TSTP Solution File: GRP601-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : 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 : Wed May 31 12:12:10 EDT 2023
% Result : Unsatisfiable 0.14s 0.45s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 3
% Syntax : Number of formulae : 145 ( 145 unt; 0 def)
% Number of atoms : 145 ( 144 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 503 (; 503 !; 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,
! [X0,X1,X2] : multiply(X0,inverse(double_divide(X1,inverse(double_divide(X2,double_divide(X1,X0)))))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(double_divide(X1,double_divide(X2,X0))),X2)) = 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(X0,multiply(X1,X2)) = multiply(multiply(double_divide(X3,double_divide(X2,X0)),X1),X3),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f13,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,multiply(X2,X0))) = X2,
inference(paramodulation,[status(thm)],[f10,f9]) ).
fof(f14,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),X0) = X2,
inference(paramodulation,[status(thm)],[f13,f13]) ).
fof(f26,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(multiply(X0,X3),double_divide(X3,X2)),
inference(paramodulation,[status(thm)],[f14,f13]) ).
fof(f27,plain,
! [X0,X1,X2,X3] : X0 = double_divide(multiply(multiply(multiply(double_divide(X1,X0),X2),X1),X3),double_divide(X3,X2)),
inference(paramodulation,[status(thm)],[f14,f26]) ).
fof(f28,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,X2),double_divide(X2,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f13,f26]) ).
fof(f32,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,double_divide(X1,X2)),X3) = double_divide(multiply(X0,X4),double_divide(X4,multiply(X2,multiply(X3,X1)))),
inference(paramodulation,[status(thm)],[f13,f26]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(X0,multiply(double_divide(X1,double_divide(X2,X3)),X4)),multiply(X3,multiply(X4,X2))) = double_divide(multiply(X0,X5),double_divide(X5,X1)),
inference(paramodulation,[status(thm)],[f10,f26]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),X2) = double_divide(multiply(X0,X3),double_divide(X3,multiply(multiply(double_divide(X4,X1),X2),X4))),
inference(paramodulation,[status(thm)],[f9,f26]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(X3,double_divide(multiply(multiply(double_divide(X4,X0),X3),X4),X2)),
inference(paramodulation,[status(thm)],[f9,f26]) ).
fof(f58,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X2,X0)) = inverse(multiply(double_divide(X2,X3),multiply(X3,X1))),
inference(paramodulation,[status(thm)],[f26,f5]) ).
fof(f74,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(X1,X2)),X3),X0) = double_divide(X2,multiply(X3,X1)),
inference(paramodulation,[status(thm)],[f28,f14]) ).
fof(f78,plain,
! [X0,X1,X2] : multiply(double_divide(X0,multiply(X1,X2)),multiply(X2,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f28,f5]) ).
fof(f96,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(inverse(X0),X2)) = multiply(X1,X2),
inference(paramodulation,[status(thm)],[f78,f9]) ).
fof(f97,plain,
! [X0,X1,X2] : multiply(double_divide(X0,double_divide(X0,multiply(X1,X2))),inverse(X1)) = X2,
inference(paramodulation,[status(thm)],[f78,f13]) ).
fof(f101,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,double_divide(X1,multiply(X2,X3))),inverse(X2)) = double_divide(multiply(X0,X4),double_divide(X4,multiply(X3,X1))),
inference(paramodulation,[status(thm)],[f78,f26]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),multiply(inverse(double_divide(X0,X3)),X4)) = multiply(multiply(X3,X2),X4),
inference(paramodulation,[status(thm)],[f26,f96]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),double_divide(X1,X2)),multiply(multiply(X3,X0),X4)) = multiply(multiply(X3,X2),X4),
inference(forward_demodulation,[status(thm)],[f5,f110]) ).
fof(f115,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(X1),X2)) = multiply(multiply(multiply(double_divide(X3,X1),X0),X3),X2),
inference(paramodulation,[status(thm)],[f9,f96]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(multiply(X0,X1),X2),multiply(X2,X3)) = double_divide(multiply(X1,X4),double_divide(multiply(inverse(X0),X4),X3)),
inference(paramodulation,[status(thm)],[f96,f26]) ).
fof(f136,plain,
! [X0,X1,X2] : X0 = double_divide(multiply(X1,multiply(inverse(X0),X2)),double_divide(X2,X1)),
inference(backward_demodulation,[status(thm)],[f115,f27]) ).
fof(f138,plain,
! [X0,X1,X2] : X0 = double_divide(inverse(X1),double_divide(X2,double_divide(X2,multiply(X1,inverse(X0))))),
inference(paramodulation,[status(thm)],[f78,f136]) ).
fof(f139,plain,
! [X0,X1,X2] : X0 = double_divide(X1,double_divide(multiply(X1,X2),double_divide(X2,inverse(X0)))),
inference(paramodulation,[status(thm)],[f13,f136]) ).
fof(f148,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X3,X1),multiply(X0,multiply(inverse(X3),X2))),
inference(paramodulation,[status(thm)],[f136,f10]) ).
fof(f152,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(X1,multiply(inverse(X2),X3))),X2),X0) = double_divide(X3,X1),
inference(paramodulation,[status(thm)],[f136,f14]) ).
fof(f153,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X1),multiply(X0,X2)) = double_divide(X1,X2),
inference(forward_demodulation,[status(thm)],[f74,f152]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(X2,multiply(X1,multiply(inverse(X3),X0)))) = multiply(multiply(double_divide(X4,X3),X2),X4),
inference(paramodulation,[status(thm)],[f136,f10]) ).
fof(f172,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,X1),X2),X0) = double_divide(multiply(X1,X3),double_divide(X3,inverse(X2))),
inference(paramodulation,[status(thm)],[f139,f14]) ).
fof(f177,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,X2)) = double_divide(multiply(multiply(double_divide(X3,inverse(X1)),X0),X3),X2),
inference(paramodulation,[status(thm)],[f9,f153]) ).
fof(f184,plain,
! [X0,X1,X2,X3] : double_divide(multiply(inverse(double_divide(X0,X1)),X2),X3) = double_divide(X2,multiply(X1,multiply(X3,X0))),
inference(paramodulation,[status(thm)],[f13,f153]) ).
fof(f185,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(X0,X1),X2),X3) = double_divide(X2,multiply(X0,multiply(X3,X1))),
inference(forward_demodulation,[status(thm)],[f5,f184]) ).
fof(f190,plain,
! [X0,X1,X2,X3] : double_divide(multiply(inverse(multiply(X0,X1)),X2),multiply(X1,X3)) = double_divide(X2,multiply(inverse(X0),X3)),
inference(paramodulation,[status(thm)],[f96,f153]) ).
fof(f191,plain,
! [X0,X1,X2,X3] : double_divide(multiply(inverse(X0),X1),X2) = double_divide(X1,multiply(multiply(double_divide(X3,X0),X2),X3)),
inference(paramodulation,[status(thm)],[f9,f153]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(multiply(X2,X1),X3)) = double_divide(multiply(multiply(inverse(X2),X0),X4),double_divide(X4,X3)),
inference(paramodulation,[status(thm)],[f153,f26]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(multiply(X2,X1),X3)) = double_divide(X4,multiply(inverse(X2),multiply(double_divide(X4,X3),X0))),
inference(forward_demodulation,[status(thm)],[f185,f197]) ).
fof(f199,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,multiply(inverse(X1),X2)),double_divide(X2,X3)),X0) = multiply(X1,X3),
inference(paramodulation,[status(thm)],[f153,f14]) ).
fof(f200,plain,
! [X0,X1,X2] : double_divide(X0,multiply(double_divide(X0,X1),inverse(X2))) = multiply(X2,X1),
inference(forward_demodulation,[status(thm)],[f74,f199]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1),multiply(X2,multiply(inverse(X0),X3))) = multiply(multiply(double_divide(X4,double_divide(X3,X1)),X2),X4),
inference(paramodulation,[status(thm)],[f153,f10]) ).
fof(f204,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(multiply(double_divide(X3,double_divide(X2,X1)),X0),X3),
inference(forward_demodulation,[status(thm)],[f148,f203]) ).
fof(f205,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f10,f204]) ).
fof(f215,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,X2)) = double_divide(X3,multiply(double_divide(X3,inverse(X1)),multiply(X2,X0))),
inference(backward_demodulation,[status(thm)],[f185,f177]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(X1,X2)) = double_divide(X3,double_divide(X4,multiply(double_divide(X4,X0),multiply(X2,X3)))),
inference(backward_demodulation,[status(thm)],[f185,f41]) ).
fof(f220,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(X3,double_divide(X4,multiply(double_divide(X4,X1),multiply(X2,X3)))),
inference(forward_demodulation,[status(thm)],[f205,f219]) ).
fof(f230,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),X2) = double_divide(multiply(X0,X3),double_divide(multiply(inverse(X1),X3),X2)),
inference(backward_demodulation,[status(thm)],[f191,f35]) ).
fof(f235,plain,
! [X0,X1,X2,X3] : multiply(double_divide(multiply(X0,X1),X2),multiply(X2,X3)) = multiply(double_divide(X1,X0),X3),
inference(backward_demodulation,[status(thm)],[f230,f123]) ).
fof(f236,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(X1,X2),X0),X3)) = multiply(double_divide(X2,X1),X3),
inference(forward_demodulation,[status(thm)],[f205,f235]) ).
fof(f237,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),X1),X2) = multiply(X0,double_divide(X1,X2)),
inference(paramodulation,[status(thm)],[f14,f200]) ).
fof(f247,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,inverse(X2))) = multiply(X2,double_divide(multiply(X0,X3),double_divide(X3,inverse(X1)))),
inference(paramodulation,[status(thm)],[f139,f200]) ).
fof(f248,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(double_divide(X0,X1),multiply(X2,X3))) = multiply(double_divide(X3,X2),X1),
inference(paramodulation,[status(thm)],[f5,f200]) ).
fof(f266,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,multiply(X0,X2))) = double_divide(X1,X2),
inference(backward_demodulation,[status(thm)],[f237,f153]) ).
fof(f268,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),double_divide(X2,multiply(X1,X3))) = double_divide(X2,multiply(inverse(X0),X3)),
inference(backward_demodulation,[status(thm)],[f237,f190]) ).
fof(f284,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,X2)) = multiply(double_divide(X0,X2),inverse(X1)),
inference(backward_demodulation,[status(thm)],[f248,f215]) ).
fof(f291,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(X3,multiply(double_divide(X3,X2),X1)),
inference(backward_demodulation,[status(thm)],[f248,f220]) ).
fof(f295,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(X0,multiply(X1,X2))) = multiply(X1,X2),
inference(backward_demodulation,[status(thm)],[f284,f200]) ).
fof(f296,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,multiply(X1,double_divide(X2,multiply(X1,X3)))) = double_divide(multiply(X0,X4),double_divide(X4,multiply(X3,X2))),
inference(backward_demodulation,[status(thm)],[f284,f101]) ).
fof(f297,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(X1,X2)) = double_divide(multiply(X0,X3),double_divide(X3,multiply(X2,X1))),
inference(forward_demodulation,[status(thm)],[f266,f296]) ).
fof(f298,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,double_divide(X0,multiply(X1,X2)))) = X2,
inference(backward_demodulation,[status(thm)],[f284,f97]) ).
fof(f299,plain,
! [X0,X1] : double_divide(X0,double_divide(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f266,f298]) ).
fof(f308,plain,
! [X0,X1] : X0 = double_divide(inverse(X1),multiply(X1,inverse(X0))),
inference(backward_demodulation,[status(thm)],[f295,f138]) ).
fof(f312,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,X2)),X3) = double_divide(X0,double_divide(multiply(X3,X1),X2)),
inference(backward_demodulation,[status(thm)],[f297,f32]) ).
fof(f318,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(double_divide(X3,double_divide(multiply(X1,X2),X0)),X3),
inference(backward_demodulation,[status(thm)],[f312,f10]) ).
fof(f319,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = double_divide(X3,double_divide(multiply(X3,multiply(X1,X2)),X0)),
inference(forward_demodulation,[status(thm)],[f312,f318]) ).
fof(f347,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),double_divide(multiply(multiply(multiply(X2,X0),X3),X1),X4)) = multiply(multiply(X2,X4),X3),
inference(backward_demodulation,[status(thm)],[f312,f111]) ).
fof(f348,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(X0,X1),double_divide(X1,multiply(multiply(X2,X0),multiply(X3,X4)))) = multiply(multiply(X2,X3),X4),
inference(forward_demodulation,[status(thm)],[f185,f347]) ).
fof(f349,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,double_divide(X1,multiply(X2,X0))),X3) = multiply(multiply(X2,X3),X1),
inference(forward_demodulation,[status(thm)],[f32,f348]) ).
fof(f350,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(multiply(X1,X2),multiply(X3,X0))) = multiply(multiply(X3,X1),X2),
inference(forward_demodulation,[status(thm)],[f312,f349]) ).
fof(f379,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(double_divide(X0,double_divide(X1,double_divide(multiply(X2,X3),X4))),multiply(X4,multiply(X2,X3))) = double_divide(multiply(X0,X5),double_divide(X5,X1)),
inference(backward_demodulation,[status(thm)],[f312,f34]) ).
fof(f380,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(X0,double_divide(multiply(multiply(X1,multiply(X2,X3)),X4),double_divide(multiply(X2,X3),X1))) = double_divide(multiply(X0,X5),double_divide(X5,X4)),
inference(forward_demodulation,[status(thm)],[f312,f379]) ).
fof(f381,plain,
! [X0,X1,X2,X3,X4,X5] : double_divide(X0,double_divide(X1,multiply(X2,multiply(double_divide(multiply(X3,X4),X2),multiply(X3,X4))))) = double_divide(multiply(X0,X5),double_divide(X5,X1)),
inference(forward_demodulation,[status(thm)],[f185,f380]) ).
fof(f382,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(X1,multiply(double_divide(X2,X3),multiply(X3,X2)))) = double_divide(multiply(X0,X4),double_divide(X4,X1)),
inference(forward_demodulation,[status(thm)],[f236,f381]) ).
fof(f383,plain,
! [X0,X1,X2,X3,X4] : double_divide(X0,double_divide(X1,multiply(X2,multiply(double_divide(X3,X2),X3)))) = double_divide(multiply(X0,X4),double_divide(X4,X1)),
inference(forward_demodulation,[status(thm)],[f205,f382]) ).
fof(f389,plain,
! [X0,X1,X2] : double_divide(X0,X1) = double_divide(multiply(X0,X2),double_divide(X2,inverse(X1))),
inference(paramodulation,[status(thm)],[f139,f299]) ).
fof(f396,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f299,f5]) ).
fof(f398,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,inverse(X2))) = multiply(X2,double_divide(X0,X1)),
inference(backward_demodulation,[status(thm)],[f389,f247]) ).
fof(f399,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(X0,X1),X2),X0) = double_divide(X1,X2),
inference(backward_demodulation,[status(thm)],[f389,f172]) ).
fof(f400,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(X1,multiply(X2,inverse(X2)))) = double_divide(multiply(X0,X3),double_divide(X3,X1)),
inference(backward_demodulation,[status(thm)],[f396,f383]) ).
fof(f401,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,double_divide(X2,X1))) = double_divide(multiply(X0,X3),double_divide(X3,X2)),
inference(forward_demodulation,[status(thm)],[f398,f400]) ).
fof(f408,plain,
! [X0,X1] : X0 = multiply(X0,double_divide(inverse(X1),X1)),
inference(backward_demodulation,[status(thm)],[f398,f308]) ).
fof(f412,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),X2) = double_divide(X1,multiply(X2,X0)),
inference(backward_demodulation,[status(thm)],[f399,f74]) ).
fof(f496,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = double_divide(X3,double_divide(multiply(X1,X2),multiply(X0,X3))),
inference(backward_demodulation,[status(thm)],[f412,f319]) ).
fof(f497,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f350,f496]) ).
fof(f531,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(X1,X2)) = double_divide(X3,multiply(double_divide(X3,multiply(X2,X1)),X0)),
inference(backward_demodulation,[status(thm)],[f412,f297]) ).
fof(f532,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,double_divide(X2,X1))) = double_divide(X3,multiply(double_divide(X3,X2),X0)),
inference(backward_demodulation,[status(thm)],[f412,f401]) ).
fof(f554,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,multiply(X0,X2)),X3)) = multiply(double_divide(X1,X2),X3),
inference(backward_demodulation,[status(thm)],[f412,f236]) ).
fof(f612,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(X2,multiply(X1,multiply(inverse(X3),X0)))) = multiply(double_divide(X4,X3),multiply(X2,X4)),
inference(backward_demodulation,[status(thm)],[f497,f155]) ).
fof(f621,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,double_divide(X2,multiply(X1,X3)))) = double_divide(X2,multiply(inverse(X0),X3)),
inference(backward_demodulation,[status(thm)],[f497,f268]) ).
fof(f622,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,X2)) = double_divide(X1,multiply(inverse(X0),X2)),
inference(forward_demodulation,[status(thm)],[f266,f621]) ).
fof(f634,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(X2,multiply(X1,X3))) = double_divide(X4,multiply(inverse(X2),multiply(double_divide(X4,X3),X0))),
inference(backward_demodulation,[status(thm)],[f497,f198]) ).
fof(f635,plain,
! [X0,X1,X2,X3,X4] : multiply(double_divide(X0,X1),multiply(X2,multiply(X1,X3))) = multiply(X2,double_divide(X4,multiply(double_divide(X4,X3),X0))),
inference(forward_demodulation,[status(thm)],[f622,f634]) ).
fof(f658,plain,
! [X0,X1,X2] : multiply(double_divide(X0,inverse(X1)),multiply(X2,X0)) = inverse(double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f396,f78]) ).
fof(f659,plain,
! [X0,X1,X2] : multiply(double_divide(X0,inverse(X1)),multiply(X2,X0)) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f5,f658]) ).
fof(f660,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),multiply(X1,inverse(X2))) = double_divide(X0,X2),
inference(paramodulation,[status(thm)],[f396,f13]) ).
fof(f661,plain,
! [X0,X1,X2] : multiply(X0,multiply(double_divide(X1,X0),inverse(X2))) = double_divide(X1,X2),
inference(forward_demodulation,[status(thm)],[f205,f660]) ).
fof(f662,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X1,multiply(X2,X0))) = double_divide(X1,X2),
inference(forward_demodulation,[status(thm)],[f284,f661]) ).
fof(f687,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X1,multiply(X2,multiply(X3,X0)))) = multiply(X2,X3),
inference(paramodulation,[status(thm)],[f497,f13]) ).
fof(f688,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,X0),multiply(X2,multiply(X3,X1)))) = multiply(X2,X3),
inference(forward_demodulation,[status(thm)],[f205,f687]) ).
fof(f698,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(double_divide(X3,double_divide(multiply(X2,X3),X0)),X1),
inference(paramodulation,[status(thm)],[f688,f688]) ).
fof(f699,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(double_divide(X3,double_divide(X3,multiply(X0,X2))),X1),
inference(forward_demodulation,[status(thm)],[f412,f698]) ).
fof(f700,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f299,f699]) ).
fof(f701,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f497,f700]) ).
fof(f782,plain,
! [X0,X1] : double_divide(double_divide(inverse(X0),X0),X1) = inverse(X1),
inference(paramodulation,[status(thm)],[f396,f408]) ).
fof(f794,plain,
! [X0,X1,X2] : multiply(double_divide(double_divide(inverse(X0),X0),X1),multiply(X1,X2)) = X2,
inference(paramodulation,[status(thm)],[f408,f13]) ).
fof(f795,plain,
! [X0,X1,X2] : multiply(X0,multiply(double_divide(double_divide(inverse(X1),X1),X0),X2)) = X2,
inference(forward_demodulation,[status(thm)],[f205,f794]) ).
fof(f796,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f782,f795]) ).
fof(f810,plain,
! [X0,X1,X2] : multiply(X0,multiply(double_divide(X1,X0),X1)) = multiply(X2,inverse(X2)),
inference(paramodulation,[status(thm)],[f796,f688]) ).
fof(f811,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(X1,X0))) = multiply(X2,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f701,f810]) ).
fof(f813,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(multiply(inverse(X1),X2),X0),multiply(X3,X2))) = multiply(X3,X1),
inference(paramodulation,[status(thm)],[f796,f688]) ).
fof(f814,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(double_divide(X1,multiply(X0,inverse(X2))),multiply(X3,X1))) = multiply(X3,X2),
inference(forward_demodulation,[status(thm)],[f412,f813]) ).
fof(f815,plain,
! [X0,X1,X2] : multiply(double_divide(X0,inverse(X1)),multiply(X2,X0)) = multiply(X2,X1),
inference(forward_demodulation,[status(thm)],[f554,f814]) ).
fof(f816,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f659,f815]) ).
fof(f819,plain,
! [X0,X1,X2] : multiply(double_divide(multiply(inverse(X0),X1),multiply(X2,X0)),X1) = inverse(X2),
inference(paramodulation,[status(thm)],[f796,f78]) ).
fof(f820,plain,
! [X0,X1,X2] : multiply(X0,double_divide(multiply(inverse(X1),X0),multiply(X2,X1))) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f816,f819]) ).
fof(f821,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X0,multiply(multiply(X1,X2),inverse(X2)))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f412,f820]) ).
fof(f822,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,double_divide(X0,multiply(X2,X1)))) = inverse(X2),
inference(forward_demodulation,[status(thm)],[f398,f821]) ).
fof(f823,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f662,f822]) ).
fof(f831,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f823,f811]) ).
fof(f840,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = double_divide(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f823,f796]) ).
fof(f847,plain,
! [X0,X1,X2] : multiply(double_divide(X0,inverse(X1)),multiply(double_divide(X2,X1),X0)) = inverse(X2),
inference(paramodulation,[status(thm)],[f823,f78]) ).
fof(f848,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f659,f847]) ).
fof(f860,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = double_divide(inverse(X1),X1),
inference(backward_demodulation,[status(thm)],[f840,f831]) ).
fof(f861,plain,
! [X0,X1] : double_divide(inverse(X0),X0) = double_divide(inverse(X1),X1),
inference(forward_demodulation,[status(thm)],[f840,f860]) ).
fof(f872,plain,
! [X0,X1,X2] : double_divide(X0,inverse(X1)) = double_divide(X2,multiply(double_divide(X2,X1),X0)),
inference(backward_demodulation,[status(thm)],[f848,f532]) ).
fof(f876,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(X1,X2)) = double_divide(X0,inverse(multiply(X2,X1))),
inference(backward_demodulation,[status(thm)],[f872,f531]) ).
fof(f884,plain,
! [X0,X1,X2,X3] : multiply(double_divide(X0,X1),multiply(X2,multiply(X1,X3))) = multiply(X2,double_divide(X0,inverse(X3))),
inference(backward_demodulation,[status(thm)],[f872,f635]) ).
fof(f906,plain,
! [X0,X1,X2] : multiply(X0,multiply(double_divide(X1,X0),X2)) = double_divide(X1,inverse(X2)),
inference(backward_demodulation,[status(thm)],[f872,f291]) ).
fof(f909,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X1,inverse(multiply(inverse(X2),X1)))) = multiply(double_divide(X3,X2),multiply(X0,X3)),
inference(backward_demodulation,[status(thm)],[f884,f612]) ).
fof(f910,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X1,double_divide(X1,inverse(X2)))) = multiply(double_divide(X3,X2),multiply(X0,X3)),
inference(forward_demodulation,[status(thm)],[f876,f909]) ).
fof(f911,plain,
! [X0,X1,X2] : multiply(X0,inverse(X1)) = multiply(double_divide(X2,X1),multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f299,f910]) ).
fof(f912,plain,
! [X0,X1,X2] : double_divide(inverse(X0),X1) = multiply(double_divide(X2,X1),multiply(X0,X2)),
inference(forward_demodulation,[status(thm)],[f840,f911]) ).
fof(f955,plain,
! [X0,X1,X2] : double_divide(inverse(X0),X1) = inverse(multiply(double_divide(X0,X2),multiply(X2,X1))),
inference(backward_demodulation,[status(thm)],[f912,f58]) ).
fof(f956,plain,
! [X0,X1,X2] : double_divide(inverse(X0),X1) = inverse(multiply(X2,multiply(double_divide(X0,X2),X1))),
inference(forward_demodulation,[status(thm)],[f205,f955]) ).
fof(f957,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = inverse(double_divide(X0,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f906,f956]) ).
fof(f958,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = multiply(inverse(X1),X0),
inference(forward_demodulation,[status(thm)],[f5,f957]) ).
fof(f995,plain,
multiply(inverse(a1),a1) != double_divide(inverse(b1),b1),
inference(backward_demodulation,[status(thm)],[f958,f6]) ).
fof(f996,plain,
double_divide(inverse(a1),a1) != double_divide(inverse(b1),b1),
inference(forward_demodulation,[status(thm)],[f958,f995]) ).
fof(f997,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f996,f861]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP601-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n009.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 11:25:46 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 0.14/0.45 % Refutation found
% 0.14/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.47 % Elapsed time: 0.143799 seconds
% 0.14/0.47 % CPU time: 0.680680 seconds
% 0.14/0.47 % Memory used: 17.441 MB
%------------------------------------------------------------------------------