TSTP Solution File: GRP523-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP523-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 20:20:52 EDT 2024

% Result   : Unsatisfiable 0.20s 0.43s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   48 (  48 unt;   0 def)
%            Number of atoms       :   48 (  47 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  103 ( 103   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : divide(A,divide(B,divide(C,divide(A,B)))) = C,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B,C] : multiply(A,B) = divide(A,divide(divide(C,C),B)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [A,B] : inverse(A) = divide(divide(B,B),A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,plain,
    ! [X0,X1,X2] : divide(X0,divide(X1,divide(X2,divide(X0,X1)))) = X2,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f6,plain,
    ! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f8,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(backward_demodulation,[status(thm)],[f7,f6]) ).

fof(f10,plain,
    ! [X0,X1] : inverse(inverse(X0)) = multiply(divide(X1,X1),X0),
    inference(paramodulation,[status(thm)],[f9,f7]) ).

fof(f11,plain,
    ! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,X1)),X0),
    inference(paramodulation,[status(thm)],[f7,f7]) ).

fof(f166,plain,
    ! [X0,X1,X2] : inverse(divide(X0,divide(X1,divide(inverse(divide(X2,X2)),X0)))) = X1,
    inference(paramodulation,[status(thm)],[f11,f5]) ).

fof(f167,plain,
    ! [X0,X1] : inverse(divide(X0,divide(X1,inverse(X0)))) = X1,
    inference(forward_demodulation,[status(thm)],[f11,f166]) ).

fof(f168,plain,
    ! [X0,X1] : inverse(divide(X0,multiply(X1,X0))) = X1,
    inference(forward_demodulation,[status(thm)],[f9,f167]) ).

fof(f216,plain,
    ! [X0,X1,X2] : divide(X0,inverse(divide(X1,divide(X0,divide(X2,X2))))) = X1,
    inference(paramodulation,[status(thm)],[f7,f5]) ).

fof(f217,plain,
    ! [X0,X1,X2] : multiply(X0,divide(X1,divide(X0,divide(X2,X2)))) = X1,
    inference(forward_demodulation,[status(thm)],[f9,f216]) ).

fof(f236,plain,
    ! [X0,X1,X2] : divide(X0,divide(divide(X1,divide(X2,X0)),X1)) = X2,
    inference(paramodulation,[status(thm)],[f5,f5]) ).

fof(f265,plain,
    ! [X0,X1,X2] : divide(X0,divide(inverse(X1),divide(X2,multiply(X0,X1)))) = X2,
    inference(paramodulation,[status(thm)],[f9,f5]) ).

fof(f301,plain,
    ! [X0,X1] : inverse(inverse(multiply(X0,divide(X1,X1)))) = X0,
    inference(paramodulation,[status(thm)],[f7,f168]) ).

fof(f316,plain,
    ! [X0,X1] : inverse(divide(X0,inverse(inverse(X0)))) = divide(X1,X1),
    inference(paramodulation,[status(thm)],[f10,f168]) ).

fof(f317,plain,
    ! [X0,X1] : inverse(multiply(X0,inverse(X0))) = divide(X1,X1),
    inference(forward_demodulation,[status(thm)],[f9,f316]) ).

fof(f365,plain,
    ! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,divide(X2,X2)))) = divide(X0,X1),
    inference(paramodulation,[status(thm)],[f301,f9]) ).

fof(f423,plain,
    ! [X0,X1,X2] : divide(X0,divide(X1,inverse(multiply(X2,inverse(X2))))) = divide(X0,X1),
    inference(paramodulation,[status(thm)],[f317,f5]) ).

fof(f424,plain,
    ! [X0,X1,X2] : divide(X0,multiply(X1,multiply(X2,inverse(X2)))) = divide(X0,X1),
    inference(forward_demodulation,[status(thm)],[f9,f423]) ).

fof(f427,plain,
    ! [X0,X1,X2] : divide(X0,divide(X0,divide(X1,inverse(multiply(X2,inverse(X2)))))) = X1,
    inference(paramodulation,[status(thm)],[f317,f5]) ).

fof(f428,plain,
    ! [X0,X1,X2] : divide(X0,divide(X0,multiply(X1,multiply(X2,inverse(X2))))) = X1,
    inference(forward_demodulation,[status(thm)],[f9,f427]) ).

fof(f429,plain,
    ! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
    inference(forward_demodulation,[status(thm)],[f424,f428]) ).

fof(f439,plain,
    ! [X0,X1] : inverse(divide(inverse(divide(X0,X0)),X1)) = X1,
    inference(paramodulation,[status(thm)],[f11,f429]) ).

fof(f440,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f11,f439]) ).

fof(f457,plain,
    ! [X0,X1] : X0 = divide(X0,divide(X1,X1)),
    inference(paramodulation,[status(thm)],[f5,f429]) ).

fof(f515,plain,
    ! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
    inference(backward_demodulation,[status(thm)],[f440,f301]) ).

fof(f659,plain,
    ! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
    inference(backward_demodulation,[status(thm)],[f457,f217]) ).

fof(f664,plain,
    ! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
    inference(backward_demodulation,[status(thm)],[f515,f365]) ).

fof(f706,plain,
    ! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
    inference(paramodulation,[status(thm)],[f429,f659]) ).

fof(f713,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
    inference(paramodulation,[status(thm)],[f9,f706]) ).

fof(f714,plain,
    ! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f664,f713]) ).

fof(f720,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(paramodulation,[status(thm)],[f714,f659]) ).

fof(f721,plain,
    ! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
    inference(paramodulation,[status(thm)],[f714,f429]) ).

fof(f912,plain,
    ! [X0,X1,X2] : divide(X0,X1) = divide(divide(X2,divide(X1,X0)),X2),
    inference(paramodulation,[status(thm)],[f236,f429]) ).

fof(f952,plain,
    ! [X0,X1,X2] : divide(X0,divide(inverse(X1),X2)) = multiply(multiply(X0,X1),X2),
    inference(paramodulation,[status(thm)],[f721,f265]) ).

fof(f1039,plain,
    ! [X0,X1] : divide(divide(X0,X1),X0) = inverse(X1),
    inference(paramodulation,[status(thm)],[f664,f721]) ).

fof(f1042,plain,
    ! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
    inference(backward_demodulation,[status(thm)],[f1039,f912]) ).

fof(f1099,plain,
    ! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f9,f1042]) ).

fof(f1286,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = divide(X0,divide(inverse(X2),X1)),
    inference(paramodulation,[status(thm)],[f1099,f9]) ).

fof(f1287,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X2),X1),
    inference(forward_demodulation,[status(thm)],[f952,f1286]) ).

fof(f1288,plain,
    multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3)),
    inference(backward_demodulation,[status(thm)],[f1287,f8]) ).

fof(f1289,plain,
    multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
    inference(forward_demodulation,[status(thm)],[f720,f1288]) ).

fof(f1290,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f1289]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP523-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Apr 30 01:07:55 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.20/0.43  % Refutation found
% 0.20/0.43  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.44  % Elapsed time: 0.079874 seconds
% 0.20/0.44  % CPU time: 0.553472 seconds
% 0.20/0.44  % Total memory used: 23.104 MB
% 0.20/0.44  % Net memory used: 21.816 MB
%------------------------------------------------------------------------------