TSTP Solution File: SYN715-1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN715-1 : TPTP v8.1.2. Released v2.5.0.
% 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 20:52:53 EDT 2024

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   33 (  14 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   64 (  34   ~;  30   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   40 (  40 usr;  13 con; 0-2 aty)
%            Number of variables   :   85 (  85   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f23,negated_conjecture,
    ! [X71] : p27(X71,X71),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f67,negated_conjecture,
    ! [X199,X200,X202,X201] :
      ( p62(X199,X200)
      | ~ p4(X202,X199)
      | ~ p62(X202,X201)
      | ~ p27(X201,X200) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f69,negated_conjecture,
    p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71),
    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(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(f101,negated_conjecture,
    ! [X213,X214,X211,X212] :
      ( p63(f24(f26(f30(c73,X213),X214),X211),X212)
      | ~ p63(f24(f26(f30(c73,X211),X212),X213),X214) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f103,negated_conjecture,
    ! [X10,X11,X8,X12,X9,X7] :
      ( ~ p63(f24(f26(f30(c73,X10),X11),f31(X8,X12)),f28(X9,X12))
      | ~ p62(f33(f35(f37(f39(f41(c74,X7),X8),X9),X10),X11),X12) ),
    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,f33(f35(f37(f39(f41(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(f129,plain,
    ! [X0] : p27(X0,X0),
    inference(cnf_transformation,[status(esa)],[f23]) ).

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

fof(f206,plain,
    ! [X200,X201] :
      ( ! [X202] :
          ( ! [X199] :
              ( p62(X199,X200)
              | ~ p4(X202,X199) )
          | ~ p62(X202,X201) )
      | ~ p27(X201,X200) ),
    inference(miniscoping,[status(esa)],[f67]) ).

fof(f207,plain,
    ! [X0,X1,X2,X3] :
      ( p62(X0,X1)
      | ~ p4(X2,X0)
      | ~ p62(X2,X3)
      | ~ p27(X3,X1) ),
    inference(cnf_transformation,[status(esa)],[f206]) ).

fof(f210,plain,
    p63(f24(f26(f30(c73,f31(c68,c72)),f28(c69,c72)),c70),c71),
    inference(cnf_transformation,[status(esa)],[f69]) ).

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(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(f272,plain,
    ! [X0,X1,X2,X3] :
      ( p63(f24(f26(f30(c73,X0),X1),X2),X3)
      | ~ p63(f24(f26(f30(c73,X2),X3),X0),X1) ),
    inference(cnf_transformation,[status(esa)],[f101]) ).

fof(f274,plain,
    ! [X10,X11,X8,X12,X9] :
      ( ~ p63(f24(f26(f30(c73,X10),X11),f31(X8,X12)),f28(X9,X12))
      | ! [X7] : ~ p62(f33(f35(f37(f39(f41(c74,X7),X8),X9),X10),X11),X12) ),
    inference(miniscoping,[status(esa)],[f103]) ).

fof(f275,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ p63(f24(f26(f30(c73,X0),X1),f31(X2,X3)),f28(X4,X3))
      | ~ p62(f33(f35(f37(f39(f41(c74,X5),X2),X4),X0),X1),X3) ),
    inference(cnf_transformation,[status(esa)],[f274]) ).

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,f33(f35(f37(f39(f41(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,
    p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,c72)),
    inference(resolution,[status(thm)],[f272,f210]) ).

fof(f284,plain,
    ! [X0,X1] :
      ( p62(X0,X1)
      | ~ p4(f5(c64,f8(f11(f13(c65,f16(f19(f21(c66,c67),c68),c69)),c70),c71)),X0)
      | ~ p27(c72,X1) ),
    inference(resolution,[status(thm)],[f271,f207]) ).

fof(f298,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)],[f284,f129]) ).

fof(f299,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)],[f298,f244]) ).

fof(f315,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)],[f299,f134]) ).

fof(f316,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)],[f315,f266]) ).

fof(f322,plain,
    p62(f33(f35(f37(f39(f41(c74,c67),c68),c69),c70),c71),c72),
    inference(resolution,[status(thm)],[f316,f278]) ).

fof(f329,plain,
    ~ p63(f24(f26(f30(c73,c70),c71),f31(c68,c72)),f28(c69,c72)),
    inference(resolution,[status(thm)],[f322,f275]) ).

fof(f330,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f329,f280]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN715-1 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n026.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 : Mon Apr 29 22:17:34 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % Drodi V3.6.0
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36  % Elapsed time: 0.022602 seconds
% 0.13/0.36  % CPU time: 0.055122 seconds
% 0.13/0.36  % Total memory used: 10.398 MB
% 0.13/0.36  % Net memory used: 10.363 MB
%------------------------------------------------------------------------------