TSTP Solution File: GRP183-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP183-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 142.32s 18.40s
% Output : CNFRefutation 146.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 17
% Syntax : Number of formulae : 130 ( 130 unt; 0 def)
% Number of atoms : 130 ( 129 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 224 (; 224 !; 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,negated_conjecture,
greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f21,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f22,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f23,plain,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f24,plain,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f25,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(f26,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(f29,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f30,plain,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f31,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(f32,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(f33,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(f34,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(f35,plain,
inverse(identity) = identity,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f36,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f37,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f38,plain,
greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != identity,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f41,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(paramodulation,[status(thm)],[f36,f21]) ).
fof(f42,plain,
greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(identity,a))) != identity,
inference(paramodulation,[status(thm)],[f23,f38]) ).
fof(f48,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f23,f29]) ).
fof(f52,plain,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f24,f30]) ).
fof(f60,plain,
! [X0,X1] : least_upper_bound(least_upper_bound(X0,X1),X0) = least_upper_bound(X0,X1),
inference(paramodulation,[status(thm)],[f30,f48]) ).
fof(f61,plain,
! [X0,X1] : least_upper_bound(X0,least_upper_bound(X0,X1)) = least_upper_bound(X0,X1),
inference(forward_demodulation,[status(thm)],[f24,f60]) ).
fof(f68,plain,
! [X0,X1] : greatest_lower_bound(greatest_lower_bound(X0,X1),X0) = greatest_lower_bound(X0,X1),
inference(paramodulation,[status(thm)],[f29,f52]) ).
fof(f69,plain,
! [X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X0,X1)) = greatest_lower_bound(X0,X1),
inference(forward_demodulation,[status(thm)],[f23,f68]) ).
fof(f78,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)],[f23,f25]) ).
fof(f86,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)],[f23,f25]) ).
fof(f87,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)],[f25,f86]) ).
fof(f100,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)],[f24,f26]) ).
fof(f210,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f21,f22]) ).
fof(f211,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f20,f210]) ).
fof(f221,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
inference(paramodulation,[status(thm)],[f21,f211]) ).
fof(f222,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f36,f221]) ).
fof(f264,plain,
! [X0,X1] : multiply(X0,least_upper_bound(identity,X1)) = least_upper_bound(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f222,f31]) ).
fof(f303,plain,
! [X0,X1,X2] : multiply(inverse(X0),greatest_lower_bound(multiply(X0,X1),X2)) = greatest_lower_bound(X1,multiply(inverse(X0),X2)),
inference(paramodulation,[status(thm)],[f211,f32]) ).
fof(f308,plain,
! [X0,X1] : multiply(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f222,f32]) ).
fof(f350,plain,
! [X0,X1] : multiply(least_upper_bound(identity,X0),X1) = least_upper_bound(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f20,f33]) ).
fof(f384,plain,
greatest_lower_bound(least_upper_bound(identity,a),inverse(greatest_lower_bound(identity,a))) != identity,
inference(forward_demodulation,[status(thm)],[f24,f42]) ).
fof(f396,plain,
! [X0,X1] : multiply(greatest_lower_bound(identity,X0),X1) = greatest_lower_bound(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f20,f34]) ).
fof(f439,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f36,f37]) ).
fof(f894,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(paramodulation,[status(thm)],[f211,f439]) ).
fof(f993,plain,
! [X0,X1,X2] : multiply(greatest_lower_bound(X0,inverse(multiply(X1,X2))),X1) = greatest_lower_bound(multiply(X0,X1),inverse(X2)),
inference(paramodulation,[status(thm)],[f894,f34]) ).
fof(f1027,plain,
! [X0] : multiply(inverse(X0),least_upper_bound(identity,X0)) = least_upper_bound(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f21,f264]) ).
fof(f1028,plain,
! [X0] : multiply(inverse(X0),least_upper_bound(identity,X0)) = least_upper_bound(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f24,f1027]) ).
fof(f1070,plain,
! [X0] : multiply(inverse(X0),greatest_lower_bound(identity,X0)) = greatest_lower_bound(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f21,f308]) ).
fof(f1071,plain,
! [X0] : multiply(inverse(X0),greatest_lower_bound(identity,X0)) = greatest_lower_bound(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f23,f1070]) ).
fof(f1145,plain,
! [X0,X1] : greatest_lower_bound(X0,multiply(least_upper_bound(identity,X1),X0)) = X0,
inference(paramodulation,[status(thm)],[f350,f30]) ).
fof(f1157,plain,
! [X0] : greatest_lower_bound(inverse(least_upper_bound(identity,X0)),identity) = inverse(least_upper_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f41,f1145]) ).
fof(f1158,plain,
! [X0] : greatest_lower_bound(identity,inverse(least_upper_bound(identity,X0))) = inverse(least_upper_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f23,f1157]) ).
fof(f1867,plain,
! [X0] : multiply(inverse(least_upper_bound(identity,X0)),least_upper_bound(identity,X0)) = least_upper_bound(identity,inverse(least_upper_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f61,f1028]) ).
fof(f1868,plain,
! [X0] : identity = least_upper_bound(identity,inverse(least_upper_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f21,f1867]) ).
fof(f1871,plain,
! [X0] : multiply(inverse(greatest_lower_bound(identity,X0)),identity) = least_upper_bound(identity,inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f29,f1028]) ).
fof(f1872,plain,
! [X0] : inverse(greatest_lower_bound(identity,X0)) = least_upper_bound(identity,inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f222,f1871]) ).
fof(f1878,plain,
! [X0] : inverse(least_upper_bound(identity,inverse(X0))) = multiply(inverse(least_upper_bound(identity,X0)),X0),
inference(paramodulation,[status(thm)],[f1028,f439]) ).
fof(f1942,plain,
! [X0,X1] : least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(identity,X0)),X1)) = least_upper_bound(identity,X1),
inference(paramodulation,[status(thm)],[f1868,f26]) ).
fof(f2027,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)],[f69,f1071]) ).
fof(f2028,plain,
! [X0] : identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f21,f2027]) ).
fof(f2040,plain,
! [X0] : inverse(greatest_lower_bound(identity,inverse(X0))) = multiply(inverse(greatest_lower_bound(identity,X0)),X0),
inference(paramodulation,[status(thm)],[f1071,f439]) ).
fof(f2728,plain,
! [X0] : inverse(greatest_lower_bound(identity,X0)) = least_upper_bound(identity,inverse(greatest_lower_bound(X0,identity))),
inference(paramodulation,[status(thm)],[f23,f1872]) ).
fof(f2931,plain,
! [X0] : multiply(least_upper_bound(identity,inverse(least_upper_bound(identity,X0))),X0) = least_upper_bound(X0,inverse(least_upper_bound(identity,inverse(X0)))),
inference(paramodulation,[status(thm)],[f1878,f350]) ).
fof(f2932,plain,
! [X0] : multiply(identity,X0) = least_upper_bound(X0,inverse(least_upper_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f1868,f2931]) ).
fof(f2933,plain,
! [X0] : X0 = least_upper_bound(X0,inverse(least_upper_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f20,f2932]) ).
fof(f2974,plain,
! [X0] : inverse(X0) = least_upper_bound(inverse(X0),inverse(least_upper_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f36,f2933]) ).
fof(f3084,plain,
! [X0] : inverse(greatest_lower_bound(X0,identity)) = least_upper_bound(inverse(greatest_lower_bound(X0,identity)),inverse(identity)),
inference(paramodulation,[status(thm)],[f48,f2974]) ).
fof(f3085,plain,
! [X0] : inverse(greatest_lower_bound(X0,identity)) = least_upper_bound(inverse(identity),inverse(greatest_lower_bound(X0,identity))),
inference(forward_demodulation,[status(thm)],[f24,f3084]) ).
fof(f3086,plain,
! [X0] : inverse(greatest_lower_bound(X0,identity)) = least_upper_bound(identity,inverse(greatest_lower_bound(X0,identity))),
inference(forward_demodulation,[status(thm)],[f35,f3085]) ).
fof(f3087,plain,
! [X0] : inverse(greatest_lower_bound(X0,identity)) = inverse(greatest_lower_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f2728,f3086]) ).
fof(f3107,plain,
! [X0] : greatest_lower_bound(inverse(least_upper_bound(identity,X0)),inverse(X0)) = inverse(least_upper_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f2974,f52]) ).
fof(f3108,plain,
! [X0] : greatest_lower_bound(inverse(X0),inverse(least_upper_bound(identity,X0))) = inverse(least_upper_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f23,f3107]) ).
fof(f3495,plain,
! [X0,X1] : least_upper_bound(identity,least_upper_bound(X0,inverse(least_upper_bound(identity,X1)))) = least_upper_bound(identity,X0),
inference(paramodulation,[status(thm)],[f24,f1942]) ).
fof(f3785,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)],[f2040,f396]) ).
fof(f3786,plain,
! [X0] : multiply(identity,X0) = greatest_lower_bound(X0,inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f2028,f3785]) ).
fof(f3787,plain,
! [X0] : X0 = greatest_lower_bound(X0,inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f20,f3786]) ).
fof(f3788,plain,
! [X0] : multiply(least_upper_bound(identity,inverse(greatest_lower_bound(identity,X0))),X0) = least_upper_bound(X0,inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(paramodulation,[status(thm)],[f2040,f350]) ).
fof(f3789,plain,
! [X0] : multiply(inverse(greatest_lower_bound(identity,X0)),X0) = least_upper_bound(X0,inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f1872,f3788]) ).
fof(f3790,plain,
! [X0] : inverse(greatest_lower_bound(identity,inverse(X0))) = least_upper_bound(X0,inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f2040,f3789]) ).
fof(f3791,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)],[f2040,f308]) ).
fof(f3792,plain,
! [X0] : identity = greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f21,f3791]) ).
fof(f3835,plain,
! [X0] : inverse(X0) = greatest_lower_bound(inverse(X0),inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f36,f3787]) ).
fof(f4006,plain,
! [X0,X1] : greatest_lower_bound(inverse(X0),greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),X1)) = greatest_lower_bound(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f3835,f78]) ).
fof(f5195,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(identity,X1)) = least_upper_bound(least_upper_bound(X1,inverse(least_upper_bound(identity,X2))),least_upper_bound(X0,identity)),
inference(paramodulation,[status(thm)],[f3495,f100]) ).
fof(f5196,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(identity,X1)) = least_upper_bound(X1,least_upper_bound(inverse(least_upper_bound(identity,X2)),least_upper_bound(X0,identity))),
inference(forward_demodulation,[status(thm)],[f26,f5195]) ).
fof(f5197,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(identity,X1)) = least_upper_bound(X1,least_upper_bound(identity,least_upper_bound(inverse(least_upper_bound(identity,X2)),X0))),
inference(forward_demodulation,[status(thm)],[f100,f5196]) ).
fof(f5198,plain,
! [X0,X1] : least_upper_bound(X0,least_upper_bound(identity,X1)) = least_upper_bound(X1,least_upper_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f1942,f5197]) ).
fof(f5436,plain,
! [X0,X1] : greatest_lower_bound(least_upper_bound(identity,X0),least_upper_bound(X0,least_upper_bound(identity,X1))) = least_upper_bound(identity,X0),
inference(paramodulation,[status(thm)],[f5198,f52]) ).
fof(f7165,plain,
! [X0] : identity = greatest_lower_bound(inverse(greatest_lower_bound(X0,identity)),inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(paramodulation,[status(thm)],[f3087,f3792]) ).
fof(f7409,plain,
! [X0,X1] : greatest_lower_bound(least_upper_bound(identity,X0),least_upper_bound(X0,inverse(greatest_lower_bound(identity,X1)))) = least_upper_bound(identity,X0),
inference(paramodulation,[status(thm)],[f1872,f5436]) ).
fof(f20230,plain,
! [X0,X1,X2] : greatest_lower_bound(inverse(X0),greatest_lower_bound(greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),X1),X2)) = greatest_lower_bound(greatest_lower_bound(X1,inverse(X0)),X2),
inference(paramodulation,[status(thm)],[f4006,f25]) ).
fof(f20231,plain,
! [X0,X1,X2] : greatest_lower_bound(inverse(X0),greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),greatest_lower_bound(X1,X2))) = greatest_lower_bound(greatest_lower_bound(X1,inverse(X0)),X2),
inference(forward_demodulation,[status(thm)],[f25,f20230]) ).
fof(f20232,plain,
! [X0,X1,X2] : greatest_lower_bound(greatest_lower_bound(X0,X1),inverse(X2)) = greatest_lower_bound(greatest_lower_bound(X0,inverse(X2)),X1),
inference(forward_demodulation,[status(thm)],[f4006,f20231]) ).
fof(f20233,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(X1,inverse(X2))) = greatest_lower_bound(greatest_lower_bound(X0,inverse(X2)),X1),
inference(forward_demodulation,[status(thm)],[f25,f20232]) ).
fof(f20234,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(X1,inverse(X2))) = greatest_lower_bound(X0,greatest_lower_bound(inverse(X2),X1)),
inference(forward_demodulation,[status(thm)],[f25,f20233]) ).
fof(f20283,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(X1,inverse(X2))) = greatest_lower_bound(inverse(X2),greatest_lower_bound(X1,X0)),
inference(paramodulation,[status(thm)],[f78,f20234]) ).
fof(f21967,plain,
! [X0,X1,X2] : greatest_lower_bound(least_upper_bound(X0,X1),greatest_lower_bound(X1,inverse(X2))) = greatest_lower_bound(inverse(X2),X1),
inference(paramodulation,[status(thm)],[f52,f20283]) ).
fof(f21968,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(least_upper_bound(X1,X0),inverse(X2))) = greatest_lower_bound(inverse(X2),X0),
inference(forward_demodulation,[status(thm)],[f87,f21967]) ).
fof(f22611,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(least_upper_bound(X1,X0),inverse(greatest_lower_bound(X2,identity)))) = greatest_lower_bound(inverse(greatest_lower_bound(identity,X2)),X0),
inference(paramodulation,[status(thm)],[f3087,f21968]) ).
fof(f22612,plain,
! [X0,X1] : greatest_lower_bound(inverse(greatest_lower_bound(X0,identity)),X1) = greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),X1),
inference(forward_demodulation,[status(thm)],[f21968,f22611]) ).
fof(f33918,plain,
! [X0,X1] : greatest_lower_bound(inverse(greatest_lower_bound(X0,identity)),X1) = greatest_lower_bound(X1,inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f23,f22612]) ).
fof(f43803,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = greatest_lower_bound(X1,multiply(inverse(X0),inverse(greatest_lower_bound(identity,inverse(multiply(X0,X1)))))),
inference(paramodulation,[status(thm)],[f3787,f303]) ).
fof(f43804,plain,
! [X0,X1] : X0 = greatest_lower_bound(X0,multiply(inverse(X1),inverse(greatest_lower_bound(identity,inverse(multiply(X1,X0)))))),
inference(forward_demodulation,[status(thm)],[f211,f43803]) ).
fof(f43805,plain,
! [X0,X1] : X0 = greatest_lower_bound(X0,inverse(multiply(greatest_lower_bound(identity,inverse(multiply(X1,X0))),X1))),
inference(forward_demodulation,[status(thm)],[f37,f43804]) ).
fof(f43806,plain,
! [X0,X1] : X0 = greatest_lower_bound(X0,inverse(greatest_lower_bound(multiply(identity,X1),inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f993,f43805]) ).
fof(f43807,plain,
! [X0,X1] : X0 = greatest_lower_bound(X0,inverse(greatest_lower_bound(X1,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f20,f43806]) ).
fof(f130513,plain,
! [X0] : greatest_lower_bound(least_upper_bound(identity,X0),inverse(greatest_lower_bound(identity,inverse(X0)))) = least_upper_bound(identity,X0),
inference(paramodulation,[status(thm)],[f3790,f7409]) ).
fof(f131133,plain,
! [X0] : greatest_lower_bound(identity,inverse(X0)) = greatest_lower_bound(greatest_lower_bound(identity,inverse(X0)),inverse(least_upper_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f130513,f43807]) ).
fof(f131134,plain,
! [X0] : greatest_lower_bound(identity,inverse(X0)) = greatest_lower_bound(identity,greatest_lower_bound(inverse(X0),inverse(least_upper_bound(identity,X0)))),
inference(forward_demodulation,[status(thm)],[f25,f131133]) ).
fof(f131135,plain,
! [X0] : greatest_lower_bound(identity,inverse(X0)) = greatest_lower_bound(identity,inverse(least_upper_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f3108,f131134]) ).
fof(f131136,plain,
! [X0] : greatest_lower_bound(identity,inverse(X0)) = inverse(least_upper_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f1158,f131135]) ).
fof(f131423,plain,
! [X0] : identity = greatest_lower_bound(inverse(greatest_lower_bound(X0,identity)),inverse(inverse(least_upper_bound(identity,X0)))),
inference(backward_demodulation,[status(thm)],[f131136,f7165]) ).
fof(f131424,plain,
! [X0] : identity = greatest_lower_bound(inverse(greatest_lower_bound(X0,identity)),least_upper_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f36,f131423]) ).
fof(f131425,plain,
! [X0] : identity = greatest_lower_bound(least_upper_bound(identity,X0),inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f33918,f131424]) ).
fof(f137534,plain,
identity != identity,
inference(backward_demodulation,[status(thm)],[f131425,f384]) ).
fof(f137535,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f137534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP183-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n031.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:51:07 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 142.32/18.40 % Refutation found
% 142.32/18.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 142.32/18.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 146.67/19.74 % Elapsed time: 19.396137 seconds
% 146.67/19.74 % CPU time: 145.539385 seconds
% 146.67/19.74 % Memory used: 1.364 GB
%------------------------------------------------------------------------------