TSTP Solution File: GRP604-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP604-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 20:21:03 EDT 2024

% Result   : Unsatisfiable 0.12s 0.37s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   29 (  29 unt;   0 def)
%            Number of atoms       :   29 (  28 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   73 (  73   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : inverse(double_divide(inverse(double_divide(A,inverse(double_divide(B,double_divide(A,C))))),C)) = B,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    multiply(a,b) != multiply(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [X0,X1,X2] : inverse(double_divide(inverse(double_divide(X0,inverse(double_divide(X1,double_divide(X0,X2))))),X2)) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,plain,
    multiply(a,b) != multiply(b,a),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    ! [X0,X1,X2] : multiply(X0,inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X0)))))) = X2,
    inference(forward_demodulation,[status(thm)],[f5,f4]) ).

fof(f8,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(inverse(double_divide(X1,double_divide(X2,X0))),X2)) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f7]) ).

fof(f9,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1)) = X2,
    inference(forward_demodulation,[status(thm)],[f5,f8]) ).

fof(f10,plain,
    ! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(multiply(double_divide(X3,double_divide(X2,X0)),X1),X3),
    inference(paramodulation,[status(thm)],[f9,f9]) ).

fof(f13,plain,
    ! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
    inference(paramodulation,[status(thm)],[f10,f9]) ).

fof(f14,plain,
    ! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0) = X2,
    inference(paramodulation,[status(thm)],[f13,f13]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,multiply(double_divide(multiply(X1,X0),double_divide(X2,X3)),X4)),multiply(X3,multiply(X4,X2))) = X1,
    inference(paramodulation,[status(thm)],[f10,f13]) ).

fof(f16,plain,
    ! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),multiply(X3,X1)) = double_divide(X2,X0),
    inference(paramodulation,[status(thm)],[f13,f13]) ).

fof(f27,plain,
    ! [X0,X1,X2] : X0 = double_divide(X1,multiply(double_divide(multiply(X2,X1),X0),X2)),
    inference(paramodulation,[status(thm)],[f14,f16]) ).

fof(f50,plain,
    ! [X0,X1,X2] : X0 = double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))),
    inference(paramodulation,[status(thm)],[f16,f27]) ).

fof(f79,plain,
    ! [X0,X1,X2] : multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = inverse(X1),
    inference(paramodulation,[status(thm)],[f50,f5]) ).

fof(f118,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(inverse(X0),X2)) = multiply(X1,X2),
    inference(paramodulation,[status(thm)],[f79,f9]) ).

fof(f219,plain,
    ! [X0,X1,X2] : inverse(double_divide(multiply(X0,multiply(X1,X2)),double_divide(X2,X1))) = X0,
    inference(paramodulation,[status(thm)],[f79,f15]) ).

fof(f220,plain,
    ! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X2,multiply(X1,X0))) = X2,
    inference(forward_demodulation,[status(thm)],[f5,f219]) ).

fof(f365,plain,
    ! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(double_divide(X2,multiply(X0,X3)),multiply(X3,X2)))) = X1,
    inference(paramodulation,[status(thm)],[f50,f220]) ).

fof(f366,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
    inference(forward_demodulation,[status(thm)],[f79,f365]) ).

fof(f426,plain,
    ! [X0,X1] : X0 = multiply(double_divide(inverse(X1),X1),X0),
    inference(paramodulation,[status(thm)],[f9,f366]) ).

fof(f442,plain,
    ! [X0,X1] : multiply(double_divide(inverse(X0),X1),X1) = X0,
    inference(paramodulation,[status(thm)],[f366,f220]) ).

fof(f466,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
    inference(paramodulation,[status(thm)],[f220,f426]) ).

fof(f512,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(paramodulation,[status(thm)],[f79,f442]) ).

fof(f561,plain,
    ! [X0,X1] : multiply(X0,inverse(inverse(X1))) = multiply(X1,X0),
    inference(paramodulation,[status(thm)],[f118,f466]) ).

fof(f562,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(forward_demodulation,[status(thm)],[f512,f561]) ).

fof(f609,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f6,f562]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP604-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Apr 30 00:46:40 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Drodi V3.6.0
% 0.12/0.37  % Refutation found
% 0.12/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.38  % Elapsed time: 0.040094 seconds
% 0.12/0.38  % CPU time: 0.242235 seconds
% 0.12/0.38  % Total memory used: 14.644 MB
% 0.12/0.38  % Net memory used: 14.487 MB
%------------------------------------------------------------------------------