TSTP Solution File: NUN060+1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUN060+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n026.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 : Tue Apr 30 20:36:18 EDT 2024

% Result   : Theorem 0.11s 0.34s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (   8 unt;   0 def)
%            Number of atoms       :   91 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  110 (  43   ~;  33   |;  34   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Maximal term depth    :    7 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   0 con; 1-2 aty)
%            Number of variables   :  117 (  90   !;  27   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X20] : id(X20,X20),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [X1,X8] :
    ? [Y4] :
      ( ? [Y5] :
          ( id(Y5,Y4)
          & ? [Y15] :
              ( r2(X8,Y15)
              & r3(X1,Y15,Y5) ) )
      & ? [Y7] :
          ( r2(Y7,Y4)
          & r3(X1,X8,Y7) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X2,X9] :
    ? [Y2] :
      ( ? [Y3] :
          ( id(Y3,Y2)
          & ? [Y14] :
              ( r2(X9,Y14)
              & r4(X2,Y14,Y3) ) )
      & ? [Y6] :
          ( r3(Y6,X2,Y2)
          & r4(X2,X9,Y6) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X5] :
    ? [Y8] :
      ( ? [Y17] :
          ( r1(Y17)
          & r4(X5,Y17,Y8) )
      & ? [Y18] :
          ( id(Y8,Y18)
          & r1(Y18) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,conjecture,
    ? [Y1,Y2,Y3] :
      ( id(Y3,Y1)
      & ? [Y4] :
          ( r3(Y2,Y4,Y3)
          & ? [Y5] :
              ( r2(Y5,Y4)
              & ? [Y6] :
                  ( r2(Y6,Y5)
                  & ? [Y7] :
                      ( r2(Y7,Y6)
                      & ? [Y8] :
                          ( r1(Y8)
                          & r2(Y8,Y7) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ ? [Y1,Y2,Y3] :
        ( id(Y3,Y1)
        & ? [Y4] :
            ( r3(Y2,Y4,Y3)
            & ? [Y5] :
                ( r2(Y5,Y4)
                & ? [Y6] :
                    ( r2(Y6,Y5)
                    & ? [Y7] :
                        ( r2(Y7,Y6)
                        & ? [Y8] :
                            ( r1(Y8)
                            & r2(Y8,Y7) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f41,plain,
    ! [X0] : id(X0,X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f61,plain,
    ! [X1,X8] :
      ( id(sk0_5(X8,X1),sk0_4(X8,X1))
      & r2(X8,sk0_6(X8,X1))
      & r3(X1,sk0_6(X8,X1),sk0_5(X8,X1))
      & r2(sk0_7(X8,X1),sk0_4(X8,X1))
      & r3(X1,X8,sk0_7(X8,X1)) ),
    inference(skolemization,[status(esa)],[f12]) ).

fof(f63,plain,
    ! [X0,X1] : r2(X0,sk0_6(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f61]) ).

fof(f66,plain,
    ! [X0,X1] : r3(X0,X1,sk0_7(X1,X0)),
    inference(cnf_transformation,[status(esa)],[f61]) ).

fof(f67,plain,
    ! [X2,X9] :
      ( id(sk0_9(X9,X2),sk0_8(X9,X2))
      & r2(X9,sk0_10(X9,X2))
      & r4(X2,sk0_10(X9,X2),sk0_9(X9,X2))
      & r3(sk0_11(X9,X2),X2,sk0_8(X9,X2))
      & r4(X2,X9,sk0_11(X9,X2)) ),
    inference(skolemization,[status(esa)],[f13]) ).

fof(f69,plain,
    ! [X0,X1] : r2(X0,sk0_10(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f67]) ).

fof(f78,plain,
    ! [X5] :
      ( r1(sk0_15(X5))
      & r4(X5,sk0_15(X5),sk0_14(X5))
      & id(sk0_14(X5),sk0_16(X5))
      & r1(sk0_16(X5)) ),
    inference(skolemization,[status(esa)],[f16]) ).

fof(f82,plain,
    ! [X0] : r1(sk0_16(X0)),
    inference(cnf_transformation,[status(esa)],[f78]) ).

fof(f91,plain,
    ! [Y1,Y2,Y3] :
      ( ~ id(Y3,Y1)
      | ! [Y4] :
          ( ~ r3(Y2,Y4,Y3)
          | ! [Y5] :
              ( ~ r2(Y5,Y4)
              | ! [Y6] :
                  ( ~ r2(Y6,Y5)
                  | ! [Y7] :
                      ( ~ r2(Y7,Y6)
                      | ! [Y8] :
                          ( ~ r1(Y8)
                          | ~ r2(Y8,Y7) ) ) ) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f20]) ).

fof(f92,plain,
    ! [Y3] :
      ( ! [Y1] : ~ id(Y3,Y1)
      | ! [Y4] :
          ( ! [Y2] : ~ r3(Y2,Y4,Y3)
          | ! [Y5] :
              ( ~ r2(Y5,Y4)
              | ! [Y6] :
                  ( ~ r2(Y6,Y5)
                  | ! [Y7] :
                      ( ~ r2(Y7,Y6)
                      | ! [Y8] :
                          ( ~ r1(Y8)
                          | ~ r2(Y8,Y7) ) ) ) ) ) ),
    inference(miniscoping,[status(esa)],[f91]) ).

fof(f93,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ id(X0,X1)
      | ~ r3(X2,X3,X0)
      | ~ r2(X4,X3)
      | ~ r2(X5,X4)
      | ~ r2(X6,X5)
      | ~ r1(X7)
      | ~ r2(X7,X6) ),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ id(X0,X1)
      | ~ r3(X2,X3,X0)
      | ~ r2(X4,X3)
      | ~ r2(X5,X4)
      | ~ r2(X6,X5)
      | ~ r2(sk0_16(X7),X6) ),
    inference(resolution,[status(thm)],[f82,f93]) ).

fof(f127,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ id(X0,X1)
      | ~ r3(X2,X3,X0)
      | ~ r2(X4,X3)
      | ~ r2(X5,X4)
      | ~ r2(sk0_6(sk0_16(X6),X7),X5) ),
    inference(resolution,[status(thm)],[f63,f126]) ).

fof(f144,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ id(X0,X1)
      | ~ r3(X2,X3,X0)
      | ~ r2(X4,X3)
      | ~ r2(sk0_10(sk0_6(sk0_16(X5),X6),X7),X4) ),
    inference(resolution,[status(thm)],[f127,f69]) ).

fof(f146,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ id(X0,X1)
      | ~ r3(X2,X3,X0)
      | ~ r2(sk0_10(sk0_10(sk0_6(sk0_16(X4),X5),X6),X7),X3) ),
    inference(resolution,[status(thm)],[f144,f69]) ).

fof(f148,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ id(X0,X1)
      | ~ r3(X2,sk0_10(sk0_10(sk0_10(sk0_6(sk0_16(X3),X4),X5),X6),X7),X0) ),
    inference(resolution,[status(thm)],[f146,f69]) ).

fof(f150,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] : ~ id(sk0_7(sk0_10(sk0_10(sk0_10(sk0_6(sk0_16(X0),X1),X2),X3),X4),X5),X6),
    inference(resolution,[status(thm)],[f148,f66]) ).

fof(f151,plain,
    $false,
    inference(resolution,[status(thm)],[f150,f41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUN060+1 : TPTP v8.1.2. Released v7.3.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n026.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Apr 29 22:58:49 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.11/0.34  % Drodi V3.6.0
% 0.11/0.34  % Refutation found
% 0.11/0.34  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.35  % Elapsed time: 0.016998 seconds
% 0.11/0.35  % CPU time: 0.042680 seconds
% 0.11/0.35  % Total memory used: 2.646 MB
% 0.11/0.35  % Net memory used: 2.626 MB
%------------------------------------------------------------------------------