TSTP Solution File: GRP583-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP583-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 : Wed May 31 12:12:07 EDT 2023
% Result : Unsatisfiable 2.67s 0.75s
% Output : CNFRefutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 5
% Syntax : Number of formulae : 158 ( 158 unt; 0 def)
% Number of atoms : 158 ( 157 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 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 : 264 (; 264 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),double_divide(identity,identity)) = X2,
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(identity,X1),double_divide(X2,double_divide(X1,X0)))),inverse(identity)) = X2,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f12,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f14,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f12]) ).
fof(f15,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f12,f9]) ).
fof(f17,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f14,f14]) ).
fof(f18,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f12,f14]) ).
fof(f20,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f14,f9]) ).
fof(f70,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(identity,double_divide(X1,double_divide(inverse(identity),X0)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f71,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f72,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2))),inverse(identity)) = X3,
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f77,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),double_divide(X1,identity))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f78,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),double_divide(double_divide(identity,X0),inverse(X1))),inverse(identity)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f77]) ).
fof(f79,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0)))),inverse(identity)) = X1,
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f147,plain,
! [X0] : double_divide(double_divide(multiply(identity,identity),double_divide(identity,double_divide(X0,identity))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f20,f70]) ).
fof(f148,plain,
! [X0] : double_divide(double_divide(multiply(identity,identity),double_divide(identity,inverse(X0))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f147]) ).
fof(f152,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,inverse(inverse(identity))))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f8,f70]) ).
fof(f153,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,multiply(identity,identity)))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f14,f152]) ).
fof(f162,plain,
double_divide(double_divide(multiply(identity,identity),identity),inverse(identity)) = identity,
inference(paramodulation,[status(thm)],[f9,f148]) ).
fof(f163,plain,
double_divide(inverse(multiply(identity,identity)),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f162]) ).
fof(f164,plain,
double_divide(multiply(identity,inverse(identity)),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f17,f163]) ).
fof(f178,plain,
! [X0] : double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,multiply(identity,inverse(identity))),double_divide(X0,identity))),inverse(identity)) = X0,
inference(paramodulation,[status(thm)],[f164,f11]) ).
fof(f179,plain,
! [X0] : double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,multiply(identity,inverse(identity))),inverse(X0))),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f178]) ).
fof(f201,plain,
! [X0] : double_divide(double_divide(inverse(X0),identity),inverse(identity)) = double_divide(identity,X0),
inference(paramodulation,[status(thm)],[f9,f78]) ).
fof(f202,plain,
! [X0] : double_divide(inverse(inverse(X0)),inverse(identity)) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f201]) ).
fof(f203,plain,
! [X0] : double_divide(multiply(identity,X0),inverse(identity)) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f14,f202]) ).
fof(f221,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,X1)),inverse(identity)) = double_divide(identity,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f18,f203]) ).
fof(f227,plain,
! [X0] : multiply(inverse(identity),multiply(identity,X0)) = inverse(double_divide(identity,X0)),
inference(paramodulation,[status(thm)],[f203,f12]) ).
fof(f228,plain,
! [X0] : multiply(inverse(identity),multiply(identity,X0)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f12,f227]) ).
fof(f235,plain,
! [X0] : double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X0,double_divide(identity,identity)))),X0),inverse(identity)) = identity,
inference(paramodulation,[status(thm)],[f71,f78]) ).
fof(f236,plain,
! [X0] : double_divide(double_divide(multiply(double_divide(X0,double_divide(identity,identity)),inverse(identity)),X0),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f12,f235]) ).
fof(f237,plain,
! [X0] : double_divide(double_divide(multiply(double_divide(X0,inverse(identity)),inverse(identity)),X0),inverse(identity)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f236]) ).
fof(f246,plain,
! [X0,X1] : multiply(inverse(identity),inverse(multiply(X0,X1))) = multiply(double_divide(X1,X0),identity),
inference(paramodulation,[status(thm)],[f18,f228]) ).
fof(f341,plain,
double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(identity,identity),
inference(paramodulation,[status(thm)],[f15,f153]) ).
fof(f342,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(identity,identity),
inference(forward_demodulation,[status(thm)],[f8,f341]) ).
fof(f343,plain,
double_divide(identity,inverse(identity)) = double_divide(identity,identity),
inference(forward_demodulation,[status(thm)],[f9,f342]) ).
fof(f344,plain,
identity = double_divide(identity,identity),
inference(forward_demodulation,[status(thm)],[f9,f343]) ).
fof(f345,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f8,f344]) ).
fof(f371,plain,
! [X0] : double_divide(double_divide(identity,double_divide(identity,double_divide(X0,multiply(identity,identity)))),identity) = X0,
inference(backward_demodulation,[status(thm)],[f345,f153]) ).
fof(f372,plain,
! [X0] : inverse(double_divide(identity,double_divide(identity,double_divide(X0,multiply(identity,identity))))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f371]) ).
fof(f373,plain,
! [X0] : multiply(double_divide(identity,double_divide(X0,multiply(identity,identity))),identity) = X0,
inference(forward_demodulation,[status(thm)],[f12,f372]) ).
fof(f379,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,X1)),identity) = double_divide(identity,double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f345,f221]) ).
fof(f380,plain,
! [X0,X1] : inverse(inverse(multiply(X0,X1))) = double_divide(identity,double_divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f8,f379]) ).
fof(f381,plain,
! [X0,X1] : multiply(identity,multiply(X0,X1)) = double_divide(identity,double_divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f14,f380]) ).
fof(f382,plain,
! [X0,X1] : multiply(identity,inverse(multiply(X0,X1))) = multiply(double_divide(X1,X0),identity),
inference(backward_demodulation,[status(thm)],[f345,f246]) ).
fof(f383,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = multiply(X0,identity),
inference(backward_demodulation,[status(thm)],[f345,f228]) ).
fof(f384,plain,
! [X0] : double_divide(identity,double_divide(X0,identity)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f381,f383]) ).
fof(f385,plain,
! [X0] : double_divide(identity,inverse(X0)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f8,f384]) ).
fof(f386,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0)))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f345,f71]) ).
fof(f387,plain,
! [X0,X1] : inverse(double_divide(X0,double_divide(inverse(identity),double_divide(X1,double_divide(identity,X0))))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f386]) ).
fof(f388,plain,
! [X0,X1] : multiply(double_divide(inverse(identity),double_divide(X0,double_divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f12,f387]) ).
fof(f389,plain,
! [X0,X1] : multiply(double_divide(identity,double_divide(X0,double_divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f345,f388]) ).
fof(f390,plain,
! [X0] : double_divide(multiply(identity,X0),identity) = double_divide(identity,X0),
inference(backward_demodulation,[status(thm)],[f345,f203]) ).
fof(f391,plain,
! [X0] : inverse(multiply(identity,X0)) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f8,f390]) ).
fof(f392,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,X0),
inference(forward_demodulation,[status(thm)],[f17,f391]) ).
fof(f410,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),identity) = X2,
inference(backward_demodulation,[status(thm)],[f345,f11]) ).
fof(f411,plain,
! [X0,X1,X2] : inverse(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f410]) ).
fof(f412,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(identity,X0),double_divide(X1,double_divide(X0,X2))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f12,f411]) ).
fof(f447,plain,
! [X0] : double_divide(double_divide(multiply(double_divide(X0,inverse(identity)),inverse(identity)),X0),identity) = identity,
inference(backward_demodulation,[status(thm)],[f345,f237]) ).
fof(f448,plain,
! [X0] : inverse(double_divide(multiply(double_divide(X0,inverse(identity)),inverse(identity)),X0)) = identity,
inference(forward_demodulation,[status(thm)],[f8,f447]) ).
fof(f449,plain,
! [X0] : multiply(X0,multiply(double_divide(X0,inverse(identity)),inverse(identity))) = identity,
inference(forward_demodulation,[status(thm)],[f12,f448]) ).
fof(f450,plain,
! [X0] : multiply(X0,multiply(double_divide(X0,identity),inverse(identity))) = identity,
inference(forward_demodulation,[status(thm)],[f345,f449]) ).
fof(f451,plain,
! [X0] : multiply(X0,multiply(inverse(X0),inverse(identity))) = identity,
inference(forward_demodulation,[status(thm)],[f8,f450]) ).
fof(f452,plain,
! [X0] : multiply(X0,multiply(inverse(X0),identity)) = identity,
inference(forward_demodulation,[status(thm)],[f345,f451]) ).
fof(f478,plain,
! [X0] : double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,multiply(identity,inverse(identity))),inverse(X0))),identity) = X0,
inference(backward_demodulation,[status(thm)],[f345,f179]) ).
fof(f479,plain,
! [X0] : inverse(double_divide(inverse(identity),double_divide(double_divide(identity,multiply(identity,inverse(identity))),inverse(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f8,f478]) ).
fof(f480,plain,
! [X0] : multiply(double_divide(double_divide(identity,multiply(identity,inverse(identity))),inverse(X0)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f12,f479]) ).
fof(f481,plain,
! [X0] : multiply(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(X0)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f392,f480]) ).
fof(f482,plain,
! [X0] : multiply(double_divide(double_divide(identity,inverse(identity)),inverse(X0)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f481]) ).
fof(f483,plain,
! [X0] : multiply(double_divide(identity,inverse(X0)),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f9,f482]) ).
fof(f484,plain,
! [X0] : multiply(multiply(X0,identity),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f385,f483]) ).
fof(f485,plain,
! [X0] : multiply(multiply(X0,identity),identity) = X0,
inference(forward_demodulation,[status(thm)],[f345,f484]) ).
fof(f522,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0)))),identity) = X1,
inference(backward_demodulation,[status(thm)],[f345,f79]) ).
fof(f523,plain,
! [X0,X1] : inverse(double_divide(identity,double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0))))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f522]) ).
fof(f524,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0))),identity) = X1,
inference(forward_demodulation,[status(thm)],[f12,f523]) ).
fof(f532,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2))),identity) = X3,
inference(backward_demodulation,[status(thm)],[f345,f72]) ).
fof(f533,plain,
! [X0,X1,X2,X3] : inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2)))) = X3,
inference(forward_demodulation,[status(thm)],[f8,f532]) ).
fof(f534,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2)),inverse(identity)) = X3,
inference(forward_demodulation,[status(thm)],[f12,f533]) ).
fof(f535,plain,
! [X0,X1,X2,X3] : multiply(double_divide(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))),double_divide(X3,X2)),identity) = X3,
inference(forward_demodulation,[status(thm)],[f345,f534]) ).
fof(f559,plain,
! [X0,X1] : double_divide(identity,multiply(X0,X1)) = multiply(double_divide(X1,X0),identity),
inference(backward_demodulation,[status(thm)],[f392,f382]) ).
fof(f562,plain,
! [X0] : double_divide(identity,multiply(double_divide(X0,multiply(identity,identity)),identity)) = X0,
inference(backward_demodulation,[status(thm)],[f559,f373]) ).
fof(f563,plain,
! [X0] : double_divide(identity,double_divide(identity,multiply(multiply(identity,identity),X0))) = X0,
inference(forward_demodulation,[status(thm)],[f559,f562]) ).
fof(f569,plain,
! [X0,X1,X2,X3] : double_divide(identity,multiply(double_divide(X0,X1),double_divide(identity,double_divide(X2,double_divide(double_divide(identity,X3),double_divide(X1,double_divide(X3,X2))))))) = X0,
inference(backward_demodulation,[status(thm)],[f559,f535]) ).
fof(f571,plain,
! [X0,X1] : double_divide(identity,multiply(double_divide(X0,inverse(X1)),double_divide(identity,X1))) = X0,
inference(backward_demodulation,[status(thm)],[f559,f524]) ).
fof(f588,plain,
multiply(identity,identity) = inverse(identity),
inference(paramodulation,[status(thm)],[f345,f14]) ).
fof(f589,plain,
multiply(identity,identity) = identity,
inference(forward_demodulation,[status(thm)],[f345,f588]) ).
fof(f599,plain,
! [X0] : double_divide(identity,double_divide(identity,multiply(identity,X0))) = X0,
inference(backward_demodulation,[status(thm)],[f589,f563]) ).
fof(f609,plain,
! [X0,X1] : multiply(X0,identity) = double_divide(double_divide(identity,X1),double_divide(X0,double_divide(X1,identity))),
inference(paramodulation,[status(thm)],[f412,f485]) ).
fof(f610,plain,
! [X0,X1] : multiply(X0,identity) = double_divide(double_divide(identity,X1),double_divide(X0,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f8,f609]) ).
fof(f612,plain,
! [X0] : identity = double_divide(double_divide(identity,multiply(X0,identity)),X0),
inference(paramodulation,[status(thm)],[f485,f15]) ).
fof(f652,plain,
! [X0] : double_divide(identity,multiply(identity,X0)) = multiply(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f14,f385]) ).
fof(f663,plain,
! [X0] : multiply(inverse(X0),identity) = inverse(multiply(X0,identity)),
inference(paramodulation,[status(thm)],[f385,f12]) ).
fof(f664,plain,
! [X0] : double_divide(identity,multiply(inverse(X0),identity)) = X0,
inference(backward_demodulation,[status(thm)],[f652,f599]) ).
fof(f679,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X1,double_divide(multiply(inverse(X0),identity),X2))),X2) = X1,
inference(paramodulation,[status(thm)],[f664,f412]) ).
fof(f760,plain,
! [X0,X1] : multiply(double_divide(double_divide(identity,X0),identity),X1) = double_divide(identity,multiply(double_divide(X0,X1),identity)),
inference(paramodulation,[status(thm)],[f612,f412]) ).
fof(f761,plain,
! [X0,X1] : multiply(inverse(double_divide(identity,X0)),X1) = double_divide(identity,multiply(double_divide(X0,X1),identity)),
inference(forward_demodulation,[status(thm)],[f8,f760]) ).
fof(f762,plain,
! [X0,X1] : multiply(multiply(X0,identity),X1) = double_divide(identity,multiply(double_divide(X0,X1),identity)),
inference(forward_demodulation,[status(thm)],[f12,f761]) ).
fof(f763,plain,
! [X0,X1] : multiply(multiply(X0,identity),X1) = double_divide(identity,double_divide(identity,multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f559,f762]) ).
fof(f950,plain,
! [X0,X1,X2] : double_divide(identity,multiply(identity,double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0))))))) = double_divide(identity,multiply(X2,identity)),
inference(paramodulation,[status(thm)],[f612,f569]) ).
fof(f951,plain,
! [X0,X1,X2] : multiply(inverse(double_divide(identity,double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))))),identity) = double_divide(identity,multiply(X2,identity)),
inference(forward_demodulation,[status(thm)],[f652,f950]) ).
fof(f952,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))),identity),identity) = double_divide(identity,multiply(X2,identity)),
inference(forward_demodulation,[status(thm)],[f12,f951]) ).
fof(f953,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(double_divide(identity,X1),double_divide(X2,double_divide(X1,X0)))) = double_divide(identity,multiply(X2,identity)),
inference(forward_demodulation,[status(thm)],[f485,f952]) ).
fof(f1053,plain,
! [X0,X1,X2,X3] : multiply(identity,X0) = inverse(multiply(multiply(double_divide(X0,X1),double_divide(identity,double_divide(X2,double_divide(double_divide(identity,X3),double_divide(X1,double_divide(X3,X2)))))),identity)),
inference(paramodulation,[status(thm)],[f569,f18]) ).
fof(f1054,plain,
! [X0,X1,X2,X3] : multiply(identity,X0) = multiply(inverse(multiply(double_divide(X0,X1),double_divide(identity,double_divide(X2,double_divide(double_divide(identity,X3),double_divide(X1,double_divide(X3,X2))))))),identity),
inference(forward_demodulation,[status(thm)],[f663,f1053]) ).
fof(f1055,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(multiply(double_divide(X0,X1),double_divide(identity,double_divide(identity,multiply(X1,identity))))),identity),
inference(forward_demodulation,[status(thm)],[f953,f1054]) ).
fof(f1056,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(multiply(double_divide(X0,X1),multiply(multiply(identity,identity),X1))),identity),
inference(forward_demodulation,[status(thm)],[f763,f1055]) ).
fof(f1057,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(multiply(double_divide(X0,X1),multiply(identity,X1))),identity),
inference(forward_demodulation,[status(thm)],[f589,f1056]) ).
fof(f1210,plain,
! [X0,X1] : multiply(double_divide(identity,double_divide(X0,multiply(inverse(X1),identity))),multiply(identity,X1)) = X0,
inference(paramodulation,[status(thm)],[f652,f389]) ).
fof(f1308,plain,
! [X0] : multiply(identity,identity) = double_divide(identity,double_divide(multiply(inverse(X0),identity),X0)),
inference(paramodulation,[status(thm)],[f452,f381]) ).
fof(f1309,plain,
! [X0] : identity = double_divide(identity,double_divide(multiply(inverse(X0),identity),X0)),
inference(forward_demodulation,[status(thm)],[f589,f1308]) ).
fof(f1437,plain,
! [X0] : multiply(identity,X0) = multiply(inverse(double_divide(identity,X0)),identity),
inference(paramodulation,[status(thm)],[f1309,f389]) ).
fof(f1438,plain,
! [X0] : multiply(identity,X0) = multiply(multiply(X0,identity),identity),
inference(forward_demodulation,[status(thm)],[f12,f1437]) ).
fof(f1439,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f485,f1438]) ).
fof(f1488,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(identity,double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1439,f381]) ).
fof(f1489,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(backward_demodulation,[status(thm)],[f1439,f392]) ).
fof(f1490,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[status(thm)],[f1439,f18]) ).
fof(f1492,plain,
! [X0] : double_divide(identity,X0) = multiply(inverse(X0),identity),
inference(backward_demodulation,[status(thm)],[f1439,f652]) ).
fof(f1493,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f1489,f1492]) ).
fof(f1518,plain,
! [X0,X1] : multiply(double_divide(identity,double_divide(X0,multiply(inverse(X1),identity))),X1) = X0,
inference(backward_demodulation,[status(thm)],[f1439,f1210]) ).
fof(f1519,plain,
! [X0,X1] : multiply(multiply(multiply(inverse(X0),identity),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f1488,f1518]) ).
fof(f1520,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f1493,f1519]) ).
fof(f1524,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(multiply(double_divide(X0,X1),X1)),identity),
inference(backward_demodulation,[status(thm)],[f1439,f1057]) ).
fof(f1525,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(double_divide(X0,X1),X1)),identity),
inference(forward_demodulation,[status(thm)],[f1439,f1524]) ).
fof(f1526,plain,
! [X0,X1] : X0 = inverse(multiply(double_divide(X0,X1),X1)),
inference(forward_demodulation,[status(thm)],[f1493,f1525]) ).
fof(f1527,plain,
! [X0,X1] : X0 = double_divide(X1,double_divide(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1490,f1526]) ).
fof(f1592,plain,
! [X0,X1] : multiply(multiply(X0,identity),X1) = multiply(multiply(X1,X0),identity),
inference(backward_demodulation,[status(thm)],[f1488,f763]) ).
fof(f1635,plain,
! [X0,X1] : inverse(multiply(double_divide(X0,inverse(X1)),double_divide(identity,X1))) = X0,
inference(backward_demodulation,[status(thm)],[f1489,f571]) ).
fof(f1636,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(X1,inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f1490,f1635]) ).
fof(f1637,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f610,f1636]) ).
fof(f1696,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X1,double_divide(inverse(X0),X2))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f1493,f679]) ).
fof(f1700,plain,
! [X0,X1] : multiply(multiply(X0,identity),X1) = multiply(X1,X0),
inference(backward_demodulation,[status(thm)],[f1637,f1592]) ).
fof(f1701,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f1637,f1700]) ).
fof(f1741,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f1489,f12]) ).
fof(f1742,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1637,f1741]) ).
fof(f1767,plain,
! [X0,X1] : X0 = double_divide(double_divide(X1,X0),X1),
inference(paramodulation,[status(thm)],[f1527,f1527]) ).
fof(f1827,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f1701,f1490]) ).
fof(f1828,plain,
! [X0,X1] : double_divide(X0,X1) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f1490,f1827]) ).
fof(f1848,plain,
! [X0,X1] : X0 = double_divide(double_divide(X0,X1),X1),
inference(paramodulation,[status(thm)],[f1828,f1767]) ).
fof(f1919,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f1848,f12]) ).
fof(f2085,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(X0,inverse(X1)),
inference(paramodulation,[status(thm)],[f1919,f1520]) ).
fof(f2226,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X1,X2)),double_divide(X2,inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f1527,f1696]) ).
fof(f2603,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(X1,X0),inverse(X2)),
inference(paramodulation,[status(thm)],[f12,f2085]) ).
fof(f3414,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),double_divide(X1,X2)),double_divide(X2,X0)) = X1,
inference(paramodulation,[status(thm)],[f1742,f2226]) ).
fof(f3415,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(X0,X1),inverse(X2)),double_divide(X1,X2)) = X0,
inference(forward_demodulation,[status(thm)],[f1828,f3414]) ).
fof(f3416,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,X1),X2),double_divide(X0,X2)) = X1,
inference(forward_demodulation,[status(thm)],[f2603,f3415]) ).
fof(f3417,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(multiply(X0,X2),X1)) = X2,
inference(forward_demodulation,[status(thm)],[f1701,f3416]) ).
fof(f4162,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(double_divide(X0,X1),X2),X1)) = X2,
inference(paramodulation,[status(thm)],[f1848,f3417]) ).
fof(f6535,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f3417,f4162]) ).
fof(f6536,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f10,f6535]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP583-1 : TPTP v8.1.2. Released v2.6.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue May 30 11:24:52 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 2.67/0.75 % Refutation found
% 2.67/0.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.67/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.95/0.79 % Elapsed time: 0.443141 seconds
% 2.95/0.79 % CPU time: 2.998544 seconds
% 2.95/0.79 % Memory used: 39.182 MB
%------------------------------------------------------------------------------