TSTP Solution File: GRP601-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP601-1 : TPTP v8.1.2. Released v2.6.0.
% 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 20:21:03 EDT 2024

% Result   : Unsatisfiable 0.15s 0.36s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   35 (  35 unt;   0 def)
%            Number of atoms       :   35 (  34 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 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   :   80 (  80   !;   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(inverse(a1),a1) != multiply(inverse(b1),b1),
    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(inverse(a1),a1) != multiply(inverse(b1),b1),
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f8,plain,
    ! [X2,X1,X0] : multiply(X2,multiply(inverse(double_divide(X1,double_divide(X0,X2))),X0)) = 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(multiply(double_divide(X0,double_divide(X1,X2)),X3),X0) = multiply(X2,multiply(X3,X1)),
    inference(paramodulation,[status(thm)],[f9,f9]) ).

fof(f12,plain,
    ! [X0,X1,X2] : X0 = multiply(double_divide(X1,X2),multiply(X2,multiply(X0,X1))),
    inference(paramodulation,[status(thm)],[f10,f9]) ).

fof(f14,plain,
    ! [X0,X1,X2] : X0 = multiply(double_divide(multiply(X1,X2),double_divide(X2,X0)),X1),
    inference(paramodulation,[status(thm)],[f12,f12]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3,X4] : X0 = multiply(double_divide(X1,multiply(double_divide(multiply(X0,X1),double_divide(X2,X3)),X4)),multiply(X3,multiply(X4,X2))),
    inference(paramodulation,[status(thm)],[f10,f12]) ).

fof(f17,plain,
    ! [X0,X1,X2,X3] : double_divide(X0,X1) = multiply(double_divide(multiply(X1,multiply(X2,X0)),X3),multiply(X3,X2)),
    inference(paramodulation,[status(thm)],[f12,f12]) ).

fof(f30,plain,
    ! [X0,X1,X2] : double_divide(X0,multiply(double_divide(multiply(X1,X0),X2),X1)) = X2,
    inference(paramodulation,[status(thm)],[f14,f17]) ).

fof(f53,plain,
    ! [X0,X1,X2] : X0 = double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))),
    inference(paramodulation,[status(thm)],[f17,f30]) ).

fof(f86,plain,
    ! [X0,X1,X2] : multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = inverse(X1),
    inference(paramodulation,[status(thm)],[f53,f5]) ).

fof(f136,plain,
    ! [X0,X1,X2] : X0 = inverse(double_divide(multiply(X0,multiply(X1,X2)),double_divide(X2,X1))),
    inference(paramodulation,[status(thm)],[f86,f15]) ).

fof(f185,plain,
    ! [X0,X1,X2] : X0 = multiply(double_divide(X1,X2),multiply(X0,multiply(X2,X1))),
    inference(forward_demodulation,[status(thm)],[f5,f136]) ).

fof(f256,plain,
    ! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(X0,multiply(double_divide(X2,multiply(X1,X3)),multiply(X3,X2)))),
    inference(paramodulation,[status(thm)],[f53,f185]) ).

fof(f302,plain,
    ! [X0,X1] : X0 = multiply(X1,multiply(X0,inverse(X1))),
    inference(forward_demodulation,[status(thm)],[f86,f256]) ).

fof(f307,plain,
    ! [X0,X1] : multiply(double_divide(inverse(X0),X0),X1) = X1,
    inference(paramodulation,[status(thm)],[f9,f302]) ).

fof(f316,plain,
    ! [X0,X1] : X0 = multiply(double_divide(inverse(X0),X1),X1),
    inference(paramodulation,[status(thm)],[f302,f185]) ).

fof(f340,plain,
    ! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
    inference(paramodulation,[status(thm)],[f185,f307]) ).

fof(f381,plain,
    ! [X0] : X0 = inverse(inverse(X0)),
    inference(paramodulation,[status(thm)],[f86,f316]) ).

fof(f411,plain,
    ! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f5,f381]) ).

fof(f412,plain,
    ! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
    inference(paramodulation,[status(thm)],[f381,f316]) ).

fof(f845,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = inverse(inverse(X1)),
    inference(paramodulation,[status(thm)],[f412,f411]) ).

fof(f871,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
    inference(forward_demodulation,[status(thm)],[f381,f845]) ).

fof(f1039,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(paramodulation,[status(thm)],[f871,f14]) ).

fof(f1145,plain,
    multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
    inference(backward_demodulation,[status(thm)],[f1039,f6]) ).

fof(f1149,plain,
    ! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
    inference(paramodulation,[status(thm)],[f340,f1039]) ).

fof(f1211,plain,
    multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
    inference(forward_demodulation,[status(thm)],[f1039,f1145]) ).

fof(f1352,plain,
    ! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
    inference(paramodulation,[status(thm)],[f340,f1149]) ).

fof(f1381,plain,
    $false,
    inference(resolution,[status(thm)],[f1352,f1211]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem  : GRP601-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n027.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue Apr 30 00:53:17 EDT 2024
% 0.10/0.30  % CPUTime  : 
% 0.10/0.30  % Drodi V3.6.0
% 0.15/0.36  % Refutation found
% 0.15/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.37  % Elapsed time: 0.072614 seconds
% 0.15/0.37  % CPU time: 0.510326 seconds
% 0.15/0.37  % Total memory used: 27.305 MB
% 0.15/0.37  % Net memory used: 26.994 MB
%------------------------------------------------------------------------------