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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : LCL638+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n016.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 : Fri Sep 25 02:06:59 PM UTC 2026

% Result   : Theorem 1.99s 1.28s
% Output   : CNFRefutation 1.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   43 (   5 unt;   0 def)
%            Number of atoms       :  364 (   0 equ)
%            Maximal formula atoms :   31 (   8 avg)
%            Number of connectives :  679 ( 358   ~; 265   |;  56   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-1 aty)
%            Number of variables   :  204 (   0 sgn 183   !;  21   ?;  32   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ? [X0] :
        ~ ( ! [X1] :
              ( ~ ! [X0] :
                    ( p1(X0)
                    | ~ r1(X1,X0) )
              | p1(X1)
              | ~ r1(X0,X1) )
          | ~ ! [X1] :
                ( ~ ! [X0] :
                      ( $false
                      | ~ r1(X1,X0) )
                | ~ r1(X0,X1) )
          | ~ ! [X1] :
                ( ~ ( ! [X0] :
                        ( p1(X0)
                        | ~ r1(X1,X0) )
                    & ~ ! [X0] :
                          ( ! [X1] :
                              ( p1(X1)
                              | ~ r1(X0,X1) )
                          | ~ r1(X1,X0) ) )
                | ~ r1(X0,X1) )
          | ~ ! [X1] :
                ( ~ ( ! [X0] :
                        ( ~ ! [X1] :
                              ( ~ p1(X1)
                              | ~ r1(X0,X1) )
                        | ~ r1(X1,X0) )
                    & ~ ! [X0] :
                          ( ! [X1] :
                              ( ~ ! [X0] :
                                    ( ~ p1(X0)
                                    | ~ r1(X1,X0) )
                              | ~ r1(X0,X1) )
                          | ~ r1(X1,X0) ) )
                | ~ r1(X0,X1) )
          | ~ ! [X1] :
                ( ~ ( p1(X1)
                    & ~ ! [X0] :
                          ( ~ ! [X1] :
                                ( ~ p1(X1)
                                | ~ r1(X0,X1) )
                          | ~ r1(X1,X0) ) )
                | ~ r1(X0,X1) )
          | ~ ! [X1] :
                ( ~ ( ~ p1(X1)
                    & ~ ! [X0] :
                          ( ~ ! [X1] :
                                ( p1(X1)
                                | ~ r1(X0,X1) )
                          | ~ r1(X1,X0) ) )
                | ~ r1(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).

fof(f2,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ! [X1] :
                ( ~ ! [X0] :
                      ( p1(X0)
                      | ~ r1(X1,X0) )
                | p1(X1)
                | ~ r1(X0,X1) )
            | ~ ! [X1] :
                  ( ~ ! [X0] :
                        ( $false
                        | ~ r1(X1,X0) )
                  | ~ r1(X0,X1) )
            | ~ ! [X1] :
                  ( ~ ( ! [X0] :
                          ( p1(X0)
                          | ~ r1(X1,X0) )
                      & ~ ! [X0] :
                            ( ! [X1] :
                                ( p1(X1)
                                | ~ r1(X0,X1) )
                            | ~ r1(X1,X0) ) )
                  | ~ r1(X0,X1) )
            | ~ ! [X1] :
                  ( ~ ( ! [X0] :
                          ( ~ ! [X1] :
                                ( ~ p1(X1)
                                | ~ r1(X0,X1) )
                          | ~ r1(X1,X0) )
                      & ~ ! [X0] :
                            ( ! [X1] :
                                ( ~ ! [X0] :
                                      ( ~ p1(X0)
                                      | ~ r1(X1,X0) )
                                | ~ r1(X0,X1) )
                            | ~ r1(X1,X0) ) )
                  | ~ r1(X0,X1) )
            | ~ ! [X1] :
                  ( ~ ( p1(X1)
                      & ~ ! [X0] :
                            ( ~ ! [X1] :
                                  ( ~ p1(X1)
                                  | ~ r1(X0,X1) )
                            | ~ r1(X1,X0) ) )
                  | ~ r1(X0,X1) )
            | ~ ! [X1] :
                  ( ~ ( ~ p1(X1)
                      & ~ ! [X0] :
                            ( ~ ! [X1] :
                                  ( p1(X1)
                                  | ~ r1(X0,X1) )
                            | ~ r1(X1,X0) ) )
                  | ~ r1(X0,X1) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ~ ~ ? [X0] :
          ~ ( ! [X19] :
                ( ~ ! [X20] :
                      ( p1(X20)
                      | ~ r1(X19,X20) )
                | p1(X19)
                | ~ r1(X0,X19) )
            | ~ ! [X17] :
                  ( ~ ! [X18] :
                        ( $false
                        | ~ r1(X17,X18) )
                  | ~ r1(X0,X17) )
            | ~ ! [X13] :
                  ( ~ ( ! [X16] :
                          ( p1(X16)
                          | ~ r1(X13,X16) )
                      & ~ ! [X14] :
                            ( ! [X15] :
                                ( p1(X15)
                                | ~ r1(X14,X15) )
                            | ~ r1(X13,X14) ) )
                  | ~ r1(X0,X13) )
            | ~ ! [X7] :
                  ( ~ ( ! [X11] :
                          ( ~ ! [X12] :
                                ( ~ p1(X12)
                                | ~ r1(X11,X12) )
                          | ~ r1(X7,X11) )
                      & ~ ! [X8] :
                            ( ! [X9] :
                                ( ~ ! [X10] :
                                      ( ~ p1(X10)
                                      | ~ r1(X9,X10) )
                                | ~ r1(X8,X9) )
                            | ~ r1(X7,X8) ) )
                  | ~ r1(X0,X7) )
            | ~ ! [X4] :
                  ( ~ ( p1(X4)
                      & ~ ! [X5] :
                            ( ~ ! [X6] :
                                  ( ~ p1(X6)
                                  | ~ r1(X5,X6) )
                            | ~ r1(X4,X5) ) )
                  | ~ r1(X0,X4) )
            | ~ ! [X1] :
                  ( ~ ( ~ p1(X1)
                      & ~ ! [X2] :
                            ( ~ ! [X3] :
                                  ( p1(X3)
                                  | ~ r1(X2,X3) )
                            | ~ r1(X1,X2) ) )
                  | ~ r1(X0,X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ~ ~ ? [X0] :
          ~ ( ! [X19] :
                ( ~ ! [X20] :
                      ( p1(X20)
                      | ~ r1(X19,X20) )
                | p1(X19)
                | ~ r1(X0,X19) )
            | ~ ! [X17] :
                  ( ~ ! [X18] : ~ r1(X17,X18)
                  | ~ r1(X0,X17) )
            | ~ ! [X13] :
                  ( ~ ( ! [X16] :
                          ( p1(X16)
                          | ~ r1(X13,X16) )
                      & ~ ! [X14] :
                            ( ! [X15] :
                                ( p1(X15)
                                | ~ r1(X14,X15) )
                            | ~ r1(X13,X14) ) )
                  | ~ r1(X0,X13) )
            | ~ ! [X7] :
                  ( ~ ( ! [X11] :
                          ( ~ ! [X12] :
                                ( ~ p1(X12)
                                | ~ r1(X11,X12) )
                          | ~ r1(X7,X11) )
                      & ~ ! [X8] :
                            ( ! [X9] :
                                ( ~ ! [X10] :
                                      ( ~ p1(X10)
                                      | ~ r1(X9,X10) )
                                | ~ r1(X8,X9) )
                            | ~ r1(X7,X8) ) )
                  | ~ r1(X0,X7) )
            | ~ ! [X4] :
                  ( ~ ( p1(X4)
                      & ~ ! [X5] :
                            ( ~ ! [X6] :
                                  ( ~ p1(X6)
                                  | ~ r1(X5,X6) )
                            | ~ r1(X4,X5) ) )
                  | ~ r1(X0,X4) )
            | ~ ! [X1] :
                  ( ~ ( ~ p1(X1)
                      & ~ ! [X2] :
                            ( ~ ! [X3] :
                                  ( p1(X3)
                                  | ~ r1(X2,X3) )
                            | ~ r1(X1,X2) ) )
                  | ~ r1(X0,X1) ) ),
    inference(true_and_false_elimination,[],[f3]) ).

fof(f5,plain,
    ? [X0] :
      ~ ( ! [X19] :
            ( ~ ! [X20] :
                  ( p1(X20)
                  | ~ r1(X19,X20) )
            | p1(X19)
            | ~ r1(X0,X19) )
        | ~ ! [X17] :
              ( ~ ! [X18] : ~ r1(X17,X18)
              | ~ r1(X0,X17) )
        | ~ ! [X13] :
              ( ~ ( ! [X16] :
                      ( p1(X16)
                      | ~ r1(X13,X16) )
                  & ~ ! [X14] :
                        ( ! [X15] :
                            ( p1(X15)
                            | ~ r1(X14,X15) )
                        | ~ r1(X13,X14) ) )
              | ~ r1(X0,X13) )
        | ~ ! [X7] :
              ( ~ ( ! [X11] :
                      ( ~ ! [X12] :
                            ( ~ p1(X12)
                            | ~ r1(X11,X12) )
                      | ~ r1(X7,X11) )
                  & ~ ! [X8] :
                        ( ! [X9] :
                            ( ~ ! [X10] :
                                  ( ~ p1(X10)
                                  | ~ r1(X9,X10) )
                            | ~ r1(X8,X9) )
                        | ~ r1(X7,X8) ) )
              | ~ r1(X0,X7) )
        | ~ ! [X4] :
              ( ~ ( p1(X4)
                  & ~ ! [X5] :
                        ( ~ ! [X6] :
                              ( ~ p1(X6)
                              | ~ r1(X5,X6) )
                        | ~ r1(X4,X5) ) )
              | ~ r1(X0,X4) )
        | ~ ! [X1] :
              ( ~ ( ~ p1(X1)
                  & ~ ! [X2] :
                        ( ~ ! [X3] :
                              ( p1(X3)
                              | ~ r1(X2,X3) )
                        | ~ r1(X1,X2) ) )
              | ~ r1(X0,X1) ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ? [X0] :
      ( ? [X19] :
          ( ! [X20] :
              ( p1(X20)
              | ~ r1(X19,X20) )
          & ~ p1(X19)
          & r1(X0,X19) )
      & ! [X17] :
          ( ? [X18] : r1(X17,X18)
          | ~ r1(X0,X17) )
      & ! [X13] :
          ( ? [X16] :
              ( ~ p1(X16)
              & r1(X13,X16) )
          | ! [X14] :
              ( ! [X15] :
                  ( p1(X15)
                  | ~ r1(X14,X15) )
              | ~ r1(X13,X14) )
          | ~ r1(X0,X13) )
      & ! [X7] :
          ( ? [X11] :
              ( ! [X12] :
                  ( ~ p1(X12)
                  | ~ r1(X11,X12) )
              & r1(X7,X11) )
          | ! [X8] :
              ( ! [X9] :
                  ( ? [X10] :
                      ( p1(X10)
                      & r1(X9,X10) )
                  | ~ r1(X8,X9) )
              | ~ r1(X7,X8) )
          | ~ r1(X0,X7) )
      & ! [X4] :
          ( ~ p1(X4)
          | ! [X5] :
              ( ? [X6] :
                  ( p1(X6)
                  & r1(X5,X6) )
              | ~ r1(X4,X5) )
          | ~ r1(X0,X4) )
      & ! [X1] :
          ( p1(X1)
          | ! [X2] :
              ( ? [X3] :
                  ( ~ p1(X3)
                  & r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f7,plain,
    ? [X0] :
      ( ? [X19] :
          ( ! [X20] :
              ( p1(X20)
              | ~ r1(X19,X20) )
          & ~ p1(X19)
          & r1(X0,X19) )
      & ! [X17] :
          ( ? [X18] : r1(X17,X18)
          | ~ r1(X0,X17) )
      & ! [X13] :
          ( ? [X16] :
              ( ~ p1(X16)
              & r1(X13,X16) )
          | ! [X14] :
              ( ! [X15] :
                  ( p1(X15)
                  | ~ r1(X14,X15) )
              | ~ r1(X13,X14) )
          | ~ r1(X0,X13) )
      & ! [X7] :
          ( ? [X11] :
              ( ! [X12] :
                  ( ~ p1(X12)
                  | ~ r1(X11,X12) )
              & r1(X7,X11) )
          | ! [X8] :
              ( ! [X9] :
                  ( ? [X10] :
                      ( p1(X10)
                      & r1(X9,X10) )
                  | ~ r1(X8,X9) )
              | ~ r1(X7,X8) )
          | ~ r1(X0,X7) )
      & ! [X4] :
          ( ~ p1(X4)
          | ! [X5] :
              ( ? [X6] :
                  ( p1(X6)
                  & r1(X5,X6) )
              | ~ r1(X4,X5) )
          | ~ r1(X0,X4) )
      & ! [X1] :
          ( p1(X1)
          | ! [X2] :
              ( ? [X3] :
                  ( ~ p1(X3)
                  & r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) ) ),
    inference(flattening,[],[f6]) ).

fof(f8,plain,
    ( ! [X20] :
        ( p1(X20)
        | ~ r1(sK7,X20) )
    & ~ p1(sK7)
    & r1(sK0,sK7)
    & ! [X17] :
        ( r1(X17,sK6(X17))
        | ~ r1(sK0,X17) )
    & ! [X13] :
        ( ( ~ p1(sK5(X13))
          & r1(X13,sK5(X13)) )
        | ! [X14] :
            ( ! [X15] :
                ( p1(X15)
                | ~ r1(X14,X15) )
            | ~ r1(X13,X14) )
        | ~ r1(sK0,X13) )
    & ! [X7] :
        ( ( ! [X12] :
              ( ~ p1(X12)
              | ~ r1(sK4(X7),X12) )
          & r1(X7,sK4(X7)) )
        | ! [X8] :
            ( ! [X9] :
                ( ( p1(sK3(X9))
                  & r1(X9,sK3(X9)) )
                | ~ r1(X8,X9) )
            | ~ r1(X7,X8) )
        | ~ r1(sK0,X7) )
    & ! [X4] :
        ( ~ p1(X4)
        | ! [X5] :
            ( ( p1(sK2(X5))
              & r1(X5,sK2(X5)) )
            | ~ r1(X4,X5) )
        | ~ r1(sK0,X4) )
    & ! [X1] :
        ( p1(X1)
        | ! [X2] :
            ( ( ~ p1(sK1(X2))
              & r1(X2,sK1(X2)) )
            | ~ r1(X1,X2) )
        | ~ r1(sK0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X3,sK1(X2)),skolemize(X6,sK2(X5)),skolemize(X10,sK3(X9)),skolemize(X11,sK4(X7)),skolemize(X16,sK5(X13)),skolemize(X18,sK6(X17)),skolemize(X19,sK7)],[f7]) ).

fof(f9,plain,
    ! [X20] :
      ( p1(X20)
      | ~ r1(sK7,X20) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f10,plain,
    ~ p1(sK7),
    inference(cnf_transformation,[],[f8]) ).

fof(f11,plain,
    r1(sK0,sK7),
    inference(cnf_transformation,[],[f8]) ).

fof(f12,plain,
    ! [X17] :
      ( r1(X17,sK6(X17))
      | ~ r1(sK0,X17) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f13,plain,
    ! [X14,X15,X13] :
      ( ~ p1(sK5(X13))
      | p1(X15)
      | ~ r1(X14,X15)
      | ~ r1(X13,X14)
      | ~ r1(sK0,X13) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f14,plain,
    ! [X14,X15,X13] :
      ( r1(X13,sK5(X13))
      | p1(X15)
      | ~ r1(X14,X15)
      | ~ r1(X13,X14)
      | ~ r1(sK0,X13) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f21,plain,
    ! [X2,X1] :
      ( p1(X1)
      | ~ p1(sK1(X2))
      | ~ r1(X1,X2)
      | ~ r1(sK0,X1) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f22,plain,
    ! [X2,X1] :
      ( p1(X1)
      | r1(X2,sK1(X2))
      | ~ r1(X1,X2)
      | ~ r1(sK0,X1) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_49,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( p1(X0)
      | r1(X1,sK1(X1))
      | ~ r1(sK0,X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_50,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( p1(X0)
      | ~ p1(sK1(X1))
      | ~ r1(sK0,X0)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_57,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p1(X2)
      | r1(X0,sK5(X0))
      | ~ r1(sK0,X0)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_58,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p1(X2)
      | ~ p1(sK5(X0))
      | ~ r1(sK0,X0)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_59,negated_conjecture,
    ! [X0: $i] :
      ( r1(X0,sK6(X0))
      | ~ r1(sK0,X0) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_60,negated_conjecture,
    r1(sK0,sK7),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_61,negated_conjecture,
    ~ p1(sK7),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_62,negated_conjecture,
    ! [X0: $i] :
      ( p1(X0)
      | ~ r1(sK7,X0) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i] :
      ( p1(X0)
      | ~ r1(sK7,X0) ),
    inference(demodulation,[status(thm)],[c_62]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i] :
      ( r1(X0,sK6(X0))
      | ~ r1(sK0,X0) ),
    inference(demodulation,[status(thm)],[c_59]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p1(X2)
      | ~ p1(sK5(X0))
      | ~ r1(sK0,X0)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(demodulation,[status(thm)],[c_58]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( p1(X2)
      | r1(X0,sK5(X0))
      | ~ r1(sK0,X0)
      | ~ r1(X1,X2)
      | ~ r1(X0,X1) ),
    inference(demodulation,[status(thm)],[c_57]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( p1(X0)
      | ~ p1(sK1(X1))
      | ~ r1(sK0,X0)
      | ~ r1(X0,X1) ),
    inference(demodulation,[status(thm)],[c_50]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( p1(X0)
      | r1(X1,sK1(X1))
      | ~ r1(sK0,X0)
      | ~ r1(X0,X1) ),
    inference(demodulation,[status(thm)],[c_49]) ).

tcf(c_197,plain,
    ( r1(sK7,sK6(sK7))
    | ~ r1(sK0,sK7) ),
    inference(instantiation,[status(thm)],[c_186]) ).

tcf(c_198,plain,
    ! [X0: $i] :
      ( p1(sK7)
      | ~ r1(sK0,sK7)
      | ~ p1(sK1(X0))
      | ~ r1(sK7,X0) ),
    inference(instantiation,[status(thm)],[c_195]) ).

tcf(c_200,plain,
    ! [X0: $i] :
      ( p1(sK7)
      | r1(X0,sK1(X0))
      | ~ r1(sK0,sK7)
      | ~ r1(sK7,X0) ),
    inference(instantiation,[status(thm)],[c_196]) ).

tcf(c_202,plain,
    ! [X0: $i,X1: $i] :
      ( p1(X1)
      | ~ p1(sK5(sK7))
      | ~ r1(sK0,sK7)
      | ~ r1(sK7,X0)
      | ~ r1(X0,X1) ),
    inference(instantiation,[status(thm)],[c_187]) ).

tcf(c_203,plain,
    ! [X0: $i,X1: $i] :
      ( p1(X1)
      | r1(sK7,sK5(sK7))
      | ~ r1(sK0,sK7)
      | ~ r1(sK7,X0)
      | ~ r1(X0,X1) ),
    inference(instantiation,[status(thm)],[c_188]) ).

tcf(c_209,plain,
    ( p1(sK7)
    | ~ r1(sK0,sK7)
    | ~ p1(sK1(sK6(sK7)))
    | ~ r1(sK7,sK6(sK7)) ),
    inference(instantiation,[status(thm)],[c_198]) ).

tcf(c_210,plain,
    ( p1(sK7)
    | r1(sK6(sK7),sK1(sK6(sK7)))
    | ~ r1(sK0,sK7)
    | ~ r1(sK7,sK6(sK7)) ),
    inference(instantiation,[status(thm)],[c_200]) ).

tcf(c_211,plain,
    ! [X0: $i] :
      ( p1(X0)
      | ~ p1(sK5(sK7))
      | ~ r1(sK0,sK7)
      | ~ r1(sK7,sK6(sK7))
      | ~ r1(sK6(sK7),X0) ),
    inference(instantiation,[status(thm)],[c_202]) ).

tcf(c_216,plain,
    ( p1(sK5(sK7))
    | ~ r1(sK7,sK5(sK7)) ),
    inference(instantiation,[status(thm)],[c_183]) ).

tcf(c_225,plain,
    ! [X0: $i] :
      ( p1(X0)
      | r1(sK7,sK5(sK7))
      | ~ r1(sK0,sK7)
      | ~ r1(sK7,sK6(sK7))
      | ~ r1(sK6(sK7),X0) ),
    inference(instantiation,[status(thm)],[c_203]) ).

tcf(c_237,plain,
    ( p1(sK1(sK6(sK7)))
    | r1(sK7,sK5(sK7))
    | ~ r1(sK0,sK7)
    | ~ r1(sK7,sK6(sK7))
    | ~ r1(sK6(sK7),sK1(sK6(sK7))) ),
    inference(instantiation,[status(thm)],[c_225]) ).

tcf(c_263,plain,
    ( p1(sK1(sK6(sK7)))
    | ~ p1(sK5(sK7))
    | ~ r1(sK0,sK7)
    | ~ r1(sK7,sK6(sK7))
    | ~ r1(sK6(sK7),sK1(sK6(sK7))) ),
    inference(instantiation,[status(thm)],[c_211]) ).

tcf(c_264,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_263,c_237,c_216,c_210,c_209,c_197,c_60,c_61]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL638+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36  % Computer : n016.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.03/0.36  % CPULimit : 300
% 0.03/0.36  % WCLimit  : 300
% 0.03/0.36  % DateTime : Wed Sep 23 23:54:56 UTC 2026
% 0.03/0.36  % CPUTime  : 
% 0.03/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.40  Running first-order theorem proving
% 0.03/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.41  
% 0.03/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.41  
% 0.03/0.42  % Detected problem language: tptp
% 0.03/0.43  % Proving...
% 1.99/1.28  % SZS status Started for theBenchmark.p
% 1.99/1.28  % SZS status Theorem for theBenchmark.p
% 1.99/1.28  
% 1.99/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.99/1.28  
% 1.99/1.28  % ------  iProver source info
% 1.99/1.28  
% 1.99/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 1.99/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.99/1.28  % git: non_committed_changes: false
% 1.99/1.28  
% 1.99/1.28  % ------ Parsing...
% 1.99/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.99/1.28  
% 1.99/1.28  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 1.99/1.28  
% 1.99/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.99/1.28  % ------ Proving...
% 1.99/1.28  % ------ Problem Properties 
% 1.99/1.28  
% 1.99/1.28  % 
% 1.99/1.28  % clauses                               14
% 1.99/1.28  % conjectures                           14
% 1.99/1.28  % EPR                                   3
% 1.99/1.28  % Horn                                  10
% 1.99/1.28  % unary                                 2
% 1.99/1.28  % binary                                2
% 1.99/1.28  % lits                                  54
% 1.99/1.28  % lits eq                               0
% 1.99/1.28  % fd_pure                               0
% 1.99/1.28  % fd_pseudo                             0
% 1.99/1.28  % fd_cond                               0
% 1.99/1.28  % fd_pseudo_cond                        0
% 1.99/1.28  % AC symbols                            0
% 1.99/1.28  
% 1.99/1.28  % ------ Schedule dynamic 5 is on 
% 1.99/1.28  
% 1.99/1.28  % ------ no equalities: superposition off 
% 1.99/1.28  
% 1.99/1.28  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.99/1.28  
% 1.99/1.28  
% 1.99/1.28  % ------ 
% 1.99/1.28  % Current options:
% 1.99/1.28  % ------ 
% 1.99/1.28  
% 1.99/1.28  
% 1.99/1.28  % 
% 1.99/1.28  
% 1.99/1.28  % ------ Proving...
% 1.99/1.28  % 
% 1.99/1.28  
% 1.99/1.28  % SZS status Theorem for theBenchmark.p
% 1.99/1.28  
% 1.99/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.99/1.28  
% 1.99/1.28  
%------------------------------------------------------------------------------