TSTP Solution File: GRP184-4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP184-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:10:55 EDT 2023
% Result : Unsatisfiable 11.58s 1.86s
% Output : CNFRefutation 12.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 19
% Syntax : Number of formulae : 130 ( 130 unt; 0 def)
% Number of atoms : 130 ( 129 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 12 ( 12 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 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 : 240 (; 240 !; 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(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,hypothesis,
inverse(identity) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
! [X] : inverse(inverse(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
! [X,Y] : inverse(multiply(X,Y)) = multiply(inverse(Y),inverse(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
! [X,Y] : inverse(greatest_lower_bound(X,Y)) = least_upper_bound(inverse(X),inverse(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
! [X,Y] : inverse(least_upper_bound(X,Y)) = greatest_lower_bound(inverse(X),inverse(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
multiply(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != multiply(inverse(greatest_lower_bound(a,identity)),least_upper_bound(a,identity)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f23,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f24,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f25,plain,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f26,plain,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f27,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(f28,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(f31,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f32,plain,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f33,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(f34,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(f35,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(f36,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(f37,plain,
inverse(identity) = identity,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f38,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f39,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f40,plain,
! [X0,X1] : inverse(greatest_lower_bound(X0,X1)) = least_upper_bound(inverse(X0),inverse(X1)),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f41,plain,
! [X0,X1] : inverse(least_upper_bound(X0,X1)) = greatest_lower_bound(inverse(X0),inverse(X1)),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f42,plain,
multiply(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != multiply(inverse(greatest_lower_bound(a,identity)),least_upper_bound(a,identity)),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f43,plain,
multiply(least_upper_bound(identity,a),inverse(greatest_lower_bound(a,identity))) != multiply(inverse(greatest_lower_bound(a,identity)),least_upper_bound(a,identity)),
inference(forward_demodulation,[status(thm)],[f26,f42]) ).
fof(f44,plain,
multiply(least_upper_bound(identity,a),inverse(greatest_lower_bound(identity,a))) != multiply(inverse(greatest_lower_bound(a,identity)),least_upper_bound(a,identity)),
inference(forward_demodulation,[status(thm)],[f25,f43]) ).
fof(f45,plain,
multiply(least_upper_bound(identity,a),inverse(greatest_lower_bound(identity,a))) != multiply(inverse(greatest_lower_bound(identity,a)),least_upper_bound(a,identity)),
inference(forward_demodulation,[status(thm)],[f25,f44]) ).
fof(f46,plain,
multiply(least_upper_bound(identity,a),inverse(greatest_lower_bound(identity,a))) != multiply(inverse(greatest_lower_bound(identity,a)),least_upper_bound(identity,a)),
inference(forward_demodulation,[status(thm)],[f26,f45]) ).
fof(f48,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(paramodulation,[status(thm)],[f38,f23]) ).
fof(f50,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f25,f31]) ).
fof(f54,plain,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f26,f32]) ).
fof(f66,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f67,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f22,f66]) ).
fof(f69,plain,
! [X0,X1] : multiply(identity,X0) = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f48,f24]) ).
fof(f70,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f22,f69]) ).
fof(f80,plain,
! [X0,X1] : greatest_lower_bound(greatest_lower_bound(X0,X1),X0) = greatest_lower_bound(X0,X1),
inference(paramodulation,[status(thm)],[f31,f54]) ).
fof(f81,plain,
! [X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X0,X1)) = greatest_lower_bound(X0,X1),
inference(forward_demodulation,[status(thm)],[f25,f80]) ).
fof(f85,plain,
! [X0,X1] : least_upper_bound(least_upper_bound(X0,X1),X1) = least_upper_bound(X0,X1),
inference(paramodulation,[status(thm)],[f54,f50]) ).
fof(f86,plain,
! [X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X0)) = least_upper_bound(X1,X0),
inference(forward_demodulation,[status(thm)],[f26,f85]) ).
fof(f93,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
inference(paramodulation,[status(thm)],[f23,f67]) ).
fof(f94,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f38,f93]) ).
fof(f140,plain,
! [X0,X1,X2] : least_upper_bound(X0,greatest_lower_bound(X1,greatest_lower_bound(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f27,f50]) ).
fof(f230,plain,
! [X0,X1,X2] : least_upper_bound(least_upper_bound(X0,X1),greatest_lower_bound(X2,X0)) = least_upper_bound(X0,X1),
inference(paramodulation,[status(thm)],[f32,f140]) ).
fof(f231,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(X1,greatest_lower_bound(X2,X0))) = least_upper_bound(X0,X1),
inference(forward_demodulation,[status(thm)],[f28,f230]) ).
fof(f249,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X2,least_upper_bound(X0,X1)),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f263,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(greatest_lower_bound(X1,X0),X2)) = least_upper_bound(X0,X2),
inference(paramodulation,[status(thm)],[f50,f28]) ).
fof(f277,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X2,X0))) = least_upper_bound(least_upper_bound(X1,X2),X0),
inference(paramodulation,[status(thm)],[f28,f86]) ).
fof(f278,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X2,X0))) = least_upper_bound(X1,least_upper_bound(X2,X0)),
inference(forward_demodulation,[status(thm)],[f28,f277]) ).
fof(f282,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,least_upper_bound(X1,least_upper_bound(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f28,f54]) ).
fof(f321,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,least_upper_bound(least_upper_bound(X1,X0),X2)) = X0,
inference(paramodulation,[status(thm)],[f26,f282]) ).
fof(f322,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,least_upper_bound(X1,least_upper_bound(X0,X2))) = X0,
inference(forward_demodulation,[status(thm)],[f28,f321]) ).
fof(f383,plain,
! [X0,X1,X2] : least_upper_bound(least_upper_bound(X0,least_upper_bound(X1,X2)),X1) = least_upper_bound(X0,least_upper_bound(X1,X2)),
inference(paramodulation,[status(thm)],[f322,f50]) ).
fof(f384,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(least_upper_bound(X1,X2),X1)) = least_upper_bound(X0,least_upper_bound(X1,X2)),
inference(forward_demodulation,[status(thm)],[f28,f383]) ).
fof(f385,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X2,X1))) = least_upper_bound(X0,least_upper_bound(X1,X2)),
inference(forward_demodulation,[status(thm)],[f28,f384]) ).
fof(f386,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X0,least_upper_bound(X2,X1)),
inference(forward_demodulation,[status(thm)],[f86,f385]) ).
fof(f392,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f38,f39]) ).
fof(f395,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f38,f39]) ).
fof(f398,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f39,f70]) ).
fof(f431,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
inference(paramodulation,[status(thm)],[f398,f398]) ).
fof(f432,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(inverse(X1),multiply(X1,X0))),
inference(forward_demodulation,[status(thm)],[f39,f431]) ).
fof(f433,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(forward_demodulation,[status(thm)],[f395,f432]) ).
fof(f461,plain,
! [X0,X1] : multiply(X0,least_upper_bound(identity,X1)) = least_upper_bound(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f94,f33]) ).
fof(f470,plain,
! [X0,X1] : multiply(inverse(X0),least_upper_bound(X1,X0)) = least_upper_bound(multiply(inverse(X0),X1),identity),
inference(paramodulation,[status(thm)],[f23,f33]) ).
fof(f471,plain,
! [X0,X1] : multiply(inverse(X0),least_upper_bound(X1,X0)) = least_upper_bound(identity,multiply(inverse(X0),X1)),
inference(forward_demodulation,[status(thm)],[f26,f470]) ).
fof(f547,plain,
! [X0] : inverse(greatest_lower_bound(identity,X0)) = least_upper_bound(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f37,f40]) ).
fof(f548,plain,
! [X0,X1] : inverse(greatest_lower_bound(X0,inverse(X1))) = least_upper_bound(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f38,f40]) ).
fof(f614,plain,
! [X0] : inverse(least_upper_bound(identity,X0)) = greatest_lower_bound(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f37,f41]) ).
fof(f619,plain,
! [X0,X1] : inverse(least_upper_bound(X0,inverse(X1))) = greatest_lower_bound(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f38,f41]) ).
fof(f730,plain,
! [X0,X1] : multiply(inverse(X0),greatest_lower_bound(X1,X0)) = greatest_lower_bound(multiply(inverse(X0),X1),identity),
inference(paramodulation,[status(thm)],[f23,f34]) ).
fof(f731,plain,
! [X0,X1] : multiply(inverse(X0),greatest_lower_bound(X1,X0)) = greatest_lower_bound(identity,multiply(inverse(X0),X1)),
inference(forward_demodulation,[status(thm)],[f25,f730]) ).
fof(f1306,plain,
! [X0,X1] : multiply(least_upper_bound(identity,X0),X1) = least_upper_bound(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f35]) ).
fof(f1378,plain,
! [X0,X1,X2,X3] : least_upper_bound(least_upper_bound(X0,least_upper_bound(X1,X2)),least_upper_bound(X3,X1)) = least_upper_bound(least_upper_bound(X0,least_upper_bound(X1,X2)),X3),
inference(paramodulation,[status(thm)],[f322,f231]) ).
fof(f1379,plain,
! [X0,X1,X2,X3] : least_upper_bound(X0,least_upper_bound(least_upper_bound(X1,X2),least_upper_bound(X3,X1))) = least_upper_bound(least_upper_bound(X0,least_upper_bound(X1,X2)),X3),
inference(forward_demodulation,[status(thm)],[f28,f1378]) ).
fof(f1380,plain,
! [X0,X1,X2,X3] : least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X2,least_upper_bound(X3,X1)))) = least_upper_bound(least_upper_bound(X0,least_upper_bound(X1,X2)),X3),
inference(forward_demodulation,[status(thm)],[f28,f1379]) ).
fof(f1381,plain,
! [X0,X1,X2,X3] : least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X2,X3))) = least_upper_bound(least_upper_bound(X0,least_upper_bound(X3,X1)),X2),
inference(forward_demodulation,[status(thm)],[f278,f1380]) ).
fof(f1382,plain,
! [X0,X1,X2,X3] : least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X2,X3))) = least_upper_bound(X0,least_upper_bound(least_upper_bound(X3,X1),X2)),
inference(forward_demodulation,[status(thm)],[f28,f1381]) ).
fof(f1383,plain,
! [X0,X1,X2,X3] : least_upper_bound(X0,least_upper_bound(X1,least_upper_bound(X2,X3))) = least_upper_bound(X0,least_upper_bound(X3,least_upper_bound(X1,X2))),
inference(forward_demodulation,[status(thm)],[f28,f1382]) ).
fof(f1443,plain,
! [X0,X1,X2,X3] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(least_upper_bound(X2,greatest_lower_bound(X3,X1)),least_upper_bound(X0,X1)),
inference(paramodulation,[status(thm)],[f231,f249]) ).
fof(f1444,plain,
! [X0,X1,X2,X3] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X2,least_upper_bound(greatest_lower_bound(X3,X1),least_upper_bound(X0,X1))),
inference(forward_demodulation,[status(thm)],[f28,f1443]) ).
fof(f1445,plain,
! [X0,X1,X2,X3] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X2,least_upper_bound(X1,least_upper_bound(greatest_lower_bound(X3,X1),X0))),
inference(forward_demodulation,[status(thm)],[f1383,f1444]) ).
fof(f1446,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(X2,least_upper_bound(X1,X0)),
inference(forward_demodulation,[status(thm)],[f263,f1445]) ).
fof(f1980,plain,
! [X0,X1] : multiply(greatest_lower_bound(identity,X0),X1) = greatest_lower_bound(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f36]) ).
fof(f3478,plain,
! [X0,X1] : least_upper_bound(identity,least_upper_bound(inverse(X0),X1)) = least_upper_bound(X1,inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f547,f249]) ).
fof(f10613,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(greatest_lower_bound(identity,X0))) = least_upper_bound(identity,multiply(inverse(inverse(X0)),identity)),
inference(paramodulation,[status(thm)],[f547,f471]) ).
fof(f10614,plain,
! [X0] : inverse(multiply(greatest_lower_bound(identity,X0),inverse(X0))) = least_upper_bound(identity,multiply(inverse(inverse(X0)),identity)),
inference(forward_demodulation,[status(thm)],[f39,f10613]) ).
fof(f10615,plain,
! [X0] : multiply(X0,inverse(greatest_lower_bound(identity,X0))) = least_upper_bound(identity,multiply(inverse(inverse(X0)),identity)),
inference(forward_demodulation,[status(thm)],[f392,f10614]) ).
fof(f10616,plain,
! [X0] : multiply(X0,inverse(greatest_lower_bound(identity,X0))) = multiply(least_upper_bound(identity,inverse(inverse(X0))),identity),
inference(forward_demodulation,[status(thm)],[f1306,f10615]) ).
fof(f10617,plain,
! [X0] : multiply(X0,inverse(greatest_lower_bound(identity,X0))) = least_upper_bound(identity,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f94,f10616]) ).
fof(f10618,plain,
! [X0] : multiply(X0,inverse(greatest_lower_bound(identity,X0))) = inverse(greatest_lower_bound(identity,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f547,f10617]) ).
fof(f10619,plain,
! [X0] : multiply(X0,inverse(greatest_lower_bound(identity,X0))) = least_upper_bound(inverse(identity),X0),
inference(forward_demodulation,[status(thm)],[f548,f10618]) ).
fof(f10620,plain,
! [X0] : multiply(X0,inverse(greatest_lower_bound(identity,X0))) = least_upper_bound(identity,X0),
inference(forward_demodulation,[status(thm)],[f37,f10619]) ).
fof(f15919,plain,
! [X0] : multiply(least_upper_bound(identity,X0),inverse(greatest_lower_bound(identity,X0))) = least_upper_bound(inverse(greatest_lower_bound(identity,X0)),least_upper_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f10620,f1306]) ).
fof(f15920,plain,
! [X0] : multiply(least_upper_bound(identity,X0),inverse(greatest_lower_bound(identity,X0))) = least_upper_bound(X0,least_upper_bound(identity,inverse(greatest_lower_bound(identity,X0)))),
inference(forward_demodulation,[status(thm)],[f1446,f15919]) ).
fof(f15921,plain,
! [X0] : multiply(least_upper_bound(identity,X0),inverse(greatest_lower_bound(identity,X0))) = least_upper_bound(X0,inverse(greatest_lower_bound(identity,greatest_lower_bound(identity,X0)))),
inference(forward_demodulation,[status(thm)],[f547,f15920]) ).
fof(f15922,plain,
! [X0] : multiply(least_upper_bound(identity,X0),inverse(greatest_lower_bound(identity,X0))) = least_upper_bound(X0,inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f81,f15921]) ).
fof(f15953,plain,
least_upper_bound(a,inverse(greatest_lower_bound(identity,a))) != multiply(inverse(greatest_lower_bound(identity,a)),least_upper_bound(identity,a)),
inference(backward_demodulation,[status(thm)],[f15922,f46]) ).
fof(f15954,plain,
least_upper_bound(identity,least_upper_bound(inverse(a),a)) != multiply(inverse(greatest_lower_bound(identity,a)),least_upper_bound(identity,a)),
inference(forward_demodulation,[status(thm)],[f3478,f15953]) ).
fof(f15955,plain,
least_upper_bound(identity,least_upper_bound(a,inverse(a))) != multiply(inverse(greatest_lower_bound(identity,a)),least_upper_bound(identity,a)),
inference(forward_demodulation,[status(thm)],[f386,f15954]) ).
fof(f19301,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(least_upper_bound(identity,X0))) = greatest_lower_bound(identity,multiply(inverse(inverse(X0)),identity)),
inference(paramodulation,[status(thm)],[f614,f731]) ).
fof(f19302,plain,
! [X0] : inverse(multiply(least_upper_bound(identity,X0),inverse(X0))) = greatest_lower_bound(identity,multiply(inverse(inverse(X0)),identity)),
inference(forward_demodulation,[status(thm)],[f39,f19301]) ).
fof(f19303,plain,
! [X0] : multiply(X0,inverse(least_upper_bound(identity,X0))) = greatest_lower_bound(identity,multiply(inverse(inverse(X0)),identity)),
inference(forward_demodulation,[status(thm)],[f392,f19302]) ).
fof(f19304,plain,
! [X0] : multiply(X0,inverse(least_upper_bound(identity,X0))) = multiply(greatest_lower_bound(identity,inverse(inverse(X0))),identity),
inference(forward_demodulation,[status(thm)],[f1980,f19303]) ).
fof(f19305,plain,
! [X0] : multiply(X0,inverse(least_upper_bound(identity,X0))) = greatest_lower_bound(identity,inverse(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f94,f19304]) ).
fof(f19306,plain,
! [X0] : multiply(X0,inverse(least_upper_bound(identity,X0))) = inverse(least_upper_bound(identity,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f614,f19305]) ).
fof(f19307,plain,
! [X0] : multiply(X0,inverse(least_upper_bound(identity,X0))) = greatest_lower_bound(inverse(identity),X0),
inference(forward_demodulation,[status(thm)],[f619,f19306]) ).
fof(f19308,plain,
! [X0] : multiply(X0,inverse(least_upper_bound(identity,X0))) = greatest_lower_bound(identity,X0),
inference(forward_demodulation,[status(thm)],[f37,f19307]) ).
fof(f26353,plain,
! [X0] : inverse(inverse(least_upper_bound(identity,X0))) = multiply(inverse(greatest_lower_bound(identity,X0)),X0),
inference(paramodulation,[status(thm)],[f19308,f433]) ).
fof(f26354,plain,
! [X0] : least_upper_bound(identity,X0) = multiply(inverse(greatest_lower_bound(identity,X0)),X0),
inference(forward_demodulation,[status(thm)],[f38,f26353]) ).
fof(f28929,plain,
! [X0] : multiply(inverse(greatest_lower_bound(identity,X0)),least_upper_bound(identity,X0)) = least_upper_bound(inverse(greatest_lower_bound(identity,X0)),least_upper_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f26354,f461]) ).
fof(f28930,plain,
! [X0] : multiply(inverse(greatest_lower_bound(identity,X0)),least_upper_bound(identity,X0)) = least_upper_bound(X0,least_upper_bound(identity,inverse(greatest_lower_bound(identity,X0)))),
inference(forward_demodulation,[status(thm)],[f1446,f28929]) ).
fof(f28931,plain,
! [X0] : multiply(inverse(greatest_lower_bound(identity,X0)),least_upper_bound(identity,X0)) = least_upper_bound(X0,inverse(greatest_lower_bound(identity,greatest_lower_bound(identity,X0)))),
inference(forward_demodulation,[status(thm)],[f547,f28930]) ).
fof(f28932,plain,
! [X0] : multiply(inverse(greatest_lower_bound(identity,X0)),least_upper_bound(identity,X0)) = least_upper_bound(X0,inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f81,f28931]) ).
fof(f28955,plain,
least_upper_bound(identity,least_upper_bound(a,inverse(a))) != least_upper_bound(a,inverse(greatest_lower_bound(identity,a))),
inference(backward_demodulation,[status(thm)],[f28932,f15955]) ).
fof(f28956,plain,
least_upper_bound(identity,least_upper_bound(a,inverse(a))) != least_upper_bound(identity,least_upper_bound(inverse(a),a)),
inference(forward_demodulation,[status(thm)],[f3478,f28955]) ).
fof(f28957,plain,
least_upper_bound(identity,least_upper_bound(a,inverse(a))) != least_upper_bound(identity,least_upper_bound(a,inverse(a))),
inference(forward_demodulation,[status(thm)],[f386,f28956]) ).
fof(f28958,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f28957]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP184-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:29:10 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 11.58/1.86 % Refutation found
% 11.58/1.86 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.58/1.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.24/1.93 % Elapsed time: 1.569831 seconds
% 12.24/1.93 % CPU time: 12.228650 seconds
% 12.24/1.93 % Memory used: 211.839 MB
%------------------------------------------------------------------------------