TSTP Solution File: GRP183-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP183-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 144.31s 18.64s
% Output : CNFRefutation 147.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 15
% Syntax : Number of formulae : 132 ( 132 unt; 0 def)
% Number of atoms : 132 ( 131 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 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 : 231 (; 231 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y] : greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : least_upper_bound(X,Y) = least_upper_bound(Y,X),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] : greatest_lower_bound(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] : least_upper_bound(X,greatest_lower_bound(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] : greatest_lower_bound(X,least_upper_bound(X,Y)) = X,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f19,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f20,plain,
! [X0,X1] : greatest_lower_bound(X0,X1) = greatest_lower_bound(X1,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [X0,X1] : least_upper_bound(X0,X1) = least_upper_bound(X1,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f22,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(f23,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(f25,plain,
! [X0] : greatest_lower_bound(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f26,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f27,plain,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f28,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(f29,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(f30,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(f31,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(f32,plain,
greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(a,identity))) != identity,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f33,plain,
greatest_lower_bound(least_upper_bound(a,identity),inverse(greatest_lower_bound(identity,a))) != identity,
inference(paramodulation,[status(thm)],[f20,f32]) ).
fof(f39,plain,
! [X0,X1] : least_upper_bound(X0,greatest_lower_bound(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f20,f26]) ).
fof(f43,plain,
! [X0,X1] : greatest_lower_bound(X0,least_upper_bound(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f21,f27]) ).
fof(f55,plain,
! [X0,X1] : greatest_lower_bound(greatest_lower_bound(X0,X1),X0) = greatest_lower_bound(X0,X1),
inference(paramodulation,[status(thm)],[f26,f43]) ).
fof(f56,plain,
! [X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(X0,X1)) = greatest_lower_bound(X0,X1),
inference(forward_demodulation,[status(thm)],[f20,f55]) ).
fof(f60,plain,
! [X0,X1] : least_upper_bound(least_upper_bound(X0,X1),X1) = least_upper_bound(X0,X1),
inference(paramodulation,[status(thm)],[f43,f39]) ).
fof(f61,plain,
! [X0,X1] : least_upper_bound(X0,least_upper_bound(X1,X0)) = least_upper_bound(X1,X0),
inference(forward_demodulation,[status(thm)],[f21,f60]) ).
fof(f97,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)],[f20,f22]) ).
fof(f128,plain,
! [X0,X1,X2] : least_upper_bound(X0,greatest_lower_bound(X1,greatest_lower_bound(X2,X0))) = X0,
inference(paramodulation,[status(thm)],[f22,f39]) ).
fof(f137,plain,
! [X0,X1,X2] : least_upper_bound(X0,least_upper_bound(X1,greatest_lower_bound(X2,least_upper_bound(X0,X1)))) = least_upper_bound(X0,X1),
inference(paramodulation,[status(thm)],[f39,f23]) ).
fof(f196,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f18,f19]) ).
fof(f197,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f17,f196]) ).
fof(f199,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))),
inference(paramodulation,[status(thm)],[f19,f197]) ).
fof(f200,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(paramodulation,[status(thm)],[f197,f197]) ).
fof(f201,plain,
! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
inference(paramodulation,[status(thm)],[f18,f197]) ).
fof(f225,plain,
! [X0] : X0 = multiply(X0,identity),
inference(backward_demodulation,[status(thm)],[f200,f201]) ).
fof(f238,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(paramodulation,[status(thm)],[f200,f225]) ).
fof(f239,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f225,f238]) ).
fof(f248,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f239,f197]) ).
fof(f249,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(paramodulation,[status(thm)],[f239,f18]) ).
fof(f263,plain,
! [X0,X1] : multiply(X0,least_upper_bound(identity,X1)) = least_upper_bound(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f225,f28]) ).
fof(f268,plain,
! [X0,X1,X2] : multiply(inverse(X0),least_upper_bound(X1,multiply(X0,X2))) = least_upper_bound(multiply(inverse(X0),X1),X2),
inference(paramodulation,[status(thm)],[f197,f28]) ).
fof(f302,plain,
! [X0,X1] : multiply(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X0,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f225,f29]) ).
fof(f332,plain,
! [X0,X1,X2] : multiply(least_upper_bound(X0,X1),X2) = least_upper_bound(multiply(X1,X2),multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f21,f30]) ).
fof(f333,plain,
! [X0,X1,X2] : multiply(least_upper_bound(X0,X1),X2) = multiply(least_upper_bound(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f30,f332]) ).
fof(f339,plain,
! [X0,X1] : multiply(least_upper_bound(inverse(X0),X1),X0) = least_upper_bound(identity,multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f18,f30]) ).
fof(f340,plain,
! [X0,X1] : multiply(least_upper_bound(identity,X0),X1) = least_upper_bound(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f17,f30]) ).
fof(f368,plain,
greatest_lower_bound(least_upper_bound(identity,a),inverse(greatest_lower_bound(identity,a))) != identity,
inference(forward_demodulation,[status(thm)],[f21,f33]) ).
fof(f380,plain,
! [X0,X1] : multiply(greatest_lower_bound(identity,X0),X1) = greatest_lower_bound(X1,multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f17,f31]) ).
fof(f667,plain,
! [X0,X1,X2,X3] : multiply(greatest_lower_bound(least_upper_bound(X0,X1),X2),X3) = greatest_lower_bound(multiply(least_upper_bound(X1,X0),X3),multiply(X2,X3)),
inference(paramodulation,[status(thm)],[f333,f31]) ).
fof(f668,plain,
! [X0,X1,X2,X3] : multiply(greatest_lower_bound(least_upper_bound(X0,X1),X2),X3) = multiply(greatest_lower_bound(least_upper_bound(X1,X0),X2),X3),
inference(forward_demodulation,[status(thm)],[f31,f667]) ).
fof(f792,plain,
! [X0] : multiply(inverse(X0),least_upper_bound(identity,X0)) = least_upper_bound(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f18,f263]) ).
fof(f793,plain,
! [X0] : multiply(inverse(X0),least_upper_bound(identity,X0)) = least_upper_bound(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f21,f792]) ).
fof(f831,plain,
! [X0] : multiply(inverse(X0),greatest_lower_bound(identity,X0)) = greatest_lower_bound(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f18,f302]) ).
fof(f832,plain,
! [X0] : multiply(inverse(X0),greatest_lower_bound(identity,X0)) = greatest_lower_bound(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f20,f831]) ).
fof(f901,plain,
! [X0,X1] : greatest_lower_bound(X0,multiply(least_upper_bound(identity,X1),X0)) = X0,
inference(paramodulation,[status(thm)],[f340,f27]) ).
fof(f910,plain,
! [X0] : greatest_lower_bound(inverse(least_upper_bound(identity,X0)),identity) = inverse(least_upper_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f249,f901]) ).
fof(f911,plain,
! [X0] : greatest_lower_bound(identity,inverse(least_upper_bound(identity,X0))) = inverse(least_upper_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f20,f910]) ).
fof(f971,plain,
! [X0] : multiply(greatest_lower_bound(identity,X0),inverse(X0)) = greatest_lower_bound(inverse(X0),identity),
inference(paramodulation,[status(thm)],[f249,f380]) ).
fof(f972,plain,
! [X0] : multiply(greatest_lower_bound(identity,X0),inverse(X0)) = greatest_lower_bound(identity,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f20,f971]) ).
fof(f1394,plain,
! [X0,X1] : X0 = multiply(inverse(least_upper_bound(inverse(X0),X1)),least_upper_bound(identity,multiply(X1,X0))),
inference(paramodulation,[status(thm)],[f339,f197]) ).
fof(f1562,plain,
! [X0] : multiply(X0,least_upper_bound(identity,inverse(X0))) = least_upper_bound(identity,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f239,f793]) ).
fof(f1563,plain,
! [X0] : multiply(X0,least_upper_bound(identity,inverse(X0))) = least_upper_bound(identity,X0),
inference(forward_demodulation,[status(thm)],[f239,f1562]) ).
fof(f1582,plain,
! [X0] : multiply(inverse(greatest_lower_bound(identity,X0)),identity) = least_upper_bound(identity,inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f26,f793]) ).
fof(f1583,plain,
! [X0] : inverse(greatest_lower_bound(identity,X0)) = least_upper_bound(identity,inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f225,f1582]) ).
fof(f1699,plain,
! [X0] : multiply(X0,greatest_lower_bound(identity,inverse(X0))) = greatest_lower_bound(identity,inverse(inverse(X0))),
inference(paramodulation,[status(thm)],[f239,f832]) ).
fof(f1700,plain,
! [X0] : multiply(X0,greatest_lower_bound(identity,inverse(X0))) = greatest_lower_bound(identity,X0),
inference(forward_demodulation,[status(thm)],[f239,f1699]) ).
fof(f1719,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)],[f56,f832]) ).
fof(f1720,plain,
! [X0] : identity = greatest_lower_bound(identity,inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f18,f1719]) ).
fof(f1906,plain,
! [X0,X1] : greatest_lower_bound(identity,greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),X1)) = greatest_lower_bound(identity,X1),
inference(paramodulation,[status(thm)],[f1720,f22]) ).
fof(f2999,plain,
! [X0,X1] : greatest_lower_bound(identity,greatest_lower_bound(X0,inverse(greatest_lower_bound(identity,X1)))) = greatest_lower_bound(identity,X0),
inference(paramodulation,[status(thm)],[f20,f1906]) ).
fof(f4112,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(greatest_lower_bound(X1,inverse(greatest_lower_bound(identity,X2))),greatest_lower_bound(X0,identity)),
inference(paramodulation,[status(thm)],[f2999,f97]) ).
fof(f4113,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X1,greatest_lower_bound(inverse(greatest_lower_bound(identity,X2)),greatest_lower_bound(X0,identity))),
inference(forward_demodulation,[status(thm)],[f22,f4112]) ).
fof(f4114,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X1,greatest_lower_bound(identity,greatest_lower_bound(inverse(greatest_lower_bound(identity,X2)),X0))),
inference(forward_demodulation,[status(thm)],[f97,f4113]) ).
fof(f4115,plain,
! [X0,X1] : greatest_lower_bound(X0,greatest_lower_bound(identity,X1)) = greatest_lower_bound(X1,greatest_lower_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f1906,f4114]) ).
fof(f4345,plain,
! [X0,X1] : least_upper_bound(greatest_lower_bound(identity,X0),greatest_lower_bound(X0,greatest_lower_bound(identity,X1))) = greatest_lower_bound(identity,X0),
inference(paramodulation,[status(thm)],[f4115,f39]) ).
fof(f5409,plain,
! [X0,X1] : least_upper_bound(greatest_lower_bound(identity,X0),greatest_lower_bound(X0,inverse(least_upper_bound(identity,X1)))) = greatest_lower_bound(identity,X0),
inference(paramodulation,[status(thm)],[f911,f4345]) ).
fof(f5476,plain,
! [X0,X1] : least_upper_bound(inverse(greatest_lower_bound(identity,X0)),greatest_lower_bound(identity,X1)) = inverse(greatest_lower_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f2999,f128]) ).
fof(f10557,plain,
! [X0,X1] : least_upper_bound(inverse(greatest_lower_bound(X0,greatest_lower_bound(identity,identity))),greatest_lower_bound(identity,X1)) = inverse(greatest_lower_bound(identity,greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f4115,f5476]) ).
fof(f10558,plain,
! [X0,X1] : least_upper_bound(inverse(greatest_lower_bound(X0,identity)),greatest_lower_bound(identity,X1)) = inverse(greatest_lower_bound(identity,greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f25,f10557]) ).
fof(f10559,plain,
! [X0,X1] : least_upper_bound(inverse(greatest_lower_bound(X0,identity)),greatest_lower_bound(identity,X1)) = inverse(greatest_lower_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f56,f10558]) ).
fof(f15076,plain,
! [X0,X1] : least_upper_bound(X0,inverse(greatest_lower_bound(identity,X1))) = least_upper_bound(X0,inverse(greatest_lower_bound(X1,identity))),
inference(paramodulation,[status(thm)],[f10559,f137]) ).
fof(f16259,plain,
! [X0,X1] : least_upper_bound(inverse(greatest_lower_bound(identity,X0)),X1) = least_upper_bound(X1,inverse(greatest_lower_bound(X0,identity))),
inference(paramodulation,[status(thm)],[f21,f15076]) ).
fof(f17414,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),multiply(X1,identity)),
inference(paramodulation,[status(thm)],[f249,f199]) ).
fof(f17415,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(forward_demodulation,[status(thm)],[f225,f17414]) ).
fof(f18160,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f17415,f17415]) ).
fof(f18161,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[status(thm)],[f239,f18160]) ).
fof(f18174,plain,
! [X0] : inverse(greatest_lower_bound(identity,inverse(X0))) = multiply(inverse(greatest_lower_bound(identity,X0)),X0),
inference(paramodulation,[status(thm)],[f1700,f17415]) ).
fof(f18179,plain,
! [X0] : inverse(least_upper_bound(identity,inverse(X0))) = multiply(inverse(least_upper_bound(identity,X0)),X0),
inference(paramodulation,[status(thm)],[f1563,f17415]) ).
fof(f18379,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f18161,f248]) ).
fof(f19003,plain,
! [X0] : inverse(greatest_lower_bound(identity,inverse(X0))) = multiply(X0,inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f972,f18379]) ).
fof(f19348,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)],[f18174,f380]) ).
fof(f19349,plain,
! [X0] : multiply(identity,X0) = greatest_lower_bound(X0,inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f1720,f19348]) ).
fof(f19350,plain,
! [X0] : X0 = greatest_lower_bound(X0,inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f17,f19349]) ).
fof(f19354,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)],[f18174,f302]) ).
fof(f19355,plain,
! [X0] : identity = greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),inverse(greatest_lower_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f18,f19354]) ).
fof(f19416,plain,
! [X0] : inverse(X0) = greatest_lower_bound(inverse(X0),inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f239,f19350]) ).
fof(f19818,plain,
! [X0] : least_upper_bound(inverse(greatest_lower_bound(identity,X0)),inverse(X0)) = inverse(greatest_lower_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f19416,f39]) ).
fof(f19819,plain,
! [X0] : least_upper_bound(inverse(X0),inverse(greatest_lower_bound(X0,identity))) = inverse(greatest_lower_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f16259,f19818]) ).
fof(f20761,plain,
! [X0] : multiply(greatest_lower_bound(identity,inverse(least_upper_bound(identity,X0))),X0) = greatest_lower_bound(X0,inverse(least_upper_bound(identity,inverse(X0)))),
inference(paramodulation,[status(thm)],[f18179,f380]) ).
fof(f20762,plain,
! [X0] : multiply(inverse(least_upper_bound(identity,X0)),X0) = greatest_lower_bound(X0,inverse(least_upper_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f911,f20761]) ).
fof(f20763,plain,
! [X0] : inverse(least_upper_bound(identity,inverse(X0))) = greatest_lower_bound(X0,inverse(least_upper_bound(identity,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f18179,f20762]) ).
fof(f21688,plain,
! [X0] : least_upper_bound(inverse(X0),inverse(greatest_lower_bound(identity,X0))) = inverse(greatest_lower_bound(identity,X0)),
inference(paramodulation,[status(thm)],[f15076,f19819]) ).
fof(f62443,plain,
! [X0,X1,X2] : greatest_lower_bound(least_upper_bound(X0,X1),X2) = multiply(greatest_lower_bound(least_upper_bound(X1,X0),X2),identity),
inference(paramodulation,[status(thm)],[f225,f668]) ).
fof(f62444,plain,
! [X0,X1,X2] : greatest_lower_bound(least_upper_bound(X0,X1),X2) = greatest_lower_bound(least_upper_bound(X1,X0),X2),
inference(forward_demodulation,[status(thm)],[f225,f62443]) ).
fof(f63715,plain,
! [X0,X1,X2] : greatest_lower_bound(X0,least_upper_bound(X1,X2)) = greatest_lower_bound(least_upper_bound(X2,X1),X0),
inference(paramodulation,[status(thm)],[f20,f62444]) ).
fof(f98342,plain,
! [X0] : least_upper_bound(greatest_lower_bound(identity,X0),inverse(least_upper_bound(identity,inverse(X0)))) = greatest_lower_bound(identity,X0),
inference(paramodulation,[status(thm)],[f20763,f5409]) ).
fof(f196640,plain,
! [X0,X1] : X0 = multiply(inverse(least_upper_bound(X1,inverse(X0))),least_upper_bound(identity,multiply(least_upper_bound(X1,inverse(X0)),X0))),
inference(paramodulation,[status(thm)],[f61,f1394]) ).
fof(f196641,plain,
! [X0,X1] : X0 = least_upper_bound(multiply(inverse(least_upper_bound(X1,inverse(X0))),identity),X0),
inference(forward_demodulation,[status(thm)],[f268,f196640]) ).
fof(f196642,plain,
! [X0,X1] : X0 = least_upper_bound(X0,multiply(inverse(least_upper_bound(X1,inverse(X0))),identity)),
inference(forward_demodulation,[status(thm)],[f21,f196641]) ).
fof(f196643,plain,
! [X0,X1] : X0 = least_upper_bound(X0,inverse(least_upper_bound(X1,inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f225,f196642]) ).
fof(f197120,plain,
! [X0] : least_upper_bound(identity,inverse(X0)) = least_upper_bound(least_upper_bound(identity,inverse(X0)),inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f98342,f196643]) ).
fof(f197121,plain,
! [X0] : least_upper_bound(identity,inverse(X0)) = least_upper_bound(identity,least_upper_bound(inverse(X0),inverse(greatest_lower_bound(identity,X0)))),
inference(forward_demodulation,[status(thm)],[f23,f197120]) ).
fof(f197122,plain,
! [X0] : least_upper_bound(identity,inverse(X0)) = least_upper_bound(identity,inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f21688,f197121]) ).
fof(f197123,plain,
! [X0] : least_upper_bound(identity,inverse(X0)) = inverse(greatest_lower_bound(identity,X0)),
inference(forward_demodulation,[status(thm)],[f1583,f197122]) ).
fof(f198751,plain,
! [X0] : multiply(X0,inverse(greatest_lower_bound(identity,X0))) = least_upper_bound(identity,X0),
inference(backward_demodulation,[status(thm)],[f197123,f1563]) ).
fof(f198752,plain,
! [X0] : inverse(greatest_lower_bound(identity,inverse(X0))) = least_upper_bound(identity,X0),
inference(forward_demodulation,[status(thm)],[f19003,f198751]) ).
fof(f201627,plain,
! [X0] : identity = greatest_lower_bound(inverse(greatest_lower_bound(identity,X0)),least_upper_bound(identity,X0)),
inference(backward_demodulation,[status(thm)],[f198752,f19355]) ).
fof(f201628,plain,
! [X0] : identity = greatest_lower_bound(least_upper_bound(X0,identity),inverse(greatest_lower_bound(identity,X0))),
inference(forward_demodulation,[status(thm)],[f63715,f201627]) ).
fof(f210839,plain,
! [X0] : identity = greatest_lower_bound(least_upper_bound(identity,X0),inverse(greatest_lower_bound(identity,X0))),
inference(paramodulation,[status(thm)],[f62444,f201628]) ).
fof(f214501,plain,
identity != identity,
inference(backward_demodulation,[status(thm)],[f210839,f368]) ).
fof(f214502,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f214501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP183-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue May 30 11:34:27 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.5.1
% 144.31/18.64 % Refutation found
% 144.31/18.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 144.31/18.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 147.59/19.13 % Elapsed time: 18.791697 seconds
% 147.96/19.19 % CPU time: 146.623809 seconds
% 147.96/19.19 % Memory used: 1.228 GB
%------------------------------------------------------------------------------