TSTP Solution File: SYN701-1 by Drodi---3.5.1

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%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN701-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 31 12:47:25 EDT 2023

% Result   : Unsatisfiable 0.11s 0.29s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   26 (  12 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   55 (  32   ~;  23   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   38 (;  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
    ! [X5] : p10(X5,X5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    ! [X43] : p2(X43,X43),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    p2(c44,c46),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    ! [X91,X92] :
      ( p3(f4(X91),f4(X92))
      | ~ p2(X91,X92) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f42,negated_conjecture,
    ! [X44,X45,X43] :
      ( p2(X44,X45)
      | ~ p2(X43,X44)
      | ~ p2(X43,X45) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55,negated_conjecture,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,negated_conjecture,
    ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f62,negated_conjecture,
    ! [X46,X47,X48,X49] :
      ( p2(f11(X46,X47),f11(X48,X49))
      | ~ p10(X47,X49)
      | ~ p3(X46,X48) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f81,plain,
    ! [X0] : p10(X0,X0),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f86,plain,
    ! [X0] : p2(X0,X0),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f90,plain,
    p2(c44,c46),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( p3(f4(X0),f4(X1))
      | ~ p2(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f121,plain,
    ! [X45,X43] :
      ( ! [X44] :
          ( p2(X44,X45)
          | ~ p2(X43,X44) )
      | ~ p2(X43,X45) ),
    inference(miniscoping,[status(esa)],[f42]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( p2(X0,X1)
      | ~ p2(X2,X0)
      | ~ p2(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f121]) ).

fof(f142,plain,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f143,plain,
    ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(cnf_transformation,[status(esa)],[f56]) ).

fof(f152,plain,
    ! [X46,X48] :
      ( ! [X47,X49] :
          ( p2(f11(X46,X47),f11(X48,X49))
          | ~ p10(X47,X49) )
      | ~ p3(X46,X48) ),
    inference(miniscoping,[status(esa)],[f62]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3] :
      ( p2(f11(X0,X1),f11(X2,X3))
      | ~ p10(X1,X3)
      | ~ p3(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f152]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ p2(X0,f11(f4(c46),c43))
      | ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
    inference(resolution,[status(thm)],[f143,f122]) ).

fof(f225,plain,
    ! [X0,X1] :
      ( ~ p2(X0,f11(f4(c46),c43))
      | ~ p2(X1,X0)
      | ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
    inference(resolution,[status(thm)],[f182,f122]) ).

fof(f251,plain,
    ! [X0] :
      ( ~ p2(X0,f11(f4(c46),c43))
      | ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0) ),
    inference(resolution,[status(thm)],[f225,f86]) ).

fof(f323,plain,
    ! [X0,X1] :
      ( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(X0,X1))
      | ~ p10(X1,c43)
      | ~ p3(X0,f4(c46)) ),
    inference(resolution,[status(thm)],[f251,f153]) ).

fof(f450,plain,
    ! [X0,X1] :
      ( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(X0),X1))
      | ~ p10(X1,c43)
      | ~ p2(X0,c46) ),
    inference(resolution,[status(thm)],[f323,f105]) ).

fof(f488,plain,
    ! [X0] :
      ( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),X0))
      | ~ p10(X0,c43) ),
    inference(resolution,[status(thm)],[f450,f90]) ).

fof(f493,plain,
    ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    inference(resolution,[status(thm)],[f488,f81]) ).

fof(f494,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f493,f142]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN701-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.28  % Computer : n011.cluster.edu
% 0.07/0.28  % Model    : x86_64 x86_64
% 0.07/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.28  % Memory   : 8042.1875MB
% 0.07/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.28  % CPULimit : 300
% 0.07/0.28  % WCLimit  : 300
% 0.07/0.28  % DateTime : Tue May 30 10:24:27 EDT 2023
% 0.07/0.28  % CPUTime  : 
% 0.11/0.28  % Drodi V3.5.1
% 0.11/0.29  % Refutation found
% 0.11/0.29  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.29  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.51  % Elapsed time: 0.015213 seconds
% 0.11/0.51  % CPU time: 0.080423 seconds
% 0.11/0.51  % Memory used: 3.417 MB
%------------------------------------------------------------------------------