TSTP Solution File: SYN695-1 by Drodi---3.6.0

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%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN695-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 20:52:51 EDT 2024

% Result   : Unsatisfiable 0.13s 0.31s
% Output   : CNFRefutation 0.13s
% 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(f18,negated_conjecture,
    p2(c44,c45),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,negated_conjecture,
    ! [X91,X92] :
      ( p3(f4(X91),f4(X92))
      | ~ p2(X91,X92) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,negated_conjecture,
    ! [X44,X45,X43] :
      ( p2(X44,X45)
      | ~ p2(X43,X44)
      | ~ p2(X43,X45) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f54,negated_conjecture,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55,negated_conjecture,
    ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f61,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(f80,plain,
    ! [X0] : p10(X0,X0),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f85,plain,
    ! [X0] : p2(X0,X0),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f91,plain,
    p2(c44,c45),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f103,plain,
    ! [X0,X1] :
      ( p3(f4(X0),f4(X1))
      | ~ p2(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f119,plain,
    ! [X45,X43] :
      ( ! [X44] :
          ( p2(X44,X45)
          | ~ p2(X43,X44) )
      | ~ p2(X43,X45) ),
    inference(miniscoping,[status(esa)],[f41]) ).

fof(f120,plain,
    ! [X0,X1,X2] :
      ( p2(X0,X1)
      | ~ p2(X2,X0)
      | ~ p2(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f119]) ).

fof(f140,plain,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    inference(cnf_transformation,[status(esa)],[f54]) ).

fof(f141,plain,
    ~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference(cnf_transformation,[status(esa)],[f55]) ).

fof(f150,plain,
    ! [X46,X48] :
      ( ! [X47,X49] :
          ( p2(f11(X46,X47),f11(X48,X49))
          | ~ p10(X47,X49) )
      | ~ p3(X46,X48) ),
    inference(miniscoping,[status(esa)],[f61]) ).

fof(f151,plain,
    ! [X0,X1,X2,X3] :
      ( p2(f11(X0,X1),f11(X2,X3))
      | ~ p10(X1,X3)
      | ~ p3(X0,X2) ),
    inference(cnf_transformation,[status(esa)],[f150]) ).

fof(f178,plain,
    ! [X0] :
      ( ~ p2(X0,f11(f4(c45),c43))
      | ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
    inference(resolution,[status(thm)],[f141,f120]) ).

fof(f221,plain,
    ! [X0,X1] :
      ( ~ p2(X0,f11(f4(c45),c43))
      | ~ p2(X1,X0)
      | ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
    inference(resolution,[status(thm)],[f178,f120]) ).

fof(f246,plain,
    ! [X0] :
      ( ~ p2(X0,f11(f4(c45),c43))
      | ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),X0) ),
    inference(resolution,[status(thm)],[f221,f85]) ).

fof(f247,plain,
    ! [X0,X1] :
      ( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(X0,X1))
      | ~ p10(X1,c43)
      | ~ p3(X0,f4(c45)) ),
    inference(resolution,[status(thm)],[f246,f151]) ).

fof(f274,plain,
    ! [X0,X1] :
      ( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(X0),X1))
      | ~ p10(X1,c43)
      | ~ p2(X0,c45) ),
    inference(resolution,[status(thm)],[f247,f103]) ).

fof(f331,plain,
    ! [X0] :
      ( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),X0))
      | ~ p10(X0,c43) ),
    inference(resolution,[status(thm)],[f274,f91]) ).

fof(f433,plain,
    ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    inference(resolution,[status(thm)],[f331,f80]) ).

fof(f434,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f433,f140]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN695-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Mon Apr 29 22:09:20 EDT 2024
% 0.13/0.29  % CPUTime  : 
% 0.13/0.29  % Drodi V3.6.0
% 0.13/0.31  % Refutation found
% 0.13/0.31  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.31  % Elapsed time: 0.020036 seconds
% 0.13/0.31  % CPU time: 0.076232 seconds
% 0.13/0.31  % Total memory used: 4.082 MB
% 0.13/0.31  % Net memory used: 4.016 MB
%------------------------------------------------------------------------------