TSTP Solution File: GRP590-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP590-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 20:21:01 EDT 2024

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   34 (  34 unt;   0 def)
%            Number of atoms       :   34 (  33 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   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   :   69 (  69   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = C,
    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(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [X0,X1,X2] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
    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(multiply(inverse(b2),b2),a2) != a2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

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

fof(f10,plain,
    ! [X0,X1,X2,X3] : double_divide(multiply(multiply(inverse(X0),multiply(multiply(inverse(X1),X2),double_divide(X2,X3))),X1),X3) = X0,
    inference(paramodulation,[status(thm)],[f8,f8]) ).

fof(f11,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0))) = inverse(X1),
    inference(paramodulation,[status(thm)],[f8,f5]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(X1),double_divide(multiply(multiply(inverse(X1),X2),double_divide(X2,inverse(X3))),X0))) = inverse(X3),
    inference(paramodulation,[status(thm)],[f11,f11]) ).

fof(f26,plain,
    ! [X0,X1] : double_divide(multiply(inverse(X0),X0),inverse(X1)) = X1,
    inference(paramodulation,[status(thm)],[f11,f10]) ).

fof(f37,plain,
    ! [X0,X1,X2] : double_divide(multiply(multiply(X0,X1),double_divide(X1,X0)),inverse(X2)) = X2,
    inference(paramodulation,[status(thm)],[f5,f26]) ).

fof(f38,plain,
    ! [X0,X1,X2] : double_divide(multiply(inverse(X0),X0),multiply(X1,X2)) = double_divide(X2,X1),
    inference(paramodulation,[status(thm)],[f5,f26]) ).

fof(f43,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X1)) = inverse(X0),
    inference(paramodulation,[status(thm)],[f26,f5]) ).

fof(f46,plain,
    ! [X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(X1),X1))) = inverse(X0),
    inference(paramodulation,[status(thm)],[f43,f43]) ).

fof(f48,plain,
    ! [X0,X1] : double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1)) = X1,
    inference(paramodulation,[status(thm)],[f43,f26]) ).

fof(f54,plain,
    ! [X0,X1] : double_divide(inverse(inverse(multiply(inverse(X0),X0))),inverse(X1)) = X1,
    inference(paramodulation,[status(thm)],[f43,f48]) ).

fof(f92,plain,
    ! [X0,X1,X2,X3] : double_divide(multiply(multiply(inverse(X0),multiply(inverse(X1),X1)),double_divide(X2,X3)),multiply(X3,X2)) = X0,
    inference(paramodulation,[status(thm)],[f38,f8]) ).

fof(f93,plain,
    ! [X0,X1,X2] : double_divide(multiply(inverse(X0),double_divide(X1,X2)),multiply(X2,X1)) = X0,
    inference(forward_demodulation,[status(thm)],[f43,f92]) ).

fof(f145,plain,
    ! [X0,X1,X2] : double_divide(multiply(inverse(X0),X1),multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))) = X0,
    inference(paramodulation,[status(thm)],[f48,f93]) ).

fof(f146,plain,
    ! [X0,X1] : double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
    inference(forward_demodulation,[status(thm)],[f46,f145]) ).

fof(f174,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X0)) = inverse(X1),
    inference(paramodulation,[status(thm)],[f37,f12]) ).

fof(f249,plain,
    ! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X1),X1))) = X0,
    inference(paramodulation,[status(thm)],[f43,f146]) ).

fof(f273,plain,
    ! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X0),X1))) = X1,
    inference(paramodulation,[status(thm)],[f174,f146]) ).

fof(f290,plain,
    ! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(X1),X1)),
    inference(paramodulation,[status(thm)],[f54,f249]) ).

fof(f291,plain,
    ! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
    inference(paramodulation,[status(thm)],[f48,f249]) ).

fof(f308,plain,
    ! [X0] : multiply(inverse(X0),X0) = multiply(inverse(b2),b2),
    inference(equality_split,[status(esa)],[f291]) ).

fof(f340,plain,
    ! [X0] : multiply(inverse(b2),b2) = inverse(multiply(inverse(X0),X0)),
    inference(forward_demodulation,[status(thm)],[f308,f290]) ).

fof(f341,plain,
    multiply(inverse(b2),b2) = inverse(multiply(inverse(b2),b2)),
    inference(forward_demodulation,[status(thm)],[f308,f340]) ).

fof(f347,plain,
    ! [X0] : double_divide(inverse(multiply(inverse(b2),b2)),inverse(multiply(multiply(inverse(b2),b2),X0))) = X0,
    inference(paramodulation,[status(thm)],[f341,f273]) ).

fof(f348,plain,
    ! [X0] : multiply(multiply(inverse(b2),b2),X0) = X0,
    inference(forward_demodulation,[status(thm)],[f48,f347]) ).

fof(f409,plain,
    a2 != a2,
    inference(backward_demodulation,[status(thm)],[f348,f6]) ).

fof(f410,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f409]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP590-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 00:18:11 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Drodi V3.6.0
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36  % Elapsed time: 0.021025 seconds
% 0.13/0.36  % CPU time: 0.081715 seconds
% 0.13/0.36  % Total memory used: 5.317 MB
% 0.13/0.36  % Net memory used: 5.202 MB
%------------------------------------------------------------------------------