TSTP Solution File: SYN716-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN716-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 20:52:53 EDT 2024

% Result   : Unsatisfiable 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   30 (  13 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   58 (  30   ~;  28   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  12 con; 0-2 aty)
%            Number of variables   :   77 (  77   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,negated_conjecture,
    ! [X92] : p32(X92,X92),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    ! [X44] : p2(X44,X44),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f34,negated_conjecture,
    ~ p62(c67,c72),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f68,negated_conjecture,
    ! [X199,X200,X202,X201] :
      ( p62(X199,X200)
      | ~ p4(X202,X199)
      | ~ p62(X202,X201)
      | ~ p32(X201,X200) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f86,negated_conjecture,
    ! [X123,X124,X125,X126] :
      ( p4(f5(X123,X124),f5(X125,X126))
      | ~ p2(X123,X125)
      | ~ p3(X124,X126) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f97,negated_conjecture,
    ! [X203,X204,X205,X206] :
      ( p62(X203,X204)
      | ~ p62(f5(c64,f16(f19(f21(c66,X203),X205),X206)),X204) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f99,negated_conjecture,
    ! [X7,X12,X8,X9,X10,X11] :
      ( p62(X7,X12)
      | ~ p62(f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11),X12) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f100,negated_conjecture,
    p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f106,negated_conjecture,
    ! [X7,X8,X9,X10,X11] : p3(f8(f11(f13(c65,f16(f19(f21(c66,X7),X8),X9)),X10),X11),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11)),f43(f45(f47(f49(f51(c75,X7),X8),X9),X10),X11)),f53(f55(f57(f59(f61(c76,X7),X8),X9),X10),X11))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f126,plain,
    ! [X0] : p32(X0,X0),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f134,plain,
    ! [X0] : p2(X0,X0),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f140,plain,
    ~ p62(c67,c72),
    inference(cnf_transformation,[status(esa)],[f34]) ).

fof(f207,plain,
    ! [X200,X201] :
      ( ! [X202] :
          ( ! [X199] :
              ( p62(X199,X200)
              | ~ p4(X202,X199) )
          | ~ p62(X202,X201) )
      | ~ p32(X201,X200) ),
    inference(miniscoping,[status(esa)],[f68]) ).

fof(f208,plain,
    ! [X0,X1,X2,X3] :
      ( p62(X0,X1)
      | ~ p4(X2,X0)
      | ~ p62(X2,X3)
      | ~ p32(X3,X1) ),
    inference(cnf_transformation,[status(esa)],[f207]) ).

fof(f243,plain,
    ! [X124,X126] :
      ( ! [X123,X125] :
          ( p4(f5(X123,X124),f5(X125,X126))
          | ~ p2(X123,X125) )
      | ~ p3(X124,X126) ),
    inference(miniscoping,[status(esa)],[f86]) ).

fof(f244,plain,
    ! [X0,X1,X2,X3] :
      ( p4(f5(X0,X1),f5(X2,X3))
      | ~ p2(X0,X2)
      | ~ p3(X1,X3) ),
    inference(cnf_transformation,[status(esa)],[f243]) ).

fof(f265,plain,
    ! [X203,X204] :
      ( p62(X203,X204)
      | ! [X205,X206] : ~ p62(f5(c64,f16(f19(f21(c66,X203),X205),X206)),X204) ),
    inference(miniscoping,[status(esa)],[f97]) ).

fof(f266,plain,
    ! [X0,X1,X2,X3] :
      ( p62(X0,X1)
      | ~ p62(f5(c64,f16(f19(f21(c66,X0),X2),X3)),X1) ),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f269,plain,
    ! [X7,X12] :
      ( p62(X7,X12)
      | ! [X8,X9,X10,X11] : ~ p62(f23(f25(f27(f29(f31(c74,X7),X8),X9),X10),X11),X12) ),
    inference(miniscoping,[status(esa)],[f99]) ).

fof(f270,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( p62(X0,X1)
      | ~ p62(f23(f25(f27(f29(f31(c74,X0),X2),X3),X4),X5),X1) ),
    inference(cnf_transformation,[status(esa)],[f269]) ).

fof(f271,plain,
    p62(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),c72),
    inference(cnf_transformation,[status(esa)],[f100]) ).

fof(f278,plain,
    ! [X0,X1,X2,X3,X4] : p3(f8(f11(f13(c65,f16(f19(f21(c66,X0),X1),X2)),X3),X4),f16(f19(f21(c66,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
    inference(cnf_transformation,[status(esa)],[f106]) ).

fof(f280,plain,
    ! [X0,X1] :
      ( p62(X0,X1)
      | ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X0)
      | ~ p32(c72,X1) ),
    inference(resolution,[status(thm)],[f271,f208]) ).

fof(f282,plain,
    ! [X0] :
      ( p62(X0,c72)
      | ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X0) ),
    inference(resolution,[status(thm)],[f280,f126]) ).

fof(f283,plain,
    ! [X0,X1] :
      ( p62(f5(X0,X1),c72)
      | ~ p2(c64,X0)
      | ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),X1) ),
    inference(resolution,[status(thm)],[f282,f244]) ).

fof(f287,plain,
    ! [X0] :
      ( p62(f5(c64,X0),c72)
      | ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),X0) ),
    inference(resolution,[status(thm)],[f283,f134]) ).

fof(f288,plain,
    ! [X0,X1,X2] :
      ( ~ p3(f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71),f16(f19(f21(c66,X0),X1),X2))
      | p62(X0,c72) ),
    inference(resolution,[status(thm)],[f287,f266]) ).

fof(f294,plain,
    p62(f23(f25(f27(f29(f31(c74,c67),c68),c69),c70),c71),c72),
    inference(resolution,[status(thm)],[f288,f278]) ).

fof(f296,plain,
    p62(c67,c72),
    inference(resolution,[status(thm)],[f294,f270]) ).

fof(f297,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f296,f140]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN716-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Apr 29 21:52:26 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 0.12/0.35  % Refutation found
% 0.12/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37  % Elapsed time: 0.021761 seconds
% 0.12/0.37  % CPU time: 0.040728 seconds
% 0.12/0.37  % Total memory used: 8.147 MB
% 0.12/0.37  % Net memory used: 8.127 MB
%------------------------------------------------------------------------------