TSTP Solution File: LCL654+1.001 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:38:34 EDT 2024

% Result   : Theorem 0.49s 1.17s
% Output   : CNFRefutation 0.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   82 (  13 unt;   0 def)
%            Number of atoms       :  600 (   0 equ)
%            Maximal formula atoms :   56 (   7 avg)
%            Number of connectives : 1028 ( 510   ~; 412   |;  97   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-1 aty)
%            Number of variables   :  323 (   0 sgn 194   !;  54   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : r1(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).

fof(f2,conjecture,
    ~ ? [X0] :
        ~ ( ! [X1] :
              ( ~ ! [X0] :
                    ( p1(X0)
                    | ~ r1(X1,X0) )
              | ! [X0] :
                  ( ! [X1] :
                      ( p1(X1)
                      | ~ r1(X0,X1) )
                  | ~ r1(X1,X0) )
              | ~ r1(X0,X1) )
          | ~ ! [X1] :
                ( ~ ! [X0] :
                      ( $false
                      | ~ 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] :
                ( ! [X0] :
                    ( ~ ( ~ ! [X1] :
                              ( p1(X1)
                              | ~ r1(X0,X1) )
                        & ~ ! [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) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

fof(f3,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ! [X1] :
                ( ~ ! [X0] :
                      ( p1(X0)
                      | ~ r1(X1,X0) )
                | ! [X0] :
                    ( ! [X1] :
                        ( p1(X1)
                        | ~ r1(X0,X1) )
                    | ~ r1(X1,X0) )
                | ~ r1(X0,X1) )
            | ~ ! [X1] :
                  ( ~ ! [X0] :
                        ( $false
                        | ~ 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] :
                  ( ! [X0] :
                      ( ~ ( ~ ! [X1] :
                                ( p1(X1)
                                | ~ r1(X0,X1) )
                          & ~ ! [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) ) ),
    inference(negated_conjecture,[],[f2]) ).

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

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

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

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

fof(f8,plain,
    ? [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( p1(X2)
              | ~ r1(X1,X2) )
          & ? [X3] :
              ( ? [X4] :
                  ( ~ p1(X4)
                  & r1(X3,X4) )
              & r1(X1,X3) )
          & r1(X0,X1) )
      & ! [X5] :
          ( ? [X6] : r1(X5,X6)
          | ~ r1(X0,X5) )
      & ! [X7] :
          ( ! [X8] :
              ( ? [X9] :
                  ( ~ p1(X9)
                  & r1(X8,X9) )
              | ~ r1(X7,X8) )
          | ! [X10] :
              ( ? [X11] :
                  ( ! [X12] :
                      ( p1(X12)
                      | ~ r1(X11,X12) )
                  & r1(X10,X11) )
              | ~ r1(X7,X10) )
          | ~ r1(X0,X7) )
      & ! [X13] :
          ( ! [X14] :
              ( ! [X15] :
                  ( p1(X15)
                  | ~ r1(X14,X15) )
              | ! [X16] :
                  ( ? [X17] :
                      ( ~ p1(X17)
                      & r1(X16,X17) )
                  | ~ r1(X14,X16) )
              | ~ r1(X13,X14) )
          | ~ r1(X0,X13) )
      & ! [X18] :
          ( ~ p1(X18)
          | ! [X19] :
              ( ? [X20] :
                  ( p1(X20)
                  & r1(X19,X20) )
              | ~ r1(X18,X19) )
          | ~ r1(X0,X18) ) ),
    inference(flattening,[],[f7]) ).

fof(f9,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ! [X2] :
                ( p1(X2)
                | ~ r1(X1,X2) )
            & ? [X3] :
                ( ? [X4] :
                    ( ~ p1(X4)
                    & r1(X3,X4) )
                & r1(X1,X3) )
            & r1(X0,X1) )
        & ! [X5] :
            ( ? [X6] : r1(X5,X6)
            | ~ r1(X0,X5) )
        & ! [X7] :
            ( ! [X8] :
                ( ? [X9] :
                    ( ~ p1(X9)
                    & r1(X8,X9) )
                | ~ r1(X7,X8) )
            | ! [X10] :
                ( ? [X11] :
                    ( ! [X12] :
                        ( p1(X12)
                        | ~ r1(X11,X12) )
                    & r1(X10,X11) )
                | ~ r1(X7,X10) )
            | ~ r1(X0,X7) )
        & ! [X13] :
            ( ! [X14] :
                ( ! [X15] :
                    ( p1(X15)
                    | ~ r1(X14,X15) )
                | ! [X16] :
                    ( ? [X17] :
                        ( ~ p1(X17)
                        & r1(X16,X17) )
                    | ~ r1(X14,X16) )
                | ~ r1(X13,X14) )
            | ~ r1(X0,X13) )
        & ! [X18] :
            ( ~ p1(X18)
            | ! [X19] :
                ( ? [X20] :
                    ( p1(X20)
                    & r1(X19,X20) )
                | ~ r1(X18,X19) )
            | ~ r1(X0,X18) ) )
   => ( ? [X1] :
          ( ! [X2] :
              ( p1(X2)
              | ~ r1(X1,X2) )
          & ? [X3] :
              ( ? [X4] :
                  ( ~ p1(X4)
                  & r1(X3,X4) )
              & r1(X1,X3) )
          & r1(sK0,X1) )
      & ! [X5] :
          ( ? [X6] : r1(X5,X6)
          | ~ r1(sK0,X5) )
      & ! [X7] :
          ( ! [X8] :
              ( ? [X9] :
                  ( ~ p1(X9)
                  & r1(X8,X9) )
              | ~ r1(X7,X8) )
          | ! [X10] :
              ( ? [X11] :
                  ( ! [X12] :
                      ( p1(X12)
                      | ~ r1(X11,X12) )
                  & r1(X10,X11) )
              | ~ r1(X7,X10) )
          | ~ r1(sK0,X7) )
      & ! [X13] :
          ( ! [X14] :
              ( ! [X15] :
                  ( p1(X15)
                  | ~ r1(X14,X15) )
              | ! [X16] :
                  ( ? [X17] :
                      ( ~ p1(X17)
                      & r1(X16,X17) )
                  | ~ r1(X14,X16) )
              | ~ r1(X13,X14) )
          | ~ r1(sK0,X13) )
      & ! [X18] :
          ( ~ p1(X18)
          | ! [X19] :
              ( ? [X20] :
                  ( p1(X20)
                  & r1(X19,X20) )
              | ~ r1(X18,X19) )
          | ~ r1(sK0,X18) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f10,plain,
    ( ? [X1] :
        ( ! [X2] :
            ( p1(X2)
            | ~ r1(X1,X2) )
        & ? [X3] :
            ( ? [X4] :
                ( ~ p1(X4)
                & r1(X3,X4) )
            & r1(X1,X3) )
        & r1(sK0,X1) )
   => ( ! [X2] :
          ( p1(X2)
          | ~ r1(sK1,X2) )
      & ? [X3] :
          ( ? [X4] :
              ( ~ p1(X4)
              & r1(X3,X4) )
          & r1(sK1,X3) )
      & r1(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f11,plain,
    ( ? [X3] :
        ( ? [X4] :
            ( ~ p1(X4)
            & r1(X3,X4) )
        & r1(sK1,X3) )
   => ( ? [X4] :
          ( ~ p1(X4)
          & r1(sK2,X4) )
      & r1(sK1,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f12,plain,
    ( ? [X4] :
        ( ~ p1(X4)
        & r1(sK2,X4) )
   => ( ~ p1(sK3)
      & r1(sK2,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ! [X5] :
      ( ? [X6] : r1(X5,X6)
     => r1(X5,sK4(X5)) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ! [X8] :
      ( ? [X9] :
          ( ~ p1(X9)
          & r1(X8,X9) )
     => ( ~ p1(sK5(X8))
        & r1(X8,sK5(X8)) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ! [X10] :
      ( ? [X11] :
          ( ! [X12] :
              ( p1(X12)
              | ~ r1(X11,X12) )
          & r1(X10,X11) )
     => ( ! [X12] :
            ( p1(X12)
            | ~ r1(sK6(X10),X12) )
        & r1(X10,sK6(X10)) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ! [X16] :
      ( ? [X17] :
          ( ~ p1(X17)
          & r1(X16,X17) )
     => ( ~ p1(sK7(X16))
        & r1(X16,sK7(X16)) ) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ! [X19] :
      ( ? [X20] :
          ( p1(X20)
          & r1(X19,X20) )
     => ( p1(sK8(X19))
        & r1(X19,sK8(X19)) ) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ( ! [X2] :
        ( p1(X2)
        | ~ r1(sK1,X2) )
    & ~ p1(sK3)
    & r1(sK2,sK3)
    & r1(sK1,sK2)
    & r1(sK0,sK1)
    & ! [X5] :
        ( r1(X5,sK4(X5))
        | ~ r1(sK0,X5) )
    & ! [X7] :
        ( ! [X8] :
            ( ( ~ p1(sK5(X8))
              & r1(X8,sK5(X8)) )
            | ~ r1(X7,X8) )
        | ! [X10] :
            ( ( ! [X12] :
                  ( p1(X12)
                  | ~ r1(sK6(X10),X12) )
              & r1(X10,sK6(X10)) )
            | ~ r1(X7,X10) )
        | ~ r1(sK0,X7) )
    & ! [X13] :
        ( ! [X14] :
            ( ! [X15] :
                ( p1(X15)
                | ~ r1(X14,X15) )
            | ! [X16] :
                ( ( ~ p1(sK7(X16))
                  & r1(X16,sK7(X16)) )
                | ~ r1(X14,X16) )
            | ~ r1(X13,X14) )
        | ~ r1(sK0,X13) )
    & ! [X18] :
        ( ~ p1(X18)
        | ! [X19] :
            ( ( p1(sK8(X19))
              & r1(X19,sK8(X19)) )
            | ~ r1(X18,X19) )
        | ~ r1(sK0,X18) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f8,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).

fof(f19,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f22,plain,
    ! [X16,X14,X15,X13] :
      ( p1(X15)
      | ~ r1(X14,X15)
      | r1(X16,sK7(X16))
      | ~ r1(X14,X16)
      | ~ r1(X13,X14)
      | ~ r1(sK0,X13) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f23,plain,
    ! [X16,X14,X15,X13] :
      ( p1(X15)
      | ~ r1(X14,X15)
      | ~ p1(sK7(X16))
      | ~ r1(X14,X16)
      | ~ r1(X13,X14)
      | ~ r1(sK0,X13) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f24,plain,
    ! [X10,X8,X7] :
      ( r1(X8,sK5(X8))
      | ~ r1(X7,X8)
      | r1(X10,sK6(X10))
      | ~ r1(X7,X10)
      | ~ r1(sK0,X7) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f25,plain,
    ! [X10,X8,X7,X12] :
      ( r1(X8,sK5(X8))
      | ~ r1(X7,X8)
      | p1(X12)
      | ~ r1(sK6(X10),X12)
      | ~ r1(X7,X10)
      | ~ r1(sK0,X7) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f26,plain,
    ! [X10,X8,X7] :
      ( ~ p1(sK5(X8))
      | ~ r1(X7,X8)
      | r1(X10,sK6(X10))
      | ~ r1(X7,X10)
      | ~ r1(sK0,X7) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f27,plain,
    ! [X10,X8,X7,X12] :
      ( ~ p1(sK5(X8))
      | ~ r1(X7,X8)
      | p1(X12)
      | ~ r1(sK6(X10),X12)
      | ~ r1(X7,X10)
      | ~ r1(sK0,X7) ),
    inference(cnf_transformation,[],[f18]) ).

fof(f29,plain,
    r1(sK0,sK1),
    inference(cnf_transformation,[],[f18]) ).

fof(f30,plain,
    r1(sK1,sK2),
    inference(cnf_transformation,[],[f18]) ).

fof(f31,plain,
    r1(sK2,sK3),
    inference(cnf_transformation,[],[f18]) ).

fof(f32,plain,
    ~ p1(sK3),
    inference(cnf_transformation,[],[f18]) ).

fof(f33,plain,
    ! [X2] :
      ( p1(X2)
      | ~ r1(sK1,X2) ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_49,plain,
    r1(X0,X0),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_50,negated_conjecture,
    ( ~ r1(sK1,X0)
    | p1(X0) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_51,negated_conjecture,
    ~ p1(sK3),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_52,negated_conjecture,
    r1(sK2,sK3),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_53,negated_conjecture,
    r1(sK1,sK2),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_54,negated_conjecture,
    r1(sK0,sK1),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_56,negated_conjecture,
    ( ~ r1(sK6(X0),X1)
    | ~ r1(X2,X0)
    | ~ r1(X2,X3)
    | ~ r1(sK0,X2)
    | ~ p1(sK5(X3))
    | p1(X1) ),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_57,negated_conjecture,
    ( ~ r1(X0,X1)
    | ~ r1(X0,X2)
    | ~ r1(sK0,X0)
    | ~ p1(sK5(X1))
    | r1(X2,sK6(X2)) ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_58,negated_conjecture,
    ( ~ r1(sK6(X0),X1)
    | ~ r1(X2,X0)
    | ~ r1(X2,X3)
    | ~ r1(sK0,X2)
    | r1(X3,sK5(X3))
    | p1(X1) ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_59,negated_conjecture,
    ( ~ r1(X0,X1)
    | ~ r1(X0,X2)
    | ~ r1(sK0,X0)
    | r1(X1,sK5(X1))
    | r1(X2,sK6(X2)) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_60,negated_conjecture,
    ( ~ r1(X0,X1)
    | ~ r1(X0,X2)
    | ~ r1(X3,X0)
    | ~ r1(sK0,X3)
    | ~ p1(sK7(X2))
    | p1(X1) ),
    inference(cnf_transformation,[],[f23]) ).

cnf(c_61,negated_conjecture,
    ( ~ r1(X0,X1)
    | ~ r1(X0,X2)
    | ~ r1(X3,X0)
    | ~ r1(sK0,X3)
    | r1(X2,sK7(X2))
    | p1(X1) ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_212,plain,
    ( ~ r1(sK6(X0),sK3)
    | ~ r1(X1,X0)
    | ~ r1(X1,X2)
    | ~ r1(sK0,X1)
    | ~ p1(sK5(X2)) ),
    inference(resolution,[status(thm)],[c_56,c_51]) ).

cnf(c_265,plain,
    ( ~ r1(sK6(sK2),sK3)
    | ~ r1(sK1,X0)
    | ~ p1(sK5(X0))
    | ~ r1(sK0,sK1) ),
    inference(resolution,[status(thm)],[c_212,c_53]) ).

cnf(c_267,plain,
    ( ~ p1(sK5(X0))
    | ~ r1(sK1,X0)
    | ~ r1(sK6(sK2),sK3) ),
    inference(global_subsumption_just,[status(thm)],[c_265,c_54,c_265]) ).

cnf(c_268,plain,
    ( ~ r1(sK6(sK2),sK3)
    | ~ r1(sK1,X0)
    | ~ p1(sK5(X0)) ),
    inference(renaming,[status(thm)],[c_267]) ).

cnf(c_283,plain,
    ( ~ r1(sK1,sK5(X0))
    | p1(sK5(X0)) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_288,plain,
    ( ~ r1(X0,X1)
    | ~ r1(X2,X0)
    | ~ r1(X0,sK3)
    | ~ r1(sK0,X2)
    | r1(X1,sK7(X1))
    | p1(sK3) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_322,plain,
    ( ~ r1(X0,sK2)
    | ~ r1(sK2,X1)
    | ~ r1(sK0,X0)
    | ~ r1(sK2,sK3)
    | r1(X1,sK7(X1))
    | p1(sK3) ),
    inference(instantiation,[status(thm)],[c_288]) ).

cnf(c_328,plain,
    ( ~ r1(sK6(X0),sK7(sK6(X0)))
    | ~ r1(X1,X0)
    | ~ r1(X1,X2)
    | ~ r1(sK0,X1)
    | r1(X2,sK5(X2))
    | p1(sK7(sK6(X0))) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_360,plain,
    ( ~ r1(X0,X1)
    | ~ r1(X0,sK1)
    | ~ r1(sK0,X0)
    | r1(X1,sK6(X1))
    | r1(sK1,sK5(sK1)) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_361,plain,
    ( ~ r1(sK1,sK5(sK1))
    | p1(sK5(sK1)) ),
    inference(instantiation,[status(thm)],[c_283]) ).

cnf(c_400,plain,
    ( ~ r1(sK2,X0)
    | ~ r1(sK1,sK2)
    | ~ r1(sK2,sK3)
    | ~ r1(sK0,sK1)
    | r1(X0,sK7(X0))
    | p1(sK3) ),
    inference(instantiation,[status(thm)],[c_322]) ).

cnf(c_536,plain,
    r1(sK1,sK1),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_705,plain,
    ( ~ r1(sK6(X0),X1)
    | ~ r1(X2,X0)
    | ~ r1(X2,sK1)
    | ~ r1(sK0,X2)
    | ~ p1(sK5(sK1))
    | p1(X1) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_707,plain,
    ( ~ r1(X0,X1)
    | ~ r1(X0,sK1)
    | ~ r1(sK0,X0)
    | ~ p1(sK5(sK1))
    | r1(X1,sK6(X1)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_887,plain,
    ( ~ r1(sK6(X0),sK7(sK6(X1)))
    | ~ r1(X2,X0)
    | ~ r1(X2,sK1)
    | ~ r1(sK0,X2)
    | ~ p1(sK5(sK1))
    | p1(sK7(sK6(X1))) ),
    inference(instantiation,[status(thm)],[c_705]) ).

cnf(c_923,plain,
    ( ~ r1(X0,X1)
    | ~ r1(X2,X0)
    | ~ r1(X0,sK3)
    | ~ r1(sK0,X2)
    | ~ p1(sK7(X1))
    | p1(sK3) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_1018,plain,
    ( ~ r1(X0,X1)
    | ~ r1(X2,X0)
    | ~ r1(X0,sK3)
    | ~ r1(sK0,X2)
    | ~ p1(sK7(X1)) ),
    inference(resolution,[status(thm)],[c_60,c_51]) ).

cnf(c_1064,plain,
    ( ~ r1(sK2,X0)
    | ~ p1(sK7(X0))
    | ~ r1(sK2,sK3)
    | ~ r1(sK0,sK1) ),
    inference(resolution,[status(thm)],[c_1018,c_53]) ).

cnf(c_1066,plain,
    ( ~ r1(sK2,X0)
    | ~ p1(sK7(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_1064,c_54,c_52,c_1064]) ).

cnf(c_1150,plain,
    ( ~ r1(X0,sK2)
    | ~ r1(sK2,X1)
    | ~ r1(sK0,X0)
    | ~ p1(sK7(X1))
    | ~ r1(sK2,sK3)
    | p1(sK3) ),
    inference(instantiation,[status(thm)],[c_923]) ).

cnf(c_1158,plain,
    ( ~ r1(sK2,sK6(X0))
    | ~ r1(sK1,sK2)
    | ~ r1(sK2,sK3)
    | ~ r1(sK0,sK1)
    | r1(sK6(X0),sK7(sK6(X0)))
    | p1(sK3) ),
    inference(instantiation,[status(thm)],[c_400]) ).

cnf(c_1203,plain,
    ( ~ r1(sK6(X0),sK7(sK6(X0)))
    | ~ r1(X1,X0)
    | ~ r1(X1,sK1)
    | ~ r1(sK0,X1)
    | p1(sK7(sK6(X0)))
    | r1(sK1,sK5(sK1)) ),
    inference(instantiation,[status(thm)],[c_328]) ).

cnf(c_1228,plain,
    ( ~ p1(sK7(sK6(sK2)))
    | ~ r1(X0,X1)
    | ~ r1(X0,sK2)
    | ~ r1(sK0,X0)
    | r1(X1,sK5(X1)) ),
    inference(resolution,[status(thm)],[c_1066,c_59]) ).

cnf(c_1390,plain,
    ( ~ r1(sK2,X0)
    | ~ p1(sK7(X0))
    | ~ r1(sK1,sK2)
    | ~ r1(sK2,sK3)
    | ~ r1(sK0,sK1)
    | p1(sK3) ),
    inference(instantiation,[status(thm)],[c_1150]) ).

cnf(c_1460,plain,
    ( ~ r1(sK2,sK6(sK2))
    | ~ r1(sK1,sK2)
    | ~ r1(sK2,sK3)
    | ~ r1(sK0,sK1)
    | r1(sK6(sK2),sK7(sK6(sK2)))
    | p1(sK3) ),
    inference(instantiation,[status(thm)],[c_1158]) ).

cnf(c_1462,plain,
    ( ~ r1(X0,X1)
    | ~ r1(X0,sK2)
    | ~ r1(sK0,X0)
    | ~ p1(sK5(X1))
    | r1(sK2,sK6(sK2)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_1556,plain,
    ( ~ r1(sK6(sK2),sK7(sK6(sK2)))
    | ~ r1(X0,sK1)
    | ~ r1(X0,sK2)
    | ~ r1(sK0,X0)
    | r1(sK1,sK5(sK1))
    | p1(sK7(sK6(sK2))) ),
    inference(instantiation,[status(thm)],[c_1203]) ).

cnf(c_1563,plain,
    ( ~ r1(sK6(sK2),sK7(sK6(sK2)))
    | ~ r1(X0,sK1)
    | ~ r1(X0,sK2)
    | ~ r1(sK0,X0)
    | ~ p1(sK5(sK1))
    | p1(sK7(sK6(sK2))) ),
    inference(instantiation,[status(thm)],[c_887]) ).

cnf(c_1623,plain,
    ( ~ r1(sK2,sK6(sK2))
    | ~ p1(sK7(sK6(sK2)))
    | ~ r1(sK1,sK2)
    | ~ r1(sK2,sK3)
    | ~ r1(sK0,sK1)
    | p1(sK3) ),
    inference(instantiation,[status(thm)],[c_1390]) ).

cnf(c_1624,plain,
    ( ~ r1(X0,sK1)
    | ~ r1(X0,sK2)
    | ~ r1(sK0,X0)
    | r1(sK1,sK5(sK1))
    | r1(sK2,sK6(sK2)) ),
    inference(instantiation,[status(thm)],[c_360]) ).

cnf(c_1626,plain,
    ( ~ r1(X0,sK1)
    | ~ r1(X0,sK2)
    | ~ r1(sK0,X0)
    | ~ p1(sK5(sK1))
    | r1(sK2,sK6(sK2)) ),
    inference(instantiation,[status(thm)],[c_707]) ).

cnf(c_1727,plain,
    ( ~ r1(sK1,X0)
    | ~ p1(sK5(X0))
    | ~ r1(sK1,sK2)
    | ~ r1(sK0,sK1)
    | r1(sK2,sK6(sK2)) ),
    inference(instantiation,[status(thm)],[c_1462]) ).

cnf(c_1893,plain,
    ( ~ r1(sK6(sK2),sK3)
    | ~ p1(sK5(sK5(sK1)))
    | ~ p1(sK7(sK6(sK2)))
    | ~ r1(X0,sK1)
    | ~ r1(X0,sK2)
    | ~ r1(sK0,X0) ),
    inference(resolution,[status(thm)],[c_1228,c_268]) ).

cnf(c_1895,plain,
    ( ~ p1(sK7(sK6(sK2)))
    | ~ r1(X0,sK1)
    | ~ r1(X0,sK2)
    | ~ r1(sK0,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1893,c_54,c_53,c_52,c_51,c_361,c_1623,c_1626,c_1624]) ).

cnf(c_2055,plain,
    ( ~ r1(sK1,sK1)
    | ~ r1(sK1,sK2)
    | ~ r1(sK0,sK1)
    | ~ p1(sK5(sK1))
    | r1(sK2,sK6(sK2)) ),
    inference(instantiation,[status(thm)],[c_1727]) ).

cnf(c_2113,plain,
    ( ~ p1(sK7(sK6(sK2)))
    | ~ r1(sK1,sK1)
    | ~ r1(sK1,sK2) ),
    inference(resolution,[status(thm)],[c_1895,c_54]) ).

cnf(c_2330,plain,
    ( ~ r1(sK1,sK1)
    | ~ r1(sK1,sK2)
    | ~ r1(sK0,sK1)
    | r1(sK1,sK5(sK1))
    | r1(sK2,sK6(sK2)) ),
    inference(instantiation,[status(thm)],[c_1624]) ).

cnf(c_2338,plain,
    ( ~ r1(sK6(sK2),sK7(sK6(sK2)))
    | ~ r1(sK1,sK1)
    | ~ r1(sK1,sK2)
    | ~ r1(sK0,sK1)
    | r1(sK1,sK5(sK1))
    | p1(sK7(sK6(sK2))) ),
    inference(instantiation,[status(thm)],[c_1556]) ).

cnf(c_2342,plain,
    ( ~ r1(sK6(sK2),sK7(sK6(sK2)))
    | ~ r1(sK1,sK1)
    | ~ r1(sK1,sK2)
    | ~ r1(sK0,sK1)
    | ~ p1(sK5(sK1))
    | p1(sK7(sK6(sK2))) ),
    inference(instantiation,[status(thm)],[c_1563]) ).

cnf(c_2497,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2342,c_2338,c_2330,c_2113,c_2055,c_1460,c_536,c_361,c_51,c_52,c_53,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : LCL654+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu May  2 19:02:57 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.49/1.17  % SZS status Started for theBenchmark.p
% 0.49/1.17  % SZS status Theorem for theBenchmark.p
% 0.49/1.17  
% 0.49/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.49/1.17  
% 0.49/1.17  ------  iProver source info
% 0.49/1.17  
% 0.49/1.17  git: date: 2024-05-02 19:28:25 +0000
% 0.49/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.49/1.17  git: non_committed_changes: false
% 0.49/1.17  
% 0.49/1.17  ------ Parsing...
% 0.49/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.49/1.17  
% 0.49/1.17  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.49/1.17  
% 0.49/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.49/1.17  ------ Proving...
% 0.49/1.17  ------ Problem Properties 
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  clauses                                 15
% 0.49/1.17  conjectures                             14
% 0.49/1.17  EPR                                     6
% 0.49/1.17  Horn                                    12
% 0.49/1.17  unary                                   5
% 0.49/1.17  binary                                  2
% 0.49/1.17  lits                                    51
% 0.49/1.17  lits eq                                 0
% 0.49/1.17  fd_pure                                 0
% 0.49/1.17  fd_pseudo                               0
% 0.49/1.17  fd_cond                                 0
% 0.49/1.17  fd_pseudo_cond                          0
% 0.49/1.17  AC symbols                              0
% 0.49/1.17  
% 0.49/1.17  ------ Input Options Time Limit: Unbounded
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  ------ 
% 0.49/1.17  Current options:
% 0.49/1.17  ------ 
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  ------ Proving...
% 0.49/1.17  
% 0.49/1.17  
% 0.49/1.17  % SZS status Theorem for theBenchmark.p
% 0.49/1.17  
% 0.49/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.49/1.17  
% 0.49/1.17  
%------------------------------------------------------------------------------