TSTP Solution File: GRP167-2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP167-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:19:35 EDT 2024
% Result : Unsatisfiable 46.71s 6.28s
% Output : CNFRefutation 48.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 21
% Syntax : Number of formulae : 169 ( 169 unt; 0 def)
% Number of atoms : 169 ( 168 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 263 ( 263 !; 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,axiom,
inverse(identity) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] : inverse(inverse(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,Y] : inverse(multiply(X,Y)) = multiply(inverse(Y),inverse(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] : positive_part(X) = least_upper_bound(X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] : negative_part(X) = greatest_lower_bound(X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,Z] : least_upper_bound(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(least_upper_bound(X,Y),least_upper_bound(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y,Z] : greatest_lower_bound(X,least_upper_bound(Y,Z)) = least_upper_bound(greatest_lower_bound(X,Y),greatest_lower_bound(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
a != multiply(positive_part(a),negative_part(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f26,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f27,plain,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f28,plain,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f29,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(f30,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(f33,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f34,plain,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f35,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(f36,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(f37,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(f38,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(f39,plain,
inverse(identity) = identity,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f40,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f41,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f42,plain,
! [X0] : positive_part(X0) = least_upper_bound(X0,identity),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f43,plain,
! [X0] : negative_part(X0) = greatest_lower_bound(X0,identity),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f44,plain,
! [X0,X1,X2] : least_upper_bound(X0,greatest_lower_bound(X1,X2)) = greatest_lower_bound(least_upper_bound(X0,X1),least_upper_bound(X0,X2)),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f45,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,least_upper_bound(X1,X2)) = least_upper_bound(greatest_lower_bound(X0,X1),greatest_lower_bound(X0,X2)),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f46,plain,
a != multiply(positive_part(a),negative_part(a)),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f48,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(paramodulation,[status(thm)],[f40,f25]) ).
fof(f54,plain,
! [X0] : least_upper_bound(X0,negative_part(X0)) = X0,
inference(paramodulation,[status(thm)],[f43,f33]) ).
fof(f59,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f25,f26]) ).
fof(f60,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f24,f59]) ).
fof(f65,plain,
! [X0] : greatest_lower_bound(X0,positive_part(X0)) = X0,
inference(paramodulation,[status(thm)],[f42,f34]) ).
fof(f78,plain,
! [X0,X1] : multiply(identity,X0) = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f48,f26]) ).
fof(f79,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f24,f78]) ).
fof(f80,plain,
! [X0] : negative_part(X0) = greatest_lower_bound(identity,X0),
inference(paramodulation,[status(thm)],[f43,f27]) ).
fof(f83,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f27,f33]) ).
fof(f86,plain,
! [X0] : positive_part(X0) = least_upper_bound(identity,X0),
inference(paramodulation,[status(thm)],[f42,f28]) ).
fof(f89,plain,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f28,f34]) ).
fof(f94,plain,
! [X0] : negative_part(least_upper_bound(identity,X0)) = identity,
inference(paramodulation,[status(thm)],[f34,f80]) ).
fof(f95,plain,
! [X0] : negative_part(positive_part(X0)) = identity,
inference(forward_demodulation,[status(thm)],[f86,f94]) ).
fof(f104,plain,
! [X0] : least_upper_bound(identity,negative_part(X0)) = identity,
inference(paramodulation,[status(thm)],[f80,f33]) ).
fof(f105,plain,
! [X0] : positive_part(negative_part(X0)) = identity,
inference(forward_demodulation,[status(thm)],[f86,f104]) ).
fof(f108,plain,
! [X0] : least_upper_bound(positive_part(X0),identity) = positive_part(X0),
inference(paramodulation,[status(thm)],[f95,f54]) ).
fof(f109,plain,
! [X0] : positive_part(positive_part(X0)) = positive_part(X0),
inference(forward_demodulation,[status(thm)],[f42,f108]) ).
fof(f113,plain,
! [X0] : greatest_lower_bound(negative_part(X0),identity) = negative_part(X0),
inference(paramodulation,[status(thm)],[f105,f65]) ).
fof(f114,plain,
! [X0] : negative_part(negative_part(X0)) = negative_part(X0),
inference(forward_demodulation,[status(thm)],[f43,f113]) ).
fof(f136,plain,
! [X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(positive_part(X0),X1)) = greatest_lower_bound(X0,X1),
inference(paramodulation,[status(thm)],[f65,f29]) ).
fof(f202,plain,
! [X0,X1] : greatest_lower_bound(greatest_lower_bound(X0,X1),X0) = greatest_lower_bound(X0,X1),
inference(paramodulation,[status(thm)],[f33,f89]) ).
fof(f203,plain,
! [X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X1,X0)) = greatest_lower_bound(X0,X1),
inference(forward_demodulation,[status(thm)],[f29,f202]) ).
fof(f210,plain,
! [X0,X1] : least_upper_bound(least_upper_bound(X0,X1),X1) = least_upper_bound(X0,X1),
inference(paramodulation,[status(thm)],[f89,f83]) ).
fof(f211,plain,
! [X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X0)) = least_upper_bound(X1,X0),
inference(forward_demodulation,[status(thm)],[f28,f210]) ).
fof(f251,plain,
! [X0,X1] : least_upper_bound(X0,least_upper_bound(negative_part(X0),X1)) = least_upper_bound(X0,X1),
inference(paramodulation,[status(thm)],[f54,f30]) ).
fof(f281,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
inference(paramodulation,[status(thm)],[f25,f60]) ).
fof(f282,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f40,f281]) ).
fof(f345,plain,
! [X0,X1,X2] : multiply(X0,least_upper_bound(X1,X2)) = least_upper_bound(multiply(X0,X2),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f28,f35]) ).
fof(f346,plain,
! [X0,X1,X2] : multiply(X0,least_upper_bound(X1,X2)) = multiply(X0,least_upper_bound(X2,X1)),
inference(forward_demodulation,[status(thm)],[f35,f345]) ).
fof(f360,plain,
! [X0,X1] : multiply(X0,least_upper_bound(identity,X1)) = least_upper_bound(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f282,f35]) ).
fof(f361,plain,
! [X0,X1] : multiply(X0,positive_part(X1)) = least_upper_bound(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f86,f360]) ).
fof(f369,plain,
! [X0,X1] : multiply(inverse(X0),least_upper_bound(X1,X0)) = least_upper_bound(multiply(inverse(X0),X1),identity),
inference(paramodulation,[status(thm)],[f25,f35]) ).
fof(f370,plain,
! [X0,X1] : multiply(inverse(X0),least_upper_bound(X1,X0)) = positive_part(multiply(inverse(X0),X1)),
inference(forward_demodulation,[status(thm)],[f42,f369]) ).
fof(f628,plain,
! [X0,X1] : multiply(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f282,f36]) ).
fof(f629,plain,
! [X0,X1] : multiply(X0,negative_part(X1)) = greatest_lower_bound(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f80,f628]) ).
fof(f864,plain,
! [X0] : multiply(inverse(X0),positive_part(X0)) = least_upper_bound(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f25,f361]) ).
fof(f865,plain,
! [X0] : multiply(inverse(X0),positive_part(X0)) = positive_part(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f42,f864]) ).
fof(f905,plain,
! [X0,X1] : multiply(least_upper_bound(identity,X0),X1) = least_upper_bound(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f24,f37]) ).
fof(f906,plain,
! [X0,X1] : multiply(positive_part(X0),X1) = least_upper_bound(X1,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f86,f905]) ).
fof(f989,plain,
! [X0] : multiply(inverse(X0),negative_part(X0)) = greatest_lower_bound(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f25,f629]) ).
fof(f990,plain,
! [X0] : multiply(inverse(X0),negative_part(X0)) = negative_part(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f43,f989]) ).
fof(f1059,plain,
! [X0] : multiply(inverse(positive_part(X0)),positive_part(X0)) = positive_part(inverse(positive_part(X0))),
inference(paramodulation,[status(thm)],[f109,f865]) ).
fof(f1060,plain,
! [X0] : identity = positive_part(inverse(positive_part(X0))),
inference(forward_demodulation,[status(thm)],[f25,f1059]) ).
fof(f1061,plain,
! [X0] : multiply(inverse(negative_part(X0)),identity) = positive_part(inverse(negative_part(X0))),
inference(paramodulation,[status(thm)],[f105,f865]) ).
fof(f1062,plain,
! [X0] : inverse(negative_part(X0)) = positive_part(inverse(negative_part(X0))),
inference(forward_demodulation,[status(thm)],[f282,f1061]) ).
fof(f1128,plain,
! [X0,X1,X2] : multiply(greatest_lower_bound(X0,X1),X2) = greatest_lower_bound(multiply(X1,X2),multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f27,f38]) ).
fof(f1129,plain,
! [X0,X1,X2] : multiply(greatest_lower_bound(X0,X1),X2) = multiply(greatest_lower_bound(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f38,f1128]) ).
fof(f1138,plain,
! [X0,X1] : multiply(greatest_lower_bound(identity,X0),X1) = greatest_lower_bound(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f24,f38]) ).
fof(f1139,plain,
! [X0,X1] : multiply(negative_part(X0),X1) = greatest_lower_bound(X1,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f80,f1138]) ).
fof(f1146,plain,
! [X0,X1] : multiply(greatest_lower_bound(X0,X1),inverse(X0)) = greatest_lower_bound(identity,multiply(X1,inverse(X0))),
inference(paramodulation,[status(thm)],[f48,f38]) ).
fof(f1147,plain,
! [X0,X1] : multiply(greatest_lower_bound(X0,X1),inverse(X0)) = negative_part(multiply(X1,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f80,f1146]) ).
fof(f1251,plain,
! [X0] : negative_part(inverse(negative_part(X0))) = identity,
inference(paramodulation,[status(thm)],[f1062,f95]) ).
fof(f1289,plain,
! [X0] : multiply(positive_part(X0),X0) = multiply(X0,positive_part(X0)),
inference(paramodulation,[status(thm)],[f361,f906]) ).
fof(f1297,plain,
! [X0] : multiply(positive_part(inverse(X0)),X0) = least_upper_bound(X0,identity),
inference(paramodulation,[status(thm)],[f25,f906]) ).
fof(f1298,plain,
! [X0] : multiply(positive_part(inverse(X0)),X0) = positive_part(X0),
inference(forward_demodulation,[status(thm)],[f42,f1297]) ).
fof(f1375,plain,
! [X0] : X0 = multiply(inverse(positive_part(inverse(X0))),positive_part(X0)),
inference(paramodulation,[status(thm)],[f1298,f60]) ).
fof(f1386,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f40,f41]) ).
fof(f1435,plain,
! [X0] : multiply(positive_part(X0),negative_part(X0)) = greatest_lower_bound(positive_part(X0),multiply(X0,positive_part(X0))),
inference(paramodulation,[status(thm)],[f1289,f629]) ).
fof(f1436,plain,
! [X0] : multiply(positive_part(X0),negative_part(X0)) = multiply(negative_part(X0),positive_part(X0)),
inference(forward_demodulation,[status(thm)],[f1139,f1435]) ).
fof(f1578,plain,
! [X0] : multiply(negative_part(inverse(X0)),X0) = greatest_lower_bound(X0,identity),
inference(paramodulation,[status(thm)],[f25,f1139]) ).
fof(f1579,plain,
! [X0] : multiply(negative_part(inverse(X0)),X0) = negative_part(X0),
inference(forward_demodulation,[status(thm)],[f43,f1578]) ).
fof(f1665,plain,
! [X0] : X0 = multiply(inverse(negative_part(inverse(X0))),negative_part(X0)),
inference(paramodulation,[status(thm)],[f1579,f60]) ).
fof(f1691,plain,
! [X0,X1] : least_upper_bound(identity,greatest_lower_bound(X0,X1)) = greatest_lower_bound(positive_part(X0),least_upper_bound(identity,X1)),
inference(paramodulation,[status(thm)],[f86,f44]) ).
fof(f1692,plain,
! [X0,X1] : positive_part(greatest_lower_bound(X0,X1)) = greatest_lower_bound(positive_part(X0),least_upper_bound(identity,X1)),
inference(forward_demodulation,[status(thm)],[f86,f1691]) ).
fof(f1693,plain,
! [X0,X1] : positive_part(greatest_lower_bound(X0,X1)) = greatest_lower_bound(positive_part(X0),positive_part(X1)),
inference(forward_demodulation,[status(thm)],[f86,f1692]) ).
fof(f1703,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(positive_part(X0),least_upper_bound(X0,X1)),
inference(paramodulation,[status(thm)],[f42,f44]) ).
fof(f1704,plain,
! [X0,X1] : least_upper_bound(X0,negative_part(X1)) = greatest_lower_bound(positive_part(X0),least_upper_bound(X0,X1)),
inference(forward_demodulation,[status(thm)],[f80,f1703]) ).
fof(f2000,plain,
! [X0] : multiply(inverse(positive_part(inverse(X0))),positive_part(positive_part(X0))) = least_upper_bound(inverse(positive_part(inverse(X0))),X0),
inference(paramodulation,[status(thm)],[f1375,f361]) ).
fof(f2001,plain,
! [X0] : multiply(inverse(positive_part(inverse(X0))),positive_part(X0)) = least_upper_bound(inverse(positive_part(inverse(X0))),X0),
inference(forward_demodulation,[status(thm)],[f109,f2000]) ).
fof(f2002,plain,
! [X0] : X0 = least_upper_bound(inverse(positive_part(inverse(X0))),X0),
inference(forward_demodulation,[status(thm)],[f1375,f2001]) ).
fof(f2003,plain,
! [X0] : X0 = least_upper_bound(X0,inverse(positive_part(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f28,f2002]) ).
fof(f2067,plain,
! [X0,X1] : greatest_lower_bound(identity,least_upper_bound(X0,X1)) = least_upper_bound(negative_part(X0),greatest_lower_bound(identity,X1)),
inference(paramodulation,[status(thm)],[f80,f45]) ).
fof(f2068,plain,
! [X0,X1] : negative_part(least_upper_bound(X0,X1)) = least_upper_bound(negative_part(X0),greatest_lower_bound(identity,X1)),
inference(forward_demodulation,[status(thm)],[f80,f2067]) ).
fof(f2069,plain,
! [X0,X1] : negative_part(least_upper_bound(X0,X1)) = least_upper_bound(negative_part(X0),negative_part(X1)),
inference(forward_demodulation,[status(thm)],[f80,f2068]) ).
fof(f2278,plain,
! [X0] : multiply(inverse(negative_part(inverse(X0))),negative_part(negative_part(X0))) = greatest_lower_bound(inverse(negative_part(inverse(X0))),X0),
inference(paramodulation,[status(thm)],[f1665,f629]) ).
fof(f2279,plain,
! [X0] : multiply(inverse(negative_part(inverse(X0))),negative_part(X0)) = greatest_lower_bound(inverse(negative_part(inverse(X0))),X0),
inference(forward_demodulation,[status(thm)],[f114,f2278]) ).
fof(f2280,plain,
! [X0] : X0 = greatest_lower_bound(inverse(negative_part(inverse(X0))),X0),
inference(forward_demodulation,[status(thm)],[f1665,f2279]) ).
fof(f2281,plain,
! [X0] : X0 = greatest_lower_bound(X0,inverse(negative_part(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f27,f2280]) ).
fof(f2804,plain,
! [X0,X1] : least_upper_bound(X0,least_upper_bound(X1,negative_part(X0))) = least_upper_bound(X0,X1),
inference(paramodulation,[status(thm)],[f28,f251]) ).
fof(f3175,plain,
! [X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(positive_part(X0),X1)) = greatest_lower_bound(X0,greatest_lower_bound(X1,positive_part(X0))),
inference(paramodulation,[status(thm)],[f203,f136]) ).
fof(f3176,plain,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X0,greatest_lower_bound(X1,positive_part(X0))),
inference(forward_demodulation,[status(thm)],[f136,f3175]) ).
fof(f4891,plain,
! [X0] : inverse(negative_part(inverse(X0))) = multiply(inverse(negative_part(X0)),X0),
inference(paramodulation,[status(thm)],[f990,f1386]) ).
fof(f5118,plain,
! [X0,X1] : greatest_lower_bound(X0,positive_part(X1)) = greatest_lower_bound(X0,positive_part(greatest_lower_bound(X1,X0))),
inference(paramodulation,[status(thm)],[f1693,f3176]) ).
fof(f6338,plain,
! [X0,X1] : least_upper_bound(X0,negative_part(least_upper_bound(X1,X0))) = least_upper_bound(X0,negative_part(X1)),
inference(paramodulation,[status(thm)],[f2069,f2804]) ).
fof(f7588,plain,
! [X0,X1] : identity = multiply(inverse(least_upper_bound(X0,X1)),least_upper_bound(X1,X0)),
inference(paramodulation,[status(thm)],[f25,f346]) ).
fof(f11625,plain,
! [X0,X1] : least_upper_bound(X0,negative_part(least_upper_bound(X1,X0))) = greatest_lower_bound(positive_part(X0),least_upper_bound(X1,X0)),
inference(paramodulation,[status(thm)],[f211,f1704]) ).
fof(f11626,plain,
! [X0,X1] : least_upper_bound(X0,negative_part(X1)) = greatest_lower_bound(positive_part(X0),least_upper_bound(X1,X0)),
inference(forward_demodulation,[status(thm)],[f6338,f11625]) ).
fof(f13378,plain,
! [X0] : X0 = multiply(negative_part(X0),inverse(negative_part(inverse(X0)))),
inference(paramodulation,[status(thm)],[f4891,f79]) ).
fof(f19848,plain,
! [X0] : least_upper_bound(inverse(positive_part(inverse(X0))),negative_part(X0)) = greatest_lower_bound(positive_part(inverse(positive_part(inverse(X0)))),X0),
inference(paramodulation,[status(thm)],[f2003,f11626]) ).
fof(f19849,plain,
! [X0] : least_upper_bound(negative_part(X0),inverse(positive_part(inverse(X0)))) = greatest_lower_bound(positive_part(inverse(positive_part(inverse(X0)))),X0),
inference(forward_demodulation,[status(thm)],[f28,f19848]) ).
fof(f19850,plain,
! [X0] : least_upper_bound(negative_part(X0),inverse(positive_part(inverse(X0)))) = greatest_lower_bound(X0,positive_part(inverse(positive_part(inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f27,f19849]) ).
fof(f19851,plain,
! [X0] : least_upper_bound(negative_part(X0),inverse(positive_part(inverse(X0)))) = greatest_lower_bound(X0,identity),
inference(forward_demodulation,[status(thm)],[f1060,f19850]) ).
fof(f19852,plain,
! [X0] : least_upper_bound(negative_part(X0),inverse(positive_part(inverse(X0)))) = negative_part(X0),
inference(forward_demodulation,[status(thm)],[f43,f19851]) ).
fof(f19956,plain,
! [X0,X1] : least_upper_bound(greatest_lower_bound(X0,X1),negative_part(X1)) = greatest_lower_bound(positive_part(greatest_lower_bound(X0,X1)),X1),
inference(paramodulation,[status(thm)],[f83,f11626]) ).
fof(f19957,plain,
! [X0,X1] : least_upper_bound(negative_part(X0),greatest_lower_bound(X1,X0)) = greatest_lower_bound(positive_part(greatest_lower_bound(X1,X0)),X0),
inference(forward_demodulation,[status(thm)],[f28,f19956]) ).
fof(f19958,plain,
! [X0,X1] : least_upper_bound(negative_part(X0),greatest_lower_bound(X1,X0)) = greatest_lower_bound(X0,positive_part(greatest_lower_bound(X1,X0))),
inference(forward_demodulation,[status(thm)],[f27,f19957]) ).
fof(f19959,plain,
! [X0,X1] : least_upper_bound(negative_part(X0),greatest_lower_bound(X1,X0)) = greatest_lower_bound(X0,positive_part(X1)),
inference(forward_demodulation,[status(thm)],[f5118,f19958]) ).
fof(f20986,plain,
! [X0] : identity = multiply(inverse(negative_part(X0)),least_upper_bound(inverse(positive_part(inverse(X0))),negative_part(X0))),
inference(paramodulation,[status(thm)],[f19852,f7588]) ).
fof(f20987,plain,
! [X0] : identity = positive_part(multiply(inverse(negative_part(X0)),inverse(positive_part(inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f370,f20986]) ).
fof(f20988,plain,
! [X0] : identity = positive_part(inverse(multiply(positive_part(inverse(X0)),negative_part(X0)))),
inference(forward_demodulation,[status(thm)],[f41,f20987]) ).
fof(f21482,plain,
! [X0,X1] : identity = multiply(greatest_lower_bound(X0,X1),inverse(greatest_lower_bound(X1,X0))),
inference(paramodulation,[status(thm)],[f48,f1129]) ).
fof(f22570,plain,
! [X0] : least_upper_bound(negative_part(inverse(negative_part(inverse(X0)))),X0) = greatest_lower_bound(inverse(negative_part(inverse(X0))),positive_part(X0)),
inference(paramodulation,[status(thm)],[f2281,f19959]) ).
fof(f22571,plain,
! [X0] : least_upper_bound(X0,negative_part(inverse(negative_part(inverse(X0))))) = greatest_lower_bound(inverse(negative_part(inverse(X0))),positive_part(X0)),
inference(forward_demodulation,[status(thm)],[f28,f22570]) ).
fof(f22572,plain,
! [X0] : least_upper_bound(X0,identity) = greatest_lower_bound(inverse(negative_part(inverse(X0))),positive_part(X0)),
inference(forward_demodulation,[status(thm)],[f1251,f22571]) ).
fof(f22573,plain,
! [X0] : positive_part(X0) = greatest_lower_bound(inverse(negative_part(inverse(X0))),positive_part(X0)),
inference(forward_demodulation,[status(thm)],[f42,f22572]) ).
fof(f22574,plain,
! [X0] : positive_part(X0) = greatest_lower_bound(positive_part(X0),inverse(negative_part(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f27,f22573]) ).
fof(f26186,plain,
! [X0] : identity = multiply(greatest_lower_bound(inverse(negative_part(inverse(X0))),positive_part(X0)),inverse(positive_part(X0))),
inference(paramodulation,[status(thm)],[f22574,f21482]) ).
fof(f26187,plain,
! [X0] : identity = multiply(greatest_lower_bound(positive_part(X0),inverse(negative_part(inverse(X0)))),inverse(positive_part(X0))),
inference(forward_demodulation,[status(thm)],[f1129,f26186]) ).
fof(f26188,plain,
! [X0] : identity = negative_part(multiply(inverse(negative_part(inverse(X0))),inverse(positive_part(X0)))),
inference(forward_demodulation,[status(thm)],[f1147,f26187]) ).
fof(f26189,plain,
! [X0] : identity = negative_part(inverse(multiply(positive_part(X0),negative_part(inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f41,f26188]) ).
fof(f48262,plain,
! [X0] : least_upper_bound(negative_part(multiply(positive_part(inverse(X0)),negative_part(X0))),inverse(identity)) = negative_part(multiply(positive_part(inverse(X0)),negative_part(X0))),
inference(paramodulation,[status(thm)],[f20988,f19852]) ).
fof(f48263,plain,
! [X0] : least_upper_bound(inverse(identity),negative_part(multiply(positive_part(inverse(X0)),negative_part(X0)))) = negative_part(multiply(positive_part(inverse(X0)),negative_part(X0))),
inference(forward_demodulation,[status(thm)],[f28,f48262]) ).
fof(f48264,plain,
! [X0] : least_upper_bound(identity,negative_part(multiply(positive_part(inverse(X0)),negative_part(X0)))) = negative_part(multiply(positive_part(inverse(X0)),negative_part(X0))),
inference(forward_demodulation,[status(thm)],[f39,f48263]) ).
fof(f48265,plain,
! [X0] : positive_part(negative_part(multiply(positive_part(inverse(X0)),negative_part(X0)))) = negative_part(multiply(positive_part(inverse(X0)),negative_part(X0))),
inference(forward_demodulation,[status(thm)],[f86,f48264]) ).
fof(f48266,plain,
! [X0] : identity = negative_part(multiply(positive_part(inverse(X0)),negative_part(X0))),
inference(forward_demodulation,[status(thm)],[f105,f48265]) ).
fof(f48625,plain,
! [X0] : identity = negative_part(multiply(positive_part(X0),negative_part(inverse(X0)))),
inference(paramodulation,[status(thm)],[f40,f48266]) ).
fof(f49269,plain,
! [X0] : multiply(positive_part(X0),negative_part(inverse(X0))) = multiply(identity,inverse(negative_part(inverse(multiply(positive_part(X0),negative_part(inverse(X0))))))),
inference(paramodulation,[status(thm)],[f48625,f13378]) ).
fof(f49270,plain,
! [X0] : multiply(positive_part(X0),negative_part(inverse(X0))) = inverse(negative_part(inverse(multiply(positive_part(X0),negative_part(inverse(X0)))))),
inference(forward_demodulation,[status(thm)],[f24,f49269]) ).
fof(f49271,plain,
! [X0] : multiply(positive_part(X0),negative_part(inverse(X0))) = inverse(identity),
inference(forward_demodulation,[status(thm)],[f26189,f49270]) ).
fof(f49272,plain,
! [X0] : multiply(positive_part(X0),negative_part(inverse(X0))) = identity,
inference(forward_demodulation,[status(thm)],[f39,f49271]) ).
fof(f50223,plain,
! [X0] : negative_part(inverse(X0)) = multiply(inverse(positive_part(X0)),identity),
inference(paramodulation,[status(thm)],[f49272,f60]) ).
fof(f50224,plain,
! [X0] : negative_part(inverse(X0)) = inverse(positive_part(X0)),
inference(forward_demodulation,[status(thm)],[f282,f50223]) ).
fof(f50392,plain,
! [X0] : X0 = multiply(negative_part(X0),inverse(inverse(positive_part(X0)))),
inference(backward_demodulation,[status(thm)],[f50224,f13378]) ).
fof(f50393,plain,
! [X0] : X0 = multiply(negative_part(X0),positive_part(X0)),
inference(forward_demodulation,[status(thm)],[f40,f50392]) ).
fof(f50394,plain,
! [X0] : X0 = multiply(positive_part(X0),negative_part(X0)),
inference(forward_demodulation,[status(thm)],[f1436,f50393]) ).
fof(f51588,plain,
a != a,
inference(backward_demodulation,[status(thm)],[f50394,f46]) ).
fof(f51589,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f51588]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP167-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n015.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Apr 30 00:36:47 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 46.71/6.28 % Refutation found
% 46.71/6.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 46.71/6.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 48.29/6.49 % Elapsed time: 6.170671 seconds
% 48.29/6.49 % CPU time: 48.363324 seconds
% 48.29/6.49 % Total memory used: 706.878 MB
% 48.29/6.49 % Net memory used: 698.485 MB
%------------------------------------------------------------------------------