TSTP Solution File: GRP571-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP571-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 20:20:58 EDT 2024

% Result   : Unsatisfiable 0.15s 0.50s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :    5
% Syntax   : Number of formulae    :  131 ( 131 unt;   0 def)
%            Number of atoms       :  131 ( 130 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   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    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :  284 ( 284   !;   0   ?)

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

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

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

fof(f4,axiom,
    ! [A] : identity = double_divide(A,inverse(A)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),double_divide(identity,identity)) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    ! [X0] : inverse(X0) = double_divide(X0,identity),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
    ! [X0] : identity = double_divide(X0,inverse(X0)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f11,plain,
    ! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),double_divide(X2,identity))),inverse(identity)) = X1,
    inference(backward_demodulation,[status(thm)],[f8,f6]) ).

fof(f12,plain,
    ! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),inverse(identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f8,f11]) ).

fof(f13,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
    inference(backward_demodulation,[status(thm)],[f8,f7]) ).

fof(f15,plain,
    ! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
    inference(paramodulation,[status(thm)],[f8,f13]) ).

fof(f16,plain,
    ! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f13,f9]) ).

fof(f17,plain,
    ! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
    inference(paramodulation,[status(thm)],[f15,f15]) ).

fof(f18,plain,
    ! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f13,f15]) ).

fof(f19,plain,
    ! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
    inference(paramodulation,[status(thm)],[f15,f9]) ).

fof(f76,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),double_divide(double_divide(X3,X1),inverse(inverse(identity)))),inverse(identity)) = X3,
    inference(paramodulation,[status(thm)],[f12,f12]) ).

fof(f77,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),double_divide(double_divide(X3,X1),multiply(identity,identity))),inverse(identity)) = X3,
    inference(forward_demodulation,[status(thm)],[f15,f76]) ).

fof(f80,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,identity),inverse(inverse(X0)))),inverse(identity)) = X1,
    inference(paramodulation,[status(thm)],[f9,f12]) ).

fof(f81,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),inverse(inverse(X0)))),inverse(identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f8,f80]) ).

fof(f82,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),multiply(identity,X0))),inverse(identity)) = X1,
    inference(forward_demodulation,[status(thm)],[f15,f81]) ).

fof(f83,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),inverse(identity)) = X1,
    inference(paramodulation,[status(thm)],[f8,f12]) ).

fof(f85,plain,
    ! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,inverse(X2))),multiply(identity,X2))),inverse(identity)) = X1,
    inference(paramodulation,[status(thm)],[f15,f12]) ).

fof(f179,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,multiply(identity,X2))),multiply(identity,inverse(X2)))),double_divide(double_divide(X3,X1),multiply(identity,identity))),inverse(identity)) = X3,
    inference(paramodulation,[status(thm)],[f17,f77]) ).

fof(f182,plain,
    ! [X0,X1] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(identity,double_divide(X0,X1)),inverse(X1))),identity),inverse(identity)) = identity,
    inference(paramodulation,[status(thm)],[f16,f77]) ).

fof(f183,plain,
    ! [X0,X1] : double_divide(inverse(double_divide(X0,double_divide(double_divide(identity,double_divide(X0,X1)),inverse(X1)))),inverse(identity)) = identity,
    inference(forward_demodulation,[status(thm)],[f8,f182]) ).

fof(f184,plain,
    ! [X0,X1] : double_divide(multiply(double_divide(double_divide(identity,double_divide(X0,X1)),inverse(X1)),X0),inverse(identity)) = identity,
    inference(forward_demodulation,[status(thm)],[f13,f183]) ).

fof(f189,plain,
    ! [X0,X1,X2,X3,X4] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X1))),double_divide(X2,multiply(identity,identity))),inverse(identity)) = double_divide(X3,double_divide(double_divide(X2,double_divide(X3,X4)),inverse(X4))),
    inference(paramodulation,[status(thm)],[f12,f77]) ).

fof(f198,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(identity),double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,X2)),inverse(X2))),double_divide(double_divide(X3,X1),multiply(identity,identity)))) = inverse(X3),
    inference(paramodulation,[status(thm)],[f77,f13]) ).

fof(f250,plain,
    ! [X0] : double_divide(double_divide(X0,identity),inverse(identity)) = X0,
    inference(paramodulation,[status(thm)],[f19,f82]) ).

fof(f251,plain,
    ! [X0] : double_divide(inverse(X0),inverse(identity)) = X0,
    inference(forward_demodulation,[status(thm)],[f8,f250]) ).

fof(f254,plain,
    ! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(multiply(X1,X2),multiply(identity,X0))),inverse(identity)) = double_divide(X2,X1),
    inference(paramodulation,[status(thm)],[f13,f82]) ).

fof(f272,plain,
    ! [X0,X1] : double_divide(multiply(X0,X1),inverse(identity)) = double_divide(X1,X0),
    inference(paramodulation,[status(thm)],[f13,f251]) ).

fof(f273,plain,
    ! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(inverse(identity),double_divide(X0,X1)),inverse(X1))),double_divide(X2,multiply(identity,identity))),inverse(identity)) = inverse(X2),
    inference(paramodulation,[status(thm)],[f251,f77]) ).

fof(f283,plain,
    ! [X0,X1] : double_divide(X0,double_divide(double_divide(identity,double_divide(X0,X1)),inverse(X1))) = identity,
    inference(backward_demodulation,[status(thm)],[f272,f184]) ).

fof(f286,plain,
    ! [X0,X1,X2] : inverse(X0) = double_divide(X1,double_divide(double_divide(X0,double_divide(X1,X2)),inverse(X2))),
    inference(backward_demodulation,[status(thm)],[f273,f189]) ).

fof(f299,plain,
    inverse(identity) = identity,
    inference(backward_demodulation,[status(thm)],[f286,f283]) ).

fof(f300,plain,
    ! [X0] : double_divide(double_divide(inverse(inverse(identity)),double_divide(X0,multiply(identity,identity))),inverse(identity)) = inverse(X0),
    inference(backward_demodulation,[status(thm)],[f286,f273]) ).

fof(f301,plain,
    ! [X0] : double_divide(double_divide(multiply(identity,identity),double_divide(X0,multiply(identity,identity))),inverse(identity)) = inverse(X0),
    inference(forward_demodulation,[status(thm)],[f15,f300]) ).

fof(f302,plain,
    ! [X0] : double_divide(double_divide(multiply(identity,identity),double_divide(X0,multiply(identity,identity))),identity) = inverse(X0),
    inference(forward_demodulation,[status(thm)],[f299,f301]) ).

fof(f303,plain,
    ! [X0] : inverse(double_divide(multiply(identity,identity),double_divide(X0,multiply(identity,identity)))) = inverse(X0),
    inference(forward_demodulation,[status(thm)],[f8,f302]) ).

fof(f304,plain,
    ! [X0] : multiply(double_divide(X0,multiply(identity,identity)),multiply(identity,identity)) = inverse(X0),
    inference(forward_demodulation,[status(thm)],[f13,f303]) ).

fof(f314,plain,
    ! [X0,X1] : multiply(inverse(identity),double_divide(inverse(X0),double_divide(double_divide(X1,X0),multiply(identity,identity)))) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f286,f198]) ).

fof(f315,plain,
    ! [X0,X1] : multiply(identity,double_divide(inverse(X0),double_divide(double_divide(X1,X0),multiply(identity,identity)))) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f299,f314]) ).

fof(f316,plain,
    ! [X0,X1] : inverse(multiply(double_divide(double_divide(X0,X1),multiply(identity,identity)),inverse(X1))) = inverse(X0),
    inference(forward_demodulation,[status(thm)],[f18,f315]) ).

fof(f323,plain,
    ! [X0] : double_divide(inverse(X0),identity) = X0,
    inference(backward_demodulation,[status(thm)],[f299,f251]) ).

fof(f324,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f8,f323]) ).

fof(f325,plain,
    ! [X0] : multiply(identity,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f15,f324]) ).

fof(f341,plain,
    ! [X0,X1] : double_divide(multiply(X0,X1),identity) = double_divide(X1,X0),
    inference(backward_demodulation,[status(thm)],[f299,f272]) ).

fof(f342,plain,
    ! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
    inference(forward_demodulation,[status(thm)],[f8,f341]) ).

fof(f343,plain,
    ! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(multiply(X1,X2),multiply(identity,X0))),identity) = double_divide(X2,X1),
    inference(backward_demodulation,[status(thm)],[f299,f254]) ).

fof(f344,plain,
    ! [X0,X1,X2] : inverse(double_divide(X0,double_divide(multiply(X1,X2),multiply(identity,X0)))) = double_divide(X2,X1),
    inference(forward_demodulation,[status(thm)],[f8,f343]) ).

fof(f345,plain,
    ! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),multiply(identity,X2)),X2) = double_divide(X1,X0),
    inference(forward_demodulation,[status(thm)],[f13,f344]) ).

fof(f346,plain,
    ! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),X2),X2) = double_divide(X1,X0),
    inference(forward_demodulation,[status(thm)],[f325,f345]) ).

fof(f364,plain,
    ! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,multiply(identity,X2))),multiply(identity,inverse(X2)))),double_divide(double_divide(X3,X1),multiply(identity,identity))),identity) = X3,
    inference(backward_demodulation,[status(thm)],[f299,f179]) ).

fof(f365,plain,
    ! [X0,X1,X2,X3] : inverse(double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,multiply(identity,X2))),multiply(identity,inverse(X2)))),double_divide(double_divide(X3,X1),multiply(identity,identity)))) = X3,
    inference(forward_demodulation,[status(thm)],[f8,f364]) ).

fof(f366,plain,
    ! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),multiply(identity,identity)),double_divide(X2,double_divide(double_divide(X1,double_divide(X2,multiply(identity,X3))),multiply(identity,inverse(X3))))) = X0,
    inference(forward_demodulation,[status(thm)],[f13,f365]) ).

fof(f367,plain,
    ! [X0,X1,X2,X3] : multiply(double_divide(double_divide(X0,X1),identity),double_divide(X2,double_divide(double_divide(X1,double_divide(X2,multiply(identity,X3))),multiply(identity,inverse(X3))))) = X0,
    inference(forward_demodulation,[status(thm)],[f325,f366]) ).

fof(f368,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(double_divide(X0,X1)),double_divide(X2,double_divide(double_divide(X1,double_divide(X2,multiply(identity,X3))),multiply(identity,inverse(X3))))) = X0,
    inference(forward_demodulation,[status(thm)],[f8,f367]) ).

fof(f369,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X2,double_divide(double_divide(X0,double_divide(X2,multiply(identity,X3))),multiply(identity,inverse(X3))))) = X1,
    inference(forward_demodulation,[status(thm)],[f13,f368]) ).

fof(f370,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X2,double_divide(double_divide(X0,double_divide(X2,X3)),multiply(identity,inverse(X3))))) = X1,
    inference(forward_demodulation,[status(thm)],[f325,f369]) ).

fof(f371,plain,
    ! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X2,double_divide(double_divide(X0,double_divide(X2,X3)),inverse(X3)))) = X1,
    inference(forward_demodulation,[status(thm)],[f325,f370]) ).

fof(f372,plain,
    ! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
    inference(forward_demodulation,[status(thm)],[f286,f371]) ).

fof(f392,plain,
    ! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,inverse(X2))),multiply(identity,X2))),identity) = X1,
    inference(backward_demodulation,[status(thm)],[f299,f85]) ).

fof(f393,plain,
    ! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(X1,double_divide(X0,inverse(X2))),multiply(identity,X2)))) = X1,
    inference(forward_demodulation,[status(thm)],[f8,f392]) ).

fof(f394,plain,
    ! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,inverse(X2))),multiply(identity,X2)),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f13,f393]) ).

fof(f395,plain,
    ! [X0,X1,X2] : multiply(double_divide(double_divide(X0,double_divide(X1,inverse(X2))),X2),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f325,f394]) ).

fof(f401,plain,
    ! [X0,X1] : double_divide(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity))),identity) = X1,
    inference(backward_demodulation,[status(thm)],[f299,f83]) ).

fof(f402,plain,
    ! [X0,X1] : inverse(double_divide(X0,double_divide(double_divide(X1,inverse(X0)),inverse(identity)))) = X1,
    inference(forward_demodulation,[status(thm)],[f8,f401]) ).

fof(f403,plain,
    ! [X0,X1] : multiply(double_divide(double_divide(X0,inverse(X1)),inverse(identity)),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f13,f402]) ).

fof(f404,plain,
    ! [X0,X1] : multiply(double_divide(double_divide(X0,inverse(X1)),identity),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f299,f403]) ).

fof(f405,plain,
    ! [X0,X1] : multiply(inverse(double_divide(X0,inverse(X1))),X1) = X0,
    inference(forward_demodulation,[status(thm)],[f8,f404]) ).

fof(f406,plain,
    ! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
    inference(forward_demodulation,[status(thm)],[f13,f405]) ).

fof(f420,plain,
    ! [X0] : identity = double_divide(inverse(X0),X0),
    inference(backward_demodulation,[status(thm)],[f325,f19]) ).

fof(f423,plain,
    ! [X0,X1] : inverse(multiply(double_divide(double_divide(X0,X1),identity),inverse(X1))) = inverse(X0),
    inference(backward_demodulation,[status(thm)],[f325,f316]) ).

fof(f424,plain,
    ! [X0,X1] : double_divide(inverse(X0),double_divide(double_divide(X1,X0),identity)) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f342,f423]) ).

fof(f425,plain,
    ! [X0,X1] : double_divide(inverse(X0),inverse(double_divide(X1,X0))) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f8,f424]) ).

fof(f426,plain,
    ! [X0,X1] : double_divide(inverse(X0),multiply(X0,X1)) = inverse(X1),
    inference(forward_demodulation,[status(thm)],[f13,f425]) ).

fof(f434,plain,
    ! [X0] : multiply(double_divide(X0,multiply(identity,identity)),identity) = inverse(X0),
    inference(backward_demodulation,[status(thm)],[f325,f304]) ).

fof(f435,plain,
    ! [X0] : multiply(double_divide(X0,identity),identity) = inverse(X0),
    inference(forward_demodulation,[status(thm)],[f325,f434]) ).

fof(f436,plain,
    ! [X0] : multiply(inverse(X0),identity) = inverse(X0),
    inference(forward_demodulation,[status(thm)],[f8,f435]) ).

fof(f475,plain,
    ! [X0] : multiply(X0,inverse(X0)) = inverse(identity),
    inference(paramodulation,[status(thm)],[f420,f13]) ).

fof(f476,plain,
    ! [X0] : multiply(X0,inverse(X0)) = identity,
    inference(forward_demodulation,[status(thm)],[f299,f475]) ).

fof(f501,plain,
    ! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
    inference(paramodulation,[status(thm)],[f476,f406]) ).

fof(f502,plain,
    ! [X0] : X0 = inverse(inverse(X0)),
    inference(forward_demodulation,[status(thm)],[f325,f501]) ).

fof(f505,plain,
    ! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),double_divide(X1,X0)) = X2,
    inference(paramodulation,[status(thm)],[f13,f406]) ).

fof(f514,plain,
    ! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
    inference(paramodulation,[status(thm)],[f502,f436]) ).

fof(f515,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(forward_demodulation,[status(thm)],[f502,f514]) ).

fof(f527,plain,
    ! [X0] : identity = double_divide(double_divide(identity,X0),X0),
    inference(paramodulation,[status(thm)],[f515,f16]) ).

fof(f558,plain,
    ! [X0] : multiply(X0,double_divide(identity,X0)) = inverse(identity),
    inference(paramodulation,[status(thm)],[f527,f13]) ).

fof(f559,plain,
    ! [X0] : multiply(X0,double_divide(identity,X0)) = identity,
    inference(forward_demodulation,[status(thm)],[f299,f558]) ).

fof(f570,plain,
    ! [X0] : multiply(identity,X0) = double_divide(identity,inverse(X0)),
    inference(paramodulation,[status(thm)],[f559,f406]) ).

fof(f571,plain,
    ! [X0] : X0 = double_divide(identity,inverse(X0)),
    inference(forward_demodulation,[status(thm)],[f325,f570]) ).

fof(f627,plain,
    ! [X0] : inverse(X0) = double_divide(identity,X0),
    inference(paramodulation,[status(thm)],[f502,f571]) ).

fof(f634,plain,
    ! [X0,X1] : inverse(X0) = double_divide(identity,double_divide(double_divide(X0,X1),inverse(inverse(X1)))),
    inference(paramodulation,[status(thm)],[f571,f286]) ).

fof(f635,plain,
    ! [X0,X1] : inverse(X0) = inverse(double_divide(double_divide(X0,X1),inverse(inverse(X1)))),
    inference(forward_demodulation,[status(thm)],[f627,f634]) ).

fof(f636,plain,
    ! [X0,X1] : inverse(X0) = multiply(inverse(inverse(X1)),double_divide(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f13,f635]) ).

fof(f637,plain,
    ! [X0,X1] : inverse(X0) = multiply(X1,double_divide(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f502,f636]) ).

fof(f712,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = double_divide(X0,inverse(X1)),
    inference(paramodulation,[status(thm)],[f637,f406]) ).

fof(f719,plain,
    ! [X0,X1] : multiply(double_divide(X0,inverse(X1)),X0) = X1,
    inference(backward_demodulation,[status(thm)],[f712,f406]) ).

fof(f732,plain,
    ! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
    inference(paramodulation,[status(thm)],[f502,f719]) ).

fof(f759,plain,
    ! [X0,X1,X2] : multiply(double_divide(X0,X1),X1) = double_divide(inverse(X2),multiply(X2,X0)),
    inference(paramodulation,[status(thm)],[f372,f346]) ).

fof(f760,plain,
    ! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
    inference(forward_demodulation,[status(thm)],[f426,f759]) ).

fof(f768,plain,
    ! [X0,X1,X2] : multiply(double_divide(inverse(X0),X1),X1) = double_divide(double_divide(X0,X2),X2),
    inference(paramodulation,[status(thm)],[f637,f346]) ).

fof(f769,plain,
    ! [X0,X1] : inverse(inverse(X0)) = double_divide(double_divide(X0,X1),X1),
    inference(forward_demodulation,[status(thm)],[f760,f768]) ).

fof(f770,plain,
    ! [X0,X1] : X0 = double_divide(double_divide(X0,X1),X1),
    inference(forward_demodulation,[status(thm)],[f502,f769]) ).

fof(f778,plain,
    ! [X0,X1,X2] : multiply(double_divide(X0,X1),inverse(double_divide(multiply(X1,X0),X2))) = X2,
    inference(paramodulation,[status(thm)],[f346,f372]) ).

fof(f779,plain,
    ! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X2,multiply(X1,X0))) = X2,
    inference(forward_demodulation,[status(thm)],[f13,f778]) ).

fof(f803,plain,
    ! [X0,X1,X2] : inverse(double_divide(X0,double_divide(X1,X2))) = double_divide(X1,double_divide(X0,inverse(X2))),
    inference(paramodulation,[status(thm)],[f770,f286]) ).

fof(f804,plain,
    ! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = double_divide(X0,double_divide(X2,inverse(X1))),
    inference(forward_demodulation,[status(thm)],[f13,f803]) ).

fof(f827,plain,
    ! [X0,X1,X2] : multiply(double_divide(multiply(double_divide(X0,X1),X2),X1),X2) = X0,
    inference(backward_demodulation,[status(thm)],[f804,f395]) ).

fof(f854,plain,
    ! [X0,X1] : multiply(inverse(X0),inverse(double_divide(X1,X0))) = X1,
    inference(paramodulation,[status(thm)],[f732,f372]) ).

fof(f855,plain,
    ! [X0,X1] : double_divide(X0,inverse(inverse(double_divide(X1,X0)))) = X1,
    inference(forward_demodulation,[status(thm)],[f712,f854]) ).

fof(f856,plain,
    ! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
    inference(forward_demodulation,[status(thm)],[f502,f855]) ).

fof(f894,plain,
    ! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X0,X1)),
    inference(paramodulation,[status(thm)],[f856,f732]) ).

fof(f895,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(forward_demodulation,[status(thm)],[f13,f894]) ).

fof(f977,plain,
    multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
    inference(paramodulation,[status(thm)],[f895,f10]) ).

fof(f1112,plain,
    ! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(multiply(X1,X0),X2)) = X2,
    inference(paramodulation,[status(thm)],[f895,f505]) ).

fof(f1163,plain,
    ! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),double_divide(X0,X1)) = X2,
    inference(paramodulation,[status(thm)],[f895,f505]) ).

fof(f1164,plain,
    ! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(multiply(X0,X1),X2)) = X2,
    inference(forward_demodulation,[status(thm)],[f895,f1163]) ).

fof(f2137,plain,
    ! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(multiply(X1,X2),X0)) = X2,
    inference(paramodulation,[status(thm)],[f1112,f827]) ).

fof(f2389,plain,
    ! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X2)),multiply(X3,X0)) = multiply(multiply(X2,X3),X1),
    inference(paramodulation,[status(thm)],[f2137,f2137]) ).

fof(f2390,plain,
    ! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X2)),multiply(X3,X0)) = multiply(multiply(X1,X2),X3),
    inference(paramodulation,[status(thm)],[f1164,f2137]) ).

fof(f2391,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X2,X0),X1),
    inference(forward_demodulation,[status(thm)],[f2389,f2390]) ).

fof(f2818,plain,
    ! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X2)),multiply(X3,X0)) = multiply(X3,multiply(X2,X1)),
    inference(paramodulation,[status(thm)],[f779,f2137]) ).

fof(f2819,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X1,multiply(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f2389,f2818]) ).

fof(f2903,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
    inference(backward_demodulation,[status(thm)],[f2819,f2391]) ).

fof(f2904,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X2,X0)),
    inference(forward_demodulation,[status(thm)],[f2819,f2903]) ).

fof(f2905,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f977,f2904]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : GRP571-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n008.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue Apr 30 00:23:12 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % Drodi V3.6.0
% 0.15/0.50  % Refutation found
% 0.15/0.50  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.50  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.52  % Elapsed time: 0.208560 seconds
% 0.15/0.52  % CPU time: 1.584398 seconds
% 0.15/0.52  % Total memory used: 40.088 MB
% 0.15/0.52  % Net memory used: 37.893 MB
%------------------------------------------------------------------------------