TSTP Solution File: GRP183-4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP183-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 136.01s 17.52s
% Output : CNFRefutation 140.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 17
% Syntax : Number of formulae : 133 ( 133 unt; 0 def)
% Number of atoms : 133 ( 132 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 : 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 : 226 (; 226 !; 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),least_upper_bound(inverse(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),least_upper_bound(inverse(a),identity)) != identity,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f40,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(paramodulation,[status(thm)],[f36,f21]) ).
fof(f42,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f23,f29]) ).
fof(f46,plain,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f24,f30]) ).
fof(f58,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f21,f22]) ).
fof(f59,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f20,f58]) ).
fof(f64,plain,
! [X0,X1] : least_upper_bound(least_upper_bound(X0,X1),X0) = least_upper_bound(X0,X1),
inference(paramodulation,[status(thm)],[f30,f42]) ).
fof(f65,plain,
! [X0,X1] : least_upper_bound(X0,least_upper_bound(X0,X1)) = least_upper_bound(X0,X1),
inference(forward_demodulation,[status(thm)],[f24,f64]) ).
fof(f72,plain,
! [X0,X1] : greatest_lower_bound(greatest_lower_bound(X0,X1),X0) = greatest_lower_bound(X0,X1),
inference(paramodulation,[status(thm)],[f29,f46]) ).
fof(f73,plain,
! [X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X0,X1)) = greatest_lower_bound(X0,X1),
inference(forward_demodulation,[status(thm)],[f23,f72]) ).
fof(f85,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
inference(paramodulation,[status(thm)],[f21,f59]) ).
fof(f86,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f36,f85]) ).
fof(f94,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(f102,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(f103,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,f102]) ).
fof(f149,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(f255,plain,
! [X0,X1] : multiply(X0,least_upper_bound(identity,X1)) = least_upper_bound(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f86,f31]) ).
fof(f295,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f36,f37]) ).
fof(f320,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)],[f59,f32]) ).
fof(f325,plain,
! [X0,X1] : multiply(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f86,f32]) ).
fof(f442,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(paramodulation,[status(thm)],[f59,f295]) ).
fof(f561,plain,
! [X0,X1] : multiply(least_upper_bound(identity,X0),X1) = least_upper_bound(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f20,f33]) ).
fof(f690,plain,
! [X0] : multiply(inverse(X0),least_upper_bound(identity,X0)) = least_upper_bound(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f21,f255]) ).
fof(f691,plain,
! [X0] : multiply(inverse(X0),least_upper_bound(identity,X0)) = least_upper_bound(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f24,f690]) ).
fof(f730,plain,
! [X0,X1] : multiply(greatest_lower_bound(identity,X0),X1) = greatest_lower_bound(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f20,f34]) ).
fof(f741,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)],[f442,f34]) ).
fof(f877,plain,
! [X0] : multiply(inverse(X0),greatest_lower_bound(identity,X0)) = greatest_lower_bound(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f21,f325]) ).
fof(f878,plain,
! [X0] : multiply(inverse(X0),greatest_lower_bound(identity,X0)) = greatest_lower_bound(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f23,f877]) ).
fof(f903,plain,
greatest_lower_bound(least_upper_bound(identity,a),least_upper_bound(inverse(a),identity)) != identity,
inference(forward_demodulation,[status(thm)],[f24,f38]) ).
fof(f904,plain,
greatest_lower_bound(least_upper_bound(identity,a),least_upper_bound(identity,inverse(a))) != identity,
inference(forward_demodulation,[status(thm)],[f24,f903]) ).
fof(f948,plain,
! [X0,X1] : greatest_lower_bound(X0,multiply(least_upper_bound(identity,X1),X0)) = X0,
inference(paramodulation,[status(thm)],[f561,f30]) ).
fof(f960,plain,
! [X0] : greatest_lower_bound(inverse(least_upper_bound(identity,X0)),identity) = inverse(least_upper_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f40,f948]) ).
fof(f961,plain,
! [X0] : greatest_lower_bound(identity,inverse(least_upper_bound(identity,X0))) = inverse(least_upper_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f23,f960]) ).
fof(f1520,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)],[f65,f691]) ).
fof(f1521,plain,
! [X0] : identity = least_upper_bound(identity,inverse(least_upper_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f21,f1520]) ).
fof(f1524,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,f691]) ).
fof(f1525,plain,
! [X0] : inverse(greatest_lower_bound(identity,X0)) = least_upper_bound(identity,inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f86,f1524]) ).
fof(f1531,plain,
! [X0] : inverse(least_upper_bound(identity,inverse(X0))) = multiply(inverse(least_upper_bound(identity,X0)),X0),
inference(paramodulation,[status(thm)],[f691,f295]) ).
fof(f1592,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)],[f1521,f26]) ).
fof(f1802,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)],[f73,f878]) ).
fof(f1803,plain,
! [X0] : identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f21,f1802]) ).
fof(f1815,plain,
! [X0] : inverse(greatest_lower_bound(identity,inverse(X0))) = multiply(inverse(greatest_lower_bound(identity,X0)),X0),
inference(paramodulation,[status(thm)],[f878,f295]) ).
fof(f2430,plain,
! [X0] : inverse(greatest_lower_bound(identity,X0)) = least_upper_bound(identity,inverse(greatest_lower_bound(X0,identity))),
inference(paramodulation,[status(thm)],[f23,f1525]) ).
fof(f2911,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)],[f1531,f561]) ).
fof(f2912,plain,
! [X0] : multiply(identity,X0) = least_upper_bound(X0,inverse(least_upper_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f1521,f2911]) ).
fof(f2913,plain,
! [X0] : X0 = least_upper_bound(X0,inverse(least_upper_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f20,f2912]) ).
fof(f2954,plain,
! [X0] : inverse(X0) = least_upper_bound(inverse(X0),inverse(least_upper_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f36,f2913]) ).
fof(f3064,plain,
! [X0] : inverse(greatest_lower_bound(X0,identity)) = least_upper_bound(inverse(greatest_lower_bound(X0,identity)),inverse(identity)),
inference(paramodulation,[status(thm)],[f42,f2954]) ).
fof(f3065,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,f3064]) ).
fof(f3066,plain,
! [X0] : inverse(greatest_lower_bound(X0,identity)) = least_upper_bound(identity,inverse(greatest_lower_bound(X0,identity))),
inference(forward_demodulation,[status(thm)],[f35,f3065]) ).
fof(f3067,plain,
! [X0] : inverse(greatest_lower_bound(X0,identity)) = inverse(greatest_lower_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f2430,f3066]) ).
fof(f3087,plain,
! [X0] : greatest_lower_bound(inverse(least_upper_bound(identity,X0)),inverse(X0)) = inverse(least_upper_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f2954,f46]) ).
fof(f3088,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,f3087]) ).
fof(f3193,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,f1592]) ).
fof(f3450,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)],[f1815,f730]) ).
fof(f3451,plain,
! [X0] : multiply(identity,X0) = greatest_lower_bound(X0,inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f1803,f3450]) ).
fof(f3452,plain,
! [X0] : X0 = greatest_lower_bound(X0,inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f20,f3451]) ).
fof(f3453,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)],[f1815,f561]) ).
fof(f3454,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)],[f1525,f3453]) ).
fof(f3455,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)],[f1815,f3454]) ).
fof(f3456,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)],[f1815,f325]) ).
fof(f3457,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,f3456]) ).
fof(f3500,plain,
! [X0] : inverse(X0) = greatest_lower_bound(inverse(X0),inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f36,f3452]) ).
fof(f3669,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)],[f3500,f94]) ).
fof(f4858,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)],[f3193,f149]) ).
fof(f4859,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,f4858]) ).
fof(f4860,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)],[f149,f4859]) ).
fof(f4861,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)],[f1592,f4860]) ).
fof(f5076,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)],[f4861,f46]) ).
fof(f6633,plain,
! [X0] : identity = greatest_lower_bound(inverse(greatest_lower_bound(X0,identity)),inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(paramodulation,[status(thm)],[f3067,f3457]) ).
fof(f6874,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)],[f1525,f5076]) ).
fof(f20512,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)],[f3669,f25]) ).
fof(f20513,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,f20512]) ).
fof(f20514,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)],[f3669,f20513]) ).
fof(f20515,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,f20514]) ).
fof(f20516,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,f20515]) ).
fof(f20567,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)],[f94,f20516]) ).
fof(f21868,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)],[f46,f20567]) ).
fof(f21869,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)],[f103,f21868]) ).
fof(f22830,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)],[f3067,f21869]) ).
fof(f22831,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)],[f21869,f22830]) ).
fof(f33088,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,f22831]) ).
fof(f43393,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)],[f3452,f320]) ).
fof(f43394,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)],[f59,f43393]) ).
fof(f43395,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,f43394]) ).
fof(f43396,plain,
! [X0,X1] : X0 = greatest_lower_bound(X0,inverse(greatest_lower_bound(multiply(identity,X1),inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f741,f43395]) ).
fof(f43397,plain,
! [X0,X1] : X0 = greatest_lower_bound(X0,inverse(greatest_lower_bound(X1,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f20,f43396]) ).
fof(f127265,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)],[f3455,f6874]) ).
fof(f127863,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)],[f127265,f43397]) ).
fof(f127864,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,f127863]) ).
fof(f127865,plain,
! [X0] : greatest_lower_bound(identity,inverse(X0)) = greatest_lower_bound(identity,inverse(least_upper_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f3088,f127864]) ).
fof(f127866,plain,
! [X0] : greatest_lower_bound(identity,inverse(X0)) = inverse(least_upper_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f961,f127865]) ).
fof(f128131,plain,
! [X0] : identity = greatest_lower_bound(inverse(greatest_lower_bound(X0,identity)),inverse(inverse(least_upper_bound(identity,X0)))),
inference(backward_demodulation,[status(thm)],[f127866,f6633]) ).
fof(f128132,plain,
! [X0] : identity = greatest_lower_bound(inverse(greatest_lower_bound(X0,identity)),least_upper_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f36,f128131]) ).
fof(f128133,plain,
! [X0] : identity = greatest_lower_bound(least_upper_bound(identity,X0),inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f33088,f128132]) ).
fof(f128195,plain,
! [X0] : greatest_lower_bound(identity,X0) = inverse(least_upper_bound(identity,inverse(X0))),
inference(paramodulation,[status(thm)],[f36,f127866]) ).
fof(f128969,plain,
! [X0] : inverse(greatest_lower_bound(identity,X0)) = least_upper_bound(identity,inverse(X0)),
inference(paramodulation,[status(thm)],[f128195,f36]) ).
fof(f129983,plain,
greatest_lower_bound(least_upper_bound(identity,a),inverse(greatest_lower_bound(identity,a))) != identity,
inference(backward_demodulation,[status(thm)],[f128969,f904]) ).
fof(f135020,plain,
identity != identity,
inference(backward_demodulation,[status(thm)],[f128133,f129983]) ).
fof(f135021,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f135020]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP183-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n026.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 11:47:58 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 136.01/17.52 % Refutation found
% 136.01/17.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 136.01/17.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 142.23/19.14 % Elapsed time: 18.548422 seconds
% 142.23/19.14 % CPU time: 135.152981 seconds
% 142.23/19.14 % Memory used: 1.425 GB
%------------------------------------------------------------------------------