TSTP Solution File: SYN649-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN649-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 20:52:44 EDT 2024

% Result   : Unsatisfiable 0.13s 0.33s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (   9 unt;   0 def)
%            Number of atoms       :   40 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  20   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   8 con; 0-2 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,negated_conjecture,
    p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,negated_conjecture,
    ! [X87] :
      ( ~ p23(f5(c24,c25),X87)
      | ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X87),c29) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f39,negated_conjecture,
    ! [X49,X50] :
      ( p23(f5(c24,X49),f14(f22(c33,X50),X49))
      | ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,negated_conjecture,
    ! [X45,X46,X47,X48] :
      ( p23(f5(X45,f14(f16(f18(f20(c30,X46),X47),X45),X48)),X48)
      | ~ p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,negated_conjecture,
    ! [X50,X49] :
      ( p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X50),X49)),X50)
      | ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X49),X50) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f42,negated_conjecture,
    ! [X46,X45,X47,X48,X51] :
      ( p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48)
      | ~ p23(f5(X45,X51),X48)
      | ~ p23(f5(f7(f10(c26,X46),X45),X47),X51) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,negated_conjecture,
    ! [X46,X45,X47,X48] :
      ( p23(f5(f7(f10(c26,X46),X45),X47),f14(f16(f18(f20(c30,X46),X47),X45),X48))
      | ~ p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f83,plain,
    p23(f5(f7(f10(c26,f12(c27,f12(c27,c28))),c24),c25),c29),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f106,plain,
    ! [X0] :
      ( ~ p23(f5(c24,c25),X0)
      | ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),c29) ),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( p23(f5(c24,X0),f14(f22(c33,X1),X0))
      | ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X0),X1) ),
    inference(cnf_transformation,[status(esa)],[f39]) ).

fof(f108,plain,
    ! [X0,X1,X2,X3] :
      ( p23(f5(X0,f14(f16(f18(f20(c30,X1),X2),X0),X3)),X3)
      | ~ p23(f5(f7(f10(c26,f12(c27,X1)),X0),X2),X3) ),
    inference(cnf_transformation,[status(esa)],[f40]) ).

fof(f109,plain,
    ! [X0,X1] :
      ( p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,X0),X1)),X0)
      | ~ p23(f5(f7(f10(c26,f12(c27,c28)),c24),X1),X0) ),
    inference(cnf_transformation,[status(esa)],[f41]) ).

fof(f110,plain,
    ! [X46,X45,X47,X51] :
      ( ! [X48] :
          ( p23(f5(f7(f10(c26,f12(c27,X46)),X45),X47),X48)
          | ~ p23(f5(X45,X51),X48) )
      | ~ p23(f5(f7(f10(c26,X46),X45),X47),X51) ),
    inference(miniscoping,[status(esa)],[f42]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3,X4] :
      ( p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3)
      | ~ p23(f5(X1,X4),X3)
      | ~ p23(f5(f7(f10(c26,X0),X1),X2),X4) ),
    inference(cnf_transformation,[status(esa)],[f110]) ).

fof(f114,plain,
    ! [X0,X1,X2,X3] :
      ( p23(f5(f7(f10(c26,X0),X1),X2),f14(f16(f18(f20(c30,X0),X2),X1),X3))
      | ~ p23(f5(f7(f10(c26,f12(c27,X0)),X1),X2),X3) ),
    inference(cnf_transformation,[status(esa)],[f44]) ).

fof(f164,plain,
    p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c29),
    inference(resolution,[status(thm)],[f108,f83]) ).

fof(f170,plain,
    p23(f5(f7(f10(c26,f12(c27,c28)),c24),c25),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
    inference(resolution,[status(thm)],[f114,f83]) ).

fof(f179,plain,
    p23(f5(f7(f10(c26,c28),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),
    inference(resolution,[status(thm)],[f170,f109]) ).

fof(f180,plain,
    p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),
    inference(resolution,[status(thm)],[f170,f107]) ).

fof(f189,plain,
    ! [X0] :
      ( p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),X0)
      | ~ p23(f5(c24,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),X0) ),
    inference(resolution,[status(thm)],[f179,f111]) ).

fof(f387,plain,
    p23(f5(f7(f10(c26,f12(c27,c28)),c24),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),c29),
    inference(resolution,[status(thm)],[f189,f164]) ).

fof(f508,plain,
    ~ p23(f5(c24,c25),f14(f22(c33,f14(f16(f18(f20(c30,f12(c27,c28)),c25),c24),c29)),c25)),
    inference(resolution,[status(thm)],[f387,f106]) ).

fof(f509,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f508,f180]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN649-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n027.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Mon Apr 29 22:26:46 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % Drodi V3.6.0
% 0.13/0.33  % Refutation found
% 0.13/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.34  % Elapsed time: 0.039386 seconds
% 0.13/0.34  % CPU time: 0.212530 seconds
% 0.13/0.34  % Total memory used: 36.171 MB
% 0.13/0.34  % Net memory used: 36.001 MB
%------------------------------------------------------------------------------