TSTP Solution File: SYN651-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN651-1 : 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 : Wed May 31 12:47:18 EDT 2023

% Result   : Unsatisfiable 0.14s 0.31s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  11 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  20   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :   42 (;  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,negated_conjecture,
    p23(f5(c27,c28),c30),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,negated_conjecture,
    p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    ~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,negated_conjecture,
    ! [X45,X46,X47,X48] :
      ( p23(f5(X45,f14(f16(f18(f20(c31,X46),X47),X45),X48)),X48)
      | ~ p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,negated_conjecture,
    ! [X46,X45,X47,X48,X51] :
      ( p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48)
      | ~ p23(f5(X45,X51),X48)
      | ~ p23(f5(f7(f10(c24,X46),X45),X47),X51) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,negated_conjecture,
    ! [X49,X50,X52] :
      ( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X49),X50)
      | ~ p23(f5(c27,X49),X52)
      | ~ p23(f5(f7(f10(c24,c26),c27),X52),X50) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,negated_conjecture,
    ! [X46,X45,X47,X48] :
      ( p23(f5(f7(f10(c24,X46),X45),X47),f14(f16(f18(f20(c31,X46),X47),X45),X48))
      | ~ p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f58,plain,
    p23(f5(c27,c28),c30),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f83,plain,
    p23(f5(f7(f10(c24,f12(c25,c26)),c27),c30),c29),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f86,plain,
    ~ p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3] :
      ( p23(f5(X0,f14(f16(f18(f20(c31,X1),X2),X0),X3)),X3)
      | ~ p23(f5(f7(f10(c24,f12(c25,X1)),X0),X2),X3) ),
    inference(cnf_transformation,[status(esa)],[f41]) ).

fof(f112,plain,
    ! [X46,X45,X47,X51] :
      ( ! [X48] :
          ( p23(f5(f7(f10(c24,f12(c25,X46)),X45),X47),X48)
          | ~ p23(f5(X45,X51),X48) )
      | ~ p23(f5(f7(f10(c24,X46),X45),X47),X51) ),
    inference(miniscoping,[status(esa)],[f43]) ).

fof(f113,plain,
    ! [X0,X1,X2,X3,X4] :
      ( p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3)
      | ~ p23(f5(X1,X4),X3)
      | ~ p23(f5(f7(f10(c24,X0),X1),X2),X4) ),
    inference(cnf_transformation,[status(esa)],[f112]) ).

fof(f114,plain,
    ! [X50,X52] :
      ( ! [X49] :
          ( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X49),X50)
          | ~ p23(f5(c27,X49),X52) )
      | ~ p23(f5(f7(f10(c24,c26),c27),X52),X50) ),
    inference(miniscoping,[status(esa)],[f44]) ).

fof(f115,plain,
    ! [X0,X1,X2] :
      ( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X0),X1)
      | ~ p23(f5(c27,X0),X2)
      | ~ p23(f5(f7(f10(c24,c26),c27),X2),X1) ),
    inference(cnf_transformation,[status(esa)],[f114]) ).

fof(f116,plain,
    ! [X0,X1,X2,X3] :
      ( p23(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c31,X0),X2),X1),X3))
      | ~ p23(f5(f7(f10(c24,f12(c25,X0)),X1),X2),X3) ),
    inference(cnf_transformation,[status(esa)],[f45]) ).

fof(f172,plain,
    p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),c29),
    inference(resolution,[status(thm)],[f110,f83]) ).

fof(f210,plain,
    p23(f5(f7(f10(c24,c26),c27),c30),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
    inference(resolution,[status(thm)],[f116,f83]) ).

fof(f211,plain,
    ! [X0] :
      ( p23(f5(f7(f10(c24,f12(c25,c26)),c27),X0),f14(f16(f18(f20(c31,c26),c30),c27),c29))
      | ~ p23(f5(c27,X0),c30) ),
    inference(resolution,[status(thm)],[f210,f115]) ).

fof(f265,plain,
    p23(f5(f7(f10(c24,f12(c25,c26)),c27),c28),f14(f16(f18(f20(c31,c26),c30),c27),c29)),
    inference(resolution,[status(thm)],[f211,f58]) ).

fof(f318,plain,
    ! [X0] :
      ( p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),X0)
      | ~ p23(f5(c27,f14(f16(f18(f20(c31,c26),c30),c27),c29)),X0) ),
    inference(resolution,[status(thm)],[f265,f113]) ).

fof(f1370,plain,
    p23(f5(f7(f10(c24,f12(c25,f12(c25,c26))),c27),c28),c29),
    inference(resolution,[status(thm)],[f318,f172]) ).

fof(f1371,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1370,f86]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN651-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09  % 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 : Tue May 30 10:28:15 EDT 2023
% 0.09/0.28  % CPUTime  : 
% 0.14/0.29  % Drodi V3.5.1
% 0.14/0.31  % Refutation found
% 0.14/0.31  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.32  % Elapsed time: 0.033262 seconds
% 0.14/0.32  % CPU time: 0.164313 seconds
% 0.14/0.32  % Memory used: 12.359 MB
%------------------------------------------------------------------------------