TSTP Solution File: GRP114-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP114-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:19:15 EDT 2024
% Result : Unsatisfiable 35.53s 4.87s
% Output : CNFRefutation 36.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 19
% Syntax : Number of formulae : 144 ( 144 unt; 0 def)
% Number of atoms : 144 ( 143 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 : 6 ( 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 : 214 ( 214 !; 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,
inverse(identity) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : inverse(inverse(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : inverse(multiply(X,Y)) = multiply(inverse(Y),inverse(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] : intersection(X,Y) = intersection(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : union(X,Y) = union(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y,Z] : intersection(X,intersection(Y,Z)) = intersection(intersection(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y,Z] : union(X,union(Y,Z)) = union(union(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y] : union(intersection(X,Y),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y] : intersection(union(X,Y),Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,Z] : multiply(X,union(Y,Z)) = union(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y,Z] : multiply(X,intersection(Y,Z)) = intersection(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [Y,Z,X] : multiply(union(Y,Z),X) = union(multiply(Y,X),multiply(Z,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [Y,Z,X] : multiply(intersection(Y,Z),X) = intersection(multiply(Y,X),multiply(Z,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] : positive_part(X) = union(X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] : negative_part(X) = intersection(X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
multiply(positive_part(a),negative_part(a)) != a,
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,
inverse(identity) = identity,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f26,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f27,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f30,plain,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f31,plain,
! [X0,X1] : union(X0,X1) = union(X1,X0),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f32,plain,
! [X0,X1,X2] : intersection(X0,intersection(X1,X2)) = intersection(intersection(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f33,plain,
! [X0,X1,X2] : union(X0,union(X1,X2)) = union(union(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f34,plain,
! [X0,X1] : union(intersection(X0,X1),X1) = X1,
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f35,plain,
! [X0,X1] : intersection(union(X0,X1),X1) = X1,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f36,plain,
! [X0,X1,X2] : multiply(X0,union(X1,X2)) = union(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f37,plain,
! [X0,X1,X2] : multiply(X0,intersection(X1,X2)) = intersection(multiply(X0,X1),multiply(X0,X2)),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f38,plain,
! [X0,X1,X2] : multiply(union(X0,X1),X2) = union(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f39,plain,
! [X0,X1,X2] : multiply(intersection(X0,X1),X2) = intersection(multiply(X0,X2),multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f40,plain,
! [X0] : positive_part(X0) = union(X0,identity),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f41,plain,
! [X0] : negative_part(X0) = intersection(X0,identity),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f42,plain,
multiply(positive_part(a),negative_part(a)) != a,
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f43,plain,
! [X0,X1] : union(X0,intersection(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f31,f34]) ).
fof(f44,plain,
! [X0,X1] : intersection(X0,union(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f30,f35]) ).
fof(f46,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(paramodulation,[status(thm)],[f26,f23]) ).
fof(f52,plain,
! [X0] : union(identity,negative_part(X0)) = identity,
inference(paramodulation,[status(thm)],[f41,f43]) ).
fof(f57,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f58,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f22,f57]) ).
fof(f60,plain,
! [X0] : intersection(identity,positive_part(X0)) = identity,
inference(paramodulation,[status(thm)],[f40,f44]) ).
fof(f81,plain,
! [X0] : union(positive_part(X0),identity) = positive_part(X0),
inference(paramodulation,[status(thm)],[f60,f43]) ).
fof(f82,plain,
! [X0] : positive_part(positive_part(X0)) = positive_part(X0),
inference(forward_demodulation,[status(thm)],[f40,f81]) ).
fof(f91,plain,
! [X0] : inverse(multiply(identity,X0)) = multiply(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f25,f27]) ).
fof(f92,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),identity),
inference(forward_demodulation,[status(thm)],[f22,f91]) ).
fof(f99,plain,
! [X0] : negative_part(X0) = intersection(identity,X0),
inference(paramodulation,[status(thm)],[f41,f30]) ).
fof(f102,plain,
! [X0,X1] : union(X0,intersection(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f30,f43]) ).
fof(f105,plain,
! [X0] : negative_part(positive_part(X0)) = identity,
inference(backward_demodulation,[status(thm)],[f99,f60]) ).
fof(f126,plain,
! [X0] : positive_part(X0) = union(identity,X0),
inference(paramodulation,[status(thm)],[f40,f31]) ).
fof(f129,plain,
! [X0,X1] : intersection(X0,union(X0,X1)) = X0,
inference(paramodulation,[status(thm)],[f31,f44]) ).
fof(f132,plain,
! [X0] : positive_part(negative_part(X0)) = identity,
inference(backward_demodulation,[status(thm)],[f126,f52]) ).
fof(f167,plain,
! [X0] : intersection(X0,positive_part(X0)) = X0,
inference(paramodulation,[status(thm)],[f126,f44]) ).
fof(f198,plain,
! [X0,X1] : intersection(X0,intersection(X1,identity)) = negative_part(intersection(X0,X1)),
inference(paramodulation,[status(thm)],[f41,f32]) ).
fof(f199,plain,
! [X0,X1] : intersection(X0,negative_part(X1)) = negative_part(intersection(X0,X1)),
inference(forward_demodulation,[status(thm)],[f41,f198]) ).
fof(f206,plain,
! [X0,X1] : intersection(identity,intersection(X0,X1)) = intersection(negative_part(X0),X1),
inference(paramodulation,[status(thm)],[f99,f32]) ).
fof(f207,plain,
! [X0,X1] : negative_part(intersection(X0,X1)) = intersection(negative_part(X0),X1),
inference(forward_demodulation,[status(thm)],[f99,f206]) ).
fof(f208,plain,
! [X0,X1] : intersection(X0,negative_part(X1)) = intersection(negative_part(X0),X1),
inference(forward_demodulation,[status(thm)],[f199,f207]) ).
fof(f255,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f26,f92]) ).
fof(f256,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f26,f255]) ).
fof(f285,plain,
! [X0,X1] : union(X0,union(X1,identity)) = positive_part(union(X0,X1)),
inference(paramodulation,[status(thm)],[f40,f33]) ).
fof(f286,plain,
! [X0,X1] : union(X0,positive_part(X1)) = positive_part(union(X0,X1)),
inference(forward_demodulation,[status(thm)],[f40,f285]) ).
fof(f295,plain,
! [X0,X1] : union(identity,union(X0,X1)) = union(positive_part(X0),X1),
inference(paramodulation,[status(thm)],[f126,f33]) ).
fof(f296,plain,
! [X0,X1] : positive_part(union(X0,X1)) = union(positive_part(X0),X1),
inference(forward_demodulation,[status(thm)],[f126,f295]) ).
fof(f297,plain,
! [X0,X1] : union(X0,positive_part(X1)) = union(positive_part(X0),X1),
inference(forward_demodulation,[status(thm)],[f286,f296]) ).
fof(f472,plain,
! [X0,X1] : multiply(X0,union(identity,X1)) = union(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f256,f36]) ).
fof(f473,plain,
! [X0,X1] : multiply(X0,positive_part(X1)) = union(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f126,f472]) ).
fof(f612,plain,
! [X0,X1] : union(negative_part(X0),intersection(X0,negative_part(X1))) = negative_part(X0),
inference(paramodulation,[status(thm)],[f208,f102]) ).
fof(f761,plain,
! [X0,X1] : intersection(positive_part(X0),union(X0,positive_part(X1))) = positive_part(X0),
inference(paramodulation,[status(thm)],[f297,f129]) ).
fof(f783,plain,
! [X0,X1] : multiply(X0,intersection(identity,X1)) = intersection(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f256,f37]) ).
fof(f784,plain,
! [X0,X1] : multiply(X0,negative_part(X1)) = intersection(X0,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f99,f783]) ).
fof(f909,plain,
! [X0] : multiply(inverse(X0),positive_part(X0)) = union(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f23,f473]) ).
fof(f910,plain,
! [X0] : multiply(inverse(X0),positive_part(X0)) = positive_part(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f40,f909]) ).
fof(f917,plain,
! [X0] : multiply(X0,positive_part(inverse(X0))) = union(X0,identity),
inference(paramodulation,[status(thm)],[f46,f473]) ).
fof(f918,plain,
! [X0] : multiply(X0,positive_part(inverse(X0))) = positive_part(X0),
inference(forward_demodulation,[status(thm)],[f40,f917]) ).
fof(f960,plain,
! [X0,X1] : multiply(positive_part(X0),X1) = multiply(X0,multiply(positive_part(inverse(X0)),X1)),
inference(paramodulation,[status(thm)],[f918,f24]) ).
fof(f972,plain,
! [X0] : multiply(inverse(X0),negative_part(X0)) = intersection(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f23,f784]) ).
fof(f973,plain,
! [X0] : multiply(inverse(X0),negative_part(X0)) = negative_part(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f41,f972]) ).
fof(f983,plain,
! [X0] : multiply(X0,negative_part(inverse(X0))) = intersection(X0,identity),
inference(paramodulation,[status(thm)],[f46,f784]) ).
fof(f984,plain,
! [X0] : multiply(X0,negative_part(inverse(X0))) = negative_part(X0),
inference(forward_demodulation,[status(thm)],[f41,f983]) ).
fof(f1008,plain,
! [X0,X1,X2] : multiply(union(X0,X1),X2) = union(multiply(X1,X2),multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f31,f38]) ).
fof(f1009,plain,
! [X0,X1,X2] : multiply(union(X0,X1),X2) = multiply(union(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f38,f1008]) ).
fof(f1018,plain,
! [X0,X1] : multiply(union(identity,X0),X1) = union(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f38]) ).
fof(f1019,plain,
! [X0,X1] : multiply(positive_part(X0),X1) = union(X1,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f126,f1018]) ).
fof(f1044,plain,
! [X0,X1] : multiply(union(X0,X1),inverse(X1)) = union(multiply(X0,inverse(X1)),identity),
inference(paramodulation,[status(thm)],[f46,f38]) ).
fof(f1045,plain,
! [X0,X1] : multiply(union(X0,X1),inverse(X1)) = positive_part(multiply(X0,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f40,f1044]) ).
fof(f1108,plain,
! [X0] : multiply(inverse(negative_part(X0)),identity) = positive_part(inverse(negative_part(X0))),
inference(paramodulation,[status(thm)],[f132,f910]) ).
fof(f1109,plain,
! [X0] : inverse(negative_part(X0)) = positive_part(inverse(negative_part(X0))),
inference(forward_demodulation,[status(thm)],[f256,f1108]) ).
fof(f1110,plain,
! [X0] : multiply(inverse(positive_part(X0)),positive_part(X0)) = positive_part(inverse(positive_part(X0))),
inference(paramodulation,[status(thm)],[f82,f910]) ).
fof(f1111,plain,
! [X0] : identity = positive_part(inverse(positive_part(X0))),
inference(forward_demodulation,[status(thm)],[f23,f1110]) ).
fof(f1166,plain,
! [X0] : intersection(inverse(positive_part(X0)),identity) = inverse(positive_part(X0)),
inference(paramodulation,[status(thm)],[f1111,f167]) ).
fof(f1167,plain,
! [X0] : negative_part(inverse(positive_part(X0))) = inverse(positive_part(X0)),
inference(forward_demodulation,[status(thm)],[f41,f1166]) ).
fof(f1249,plain,
! [X0,X1] : multiply(intersection(identity,X0),X1) = intersection(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f39]) ).
fof(f1250,plain,
! [X0,X1] : multiply(negative_part(X0),X1) = intersection(X1,multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f99,f1249]) ).
fof(f1266,plain,
! [X0,X1] : multiply(intersection(X0,inverse(X1)),X1) = intersection(multiply(X0,X1),identity),
inference(paramodulation,[status(thm)],[f23,f39]) ).
fof(f1267,plain,
! [X0,X1] : multiply(intersection(X0,inverse(X1)),X1) = negative_part(multiply(X0,X1)),
inference(forward_demodulation,[status(thm)],[f41,f1266]) ).
fof(f1398,plain,
! [X0] : multiply(positive_part(inverse(X0)),negative_part(X0)) = union(negative_part(X0),negative_part(inverse(X0))),
inference(paramodulation,[status(thm)],[f973,f1019]) ).
fof(f1406,plain,
! [X0] : multiply(positive_part(inverse(X0)),X0) = union(X0,identity),
inference(paramodulation,[status(thm)],[f23,f1019]) ).
fof(f1407,plain,
! [X0] : multiply(positive_part(inverse(X0)),X0) = positive_part(X0),
inference(forward_demodulation,[status(thm)],[f40,f1406]) ).
fof(f1411,plain,
! [X0] : multiply(positive_part(X0),negative_part(inverse(X0))) = union(negative_part(inverse(X0)),negative_part(X0)),
inference(paramodulation,[status(thm)],[f984,f1019]) ).
fof(f1412,plain,
! [X0] : multiply(positive_part(X0),negative_part(inverse(X0))) = union(negative_part(X0),negative_part(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f31,f1411]) ).
fof(f1413,plain,
! [X0] : multiply(positive_part(X0),negative_part(inverse(X0))) = multiply(positive_part(inverse(X0)),negative_part(X0)),
inference(forward_demodulation,[status(thm)],[f1398,f1412]) ).
fof(f1472,plain,
! [X0] : multiply(positive_part(inverse(X0)),negative_part(X0)) = intersection(positive_part(inverse(X0)),positive_part(X0)),
inference(paramodulation,[status(thm)],[f1407,f784]) ).
fof(f1473,plain,
! [X0] : multiply(positive_part(X0),negative_part(inverse(X0))) = intersection(positive_part(inverse(X0)),positive_part(X0)),
inference(forward_demodulation,[status(thm)],[f1413,f1472]) ).
fof(f1474,plain,
! [X0] : multiply(positive_part(X0),negative_part(inverse(X0))) = intersection(positive_part(X0),positive_part(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f30,f1473]) ).
fof(f1489,plain,
! [X0] : X0 = multiply(inverse(positive_part(inverse(X0))),positive_part(X0)),
inference(paramodulation,[status(thm)],[f1407,f58]) ).
fof(f1711,plain,
! [X0] : multiply(negative_part(inverse(X0)),X0) = intersection(X0,identity),
inference(paramodulation,[status(thm)],[f23,f1250]) ).
fof(f1712,plain,
! [X0] : multiply(negative_part(inverse(X0)),X0) = negative_part(X0),
inference(forward_demodulation,[status(thm)],[f41,f1711]) ).
fof(f1720,plain,
! [X0] : multiply(negative_part(X0),positive_part(inverse(X0))) = intersection(positive_part(inverse(X0)),positive_part(X0)),
inference(paramodulation,[status(thm)],[f918,f1250]) ).
fof(f1721,plain,
! [X0] : multiply(negative_part(X0),positive_part(inverse(X0))) = intersection(positive_part(X0),positive_part(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f30,f1720]) ).
fof(f1722,plain,
! [X0] : multiply(negative_part(X0),positive_part(inverse(X0))) = multiply(positive_part(X0),negative_part(inverse(X0))),
inference(forward_demodulation,[status(thm)],[f1474,f1721]) ).
fof(f1798,plain,
! [X0] : X0 = multiply(inverse(negative_part(inverse(X0))),negative_part(X0)),
inference(paramodulation,[status(thm)],[f1712,f58]) ).
fof(f2026,plain,
! [X0] : multiply(inverse(positive_part(inverse(X0))),negative_part(positive_part(X0))) = intersection(inverse(positive_part(inverse(X0))),X0),
inference(paramodulation,[status(thm)],[f1489,f784]) ).
fof(f2027,plain,
! [X0] : multiply(inverse(positive_part(inverse(X0))),identity) = intersection(inverse(positive_part(inverse(X0))),X0),
inference(forward_demodulation,[status(thm)],[f105,f2026]) ).
fof(f2028,plain,
! [X0] : inverse(positive_part(inverse(X0))) = intersection(inverse(positive_part(inverse(X0))),X0),
inference(forward_demodulation,[status(thm)],[f256,f2027]) ).
fof(f2029,plain,
! [X0] : inverse(positive_part(inverse(X0))) = intersection(X0,inverse(positive_part(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f30,f2028]) ).
fof(f2181,plain,
! [X0] : multiply(inverse(negative_part(inverse(X0))),positive_part(negative_part(X0))) = union(inverse(negative_part(inverse(X0))),X0),
inference(paramodulation,[status(thm)],[f1798,f473]) ).
fof(f2182,plain,
! [X0] : multiply(inverse(negative_part(inverse(X0))),identity) = union(inverse(negative_part(inverse(X0))),X0),
inference(forward_demodulation,[status(thm)],[f132,f2181]) ).
fof(f2183,plain,
! [X0] : inverse(negative_part(inverse(X0))) = union(inverse(negative_part(inverse(X0))),X0),
inference(forward_demodulation,[status(thm)],[f256,f2182]) ).
fof(f2184,plain,
! [X0] : inverse(negative_part(inverse(X0))) = union(X0,inverse(negative_part(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f31,f2183]) ).
fof(f4502,plain,
! [X0,X1] : union(negative_part(X0),intersection(X0,inverse(positive_part(X1)))) = negative_part(X0),
inference(paramodulation,[status(thm)],[f1167,f612]) ).
fof(f4729,plain,
! [X0,X1] : intersection(positive_part(X0),union(X0,inverse(negative_part(X1)))) = positive_part(X0),
inference(paramodulation,[status(thm)],[f1109,f761]) ).
fof(f28968,plain,
! [X0,X1] : identity = multiply(union(X0,X1),inverse(union(X1,X0))),
inference(paramodulation,[status(thm)],[f46,f1009]) ).
fof(f32520,plain,
! [X0] : union(negative_part(X0),inverse(positive_part(inverse(X0)))) = negative_part(X0),
inference(paramodulation,[status(thm)],[f2029,f4502]) ).
fof(f32769,plain,
! [X0] : identity = multiply(union(inverse(positive_part(inverse(X0))),negative_part(X0)),inverse(negative_part(X0))),
inference(paramodulation,[status(thm)],[f32520,f28968]) ).
fof(f32770,plain,
! [X0] : identity = positive_part(multiply(inverse(positive_part(inverse(X0))),inverse(negative_part(X0)))),
inference(forward_demodulation,[status(thm)],[f1045,f32769]) ).
fof(f32771,plain,
! [X0] : identity = positive_part(inverse(multiply(negative_part(X0),positive_part(inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f27,f32770]) ).
fof(f32772,plain,
! [X0] : identity = positive_part(inverse(multiply(positive_part(X0),negative_part(inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f1722,f32771]) ).
fof(f33462,plain,
! [X0] : union(negative_part(multiply(positive_part(X0),negative_part(inverse(X0)))),inverse(identity)) = negative_part(multiply(positive_part(X0),negative_part(inverse(X0)))),
inference(paramodulation,[status(thm)],[f32772,f32520]) ).
fof(f33463,plain,
! [X0] : union(inverse(identity),negative_part(multiply(positive_part(X0),negative_part(inverse(X0))))) = negative_part(multiply(positive_part(X0),negative_part(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f31,f33462]) ).
fof(f33464,plain,
! [X0] : union(identity,negative_part(multiply(positive_part(X0),negative_part(inverse(X0))))) = negative_part(multiply(positive_part(X0),negative_part(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f25,f33463]) ).
fof(f33465,plain,
! [X0] : positive_part(negative_part(multiply(positive_part(X0),negative_part(inverse(X0))))) = negative_part(multiply(positive_part(X0),negative_part(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f126,f33464]) ).
fof(f33466,plain,
! [X0] : identity = negative_part(multiply(positive_part(X0),negative_part(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f132,f33465]) ).
fof(f42746,plain,
! [X0] : intersection(positive_part(X0),inverse(negative_part(inverse(X0)))) = positive_part(X0),
inference(paramodulation,[status(thm)],[f2184,f4729]) ).
fof(f42984,plain,
! [X0] : multiply(positive_part(X0),negative_part(inverse(X0))) = negative_part(multiply(positive_part(X0),negative_part(inverse(X0)))),
inference(paramodulation,[status(thm)],[f42746,f1267]) ).
fof(f42985,plain,
! [X0] : multiply(positive_part(X0),negative_part(inverse(X0))) = identity,
inference(forward_demodulation,[status(thm)],[f33466,f42984]) ).
fof(f43250,plain,
! [X0] : multiply(positive_part(X0),negative_part(inverse(inverse(X0)))) = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f42985,f960]) ).
fof(f43251,plain,
! [X0] : multiply(positive_part(X0),negative_part(X0)) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f26,f43250]) ).
fof(f43252,plain,
! [X0] : multiply(positive_part(X0),negative_part(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f256,f43251]) ).
fof(f43370,plain,
a != a,
inference(backward_demodulation,[status(thm)],[f43252,f42]) ).
fof(f43371,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f43370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : GRP114-1 : TPTP v8.1.2. Released v1.2.0.
% 0.02/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.34 % Computer : n023.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8042.1875MB
% 0.09/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Tue Apr 30 00:44:10 EDT 2024
% 0.09/0.34 % CPUTime :
% 0.09/0.34 % Drodi V3.6.0
% 35.53/4.87 % Refutation found
% 35.53/4.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 35.53/4.87 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 37.10/5.08 % Elapsed time: 4.714337 seconds
% 37.10/5.08 % CPU time: 36.705838 seconds
% 37.10/5.08 % Total memory used: 521.349 MB
% 37.10/5.08 % Net memory used: 512.816 MB
%------------------------------------------------------------------------------