ( p1(X)
                                        | ~ r1(Y,X) )
                                  | ~ r1(X,Y) )
                            | ~ r1(Y,X) ) )
                  | ~ r1(X,Y) )
            & ~ ! [Y] :
                  ( p2(Y)
                  | ~ r1(X,Y) ) )
          | ( ~ ! [Y] :
                  ( p1(Y)
                  | ~ r1(X,Y) )
            & ~ ! [Y] :
                  ( ! [X] :
                      ( ~ ( ~ ! [Y] :
                                ( p1(Y)
                                | ~ r1(X,Y) )
                          & ~ ! [Y] :
                                ( ~ ! [X] :
                                      ( p1(X)
                                      | ~ r1(Y,X) )
                                | ~ r1(X,Y) ) )
                      | ~ r1(Y,X) )
                  | ~ r1(X,Y) )
            & ~ ! [Y] :
                  ( p2(Y)
                  | ~ r1(X,Y) ) )
          | ( ~ ! [Y] :
                  ( p1(Y)
                  | ~ r1(X,Y) )
            & ~ ! [Y] :
                  ( ~ ( p1(Y)
                      & ~ ! [X] :
                            ( ~ ! [Y] :
                                  ( ~ p1(Y)
                                  | ~ r1(X,Y) )
                            | ~ r1(Y,X) ) )
                  | ~ r1(X,Y) )
            & ~ ! [Y] :
                  ( p2(Y)
                  | ~ r1(X,Y) ) ) ),
    file('theBenchmark.p',main) ).

fof(main_neg,negated_conjecture,
    ~ ~ ? [X] :
          ~ ( ! [Y] :
                ( p1(Y)
                | ~ r1(X,Y) )
            | ! [Y] :
                ( ! [X] :
                    ( p1(X)
                    | ~ r1(Y,X) )
                | ! [X] :
                    ( ~ ! [Y] :
                          ( p1(Y)
                          | ~ r1(X,Y) )
                    | ~ r1(Y,X) )
                | ~ r1(X,Y) )
            | ! [Y] :
                ( p2(Y)
                | ~ r1(X,Y) )
            | ( ~ ! [Y] :
                    ( p1(Y)
                    | ~ r1(X,Y) )
              & ~ ! [Y] :
                    ( ~ ! [X] : ~ r1(Y,X)
                    | ~ r1(X,Y) )
              & ~ ! [Y] :
                    ( p2(Y)
                    | ~ r1(X,Y) ) )
            | ( ~ ! [Y] :
                    ( p1(Y)
                    | ~ r1(X,Y) )
              & ~ ! [Y] :
                    ( ~ ( ~ ! [X] :
                              ( ~ ! [Y] :
                                    ( p1(Y)
                                    | ~ r1(X,Y) )
                              | ~ r1(Y,X) )
                        & ~ ! [X] :
                              ( ~ ! [Y] :
                                    ( ~ ! [X] :
                                          ( p1(X)
                                          | ~ r1(Y,X) )
                                    | ~ r1(X,Y) )
                              | ~ r1(Y,X) ) )
                    | ~ r1(X,Y) )
              & ~ ! [Y] :
                    ( p2(Y)
                    | ~ r1(X,Y) ) )
            | ( ~ ! [Y] :
                    ( p1(Y)
                    | ~ r1(X,Y) )
              & ~ ! [Y] :
                    ( ! [X] :
                        ( ~ ( ~ ! [Y] :
                                  ( p1(Y)
                                  | ~ r1(X,Y) )
                            & ~ ! [Y] :
                                  ( ~ ! [X] :
                                        ( p1(X)
                                        | ~ r1(Y,X) )
                                  | ~ r1(X,Y) ) )
                        | ~ r1(Y,X) )
                    | ~ r1(X,Y) )
              & ~ ! [Y] :
                    ( p2(Y)
                    | ~ r1(X,Y) ) )
            | ( ~ ! [Y] :
                    ( p1(Y)
                    | ~ r1(X,Y) )
              & ~ ! [Y] :
                    ( ~ ( p1(Y)
                        & ~ ! [X] :
                              ( ~ ! [Y] :
                                    ( ~ p1(Y)
                                    | ~ r1(X,Y) )
                              | ~ r1(Y,X) ) )
                    | ~ r1(X,Y) )
              & ~ ! [Y] :
                    ( p2(Y)
                    | ~ r1(X,Y) ) ) ),
    inference(assume_negation,[status(cth)],[main]) ).

fof(nnf_3,plain,
    ? [X] :
      ( ? [Y] :
          ( ~ p1(Y)
          & r1(X,Y) )
      & ? [X25] :
          ( ? [X28] :
              ( ~ p1(X28)
              & r1(X25,X28) )
          & ? [X26] :
              ( ! [X27] :
                  ( p1(X27)
                  | ~ r1(X26,X27) )
              & r1(X25,X26) )
          & r1(X,X25) )
      & ? [X24] :
          ( ~ p2(X24)
          & r1(X,X24) )
      & ( ! [X23] :
            ( p1(X23)
            | ~ r1(X,X23) )
        | ! [X21] :
            ( ? [X22] : r1(X21,X22)
            | ~ r1(X,X21) )
        | ! [X20] :
            ( p2(X20)
            | ~ r1(X,X20) ) )
      & ( ! [X19] :
            ( p1(X19)
            | ~ r1(X,X19) )
        | ! [X13] :
            ( ! [X17] :
                ( ? [X18] :
                    ( ~ p1(X18)
                    & r1(X17,X18) )
                | ~ r1(X13,X17) )
            | ! [X14] :
                ( ? [X15] :
                    ( ! [X16] :
                        ( p1(X16)
                        | ~ r1(X15,X16) )
                    & r1(X14,X15) )
                | ~ r1(X13,X14) )
            | ~ r1(X,X13) )
        | ! [X12] :
            ( p2(X12)
            | ~ r1(X,X12) ) )
      & ( ! [X11] :
            ( p1(X11)
            | ~ r1(X,X11) )
        | ! [X6] :
            ( ! [X7] :
                ( ! [X10] :
                    ( p1(X10)
                    | ~ r1(X7,X10) )
                | ! [X8] :
                    ( ? [X9] :
                        ( ~ p1(X9)
                        & r1(X8,X9) )
                    | ~ r1(X7,X8) )
                | ~ r1(X6,X7) )
            | ~ r1(X,X6) )
        | ! [X5] :
            ( p2(X5)
            | ~ r1(X,X5) ) )
      & ( ! [X4] :
            ( p1(X4)
            | ~ r1(X,X4) )
        | ! [X1] :
            ( ~ p1(X1)
            | ! [X2] :
                ( ? [X3] :
                    ( p1(X3)
                    & r1(X2,X3) )
                | ~ r1(X1,X2) )
            | ~ r1(X,X1) )
        | ! [X0] :
            ( p2(X0)
            | ~ r1(X,X0) ) ) ),
    inference(fof_nnf,[status(thm)],[main_neg]) ).

fof(sk_main_neg_sk,plain,
    ( ~ p1(sK3)
    & r1(sK1,sK3)
    & ~ p1(sK4)
    & r1(sK5,sK4)
    & ! [X27] :
        ( p1(X27)
        | ~ r1(sK6,X27) )
    & r1(sK5,sK6)
    & r1(sK1,sK5)
    & ~ p2(sK0)
    & r1(sK1,sK0)
    & ( ! [X23] :
          ( p1(X23)
          | ~ r1(sK1,X23) )
      | ! [X21] :
          ( r1(X21,sK10(X21))
          | ~ r1(sK1,X21) )
      | ! [X20] :
          ( p2(X20)
          | ~ r1(sK1,X20) ) )
    & ( ! [X19] :
          ( p1(X19)
          | ~ r1(sK1,X19) )
      | ! [X13] :
          ( ! [X17] :
              ( ( ~ p1(sK9(X13,X17))
                & r1(X17,sK9(X13,X17)) )
              | ~ r1(X13,X17) )
          | ! [X14] :
              ( ( ! [X16] :
                    ( p1(X16)
                    | ~ r1(sK8(X13,X14),X16) )
                & r1(X14,sK8(X13,X14)) )
              | ~ r1(X13,X14) )
          | ~ r1(sK1,X13) )
      | ! [X12] :
          ( p2(X12)
          | ~ r1(sK1,X12) ) )
    & ( ! [X11] :
          ( p1(X11)
          | ~ r1(sK1,X11) )
      | ! [X6] :
          ( ! [X7] :
              ( ! [X10] :
                  ( p1(X10)
                  | ~ r1(X7,X10) )
              | ! [X8] :
                  ( ( ~ p1(sK2(X6,X7,X8))
                    & r1(X8,sK2(X6,X7,X8)) )
                  | ~ r1(X7,X8) )
              | ~ r1(X6,X7) )
          | ~ r1(sK1,X6) )
      | ! [X5] :
          ( p2(X5)
          | ~ r1(sK1,X5) ) )
    & ( ! [X4] :
          ( p1(X4)
          | ~ r1(sK1,X4) )
      | ! [X1] :
          ( ~ p1(X1)
          | ! [X2] :
              ( ( p1(sK7(X1,X2))
                & r1(X2,sK7(X1,X2)) )
              | ~ r1(X1,X2) )
          | ~ r1(sK1,X1) )
      | ! [X0] :
          ( p2(X0)
          | ~ r1(sK1,X0) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK7,sK2,sK8,sK9,sK10,sK0,sK5,sK6,sK4,sK3]),skolemize(X,sK1),skolemize(X3,sK7(X1,X2)),skolemize(X9,sK2(X6,X7,X8)),skolemize(X15,sK8(X13,X14)),skolemize(X18,sK9(X13,X17)),skolemize(X22,sK10(X21)),skolemize(X24,sK0),skolemize(X25,sK5),skolemize(X26,sK6),skolemize(X28,sK4),skolemize(Y,sK3)],[nnf_3]) ).

fof(sk_main_neg,plain,
    ( ~ p1(sK3)
    & r1(sK1,sK3)
    & ~ p1(sK4)
    & r1(sK5,sK4)
    & ! [VAR_0] :
        ( p1(VAR_0)
        | ~ r1(sK6,VAR_0) )
    & r1(sK5,sK6)
    & r1(sK1,sK5)
    & ~ p2(sK0)
    & r1(sK1,sK0)
    & ! [VAR_0,VAR_1,VAR_2] :
        ( p1(VAR_2)
        | ~ r1(sK1,VAR_2)
        | r1(VAR_1,sK10(VAR_1))
        | ~ r1(sK1,VAR_1)
        | p2(VAR_0)
        | ~ r1(sK1,VAR_0) )
    & ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
        ( p1(VAR_5)
        | ~ r1(sK1,VAR_5)
        | ~ p1(sK9(VAR_1,VAR_4))
        | ~ r1(VAR_1,VAR_4)
        | p1(VAR_3)
        | ~ r1(sK8(VAR_1,VAR_2),VAR_3)
        | ~ r1(VAR_1,VAR_2)
        | ~ r1(sK1,VAR_1)
        | p2(VAR_0)
        | ~ r1(sK1,VAR_0) )
    & ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
        ( p1(VAR_5)
        | ~ r1(sK1,VAR_5)
        | r1(VAR_4,sK9(VAR_1,VAR_4))
        | ~ r1(VAR_1,VAR_4)
        | p1(VAR_3)
        | ~ r1(sK8(VAR_1,VAR_2),VAR_3)
        | ~ r1(VAR_1,VAR_2)
        | ~ r1(sK1,VAR_1)
        | p2(VAR_0)
        | ~ r1(sK1,VAR_0) )
    & ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
        ( p1(VAR_4)
        | ~ r1(sK1,VAR_4)
        | ~ p1(sK9(VAR_1,VAR_3))
        | ~ r1(VAR_1,VAR_3)
        | r1(VAR_2,sK8(VAR_1,VAR_2))
        | ~ r1(VAR_1,VAR_2)
        | ~ r1(sK1,VAR_1)
        | p2(VAR_0)
        | ~ r1(sK1,VAR_0) )
    & ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
        ( p1(VAR_4)
        | ~ r1(sK1,VAR_4)
        | r1(VAR_3,sK9(VAR_1,VAR_3))
        | ~ r1(VAR_1,VAR_3)
        | r1(VAR_2,sK8(VAR_1,VAR_2))
        | ~ r1(VAR_1,VAR_2)
        | ~ r1(sK1,VAR_1)
        | p2(VAR_0)
        | ~ r1(sK1,VAR_0) )
    & ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
        ( p1(VAR_5)
        | ~ r1(sK1,VAR_5)
        | p1(VAR_4)
        | ~ r1(VAR_2,VAR_4)
        | ~ p1(sK2(VAR_1,VAR_2,VAR_3))
        | ~ r1(VAR_2,VAR_3)
        | ~ r1(VAR_1,VAR_2)
        | ~ r1(sK1,VAR_1)
        | p2(VAR_0)
        | ~ r1(sK1,VAR_0) )
    & ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
        ( p1(VAR_5)
        | ~ r1(sK1,VAR_5)
        | p1(VAR_4)
        | ~ r1(VAR_2,VAR_4)
        | r1(VAR_3,sK2(VAR_1,VAR_2,VAR_3))
        | ~ r1(VAR_2,VAR_3)
        | ~ r1(VAR_1,VAR_2)
        | ~ r1(sK1,VAR_1)
        | p2(VAR_0)
        | ~ r1(sK1,VAR_0) )
    & ! [VAR_0,VAR_1,VAR_2,VAR_3] :
        ( p1(VAR_3)
        | ~ r1(sK1,VAR_3)
        | ~ p1(VAR_1)
        | p1(sK7(VAR_1,VAR_2))
        | ~ r1(VAR_1,VAR_2)
        | ~ r1(sK1,VAR_1)
        | p2(VAR_0)
        | ~ r1(sK1,VAR_0) )
    & ! [VAR_0,VAR_1,VAR_2,VAR_3] :
        ( p1(VAR_3)
        | ~ r1(sK1,VAR_3)
        | ~ p1(VAR_1)
        | r1(VAR_2,sK7(VAR_1,VAR_2))
        | ~ r1(VAR_1,VAR_2)
        | ~ r1(sK1,VAR_1)
        | p2(VAR_0)
        | ~ r1(sK1,VAR_0) ) ),
    inference(cnf_transformation,[status(thm)],[sk_main_neg_sk]) ).

cnf(c_4,negated_conjecture,
    ~ p2(sK0),
    inference(split_conjunct,[status(thm)],[sk_main_neg]) ).

cnf(c_10,negated_conjecture,
    ( p1(F)
    | ~ r1(sK1,F)
    | p1(E)
    | ~ r1(C,E)
    | ~ p1(sK2(B,C,D))
    | ~ r1(C,D)
    | ~ r1(B,C)
    | ~ r1(sK1,B)
    | p2(A)
    | ~ r1(sK1,A) ),
    inference(split_conjunct,[status(thm)],[sk_main_neg]) ).

cnf(c_11,negated_conjecture,
    ( p1(F)
    | ~ r1(sK1,F)
    | p1(E)
    | ~ r1(C,E)
    | r1(D,sK2(B,C,D))
    | ~ r1(C,D)
    | ~ r1(B,C)
    | ~ r1(sK1,B)
    | p2(A)
    | ~ r1(sK1,A) ),
    inference(split_conjunct,[status(thm)],[sk_main_neg]) ).

cnf(c_16,negated_conjecture,
    ( p1(E)
    | ~ r1(sK1,E)
    | p1(D)
    | ~ r1(B,D)
    | r1(C,sK2(A,B,C))
    | ~ r1(B,C)
    | ~ r1(A,B)
    | ~ r1(sK1,A)
    | ~ r1(sK1,sK0) ),
    inference(resolve,[status(thm)],[c_4,c_11]) ).

cnf(c_17,negated_conjecture,
    ( p1(E)
    | ~ r1(sK1,E)
    | p1(D)
    | ~ r1(B,D)
    | ~ p1(sK2(A,B,C))
    | ~ r1(B,C)
    | ~ r1(A,B)
    | ~ r1(sK1,A)
    | ~ r1(sK1,sK0) ),
    inference(resolve,[status(thm)],[c_4,c_10]) ).

cnf(c_23,negated_conjecture,
    ~ p1(sK3),
    inference(split_conjunct,[status(thm)],[sk_main_neg]) ).

cnf(c_24,negated_conjecture,
    r1(sK1,sK3),
    inference(split_conjunct,[status(thm)],[sk_main_neg]) ).

cnf(c_25,negated_conjecture,
    ~ p1(sK4),
    inference(split_conjunct,[status(thm)],[sk_main_neg]) ).

cnf(c_26,negated_conjecture,
    r1(sK5,sK4),
    inference(split_conjunct,[status(thm)],[sk_main_neg]) ).

cnf(c_27,negated_conjecture,
    ( p1(A)
    | ~ r1(sK6,A) ),
    inference(split_conjunct,[status(thm)],[sk_main_neg]) ).

cnf(c_28,negated_conjecture,
    r1(sK5,sK6),
    inference(split_conjunct,[status(thm)],[sk_main_neg]) ).

cnf(c_29,negated_conjecture,
    r1(sK1,sK5),
    inference(split_conjunct,[status(thm)],[sk_main_neg]) ).

cnf(c_30,negated_conjecture,
    r1(sK1,sK0),
    inference(split_conjunct,[status(thm)],[sk_main_neg]) ).

cnf(c_32,plain,
    r1(A,A),
    inference(clausify,[status(thm)],[reflexivity]) ).

cnf(c_124,negated_conjecture,
    ( p1(E)
    | ~ r1(sK1,E)
    | p1(D)
    | ~ r1(B,D)
    | ~ p1(sK2(A,B,C))
    | ~ r1(B,C)
    | ~ r1(A,B)
    | ~ r1(sK1,A) ),
    inference(resolve,[status(thm)],[c_30,c_17]) ).

cnf(c_125,negated_conjecture,
    ( p1(E)
    | ~ r1(sK1,E)
    | p1(D)
    | ~ r1(B,D)
    | r1(C,sK2(A,B,C))
    | ~ r1(B,C)
    | ~ r1(A,B)
    | ~ r1(sK1,A) ),
    inference(resolve,[status(thm)],[c_30,c_16]) ).

cnf(c_1748,negated_conjecture,
    ( p1(D)
    | ~ r1(sK1,D)
    | p1(C)
    | ~ r1(A,C)
    | ~ p1(sK2(sK1,A,B))
    | ~ r1(A,B)
    | ~ r1(sK1,A) ),
    inference(resolve,[status(thm)],[c_124,c_32]) ).

cnf(c_1749,negated_conjecture,
    ( p1(C)
    | ~ r1(sK1,C)
    | p1(B)
    | ~ r1(sK5,B)
    | ~ p1(sK2(sK1,sK5,A))
    | ~ r1(sK5,A) ),
    inference(resolve,[status(thm)],[c_1748,c_29]) ).

cnf(c_1750,negated_conjecture,
    ( p1(B)
    | ~ r1(sK1,B)
    | p1(A)
    | ~ r1(sK5,A)
    | ~ p1(sK2(sK1,sK5,sK6)) ),
    inference(resolve,[status(thm)],[c_1749,c_28]) ).

cnf(c_1751,negated_conjecture,
    ( p1(A)
    | ~ r1(sK1,A)
    | p1(sK4)
    | ~ p1(sK2(sK1,sK5,sK6)) ),
    inference(resolve,[status(thm)],[c_1750,c_26]) ).

cnf(c_1752,negated_conjecture,
    ( p1(A)
    | ~ r1(sK1,A)
    | ~ p1(sK2(sK1,sK5,sK6)) ),
    inference(resolve,[status(thm)],[c_1751,c_25]) ).

cnf(c_1753,negated_conjecture,
    ( p1(sK3)
    | ~ p1(sK2(sK1,sK5,sK6)) ),
    inference(resolve,[status(thm)],[c_1752,c_24]) ).

cnf(c_1566,negated_conjecture,
    ~ p1(sK2(sK1,sK5,sK6)),
    inference(resolve,[status(thm)],[c_1753,c_23]) ).

cnf(c_1754,negated_conjecture,
    ( p1(D)
    | ~ r1(sK1,D)
    | p1(C)
    | ~ r1(A,C)
    | r1(B,sK2(sK1,A,B))
    | ~ r1(A,B)
    | ~ r1(sK1,A) ),
    inference(resolve,[status(thm)],[c_125,c_32]) ).

cnf(c_1755,negated_conjecture,
    ( p1(C)
    | ~ r1(sK1,C)
    | p1(B)
    | ~ r1(sK5,B)
    | r1(A,sK2(sK1,sK5,A))
    | ~ r1(sK5,A) ),
    inference(resolve,[status(thm)],[c_1754,c_29]) ).

cnf(c_1756,negated_conjecture,
    ( p1(B)
    | ~ r1(sK1,B)
    | p1(A)
    | ~ r1(sK5,A)
    | r1(sK6,sK2(sK1,sK5,sK6)) ),
    inference(resolve,[status(thm)],[c_1755,c_28]) ).

cnf(c_1757,negated_conjecture,
    ( p1(A)
    | ~ r1(sK1,A)
    | p1(sK4)
    | r1(sK6,sK2(sK1,sK5,sK6)) ),
    inference(resolve,[status(thm)],[c_1756,c_26]) ).

cnf(c_1758,negated_conjecture,
    ( p1(sK3)
    | p1(sK4)
    | r1(sK6,sK2(sK1,sK5,sK6)) ),
    inference(resolve,[status(thm)],[c_1757,c_24]) ).

cnf(c_1759,negated_conjecture,
    ( p1(sK3)
    | r1(sK6,sK2(sK1,sK5,sK6)) ),
    inference(resolve,[status(thm)],[c_25,c_1758]) ).

cnf(c_1581,negated_conjecture,
    r1(sK6,sK2(sK1,sK5,sK6)),
    inference(resolve,[status(thm)],[c_23,c_1759]) ).

cnf(c_1760,negated_conjecture,
    ~ r1(sK6,sK2(sK1,sK5,sK6)),
    inference(resolve,[status(thm)],[c_27,c_1566]) ).

cnf(c_1747,negated_conjecture,
    $false,
    inference(resolve,[status(thm)],[c_1581,c_1760]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL672+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37  % Computer : n015.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Fri Sep 25 23:15:42 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37  % Process 2516905 was started by sandbox on n015,
% 0.09/0.37  % Fri Sep 25 23:15:42 2026
% 0.09/0.37  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.38  
% 0.09/0.38  % From the command line: assign(max_seconds, 300).
% 2.41/0.72  
% 2.41/0.72  % Assigning unary symbol f5 kb_weight 0 and highest precedence (13).
% 2.41/0.72  
% 2.41/0.72  % SZS status Theorem for theBenchmark
% 2.41/0.72  
% 2.41/0.72  % Proof 1 at 0.25 (+ 0.07) seconds.
% 2.41/0.72  % Length of proof is 21.
% 2.41/0.72  % Level of proof is 5.
% 2.41/0.72  % Maximum clause weight is 38.000.
% 2.41/0.72  % Given clauses 156.
% 2.41/0.72  
% 2.41/0.72  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------