TSTP Solution File: LCL656+1.005 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 : Wed May  1 03:15:24 EDT 2024

% Result   : Theorem 0.62s 0.77s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   61 (  14 unt;   0 def)
%            Number of atoms       : 1305 (   0 equ)
%            Maximal formula atoms :  129 (  21 avg)
%            Number of connectives : 2210 ( 966   ~; 693   |; 546   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   44 (  12 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   27 (  26 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :  373 ( 321   !;  52   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f418,plain,
    $false,
    inference(subsumption_resolution,[],[f382,f411]) ).

fof(f411,plain,
    ~ r1(sK15(sK22),sK17(sK15(sK22))),
    inference(unit_resulting_resolution,[],[f194,f197,f196,f134,f134,f134,f281,f136]) ).

fof(f136,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ sP2(X1)
      | ~ r1(X2,X0)
      | ~ r1(X3,X2)
      | ~ r1(X4,X3)
      | ~ r1(sK22,X4)
      | p102(X1)
      | ~ p101(X1)
      | ~ r1(X0,sK17(X1)) ),
    inference(resolution,[],[f130,f107]) ).

fof(f107,plain,
    ! [X0] :
      ( ~ p3(sK17(X0))
      | p102(X0)
      | ~ p101(X0)
      | ~ sP2(X0) ),
    inference(cnf_transformation,[],[f50]) ).

fof(f50,plain,
    ! [X0] :
      ( ~ p101(X0)
      | p102(X0)
      | ( p102(sK16(X0))
        & ~ p103(sK16(X0))
        & p3(sK16(X0))
        & r1(X0,sK16(X0))
        & p102(sK17(X0))
        & ~ p103(sK17(X0))
        & ~ p3(sK17(X0))
        & r1(X0,sK17(X0)) )
      | ~ sP2(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17])],[f47,f49,f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ? [X1] :
          ( p102(X1)
          & ~ p103(X1)
          & p3(X1)
          & r1(X0,X1) )
     => ( p102(sK16(X0))
        & ~ p103(sK16(X0))
        & p3(sK16(X0))
        & r1(X0,sK16(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f49,plain,
    ! [X0] :
      ( ? [X2] :
          ( p102(X2)
          & ~ p103(X2)
          & ~ p3(X2)
          & r1(X0,X2) )
     => ( p102(sK17(X0))
        & ~ p103(sK17(X0))
        & ~ p3(sK17(X0))
        & r1(X0,sK17(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ p101(X0)
      | p102(X0)
      | ( ? [X1] :
            ( p102(X1)
            & ~ p103(X1)
            & p3(X1)
            & r1(X0,X1) )
        & ? [X2] :
            ( p102(X2)
            & ~ p103(X2)
            & ~ p3(X2)
            & r1(X0,X2) ) )
      | ~ sP2(X0) ),
    inference(rectify,[],[f46]) ).

fof(f46,plain,
    ! [X5] :
      ( ~ p101(X5)
      | p102(X5)
      | ( ? [X20] :
            ( p102(X20)
            & ~ p103(X20)
            & p3(X20)
            & r1(X5,X20) )
        & ? [X21] :
            ( p102(X21)
            & ~ p103(X21)
            & ~ p3(X21)
            & r1(X5,X21) ) )
      | ~ sP2(X5) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f11,plain,
    ! [X5] :
      ( ~ p101(X5)
      | p102(X5)
      | ( ? [X20] :
            ( p102(X20)
            & ~ p103(X20)
            & p3(X20)
            & r1(X5,X20) )
        & ? [X21] :
            ( p102(X21)
            & ~ p103(X21)
            & ~ p3(X21)
            & r1(X5,X21) ) )
      | ~ sP2(X5) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).

fof(f130,plain,
    ! [X10,X8,X6,X9,X7] :
      ( p3(X10)
      | ~ r1(X9,X10)
      | ~ r1(X8,X9)
      | ~ r1(X7,X8)
      | ~ r1(X6,X7)
      | ~ r1(sK22,X6) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f63,plain,
    ( p100(sK22)
    & ~ p101(sK22)
    & ! [X1] :
        ( ! [X2] :
            ( ! [X3] :
                ( ! [X4] :
                    ( ! [X5] :
                        ( sP11(X5)
                        | ~ r1(X4,X5) )
                    | ~ r1(X3,X4) )
                | ~ r1(X2,X3) )
            | ~ r1(X1,X2) )
        | ~ r1(sK22,X1) )
    & ! [X6] :
        ( ! [X7] :
            ( ! [X8] :
                ( ! [X9] :
                    ( ! [X10] :
                        ( p3(X10)
                        | ~ r1(X9,X10) )
                    | ~ r1(X8,X9) )
                | ~ r1(X7,X8) )
            | ~ r1(X6,X7) )
        | ~ r1(sK22,X6) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f61,f62]) ).

fof(f62,plain,
    ( ? [X0] :
        ( p100(X0)
        & ~ p101(X0)
        & ! [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( ! [X4] :
                        ( ! [X5] :
                            ( sP11(X5)
                            | ~ r1(X4,X5) )
                        | ~ r1(X3,X4) )
                    | ~ r1(X2,X3) )
                | ~ r1(X1,X2) )
            | ~ r1(X0,X1) )
        & ! [X6] :
            ( ! [X7] :
                ( ! [X8] :
                    ( ! [X9] :
                        ( ! [X10] :
                            ( p3(X10)
                            | ~ r1(X9,X10) )
                        | ~ r1(X8,X9) )
                    | ~ r1(X7,X8) )
                | ~ r1(X6,X7) )
            | ~ r1(X0,X6) ) )
   => ( p100(sK22)
      & ~ p101(sK22)
      & ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( sP11(X5)
                          | ~ r1(X4,X5) )
                      | ~ r1(X3,X4) )
                  | ~ r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ r1(sK22,X1) )
      & ! [X6] :
          ( ! [X7] :
              ( ! [X8] :
                  ( ! [X9] :
                      ( ! [X10] :
                          ( p3(X10)
                          | ~ r1(X9,X10) )
                      | ~ r1(X8,X9) )
                  | ~ r1(X7,X8) )
              | ~ r1(X6,X7) )
          | ~ r1(sK22,X6) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f61,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( sP11(X5)
                          | ~ r1(X4,X5) )
                      | ~ r1(X3,X4) )
                  | ~ r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) )
      & ! [X6] :
          ( ! [X7] :
              ( ! [X8] :
                  ( ! [X9] :
                      ( ! [X10] :
                          ( p3(X10)
                          | ~ r1(X9,X10) )
                      | ~ r1(X8,X9) )
                  | ~ r1(X7,X8) )
              | ~ r1(X6,X7) )
          | ~ r1(X0,X6) ) ),
    inference(rectify,[],[f21]) ).

fof(f21,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( sP11(X5)
                          | ~ r1(X4,X5) )
                      | ~ r1(X3,X4) )
                  | ~ r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) )
      & ! [X28] :
          ( ! [X29] :
              ( ! [X30] :
                  ( ! [X31] :
                      ( ! [X32] :
                          ( p3(X32)
                          | ~ r1(X31,X32) )
                      | ~ r1(X30,X31) )
                  | ~ r1(X29,X30) )
              | ~ r1(X28,X29) )
          | ~ r1(X0,X28) ) ),
    inference(definition_folding,[],[f8,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).

fof(f9,plain,
    ! [X5] :
      ( ~ p103(X5)
      | p104(X5)
      | ( ? [X24] :
            ( p104(X24)
            & ~ p105(X24)
            & p5(X24)
            & r1(X5,X24) )
        & ? [X25] :
            ( p104(X25)
            & ~ p105(X25)
            & ~ p5(X25)
            & r1(X5,X25) ) )
      | ~ sP0(X5) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f10,plain,
    ! [X5] :
      ( ~ p102(X5)
      | p103(X5)
      | ( ? [X22] :
            ( p103(X22)
            & ~ p104(X22)
            & p4(X22)
            & r1(X5,X22) )
        & ? [X23] :
            ( p103(X23)
            & ~ p104(X23)
            & ~ p4(X23)
            & r1(X5,X23) ) )
      | ~ sP1(X5) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f12,plain,
    ! [X5] :
      ( ~ p100(X5)
      | p101(X5)
      | ( ? [X18] :
            ( p101(X18)
            & ~ p102(X18)
            & p2(X18)
            & r1(X5,X18) )
        & ? [X19] :
            ( p101(X19)
            & ~ p102(X19)
            & ~ p2(X19)
            & r1(X5,X19) ) )
      | ~ sP3(X5) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).

fof(f13,plain,
    ! [X5] :
      ( ~ p104(X5)
      | p105(X5)
      | ( ? [X26] :
            ( p105(X26)
            & p6(X26)
            & r1(X5,X26) )
        & ? [X27] :
            ( p105(X27)
            & ~ p6(X27)
            & r1(X5,X27) ) )
      | ~ sP4(X5) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f14,plain,
    ! [X5] :
      ( ~ p105(X5)
      | ( ( ~ p6(X5)
          | ! [X16] :
              ( ~ p105(X16)
              | p6(X16)
              | ~ r1(X5,X16) ) )
        & ( p6(X5)
          | ! [X17] :
              ( ~ p105(X17)
              | ~ p6(X17)
              | ~ r1(X5,X17) ) ) )
      | ~ sP5(X5) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f15,plain,
    ! [X5] :
      ( ~ p104(X5)
      | ( ( ~ p5(X5)
          | ! [X14] :
              ( ~ p104(X14)
              | p5(X14)
              | ~ r1(X5,X14) ) )
        & ( p5(X5)
          | ! [X15] :
              ( ~ p104(X15)
              | ~ p5(X15)
              | ~ r1(X5,X15) ) ) )
      | ~ sP6(X5) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).

fof(f16,plain,
    ! [X5] :
      ( ~ p103(X5)
      | ( ( ~ p4(X5)
          | ! [X12] :
              ( ~ p103(X12)
              | p4(X12)
              | ~ r1(X5,X12) ) )
        & ( p4(X5)
          | ! [X13] :
              ( ~ p103(X13)
              | ~ p4(X13)
              | ~ r1(X5,X13) ) ) )
      | ~ sP7(X5) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).

fof(f17,plain,
    ! [X5] :
      ( ~ p102(X5)
      | ( ( ~ p3(X5)
          | ! [X10] :
              ( ~ p102(X10)
              | p3(X10)
              | ~ r1(X5,X10) ) )
        & ( p3(X5)
          | ! [X11] :
              ( ~ p102(X11)
              | ~ p3(X11)
              | ~ r1(X5,X11) ) ) )
      | ~ sP8(X5) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f18,plain,
    ! [X5] :
      ( ~ p101(X5)
      | ( ( ~ p2(X5)
          | ! [X8] :
              ( ~ p101(X8)
              | p2(X8)
              | ~ r1(X5,X8) ) )
        & ( p2(X5)
          | ! [X9] :
              ( ~ p101(X9)
              | ~ p2(X9)
              | ~ r1(X5,X9) ) ) )
      | ~ sP9(X5) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f19,plain,
    ! [X5] :
      ( ~ p100(X5)
      | ( ( ~ p1(X5)
          | ! [X6] :
              ( ~ p100(X6)
              | p1(X6)
              | ~ r1(X5,X6) ) )
        & ( p1(X5)
          | ! [X7] :
              ( ~ p100(X7)
              | ~ p1(X7)
              | ~ r1(X5,X7) ) ) )
      | ~ sP10(X5) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).

fof(f20,plain,
    ! [X5] :
      ( ( ( ~ p101(X5)
          | p100(X5) )
        & ( ~ p102(X5)
          | p101(X5) )
        & ( ~ p103(X5)
          | p102(X5) )
        & ( ~ p104(X5)
          | p103(X5) )
        & ( ~ p105(X5)
          | p104(X5) )
        & sP10(X5)
        & sP9(X5)
        & sP8(X5)
        & sP7(X5)
        & sP6(X5)
        & sP5(X5)
        & sP3(X5)
        & sP2(X5)
        & sP1(X5)
        & sP0(X5)
        & sP4(X5) )
      | ~ sP11(X5) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).

fof(f8,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( ( ( ~ p101(X5)
                              | p100(X5) )
                            & ( ~ p102(X5)
                              | p101(X5) )
                            & ( ~ p103(X5)
                              | p102(X5) )
                            & ( ~ p104(X5)
                              | p103(X5) )
                            & ( ~ p105(X5)
                              | p104(X5) )
                            & ( ~ p100(X5)
                              | ( ( ~ p1(X5)
                                  | ! [X6] :
                                      ( ~ p100(X6)
                                      | p1(X6)
                                      | ~ r1(X5,X6) ) )
                                & ( p1(X5)
                                  | ! [X7] :
                                      ( ~ p100(X7)
                                      | ~ p1(X7)
                                      | ~ r1(X5,X7) ) ) ) )
                            & ( ~ p101(X5)
                              | ( ( ~ p2(X5)
                                  | ! [X8] :
                                      ( ~ p101(X8)
                                      | p2(X8)
                                      | ~ r1(X5,X8) ) )
                                & ( p2(X5)
                                  | ! [X9] :
                                      ( ~ p101(X9)
                                      | ~ p2(X9)
                                      | ~ r1(X5,X9) ) ) ) )
                            & ( ~ p102(X5)
                              | ( ( ~ p3(X5)
                                  | ! [X10] :
                                      ( ~ p102(X10)
                                      | p3(X10)
                                      | ~ r1(X5,X10) ) )
                                & ( p3(X5)
                                  | ! [X11] :
                                      ( ~ p102(X11)
                                      | ~ p3(X11)
                                      | ~ r1(X5,X11) ) ) ) )
                            & ( ~ p103(X5)
                              | ( ( ~ p4(X5)
                                  | ! [X12] :
                                      ( ~ p103(X12)
                                      | p4(X12)
                                      | ~ r1(X5,X12) ) )
                                & ( p4(X5)
                                  | ! [X13] :
                                      ( ~ p103(X13)
                                      | ~ p4(X13)
                                      | ~ r1(X5,X13) ) ) ) )
                            & ( ~ p104(X5)
                              | ( ( ~ p5(X5)
                                  | ! [X14] :
                                      ( ~ p104(X14)
                                      | p5(X14)
                                      | ~ r1(X5,X14) ) )
                                & ( p5(X5)
                                  | ! [X15] :
                                      ( ~ p104(X15)
                                      | ~ p5(X15)
                                      | ~ r1(X5,X15) ) ) ) )
                            & ( ~ p105(X5)
                              | ( ( ~ p6(X5)
                                  | ! [X16] :
                                      ( ~ p105(X16)
                                      | p6(X16)
                                      | ~ r1(X5,X16) ) )
                                & ( p6(X5)
                                  | ! [X17] :
                                      ( ~ p105(X17)
                                      | ~ p6(X17)
                                      | ~ r1(X5,X17) ) ) ) )
                            & ( ~ p100(X5)
                              | p101(X5)
                              | ( ? [X18] :
                                    ( p101(X18)
                                    & ~ p102(X18)
                                    & p2(X18)
                                    & r1(X5,X18) )
                                & ? [X19] :
                                    ( p101(X19)
                                    & ~ p102(X19)
                                    & ~ p2(X19)
                                    & r1(X5,X19) ) ) )
                            & ( ~ p101(X5)
                              | p102(X5)
                              | ( ? [X20] :
                                    ( p102(X20)
                                    & ~ p103(X20)
                                    & p3(X20)
                                    & r1(X5,X20) )
                                & ? [X21] :
                                    ( p102(X21)
                                    & ~ p103(X21)
                                    & ~ p3(X21)
                                    & r1(X5,X21) ) ) )
                            & ( ~ p102(X5)
                              | p103(X5)
                              | ( ? [X22] :
                                    ( p103(X22)
                                    & ~ p104(X22)
                                    & p4(X22)
                                    & r1(X5,X22) )
                                & ? [X23] :
                                    ( p103(X23)
                                    & ~ p104(X23)
                                    & ~ p4(X23)
                                    & r1(X5,X23) ) ) )
                            & ( ~ p103(X5)
                              | p104(X5)
                              | ( ? [X24] :
                                    ( p104(X24)
                                    & ~ p105(X24)
                                    & p5(X24)
                                    & r1(X5,X24) )
                                & ? [X25] :
                                    ( p104(X25)
                                    & ~ p105(X25)
                                    & ~ p5(X25)
                                    & r1(X5,X25) ) ) )
                            & ( ~ p104(X5)
                              | p105(X5)
                              | ( ? [X26] :
                                    ( p105(X26)
                                    & p6(X26)
                                    & r1(X5,X26) )
                                & ? [X27] :
                                    ( p105(X27)
                                    & ~ p6(X27)
                                    & r1(X5,X27) ) ) ) )
                          | ~ r1(X4,X5) )
                      | ~ r1(X3,X4) )
                  | ~ r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) )
      & ! [X28] :
          ( ! [X29] :
              ( ! [X30] :
                  ( ! [X31] :
                      ( ! [X32] :
                          ( p3(X32)
                          | ~ r1(X31,X32) )
                      | ~ r1(X30,X31) )
                  | ~ r1(X29,X30) )
              | ~ r1(X28,X29) )
          | ~ r1(X0,X28) ) ),
    inference(flattening,[],[f7]) ).

fof(f7,plain,
    ? [X0] :
      ( p100(X0)
      & ~ p101(X0)
      & ! [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( ! [X4] :
                      ( ! [X5] :
                          ( ( ( ~ p101(X5)
                              | p100(X5) )
                            & ( ~ p102(X5)
                              | p101(X5) )
                            & ( ~ p103(X5)
                              | p102(X5) )
                            & ( ~ p104(X5)
                              | p103(X5) )
                            & ( ~ p105(X5)
                              | p104(X5) )
                            & ( ~ p100(X5)
                              | ( ( ~ p1(X5)
                                  | ! [X6] :
                                      ( ~ p100(X6)
                                      | p1(X6)
                                      | ~ r1(X5,X6) ) )
                                & ( p1(X5)
                                  | ! [X7] :
                                      ( ~ p100(X7)
                                      | ~ p1(X7)
                                      | ~ r1(X5,X7) ) ) ) )
                            & ( ~ p101(X5)
                              | ( ( ~ p2(X5)
                                  | ! [X8] :
                                      ( ~ p101(X8)
                                      | p2(X8)
                                      | ~ r1(X5,X8) ) )
                                & ( p2(X5)
                                  | ! [X9] :
                                      ( ~ p101(X9)
                                      | ~ p2(X9)
                                      | ~ r1(X5,X9) ) ) ) )
                            & ( ~ p102(X5)
                              | ( ( ~ p3(X5)
                                  | ! [X10] :
                                      ( ~ p102(X10)
                                      | p3(X10)
                                      | ~ r1(X5,X10) ) )
                                & ( p3(X5)
                                  | ! [X11] :
                                      ( ~ p102(X11)
                                      | ~ p3(X11)
                                      | ~ r1(X5,X11) ) ) ) )
                            & ( ~ p103(X5)
                              | ( ( ~ p4(X5)
                                  | ! [X12] :
                                      ( ~ p103(X12)
                                      | p4(X12)
                                      | ~ r1(X5,X12) ) )
                                & ( p4(X5)
                                  | ! [X13] :
                                      ( ~ p103(X13)
                                      | ~ p4(X13)
                                      | ~ r1(X5,X13) ) ) ) )
                            & ( ~ p104(X5)
                              | ( ( ~ p5(X5)
                                  | ! [X14] :
                                      ( ~ p104(X14)
                                      | p5(X14)
                                      | ~ r1(X5,X14) ) )
                                & ( p5(X5)
                                  | ! [X15] :
                                      ( ~ p104(X15)
                                      | ~ p5(X15)
                                      | ~ r1(X5,X15) ) ) ) )
                            & ( ~ p105(X5)
                              | ( ( ~ p6(X5)
                                  | ! [X16] :
                                      ( ~ p105(X16)
                                      | p6(X16)
                                      | ~ r1(X5,X16) ) )
                                & ( p6(X5)
                                  | ! [X17] :
                                      ( ~ p105(X17)
                                      | ~ p6(X17)
                                      | ~ r1(X5,X17) ) ) ) )
                            & ( ~ p100(X5)
                              | p101(X5)
                              | ( ? [X18] :
                                    ( p101(X18)
                                    & ~ p102(X18)
                                    & p2(X18)
                                    & r1(X5,X18) )
                                & ? [X19] :
                                    ( p101(X19)
                                    & ~ p102(X19)
                                    & ~ p2(X19)
                                    & r1(X5,X19) ) ) )
                            & ( ~ p101(X5)
                              | p102(X5)
                              | ( ? [X20] :
                                    ( p102(X20)
                                    & ~ p103(X20)
                                    & p3(X20)
                                    & r1(X5,X20) )
                                & ? [X21] :
                                    ( p102(X21)
                                    & ~ p103(X21)
                                    & ~ p3(X21)
                                    & r1(X5,X21) ) ) )
                            & ( ~ p102(X5)
                              | p103(X5)
                              | ( ? [X22] :
                                    ( p103(X22)
                                    & ~ p104(X22)
                                    & p4(X22)
                                    & r1(X5,X22) )
                                & ? [X23] :
                                    ( p103(X23)
                                    & ~ p104(X23)
                                    & ~ p4(X23)
                                    & r1(X5,X23) ) ) )
                            & ( ~ p103(X5)
                              | p104(X5)
                              | ( ? [X24] :
                                    ( p104(X24)
                                    & ~ p105(X24)
                                    & p5(X24)
                                    & r1(X5,X24) )
                                & ? [X25] :
                                    ( p104(X25)
                                    & ~ p105(X25)
                                    & ~ p5(X25)
                                    & r1(X5,X25) ) ) )
                            & ( ~ p104(X5)
                              | p105(X5)
                              | ( ? [X26] :
                                    ( p105(X26)
                                    & p6(X26)
                                    & r1(X5,X26) )
                                & ? [X27] :
                                    ( p105(X27)
                                    & ~ p6(X27)
                                    & r1(X5,X27) ) ) ) )
                          | ~ r1(X4,X5) )
                      | ~ r1(X3,X4) )
                  | ~ r1(X2,X3) )
              | ~ r1(X1,X2) )
          | ~ r1(X0,X1) )
      & ! [X28] :
          ( ! [X29] :
              ( ! [X30] :
                  ( ! [X31] :
                      ( ! [X32] :
                          ( p3(X32)
                          | ~ r1(X31,X32) )
                      | ~ r1(X30,X31) )
                  | ~ r1(X29,X30) )
              | ~ r1(X28,X29) )
          | ~ r1(X0,X28) ) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,plain,
    ? [X0] :
      ~ ( ~ ( p100(X0)
            & ~ p101(X0)
            & ! [X1] :
                ( ! [X2] :
                    ( ! [X3] :
                        ( ! [X4] :
                            ( ! [X5] :
                                ( ( ( ~ p101(X5)
                                    | p100(X5) )
                                  & ( ~ p102(X5)
                                    | p101(X5) )
                                  & ( ~ p103(X5)
                                    | p102(X5) )
                                  & ( ~ p104(X5)
                                    | p103(X5) )
                                  & ( ~ p105(X5)
                                    | p104(X5) )
                                  & ( ~ p100(X5)
                                    | ( ( ~ p1(X5)
                                        | ! [X6] :
                                            ( ~ p100(X6)
                                            | p1(X6)
                                            | ~ r1(X5,X6) ) )
                                      & ( p1(X5)
                                        | ! [X7] :
                                            ( ~ p100(X7)
                                            | ~ p1(X7)
                                            | ~ r1(X5,X7) ) ) ) )
                                  & ( ~ p101(X5)
                                    | ( ( ~ p2(X5)
                                        | ! [X8] :
                                            ( ~ p101(X8)
                                            | p2(X8)
                                            | ~ r1(X5,X8) ) )
                                      & ( p2(X5)
                                        | ! [X9] :
                                            ( ~ p101(X9)
                                            | ~ p2(X9)
                                            | ~ r1(X5,X9) ) ) ) )
                                  & ( ~ p102(X5)
                                    | ( ( ~ p3(X5)
                                        | ! [X10] :
                                            ( ~ p102(X10)
                                            | p3(X10)
                                            | ~ r1(X5,X10) ) )
                                      & ( p3(X5)
                                        | ! [X11] :
                                            ( ~ p102(X11)
                                            | ~ p3(X11)
                                            | ~ r1(X5,X11) ) ) ) )
                                  & ( ~ p103(X5)
                                    | ( ( ~ p4(X5)
                                        | ! [X12] :
                                            ( ~ p103(X12)
                                            | p4(X12)
                                            | ~ r1(X5,X12) ) )
                                      & ( p4(X5)
                                        | ! [X13] :
                                            ( ~ p103(X13)
                                            | ~ p4(X13)
                                            | ~ r1(X5,X13) ) ) ) )
                                  & ( ~ p104(X5)
                                    | ( ( ~ p5(X5)
                                        | ! [X14] :
                                            ( ~ p104(X14)
                                            | p5(X14)
                                            | ~ r1(X5,X14) ) )
                                      & ( p5(X5)
                                        | ! [X15] :
                                            ( ~ p104(X15)
                                            | ~ p5(X15)
                                            | ~ r1(X5,X15) ) ) ) )
                                  & ( ~ p105(X5)
                                    | ( ( ~ p6(X5)
                                        | ! [X16] :
                                            ( ~ p105(X16)
                                            | p6(X16)
                                            | ~ r1(X5,X16) ) )
                                      & ( p6(X5)
                                        | ! [X17] :
                                            ( ~ p105(X17)
                                            | ~ p6(X17)
                                            | ~ r1(X5,X17) ) ) ) )
                                  & ( ~ ( p100(X5)
                                        & ~ p101(X5) )
                                    | ( ~ ! [X18] :
                                            ( ~ ( p101(X18)
                                                & ~ p102(X18)
                                                & p2(X18) )
                                            | ~ r1(X5,X18) )
                                      & ~ ! [X19] :
                                            ( ~ ( p101(X19)
                                                & ~ p102(X19)
                                                & ~ p2(X19) )
                                            | ~ r1(X5,X19) ) ) )
                                  & ( ~ ( p101(X5)
                                        & ~ p102(X5) )
                                    | ( ~ ! [X20] :
                                            ( ~ ( p102(X20)
                                                & ~ p103(X20)
                                                & p3(X20) )
                                            | ~ r1(X5,X20) )
                                      & ~ ! [X21] :
                                            ( ~ ( p102(X21)
                                                & ~ p103(X21)
                                                & ~ p3(X21) )
                                            | ~ r1(X5,X21) ) ) )
                                  & ( ~ ( p102(X5)
                                        & ~ p103(X5) )
                                    | ( ~ ! [X22] :
                                            ( ~ ( p103(X22)
                                                & ~ p104(X22)
                                                & p4(X22) )
                                            | ~ r1(X5,X22) )
                                      & ~ ! [X23] :
                                            ( ~ ( p103(X23)
                                                & ~ p104(X23)
                                                & ~ p4(X23) )
                                            | ~ r1(X5,X23) ) ) )
                                  & ( ~ ( p103(X5)
                                        & ~ p104(X5) )
                                    | ( ~ ! [X24] :
                                            ( ~ ( p104(X24)
                                                & ~ p105(X24)
                                                & p5(X24) )
                                            | ~ r1(X5,X24) )
                                      & ~ ! [X25] :
                                            ( ~ ( p104(X25)
                                                & ~ p105(X25)
                                                & ~ p5(X25) )
                                            | ~ r1(X5,X25) ) ) )
                                  & ( ~ ( p104(X5)
                                        & ~ p105(X5) )
                                    | ( ~ ! [X26] :
                                            ( ~ ( p105(X26)
                                                & p6(X26) )
                                            | ~ r1(X5,X26) )
                                      & ~ ! [X27] :
                                            ( ~ ( p105(X27)
                                                & ~ p6(X27) )
                                            | ~ r1(X5,X27) ) ) ) )
                                | ~ r1(X4,X5) )
                            | ~ r1(X3,X4) )
                        | ~ r1(X2,X3) )
                    | ~ r1(X1,X2) )
                | ~ r1(X0,X1) ) )
        | ~ ! [X28] :
              ( ! [X29] :
                  ( ! [X30] :
                      ( ! [X31] :
                          ( ! [X32] :
                              ( p3(X32)
                              | ~ r1(X31,X32) )
                          | ~ r1(X30,X31) )
                      | ~ r1(X29,X30) )
                  | ~ r1(X28,X29) )
              | ~ r1(X0,X28) ) ),
    inference(pure_predicate_removal,[],[f5]) ).

fof(f5,plain,
    ? [X0] :
      ~ ( ~ ( p100(X0)
            & ~ p101(X0)
            & ! [X1] :
                ( ! [X2] :
                    ( ! [X3] :
                        ( ! [X4] :
                            ( ! [X5] :
                                ( ( ( ~ p101(X5)
                                    | p100(X5) )
                                  & ( ~ p102(X5)
                                    | p101(X5) )
                                  & ( ~ p103(X5)
                                    | p102(X5) )
                                  & ( ~ p104(X5)
                                    | p103(X5) )
                                  & ( ~ p105(X5)
                                    | p104(X5) )
                                  & ( ~ p106(X5)
                                    | p105(X5) )
                                  & ( ~ p100(X5)
                                    | ( ( ~ p1(X5)
                                        | ! [X6] :
                                            ( ~ p100(X6)
                                            | p1(X6)
                                            | ~ r1(X5,X6) ) )
                                      & ( p1(X5)
                                        | ! [X7] :
                                            ( ~ p100(X7)
                                            | ~ p1(X7)
                                            | ~ r1(X5,X7) ) ) ) )
                                  & ( ~ p101(X5)
                                    | ( ( ~ p2(X5)
                                        | ! [X8] :
                                            ( ~ p101(X8)
                                            | p2(X8)
                                            | ~ r1(X5,X8) ) )
                                      & ( p2(X5)
                                        | ! [X9] :
                                            ( ~ p101(X9)
                                            | ~ p2(X9)
                                            | ~ r1(X5,X9) ) ) ) )
                                  & ( ~ p102(X5)
                                    | ( ( ~ p3(X5)
                                        | ! [X10] :
                                            ( ~ p102(X10)
                                            | p3(X10)
                                            | ~ r1(X5,X10) ) )
                                      & ( p3(X5)
                                        | ! [X11] :
                                            ( ~ p102(X11)
                                            | ~ p3(X11)
                                            | ~ r1(X5,X11) ) ) ) )
                                  & ( ~ p103(X5)
                                    | ( ( ~ p4(X5)
                                        | ! [X12] :
                                            ( ~ p103(X12)
                                            | p4(X12)
                                            | ~ r1(X5,X12) ) )
                                      & ( p4(X5)
                                        | ! [X13] :
                                            ( ~ p103(X13)
                                            | ~ p4(X13)
                                            | ~ r1(X5,X13) ) ) ) )
                                  & ( ~ p104(X5)
                                    | ( ( ~ p5(X5)
                                        | ! [X14] :
                                            ( ~ p104(X14)
                                            | p5(X14)
                                            | ~ r1(X5,X14) ) )
                                      & ( p5(X5)
                                        | ! [X15] :
                                            ( ~ p104(X15)
                                            | ~ p5(X15)
                                            | ~ r1(X5,X15) ) ) ) )
                                  & ( ~ p105(X5)
                                    | ( ( ~ p6(X5)
                                        | ! [X16] :
                                            ( ~ p105(X16)
                                            | p6(X16)
                                            | ~ r1(X5,X16) ) )
                                      & ( p6(X5)
                                        | ! [X17] :
                                            ( ~ p105(X17)
                                            | ~ p6(X17)
                                            | ~ r1(X5,X17) ) ) ) )
                                  & ( ~ ( p100(X5)
                                        & ~ p101(X5) )
                                    | ( ~ ! [X18] :
                                            ( ~ ( p101(X18)
                                                & ~ p102(X18)
                                                & p2(X18) )
                                            | ~ r1(X5,X18) )
                                      & ~ ! [X19] :
                                            ( ~ ( p101(X19)
                                                & ~ p102(X19)
                                                & ~ p2(X19) )
                                            | ~ r1(X5,X19) ) ) )
                                  & ( ~ ( p101(X5)
                                        & ~ p102(X5) )
                                    | ( ~ ! [X20] :
                                            ( ~ ( p102(X20)
                                                & ~ p103(X20)
                                                & p3(X20) )
                                            | ~ r1(X5,X20) )
                                      & ~ ! [X21] :
                                            ( ~ ( p102(X21)
                                                & ~ p103(X21)
                                                & ~ p3(X21) )
                                            | ~ r1(X5,X21) ) ) )
                                  & ( ~ ( p102(X5)
                                        & ~ p103(X5) )
                                    | ( ~ ! [X22] :
                                            ( ~ ( p103(X22)
                                                & ~ p104(X22)
                                                & p4(X22) )
                                            | ~ r1(X5,X22) )
                                      & ~ ! [X23] :
                                            ( ~ ( p103(X23)
                                                & ~ p104(X23)
                                                & ~ p4(X23) )
                                            | ~ r1(X5,X23) ) ) )
                                  & ( ~ ( p103(X5)
                                        & ~ p104(X5) )
                                    | ( ~ ! [X24] :
                                            ( ~ ( p104(X24)
                                                & ~ p105(X24)
                                                & p5(X24) )
                                            | ~ r1(X5,X24) )
                                      & ~ ! [X25] :
                                            ( ~ ( p104(X25)
                                                & ~ p105(X25)
                                                & ~ p5(X25) )
                                            | ~ r1(X5,X25) ) ) )
                                  & ( ~ ( p104(X5)
                                        & ~ p105(X5) )
                                    | ( ~ ! [X26] :
                                            ( ~ ( p105(X26)
                                                & ~ p106(X26)
                                                & p6(X26) )
                                            | ~ r1(X5,X26) )
                                      & ~ ! [X27] :
                                            ( ~ ( p105(X27)
                                                & ~ p106(X27)
                                                & ~ p6(X27) )
                                            | ~ r1(X5,X27) ) ) ) )
                                | ~ r1(X4,X5) )
                            | ~ r1(X3,X4) )
                        | ~ r1(X2,X3) )
                    | ~ r1(X1,X2) )
                | ~ r1(X0,X1) ) )
        | ~ ! [X28] :
              ( ! [X29] :
                  ( ! [X30] :
                      ( ! [X31] :
                          ( ! [X32] :
                              ( p3(X32)
                              | ~ r1(X31,X32) )
                          | ~ r1(X30,X31) )
                      | ~ r1(X29,X30) )
                  | ~ r1(X28,X29) )
              | ~ r1(X0,X28) ) ),
    inference(flattening,[],[f4]) ).

fof(f4,plain,
    ~ ~ ? [X0] :
          ~ ( ~ ( p100(X0)
                & ~ p101(X0)
                & ! [X1] :
                    ( ! [X2] :
                        ( ! [X3] :
                            ( ! [X4] :
                                ( ! [X5] :
                                    ( ( ( ~ p101(X5)
                                        | p100(X5) )
                                      & ( ~ p102(X5)
                                        | p101(X5) )
                                      & ( ~ p103(X5)
                                        | p102(X5) )
                                      & ( ~ p104(X5)
                                        | p103(X5) )
                                      & ( ~ p105(X5)
                                        | p104(X5) )
                                      & ( ~ p106(X5)
                                        | p105(X5) )
                                      & ( ~ p100(X5)
                                        | ( ( ~ p1(X5)
                                            | ! [X6] :
                                                ( ~ p100(X6)
                                                | p1(X6)
                                                | ~ r1(X5,X6) ) )
                                          & ( p1(X5)
                                            | ! [X7] :
                                                ( ~ p100(X7)
                                                | ~ p1(X7)
                                                | ~ r1(X5,X7) ) ) ) )
                                      & ( ~ p101(X5)
                                        | ( ( ~ p2(X5)
                                            | ! [X8] :
                                                ( ~ p101(X8)
                                                | p2(X8)
                                                | ~ r1(X5,X8) ) )
                                          & ( p2(X5)
                                            | ! [X9] :
                                                ( ~ p101(X9)
                                                | ~ p2(X9)
                                                | ~ r1(X5,X9) ) ) ) )
                                      & ( ~ p102(X5)
                                        | ( ( ~ p3(X5)
                                            | ! [X10] :
                                                ( ~ p102(X10)
                                                | p3(X10)
                                                | ~ r1(X5,X10) ) )
                                          & ( p3(X5)
                                            | ! [X11] :
                                                ( ~ p102(X11)
                                                | ~ p3(X11)
                                                | ~ r1(X5,X11) ) ) ) )
                                      & ( ~ p103(X5)
                                        | ( ( ~ p4(X5)
                                            | ! [X12] :
                                                ( ~ p103(X12)
                                                | p4(X12)
                                                | ~ r1(X5,X12) ) )
                                          & ( p4(X5)
                                            | ! [X13] :
                                                ( ~ p103(X13)
                                                | ~ p4(X13)
                                                | ~ r1(X5,X13) ) ) ) )
                                      & ( ~ p104(X5)
                                        | ( ( ~ p5(X5)
                                            | ! [X14] :
                                                ( ~ p104(X14)
                                                | p5(X14)
                                                | ~ r1(X5,X14) ) )
                                          & ( p5(X5)
                                            | ! [X15] :
                                                ( ~ p104(X15)
                                                | ~ p5(X15)
                                                | ~ r1(X5,X15) ) ) ) )
                                      & ( ~ p105(X5)
                                        | ( ( ~ p6(X5)
                                            | ! [X16] :
                                                ( ~ p105(X16)
                                                | p6(X16)
                                                | ~ r1(X5,X16) ) )
                                          & ( p6(X5)
                                            | ! [X17] :
                                                ( ~ p105(X17)
                                                | ~ p6(X17)
                                                | ~ r1(X5,X17) ) ) ) )
                                      & ( ~ ( p100(X5)
                                            & ~ p101(X5) )
                                        | ( ~ ! [X18] :
                                                ( ~ ( p101(X18)
                                                    & ~ p102(X18)
                                                    & p2(X18) )
                                                | ~ r1(X5,X18) )
                                          & ~ ! [X19] :
                                                ( ~ ( p101(X19)
                                                    & ~ p102(X19)
                                                    & ~ p2(X19) )
                                                | ~ r1(X5,X19) ) ) )
                                      & ( ~ ( p101(X5)
                                            & ~ p102(X5) )
                                        | ( ~ ! [X20] :
                                                ( ~ ( p102(X20)
                                                    & ~ p103(X20)
                                                    & p3(X20) )
                                                | ~ r1(X5,X20) )
                                          & ~ ! [X21] :
                                                ( ~ ( p102(X21)
                                                    & ~ p103(X21)
                                                    & ~ p3(X21) )
                                                | ~ r1(X5,X21) ) ) )
                                      & ( ~ ( p102(X5)
                                            & ~ p103(X5) )
                                        | ( ~ ! [X22] :
                                                ( ~ ( p103(X22)
                                                    & ~ p104(X22)
                                                    & p4(X22) )
                                                | ~ r1(X5,X22) )
                                          & ~ ! [X23] :
                                                ( ~ ( p103(X23)
                                                    & ~ p104(X23)
                                                    & ~ p4(X23) )
                                                | ~ r1(X5,X23) ) ) )
                                      & ( ~ ( p103(X5)
                                            & ~ p104(X5) )
                                        | ( ~ ! [X24] :
                                                ( ~ ( p104(X24)
                                                    & ~ p105(X24)
                                                    & p5(X24) )
                                                | ~ r1(X5,X24) )
                                          & ~ ! [X25] :
                                                ( ~ ( p104(X25)
                                                    & ~ p105(X25)
                                                    & ~ p5(X25) )
                                                | ~ r1(X5,X25) ) ) )
                                      & ( ~ ( p104(X5)
                                            & ~ p105(X5) )
                                        | ( ~ ! [X26] :
                                                ( ~ ( p105(X26)
                                                    & ~ p106(X26)
                                                    & p6(X26) )
                                                | ~ r1(X5,X26) )
                                          & ~ ! [X27] :
                                                ( ~ ( p105(X27)
                                                    & ~ p106(X27)
                                                    & ~ p6(X27) )
                                                | ~ r1(X5,X27) ) ) ) )
                                    | ~ r1(X4,X5) )
                                | ~ r1(X3,X4) )
                            | ~ r1(X2,X3) )
                        | ~ r1(X1,X2) )
                    | ~ r1(X0,X1) ) )
            | ~ ! [X28] :
                  ( ! [X29] :
                      ( ! [X30] :
                          ( ! [X31] :
                              ( ! [X32] :
                                  ( p3(X32)
                                  | ~ r1(X31,X32) )
                              | ~ r1(X30,X31) )
                          | ~ r1(X29,X30) )
                      | ~ r1(X28,X29) )
                  | ~ r1(X0,X28) ) ),
    inference(rectify,[],[f3]) ).

fof(f3,negated_conjecture,
    ~ ~ ? [X0] :
          ~ ( ~ ( p100(X0)
                & ~ p101(X0)
                & ! [X1] :
                    ( ! [X0] :
                        ( ! [X1] :
                            ( ! [X0] :
                                ( ! [X1] :
                                    ( ( ( ~ p101(X1)
                                        | p100(X1) )
                                      & ( ~ p102(X1)
                                        | p101(X1) )
                                      & ( ~ p103(X1)
                                        | p102(X1) )
                                      & ( ~ p104(X1)
                                        | p103(X1) )
                                      & ( ~ p105(X1)
                                        | p104(X1) )
                                      & ( ~ p106(X1)
                                        | p105(X1) )
                                      & ( ~ p100(X1)
                                        | ( ( ~ p1(X1)
                                            | ! [X0] :
                                                ( ~ p100(X0)
                                                | p1(X0)
                                                | ~ r1(X1,X0) ) )
                                          & ( p1(X1)
                                            | ! [X0] :
                                                ( ~ p100(X0)
                                                | ~ p1(X0)
                                                | ~ r1(X1,X0) ) ) ) )
                                      & ( ~ p101(X1)
                                        | ( ( ~ p2(X1)
                                            | ! [X0] :
                                                ( ~ p101(X0)
                                                | p2(X0)
                                                | ~ r1(X1,X0) ) )
                                          & ( p2(X1)
                                            | ! [X0] :
                                                ( ~ p101(X0)
                                                | ~ p2(X0)
                                                | ~ r1(X1,X0) ) ) ) )
                                      & ( ~ p102(X1)
                                        | ( ( ~ p3(X1)
                                            | ! [X0] :
                                                ( ~ p102(X0)
                                                | p3(X0)
                                                | ~ r1(X1,X0) ) )
                                          & ( p3(X1)
                                            | ! [X0] :
                                                ( ~ p102(X0)
                                                | ~ p3(X0)
                                                | ~ r1(X1,X0) ) ) ) )
                                      & ( ~ p103(X1)
                                        | ( ( ~ p4(X1)
                                            | ! [X0] :
                                                ( ~ p103(X0)
                                                | p4(X0)
                                                | ~ r1(X1,X0) ) )
                                          & ( p4(X1)
                                            | ! [X0] :
                                                ( ~ p103(X0)
                                                | ~ p4(X0)
                                                | ~ r1(X1,X0) ) ) ) )
                                      & ( ~ p104(X1)
                                        | ( ( ~ p5(X1)
                                            | ! [X0] :
                                                ( ~ p104(X0)
                                                | p5(X0)
                                                | ~ r1(X1,X0) ) )
                                          & ( p5(X1)
                                            | ! [X0] :
                                                ( ~ p104(X0)
                                                | ~ p5(X0)
                                                | ~ r1(X1,X0) ) ) ) )
                                      & ( ~ p105(X1)
                                        | ( ( ~ p6(X1)
                                            | ! [X0] :
                                                ( ~ p105(X0)
                                                | p6(X0)
                                                | ~ r1(X1,X0) ) )
                                          & ( p6(X1)
                                            | ! [X0] :
                                                ( ~ p105(X0)
                                                | ~ p6(X0)
                                                | ~ r1(X1,X0) ) ) ) )
                                      & ( ~ ( p100(X1)
                                            & ~ p101(X1) )
                                        | ( ~ ! [X0] :
                                                ( ~ ( p101(X0)
                                                    & ~ p102(X0)
                                                    & p2(X0) )
                                                | ~ r1(X1,X0) )
                                          & ~ ! [X0] :
                                                ( ~ ( p101(X0)
                                                    & ~ p102(X0)
                                                    & ~ p2(X0) )
                                                | ~ r1(X1,X0) ) ) )
                                      & ( ~ ( p101(X1)
                                            & ~ p102(X1) )
                                        | ( ~ ! [X0] :
                                                ( ~ ( p102(X0)
                                                    & ~ p103(X0)
                                                    & p3(X0) )
                                                | ~ r1(X1,X0) )
                                          & ~ ! [X0] :
                                                ( ~ ( p102(X0)
                                                    & ~ p103(X0)
                                                    & ~ p3(X0) )
                                                | ~ r1(X1,X0) ) ) )
                                      & ( ~ ( p102(X1)
                                            & ~ p103(X1) )
                                        | ( ~ ! [X0] :
                                                ( ~ ( p103(X0)
                                                    & ~ p104(X0)
                                                    & p4(X0) )
                                                | ~ r1(X1,X0) )
                                          & ~ ! [X0] :
                                                ( ~ ( p103(X0)
                                                    & ~ p104(X0)
                                                    & ~ p4(X0) )
                                                | ~ r1(X1,X0) ) ) )
                                      & ( ~ ( p103(X1)
                                            & ~ p104(X1) )
                                        | ( ~ ! [X0] :
                                                ( ~ ( p104(X0)
                                                    & ~ p105(X0)
                                                    & p5(X0) )
                                                | ~ r1(X1,X0) )
                                          & ~ ! [X0] :
                                                ( ~ ( p104(X0)
                                                    & ~ p105(X0)
                                                    & ~ p5(X0) )
                                                | ~ r1(X1,X0) ) ) )
                                      & ( ~ ( p104(X1)
                                            & ~ p105(X1) )
                                        | ( ~ ! [X0] :
                                                ( ~ ( p105(X0)
                                                    & ~ p106(X0)
                                                    & p6(X0) )
                                                | ~ r1(X1,X0) )
                                          & ~ ! [X0] :
                                                ( ~ ( p105(X0)
                                                    & ~ p106(X0)
                                                    & ~ p6(X0) )
                                                | ~ r1(X1,X0) ) ) ) )
                                    | ~ r1(X0,X1) )
                                | ~ r1(X1,X0) )
                            | ~ r1(X0,X1) )
                        | ~ r1(X1,X0) )
                    | ~ r1(X0,X1) ) )
            | ~ ! [X1] :
                  ( ! [X0] :
                      ( ! [X1] :
                          ( ! [X0] :
                              ( ! [X1] :
                                  ( p3(X1)
                                  | ~ r1(X0,X1) )
                              | ~ r1(X1,X0) )
                          | ~ r1(X0,X1) )
                      | ~ r1(X1,X0) )
                  | ~ r1(X0,X1) ) ),
    inference(negated_conjecture,[],[f2]) ).

fof(f2,conjecture,
    ~ ? [X0] :
        ~ ( ~ ( p100(X0)
              & ~ p101(X0)
              & ! [X1] :
                  ( ! [X0] :
                      ( ! [X1] :
                          ( ! [X0] :
                              ( ! [X1] :
                                  ( ( ( ~ p101(X1)
                                      | p100(X1) )
                                    & ( ~ p102(X1)
                                      | p101(X1) )
                                    & ( ~ p103(X1)
                                      | p102(X1) )
                                    & ( ~ p104(X1)
                                      | p103(X1) )
                                    & ( ~ p105(X1)
                                      | p104(X1) )
                                    & ( ~ p106(X1)
                                      | p105(X1) )
                                    & ( ~ p100(X1)
                                      | ( ( ~ p1(X1)
                                          | ! [X0] :
                                              ( ~ p100(X0)
                                              | p1(X0)
                                              | ~ r1(X1,X0) ) )
                                        & ( p1(X1)
                                          | ! [X0] :
                                              ( ~ p100(X0)
                                              | ~ p1(X0)
                                              | ~ r1(X1,X0) ) ) ) )
                                    & ( ~ p101(X1)
                                      | ( ( ~ p2(X1)
                                          | ! [X0] :
                                              ( ~ p101(X0)
                                              | p2(X0)
                                              | ~ r1(X1,X0) ) )
                                        & ( p2(X1)
                                          | ! [X0] :
                                              ( ~ p101(X0)
                                              | ~ p2(X0)
                                              | ~ r1(X1,X0) ) ) ) )
                                    & ( ~ p102(X1)
                                      | ( ( ~ p3(X1)
                                          | ! [X0] :
                                              ( ~ p102(X0)
                                              | p3(X0)
                                              | ~ r1(X1,X0) ) )
                                        & ( p3(X1)
                                          | ! [X0] :
                                              ( ~ p102(X0)
                                              | ~ p3(X0)
                                              | ~ r1(X1,X0) ) ) ) )
                                    & ( ~ p103(X1)
                                      | ( ( ~ p4(X1)
                                          | ! [X0] :
                                              ( ~ p103(X0)
                                              | p4(X0)
                                              | ~ r1(X1,X0) ) )
                                        & ( p4(X1)
                                          | ! [X0] :
                                              ( ~ p103(X0)
                                              | ~ p4(X0)
                                              | ~ r1(X1,X0) ) ) ) )
                                    & ( ~ p104(X1)
                                      | ( ( ~ p5(X1)
                                          | ! [X0] :
                                              ( ~ p104(X0)
                                              | p5(X0)
                                              | ~ r1(X1,X0) ) )
                                        & ( p5(X1)
                                          | ! [X0] :
                                              ( ~ p104(X0)
                                              | ~ p5(X0)
                                              | ~ r1(X1,X0) ) ) ) )
                                    & ( ~ p105(X1)
                                      | ( ( ~ p6(X1)
                                          | ! [X0] :
                                              ( ~ p105(X0)
                                              | p6(X0)
                                              | ~ r1(X1,X0) ) )
                                        & ( p6(X1)
                                          | ! [X0] :
                                              ( ~ p105(X0)
                                              | ~ p6(X0)
                                              | ~ r1(X1,X0) ) ) ) )
                                    & ( ~ ( p100(X1)
                                          & ~ p101(X1) )
                                      | ( ~ ! [X0] :
                                              ( ~ ( p101(X0)
                                                  & ~ p102(X0)
                                                  & p2(X0) )
                                              | ~ r1(X1,X0) )
                                        & ~ ! [X0] :
                                              ( ~ ( p101(X0)
                                                  & ~ p102(X0)
                                                  & ~ p2(X0) )
                                              | ~ r1(X1,X0) ) ) )
                                    & ( ~ ( p101(X1)
                                          & ~ p102(X1) )
                                      | ( ~ ! [X0] :
                                              ( ~ ( p102(X0)
                                                  & ~ p103(X0)
                                                  & p3(X0) )
                                              | ~ r1(X1,X0) )
                                        & ~ ! [X0] :
                                              ( ~ ( p102(X0)
                                                  & ~ p103(X0)
                                                  & ~ p3(X0) )
                                              | ~ r1(X1,X0) ) ) )
                                    & ( ~ ( p102(X1)
                                          & ~ p103(X1) )
                                      | ( ~ ! [X0] :
                                              ( ~ ( p103(X0)
                                                  & ~ p104(X0)
                                                  & p4(X0) )
                                              | ~ r1(X1,X0) )
                                        & ~ ! [X0] :
                                              ( ~ ( p103(X0)
                                                  & ~ p104(X0)
                                                  & ~ p4(X0) )
                                              | ~ r1(X1,X0) ) ) )
                                    & ( ~ ( p103(X1)
                                          & ~ p104(X1) )
                                      | ( ~ ! [X0] :
                                              ( ~ ( p104(X0)
                                                  & ~ p105(X0)
                                                  & p5(X0) )
                                              | ~ r1(X1,X0) )
                                        & ~ ! [X0] :
                                              ( ~ ( p104(X0)
                                                  & ~ p105(X0)
                                                  & ~ p5(X0) )
                                              | ~ r1(X1,X0) ) ) )
                                    & ( ~ ( p104(X1)
                                          & ~ p105(X1) )
                                      | ( ~ ! [X0] :
                                              ( ~ ( p105(X0)
                                                  & ~ p106(X0)
                                                  & p6(X0) )
                                              | ~ r1(X1,X0) )
                                        & ~ ! [X0] :
                                              ( ~ ( p105(X0)
                                                  & ~ p106(X0)
                                                  & ~ p6(X0) )
                                              | ~ r1(X1,X0) ) ) ) )
                                  | ~ r1(X0,X1) )
                              | ~ r1(X1,X0) )
                          | ~ r1(X0,X1) )
                      | ~ r1(X1,X0) )
                  | ~ r1(X0,X1) ) )
          | ~ ! [X1] :
                ( ! [X0] :
                    ( ! [X1] :
                        ( ! [X0] :
                            ( ! [X1] :
                                ( p3(X1)
                                | ~ r1(X0,X1) )
                            | ~ r1(X1,X0) )
                        | ~ r1(X0,X1) )
                    | ~ r1(X1,X0) )
                | ~ r1(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1UDa9OQGUA/Vampire---4.8_15215',main) ).

fof(f281,plain,
    sP2(sK15(sK22)),
    inference(unit_resulting_resolution,[],[f253,f67]) ).

fof(f67,plain,
    ! [X0] :
      ( ~ sP11(X0)
      | sP2(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0] :
      ( ( ( ~ p101(X0)
          | p100(X0) )
        & ( ~ p102(X0)
          | p101(X0) )
        & ( ~ p103(X0)
          | p102(X0) )
        & ( ~ p104(X0)
          | p103(X0) )
        & ( ~ p105(X0)
          | p104(X0) )
        & sP10(X0)
        & sP9(X0)
        & sP8(X0)
        & sP7(X0)
        & sP6(X0)
        & sP5(X0)
        & sP3(X0)
        & sP2(X0)
        & sP1(X0)
        & sP0(X0)
        & sP4(X0) )
      | ~ sP11(X0) ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ! [X5] :
      ( ( ( ~ p101(X5)
          | p100(X5) )
        & ( ~ p102(X5)
          | p101(X5) )
        & ( ~ p103(X5)
          | p102(X5) )
        & ( ~ p104(X5)
          | p103(X5) )
        & ( ~ p105(X5)
          | p104(X5) )
        & sP10(X5)
        & sP9(X5)
        & sP8(X5)
        & sP7(X5)
        & sP6(X5)
        & sP5(X5)
        & sP3(X5)
        & sP2(X5)
        & sP1(X5)
        & sP0(X5)
        & sP4(X5) )
      | ~ sP11(X5) ),
    inference(nnf_transformation,[],[f20]) ).

fof(f253,plain,
    sP11(sK15(sK22)),
    inference(unit_resulting_resolution,[],[f134,f134,f194,f184]) ).

fof(f184,plain,
    ! [X2,X0,X1] :
      ( ~ r1(sK22,X0)
      | ~ r1(X0,X1)
      | ~ r1(X1,X2)
      | sP11(X2) ),
    inference(resolution,[],[f138,f134]) ).

fof(f138,plain,
    ! [X2,X3,X0,X1] :
      ( ~ r1(sK22,X3)
      | ~ r1(X2,X0)
      | ~ r1(X3,X2)
      | ~ r1(X0,X1)
      | sP11(X1) ),
    inference(resolution,[],[f131,f134]) ).

fof(f131,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ r1(sK22,X1)
      | ~ r1(X4,X5)
      | ~ r1(X3,X4)
      | ~ r1(X2,X3)
      | ~ r1(X1,X2)
      | sP11(X5) ),
    inference(cnf_transformation,[],[f63]) ).

fof(f134,plain,
    ! [X0] : r1(X0,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0] : r1(X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.1UDa9OQGUA/Vampire---4.8_15215',reflexivity) ).

fof(f196,plain,
    ~ p102(sK15(sK22)),
    inference(unit_resulting_resolution,[],[f132,f133,f143,f100]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ p102(sK15(X0))
      | p101(X0)
      | ~ p100(X0)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | ( p101(sK14(X0))
        & ~ p102(sK14(X0))
        & p2(sK14(X0))
        & r1(X0,sK14(X0))
        & p101(sK15(X0))
        & ~ p102(sK15(X0))
        & ~ p2(sK15(X0))
        & r1(X0,sK15(X0)) )
      | ~ sP3(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f42,f44,f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ? [X1] :
          ( p101(X1)
          & ~ p102(X1)
          & p2(X1)
          & r1(X0,X1) )
     => ( p101(sK14(X0))
        & ~ p102(sK14(X0))
        & p2(sK14(X0))
        & r1(X0,sK14(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f44,plain,
    ! [X0] :
      ( ? [X2] :
          ( p101(X2)
          & ~ p102(X2)
          & ~ p2(X2)
          & r1(X0,X2) )
     => ( p101(sK15(X0))
        & ~ p102(sK15(X0))
        & ~ p2(sK15(X0))
        & r1(X0,sK15(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f42,plain,
    ! [X0] :
      ( ~ p100(X0)
      | p101(X0)
      | ( ? [X1] :
            ( p101(X1)
            & ~ p102(X1)
            & p2(X1)
            & r1(X0,X1) )
        & ? [X2] :
            ( p101(X2)
            & ~ p102(X2)
            & ~ p2(X2)
            & r1(X0,X2) ) )
      | ~ sP3(X0) ),
    inference(rectify,[],[f41]) ).

fof(f41,plain,
    ! [X5] :
      ( ~ p100(X5)
      | p101(X5)
      | ( ? [X18] :
            ( p101(X18)
            & ~ p102(X18)
            & p2(X18)
            & r1(X5,X18) )
        & ? [X19] :
            ( p101(X19)
            & ~ p102(X19)
            & ~ p2(X19)
            & r1(X5,X19) ) )
      | ~ sP3(X5) ),
    inference(nnf_transformation,[],[f12]) ).

fof(f143,plain,
    sP3(sK22),
    inference(unit_resulting_resolution,[],[f137,f68]) ).

fof(f68,plain,
    ! [X0] :
      ( ~ sP11(X0)
      | sP3(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f137,plain,
    sP11(sK22),
    inference(unit_resulting_resolution,[],[f134,f134,f134,f134,f134,f131]) ).

fof(f133,plain,
    p100(sK22),
    inference(cnf_transformation,[],[f63]) ).

fof(f132,plain,
    ~ p101(sK22),
    inference(cnf_transformation,[],[f63]) ).

fof(f197,plain,
    p101(sK15(sK22)),
    inference(unit_resulting_resolution,[],[f132,f133,f143,f101]) ).

fof(f101,plain,
    ! [X0] :
      ( p101(sK15(X0))
      | p101(X0)
      | ~ p100(X0)
      | ~ sP3(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f194,plain,
    r1(sK22,sK15(sK22)),
    inference(unit_resulting_resolution,[],[f133,f132,f143,f98]) ).

fof(f98,plain,
    ! [X0] :
      ( ~ sP3(X0)
      | p101(X0)
      | r1(X0,sK15(X0))
      | ~ p100(X0) ),
    inference(cnf_transformation,[],[f45]) ).

fof(f382,plain,
    r1(sK15(sK22),sK17(sK15(sK22))),
    inference(unit_resulting_resolution,[],[f197,f196,f281,f106]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ sP2(X0)
      | p102(X0)
      | r1(X0,sK17(X0))
      | ~ p101(X0) ),
    inference(cnf_transformation,[],[f50]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : LCL656+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Apr 30 16:37:33 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.13/0.33  This is a FOF_THM_RFO_NEQ problem
% 0.13/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.1UDa9OQGUA/Vampire---4.8_15215
% 0.56/0.76  % (15329)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.56/0.76  % (15327)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.56/0.76  % (15328)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.56/0.76  % (15332)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.56/0.76  % (15330)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.56/0.76  % (15331)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.56/0.76  % (15333)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.56/0.76  % (15334)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.76  % (15334)Refutation not found, incomplete strategy% (15334)------------------------------
% 0.62/0.76  % (15334)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.76  % (15334)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.76  
% 0.62/0.76  % (15334)Memory used [KB]: 1130
% 0.62/0.76  % (15334)Time elapsed: 0.002 s
% 0.62/0.76  % (15334)Instructions burned: 5 (million)
% 0.62/0.76  % (15334)------------------------------
% 0.62/0.76  % (15334)------------------------------
% 0.62/0.77  % (15331)Refutation not found, incomplete strategy% (15331)------------------------------
% 0.62/0.77  % (15331)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77  % (15331)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77  
% 0.62/0.77  % (15331)Memory used [KB]: 1227
% 0.62/0.77  % (15331)Time elapsed: 0.003 s
% 0.62/0.77  % (15331)Instructions burned: 8 (million)
% 0.62/0.77  % (15331)------------------------------
% 0.62/0.77  % (15331)------------------------------
% 0.62/0.77  % (15335)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.77  % (15330)First to succeed.
% 0.62/0.77  % (15336)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.77  % (15330)Refutation found. Thanks to Tanya!
% 0.62/0.77  % SZS status Theorem for Vampire---4
% 0.62/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.77  % (15330)------------------------------
% 0.62/0.77  % (15330)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.77  % (15330)Termination reason: Refutation
% 0.62/0.77  
% 0.62/0.77  % (15330)Memory used [KB]: 1234
% 0.62/0.77  % (15330)Time elapsed: 0.007 s
% 0.62/0.77  % (15330)Instructions burned: 24 (million)
% 0.62/0.77  % (15330)------------------------------
% 0.62/0.77  % (15330)------------------------------
% 0.62/0.77  % (15323)Success in time 0.429 s
% 0.62/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------