TSTP Solution File: SYN706-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN706-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:47:26 EDT 2023

% Result   : Unsatisfiable 0.06s 0.27s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   31 (  15 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   60 (  31   ~;  29   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  10 con; 0-2 aty)
%            Number of variables   :   63 (;  63   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
    ! [X143] : p47(X143,X143),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,negated_conjecture,
    ! [X88] : p36(X88,X88),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,negated_conjecture,
    p45(f20(c52,c50),c58),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    ~ p48(f38(f40(c59,c50),c58),c60),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f57,negated_conjecture,
    ! [X146,X147,X149,X148] :
      ( p48(X146,X147)
      | ~ p47(X149,X147)
      | ~ p48(X148,X149)
      | ~ p37(X148,X146) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f59,negated_conjecture,
    ! [X166,X167] : p7(f8(f11(c54,f14(f17(c55,X166),f35(X167,X166))),X167),X167),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f67,negated_conjecture,
    ! [X98,X99,X100,X101] :
      ( p37(f38(X98,X99),f38(X100,X101))
      | ~ p36(X98,X100)
      | ~ p7(X99,X101) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f78,negated_conjecture,
    ! [X137,X142,X136] :
      ( p46(f23(c53,f35(X137,X142)),f5(c49,X136))
      | ~ p45(f20(c52,X136),X137) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f81,negated_conjecture,
    ! [X150,X151] :
      ( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X150)),X151)),c60)
      | ~ p45(f20(c52,c50),X151)
      | ~ p46(f23(c53,X150),f5(c49,c50)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f86,plain,
    ! [X0] : p47(X0,X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f92,plain,
    ! [X0] : p36(X0,X0),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f108,plain,
    p45(f20(c52,c50),c58),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f110,plain,
    ~ p48(f38(f40(c59,c50),c58),c60),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f165,plain,
    ! [X146,X148] :
      ( ! [X149] :
          ( ! [X147] :
              ( p48(X146,X147)
              | ~ p47(X149,X147) )
          | ~ p48(X148,X149) )
      | ~ p37(X148,X146) ),
    inference(miniscoping,[status(esa)],[f57]) ).

fof(f166,plain,
    ! [X0,X1,X2,X3] :
      ( p48(X0,X1)
      | ~ p47(X2,X1)
      | ~ p48(X3,X2)
      | ~ p37(X3,X0) ),
    inference(cnf_transformation,[status(esa)],[f165]) ).

fof(f169,plain,
    ! [X0,X1] : p7(f8(f11(c54,f14(f17(c55,X0),f35(X1,X0))),X1),X1),
    inference(cnf_transformation,[status(esa)],[f59]) ).

fof(f183,plain,
    ! [X99,X101] :
      ( ! [X98,X100] :
          ( p37(f38(X98,X99),f38(X100,X101))
          | ~ p36(X98,X100) )
      | ~ p7(X99,X101) ),
    inference(miniscoping,[status(esa)],[f67]) ).

fof(f184,plain,
    ! [X0,X1,X2,X3] :
      ( p37(f38(X0,X1),f38(X2,X3))
      | ~ p36(X0,X2)
      | ~ p7(X1,X3) ),
    inference(cnf_transformation,[status(esa)],[f183]) ).

fof(f205,plain,
    ! [X137,X136] :
      ( ! [X142] : p46(f23(c53,f35(X137,X142)),f5(c49,X136))
      | ~ p45(f20(c52,X136),X137) ),
    inference(miniscoping,[status(esa)],[f78]) ).

fof(f206,plain,
    ! [X0,X1,X2] :
      ( p46(f23(c53,f35(X0,X1)),f5(c49,X2))
      | ~ p45(f20(c52,X2),X0) ),
    inference(cnf_transformation,[status(esa)],[f205]) ).

fof(f210,plain,
    ! [X150] :
      ( ! [X151] :
          ( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X150)),X151)),c60)
          | ~ p45(f20(c52,c50),X151) )
      | ~ p46(f23(c53,X150),f5(c49,c50)) ),
    inference(miniscoping,[status(esa)],[f81]) ).

fof(f211,plain,
    ! [X0,X1] :
      ( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X0)),X1)),c60)
      | ~ p45(f20(c52,c50),X1)
      | ~ p46(f23(c53,X0),f5(c49,c50)) ),
    inference(cnf_transformation,[status(esa)],[f210]) ).

fof(f286,plain,
    ! [X0,X1,X2] :
      ( p37(f38(X0,X1),f38(X0,X2))
      | ~ p7(X1,X2) ),
    inference(resolution,[status(thm)],[f184,f92]) ).

fof(f287,plain,
    ! [X0,X1,X2] : p37(f38(X0,f8(f11(c54,f14(f17(c55,X1),f35(X2,X1))),X2)),f38(X0,X2)),
    inference(resolution,[status(thm)],[f286,f169]) ).

fof(f312,plain,
    ! [X0] : p46(f23(c53,f35(c58,X0)),f5(c49,c50)),
    inference(resolution,[status(thm)],[f206,f108]) ).

fof(f360,plain,
    ! [X0,X1,X2,X3,X4] :
      ( p48(f38(X0,X1),X2)
      | ~ p47(X3,X2)
      | ~ p48(f38(X0,f8(f11(c54,f14(f17(c55,X4),f35(X1,X4))),X1)),X3) ),
    inference(resolution,[status(thm)],[f287,f166]) ).

fof(f365,plain,
    ! [X0,X1] :
      ( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X0))),X1)),c60)
      | ~ p45(f20(c52,c50),X1) ),
    inference(resolution,[status(thm)],[f211,f312]) ).

fof(f415,plain,
    ! [X0] : p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,X0))),c58)),c60),
    inference(resolution,[status(thm)],[f365,f108]) ).

fof(f572,plain,
    ! [X0] :
      ( p48(f38(f40(c59,c50),c58),X0)
      | ~ p47(c60,X0) ),
    inference(resolution,[status(thm)],[f360,f415]) ).

fof(f574,plain,
    p48(f38(f40(c59,c50),c58),c60),
    inference(resolution,[status(thm)],[f572,f86]) ).

fof(f575,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f574,f110]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYN706-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n001.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue May 30 10:59:15 EDT 2023
% 0.06/0.26  % CPUTime  : 
% 0.06/0.26  % Drodi V3.5.1
% 0.06/0.27  % Refutation found
% 0.06/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.28  % Elapsed time: 0.021527 seconds
% 0.10/0.28  % CPU time: 0.026734 seconds
% 0.10/0.28  % Memory used: 3.453 MB
%------------------------------------------------------------------------------