TSTP Solution File: GRP183-3 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP183-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 12:10:54 EDT 2023
% Result : Unsatisfiable 172.94s 22.18s
% Output : CNFRefutation 175.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 15
% Syntax : Number of formulae : 136 ( 136 unt; 0 def)
% Number of atoms : 136 ( 135 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 230 (; 230 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : least_upper_bound(X,Y) = least_upper_bound(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z] : greatest_lower_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(greatest_lower_bound(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z] : least_upper_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(least_upper_bound(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : greatest_lower_bound(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : least_upper_bound(X,greatest_lower_bound(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] : greatest_lower_bound(X,least_upper_bound(X,Y)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] : multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y,Z] : multiply(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [Y,Z,X] : multiply(least_upper_bound(Y,Z),X) = least_upper_bound(multiply(Y,X),multiply(Z,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Y,Z,X] : multiply(greatest_lower_bound(Y,Z),X) = greatest_lower_bound(multiply(Y,X),multiply(Z,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
greatest_lower_bound(least_upper_bound(a,identity),least_upper_bound(inverse(a),identity)) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f19,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f20,plain,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f22,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f23,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f25,plain,
! [X0] : greatest_lower_bound(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f26,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f27,plain,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f28,plain,
! [X0,X1,X2] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f29,plain,
! [X0,X1,X2] : multiply(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f30,plain,
! [X0,X1,X2] : multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f31,plain,
! [X0,X1,X2] : multiply(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f32,plain,
greatest_lower_bound(least_upper_bound(a,identity),least_upper_bound(inverse(a),identity)) != identity,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f36,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f37,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f17,f36]) ).
fof(f39,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f20,f26]) ).
fof(f43,plain,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f21,f27]) ).
fof(f54,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(X2,greatest_lower_bound(X0,X1)),
inference(paramodulation,[status(thm)],[f20,f22]) ).
fof(f61,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(greatest_lower_bound(X1,X0),X2),
inference(paramodulation,[status(thm)],[f20,f22]) ).
fof(f62,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(X1,greatest_lower_bound(X0,X2)),
inference(forward_demodulation,[status(thm)],[f22,f61]) ).
fof(f65,plain,
! [X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X0,X1)) = greatest_lower_bound(X0,X1),
inference(paramodulation,[status(thm)],[f25,f22]) ).
fof(f67,plain,
! [X0,X1,X2] : least_upper_bound(X0,greatest_lower_bound(X1,greatest_lower_bound(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f22,f39]) ).
fof(f75,plain,
! [X0,X1] : greatest_lower_bound(greatest_lower_bound(X0,X1),X0) = greatest_lower_bound(X0,X1),
inference(paramodulation,[status(thm)],[f26,f43]) ).
fof(f76,plain,
! [X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X0)) = greatest_lower_bound(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f75]) ).
fof(f82,plain,
! [X0,X1] : least_upper_bound(least_upper_bound(X0,X1),X1) = least_upper_bound(X0,X1),
inference(paramodulation,[status(thm)],[f43,f39]) ).
fof(f83,plain,
! [X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X0)) = least_upper_bound(X1,X0),
inference(forward_demodulation,[status(thm)],[f21,f82]) ).
fof(f85,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))),
inference(paramodulation,[status(thm)],[f19,f37]) ).
fof(f86,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(paramodulation,[status(thm)],[f37,f37]) ).
fof(f87,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
inference(paramodulation,[status(thm)],[f18,f37]) ).
fof(f193,plain,
! [X0,X1,X2] : multiply(inverse(X0),least_upper_bound(X1,multiply(X0,X2))) = least_upper_bound(multiply(inverse(X0),X1),X2),
inference(paramodulation,[status(thm)],[f37,f28]) ).
fof(f300,plain,
! [X0] : X0 = multiply(X0,identity),
inference(backward_demodulation,[status(thm)],[f86,f87]) ).
fof(f325,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f86,f300]) ).
fof(f326,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f300,f325]) ).
fof(f334,plain,
! [X0,X1] : multiply(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f300,f29]) ).
fof(f337,plain,
! [X0,X1] : multiply(X0,least_upper_bound(identity,X1)) = least_upper_bound(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f300,f28]) ).
fof(f341,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f326,f37]) ).
fof(f342,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(paramodulation,[status(thm)],[f326,f18]) ).
fof(f352,plain,
! [X0,X1] : multiply(least_upper_bound(inverse(X0),X1),X0) = least_upper_bound(identity,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f18,f30]) ).
fof(f353,plain,
! [X0,X1] : multiply(least_upper_bound(identity,X0),X1) = least_upper_bound(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f17,f30]) ).
fof(f409,plain,
! [X0,X1] : multiply(greatest_lower_bound(identity,X0),X1) = greatest_lower_bound(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f17,f31]) ).
fof(f468,plain,
greatest_lower_bound(least_upper_bound(identity,a),least_upper_bound(inverse(a),identity)) != identity,
inference(forward_demodulation,[status(thm)],[f21,f32]) ).
fof(f469,plain,
greatest_lower_bound(least_upper_bound(identity,a),least_upper_bound(identity,inverse(a))) != identity,
inference(forward_demodulation,[status(thm)],[f21,f468]) ).
fof(f866,plain,
! [X0,X1,X2] : least_upper_bound(X0,greatest_lower_bound(X1,greatest_lower_bound(X0,X2))) = X0,
inference(paramodulation,[status(thm)],[f54,f26]) ).
fof(f921,plain,
! [X0] : multiply(inverse(X0),greatest_lower_bound(identity,X0)) = greatest_lower_bound(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f18,f334]) ).
fof(f922,plain,
! [X0] : multiply(inverse(X0),greatest_lower_bound(identity,X0)) = greatest_lower_bound(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f20,f921]) ).
fof(f978,plain,
! [X0] : multiply(inverse(X0),least_upper_bound(identity,X0)) = least_upper_bound(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f18,f337]) ).
fof(f979,plain,
! [X0] : multiply(inverse(X0),least_upper_bound(identity,X0)) = least_upper_bound(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f21,f978]) ).
fof(f1044,plain,
! [X0,X1] : greatest_lower_bound(X0,multiply(least_upper_bound(identity,X1),X0)) = X0,
inference(paramodulation,[status(thm)],[f353,f27]) ).
fof(f1053,plain,
! [X0] : greatest_lower_bound(inverse(least_upper_bound(identity,X0)),identity) = inverse(least_upper_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f342,f1044]) ).
fof(f1054,plain,
! [X0] : greatest_lower_bound(identity,inverse(least_upper_bound(identity,X0))) = inverse(least_upper_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f20,f1053]) ).
fof(f1119,plain,
! [X0] : multiply(greatest_lower_bound(identity,X0),inverse(X0)) = greatest_lower_bound(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f342,f409]) ).
fof(f1120,plain,
! [X0] : multiply(greatest_lower_bound(identity,X0),inverse(X0)) = greatest_lower_bound(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f20,f1119]) ).
fof(f1354,plain,
! [X0,X1] : X0 = multiply(inverse(least_upper_bound(inverse(X0),X1)),least_upper_bound(identity,multiply(X1,X0))),
inference(paramodulation,[status(thm)],[f352,f37]) ).
fof(f1765,plain,
! [X0] : multiply(X0,greatest_lower_bound(identity,inverse(X0))) = greatest_lower_bound(identity,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f326,f922]) ).
fof(f1766,plain,
! [X0] : multiply(X0,greatest_lower_bound(identity,inverse(X0))) = greatest_lower_bound(identity,X0),
inference(forward_demodulation,[status(thm)],[f326,f1765]) ).
fof(f1786,plain,
! [X0] : multiply(inverse(greatest_lower_bound(identity,X0)),greatest_lower_bound(identity,X0)) = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f65,f922]) ).
fof(f1787,plain,
! [X0] : identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f18,f1786]) ).
fof(f1877,plain,
! [X0,X1] : greatest_lower_bound(identity,greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),X1)) = greatest_lower_bound(identity,X1),
inference(paramodulation,[status(thm)],[f1787,f22]) ).
fof(f1878,plain,
! [X0] : least_upper_bound(inverse(greatest_lower_bound(identity,X0)),identity) = inverse(greatest_lower_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f1787,f39]) ).
fof(f1879,plain,
! [X0] : least_upper_bound(identity,inverse(greatest_lower_bound(identity,X0))) = inverse(greatest_lower_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f21,f1878]) ).
fof(f1935,plain,
! [X0] : multiply(X0,least_upper_bound(identity,inverse(X0))) = least_upper_bound(identity,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f326,f979]) ).
fof(f1936,plain,
! [X0] : multiply(X0,least_upper_bound(identity,inverse(X0))) = least_upper_bound(identity,X0),
inference(forward_demodulation,[status(thm)],[f326,f1935]) ).
fof(f2561,plain,
! [X0,X1] : greatest_lower_bound(identity,greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),X1)) = greatest_lower_bound(identity,greatest_lower_bound(X1,inverse(greatest_lower_bound(identity,X0)))),
inference(paramodulation,[status(thm)],[f76,f1877]) ).
fof(f2562,plain,
! [X0,X1] : greatest_lower_bound(identity,X0) = greatest_lower_bound(identity,greatest_lower_bound(X0,inverse(greatest_lower_bound(identity,X1)))),
inference(forward_demodulation,[status(thm)],[f1877,f2561]) ).
fof(f3368,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(greatest_lower_bound(X1,inverse(greatest_lower_bound(identity,X2))),greatest_lower_bound(X0,identity)),
inference(paramodulation,[status(thm)],[f2562,f54]) ).
fof(f3369,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X1,greatest_lower_bound(inverse(greatest_lower_bound(identity,X2)),greatest_lower_bound(X0,identity))),
inference(forward_demodulation,[status(thm)],[f22,f3368]) ).
fof(f3370,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X1,greatest_lower_bound(identity,greatest_lower_bound(inverse(greatest_lower_bound(identity,X2)),X0))),
inference(forward_demodulation,[status(thm)],[f54,f3369]) ).
fof(f3371,plain,
! [X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X1,greatest_lower_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f1877,f3370]) ).
fof(f3616,plain,
! [X0,X1] : least_upper_bound(greatest_lower_bound(identity,X0),greatest_lower_bound(X0,greatest_lower_bound(identity,X1))) = greatest_lower_bound(identity,X0),
inference(paramodulation,[status(thm)],[f3371,f39]) ).
fof(f4488,plain,
! [X0,X1] : least_upper_bound(greatest_lower_bound(identity,X0),greatest_lower_bound(X0,inverse(least_upper_bound(identity,X1)))) = greatest_lower_bound(identity,X0),
inference(paramodulation,[status(thm)],[f1054,f3616]) ).
fof(f5663,plain,
! [X0,X1] : least_upper_bound(inverse(greatest_lower_bound(identity,X0)),greatest_lower_bound(identity,X1)) = inverse(greatest_lower_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f2562,f67]) ).
fof(f10147,plain,
! [X0,X1] : least_upper_bound(inverse(greatest_lower_bound(X0,greatest_lower_bound(identity,identity))),greatest_lower_bound(identity,X1)) = inverse(greatest_lower_bound(identity,greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f3371,f5663]) ).
fof(f10148,plain,
! [X0,X1] : least_upper_bound(inverse(greatest_lower_bound(X0,identity)),greatest_lower_bound(identity,X1)) = inverse(greatest_lower_bound(identity,greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f25,f10147]) ).
fof(f10149,plain,
! [X0,X1] : least_upper_bound(inverse(greatest_lower_bound(X0,identity)),greatest_lower_bound(identity,X1)) = inverse(greatest_lower_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f65,f10148]) ).
fof(f11498,plain,
! [X0] : inverse(greatest_lower_bound(X0,identity)) = inverse(greatest_lower_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f866,f10149]) ).
fof(f16053,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),multiply(X1,identity)),
inference(paramodulation,[status(thm)],[f342,f85]) ).
fof(f16054,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(forward_demodulation,[status(thm)],[f300,f16053]) ).
fof(f16276,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f16054,f16054]) ).
fof(f16277,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[status(thm)],[f326,f16276]) ).
fof(f16288,plain,
! [X0] : inverse(least_upper_bound(identity,inverse(X0))) = multiply(inverse(least_upper_bound(identity,X0)),X0),
inference(paramodulation,[status(thm)],[f1936,f16054]) ).
fof(f16293,plain,
! [X0] : inverse(greatest_lower_bound(identity,inverse(X0))) = multiply(inverse(greatest_lower_bound(identity,X0)),X0),
inference(paramodulation,[status(thm)],[f1766,f16054]) ).
fof(f16476,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f16277,f341]) ).
fof(f17106,plain,
! [X0] : inverse(greatest_lower_bound(identity,inverse(X0))) = multiply(X0,inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f1120,f16476]) ).
fof(f17711,plain,
! [X0] : multiply(greatest_lower_bound(identity,inverse(least_upper_bound(identity,X0))),X0) = greatest_lower_bound(X0,inverse(least_upper_bound(identity,inverse(X0)))),
inference(paramodulation,[status(thm)],[f16288,f409]) ).
fof(f17712,plain,
! [X0] : multiply(inverse(least_upper_bound(identity,X0)),X0) = greatest_lower_bound(X0,inverse(least_upper_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f1054,f17711]) ).
fof(f17713,plain,
! [X0] : inverse(least_upper_bound(identity,inverse(X0))) = greatest_lower_bound(X0,inverse(least_upper_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f16288,f17712]) ).
fof(f18311,plain,
! [X0] : multiply(greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X0))),X0) = greatest_lower_bound(X0,inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(paramodulation,[status(thm)],[f16293,f409]) ).
fof(f18312,plain,
! [X0] : multiply(identity,X0) = greatest_lower_bound(X0,inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f1787,f18311]) ).
fof(f18313,plain,
! [X0] : X0 = greatest_lower_bound(X0,inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f17,f18312]) ).
fof(f18318,plain,
! [X0] : multiply(inverse(greatest_lower_bound(identity,X0)),greatest_lower_bound(identity,X0)) = greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(paramodulation,[status(thm)],[f16293,f334]) ).
fof(f18319,plain,
! [X0] : identity = greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f18,f18318]) ).
fof(f18377,plain,
! [X0] : inverse(X0) = greatest_lower_bound(inverse(X0),inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f326,f18313]) ).
fof(f18747,plain,
! [X0,X1] : greatest_lower_bound(inverse(X0),greatest_lower_bound(X1,inverse(greatest_lower_bound(identity,X0)))) = greatest_lower_bound(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f18377,f62]) ).
fof(f18763,plain,
! [X0] : least_upper_bound(inverse(greatest_lower_bound(identity,X0)),inverse(X0)) = inverse(greatest_lower_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f18377,f39]) ).
fof(f18764,plain,
! [X0] : least_upper_bound(inverse(X0),inverse(greatest_lower_bound(identity,X0))) = inverse(greatest_lower_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f21,f18763]) ).
fof(f22988,plain,
! [X0] : identity = greatest_lower_bound(inverse(greatest_lower_bound(X0,identity)),inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(paramodulation,[status(thm)],[f11498,f18319]) ).
fof(f55703,plain,
! [X0,X1] : greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),greatest_lower_bound(X1,inverse(greatest_lower_bound(identity,greatest_lower_bound(X0,identity))))) = greatest_lower_bound(X1,inverse(greatest_lower_bound(X0,identity))),
inference(paramodulation,[status(thm)],[f11498,f18747]) ).
fof(f55704,plain,
! [X0,X1] : greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),greatest_lower_bound(X1,inverse(greatest_lower_bound(identity,X0)))) = greatest_lower_bound(X1,inverse(greatest_lower_bound(X0,identity))),
inference(forward_demodulation,[status(thm)],[f76,f55703]) ).
fof(f55705,plain,
! [X0,X1] : greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),X1) = greatest_lower_bound(X1,inverse(greatest_lower_bound(X0,identity))),
inference(forward_demodulation,[status(thm)],[f76,f55704]) ).
fof(f57060,plain,
! [X0,X1] : greatest_lower_bound(inverse(greatest_lower_bound(X0,greatest_lower_bound(identity,identity))),X1) = greatest_lower_bound(X1,inverse(greatest_lower_bound(greatest_lower_bound(identity,X0),identity))),
inference(paramodulation,[status(thm)],[f3371,f55705]) ).
fof(f57061,plain,
! [X0,X1] : greatest_lower_bound(inverse(greatest_lower_bound(X0,identity)),X1) = greatest_lower_bound(X1,inverse(greatest_lower_bound(greatest_lower_bound(identity,X0),identity))),
inference(forward_demodulation,[status(thm)],[f25,f57060]) ).
fof(f57062,plain,
! [X0,X1] : greatest_lower_bound(inverse(greatest_lower_bound(X0,identity)),X1) = greatest_lower_bound(X1,inverse(greatest_lower_bound(identity,greatest_lower_bound(identity,X0)))),
inference(forward_demodulation,[status(thm)],[f11498,f57061]) ).
fof(f57063,plain,
! [X0,X1] : greatest_lower_bound(inverse(greatest_lower_bound(X0,identity)),X1) = greatest_lower_bound(X1,inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f65,f57062]) ).
fof(f104877,plain,
! [X0] : least_upper_bound(greatest_lower_bound(identity,X0),inverse(least_upper_bound(identity,inverse(X0)))) = greatest_lower_bound(identity,X0),
inference(paramodulation,[status(thm)],[f17713,f4488]) ).
fof(f155904,plain,
! [X0,X1] : X0 = multiply(inverse(least_upper_bound(X1,inverse(X0))),least_upper_bound(identity,multiply(least_upper_bound(X1,inverse(X0)),X0))),
inference(paramodulation,[status(thm)],[f83,f1354]) ).
fof(f155905,plain,
! [X0,X1] : X0 = least_upper_bound(multiply(inverse(least_upper_bound(X1,inverse(X0))),identity),X0),
inference(forward_demodulation,[status(thm)],[f193,f155904]) ).
fof(f155906,plain,
! [X0,X1] : X0 = least_upper_bound(X0,multiply(inverse(least_upper_bound(X1,inverse(X0))),identity)),
inference(forward_demodulation,[status(thm)],[f21,f155905]) ).
fof(f155907,plain,
! [X0,X1] : X0 = least_upper_bound(X0,inverse(least_upper_bound(X1,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f300,f155906]) ).
fof(f156386,plain,
! [X0] : least_upper_bound(identity,inverse(X0)) = least_upper_bound(least_upper_bound(identity,inverse(X0)),inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f104877,f155907]) ).
fof(f156387,plain,
! [X0] : least_upper_bound(identity,inverse(X0)) = least_upper_bound(identity,least_upper_bound(inverse(X0),inverse(greatest_lower_bound(identity,X0)))),
inference(forward_demodulation,[status(thm)],[f23,f156386]) ).
fof(f156388,plain,
! [X0] : least_upper_bound(identity,inverse(X0)) = least_upper_bound(identity,inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f18764,f156387]) ).
fof(f156389,plain,
! [X0] : least_upper_bound(identity,inverse(X0)) = inverse(greatest_lower_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f1879,f156388]) ).
fof(f158312,plain,
greatest_lower_bound(least_upper_bound(identity,a),inverse(greatest_lower_bound(identity,a))) != identity,
inference(backward_demodulation,[status(thm)],[f156389,f469]) ).
fof(f158336,plain,
! [X0] : multiply(X0,inverse(greatest_lower_bound(identity,X0))) = least_upper_bound(identity,X0),
inference(backward_demodulation,[status(thm)],[f156389,f1936]) ).
fof(f158337,plain,
! [X0] : inverse(greatest_lower_bound(identity,inverse(X0))) = least_upper_bound(identity,X0),
inference(forward_demodulation,[status(thm)],[f17106,f158336]) ).
fof(f159875,plain,
! [X0] : identity = greatest_lower_bound(inverse(greatest_lower_bound(X0,identity)),least_upper_bound(identity,X0)),
inference(backward_demodulation,[status(thm)],[f158337,f22988]) ).
fof(f159876,plain,
! [X0] : identity = greatest_lower_bound(least_upper_bound(identity,X0),inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f57063,f159875]) ).
fof(f171096,plain,
identity != identity,
inference(backward_demodulation,[status(thm)],[f159876,f158312]) ).
fof(f171097,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f171096]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP183-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 May 30 11:23:01 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 172.94/22.18 % Refutation found
% 172.94/22.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 172.94/22.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 178.98/23.67 % Elapsed time: 23.079232 seconds
% 178.98/23.67 % CPU time: 164.519264 seconds
% 178.98/23.67 % Memory used: 1.717 GB
%------------------------------------------------------------------------------