%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : BOO001-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n006.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 29 16:35:49 EDT 2024

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : Proof 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : BOO001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 26 00:32:39 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.57  % SZS status Unsatisfiable for /export/starexec/sandbox2/tmp/tmp.03J5A6NC8l/cvc5---1.0.5_12379.smt2
% 0.20/0.57  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.03J5A6NC8l/cvc5---1.0.5_12379.smt2
% 0.46/0.67  (assume a0 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))))
% 0.46/0.67  (assume a1 (forall ((Y $$unsorted) (X $$unsorted)) (= (tptp.multiply Y X X) X)))
% 0.46/0.67  (assume a2 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X X Y) X)))
% 0.46/0.67  (assume a3 (forall ((Y $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.inverse Y) Y X) X)))
% 0.46/0.67  (assume a4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y (tptp.inverse Y)) X)))
% 0.46/0.67  (assume a5 (not (= (tptp.inverse (tptp.inverse tptp.a)) tptp.a)))
% 0.46/0.67  (step t1 (cl (not (= (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))))) (not (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) (or (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) :rule equiv_pos2)
% 0.46/0.67  (step t2 (cl (= (= (= (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) true) (= (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule equiv_simplify)
% 0.46/0.67  (step t3 (cl (not (= (= (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) true)) (= (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule equiv1 :premises (t2))
% 0.46/0.67  (step t4 (cl (= (= (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule all_simplify)
% 0.46/0.67  (step t5 (cl (= (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule refl)
% 0.46/0.67  (step t6 (cl (= (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule all_simplify)
% 0.46/0.67  (step t7 (cl (= (= (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule cong :premises (t5 t6))
% 0.46/0.67  (step t8 (cl (= (= (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) true)) :rule all_simplify)
% 0.46/0.67  (step t9 (cl (= (= (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) true)) :rule trans :premises (t7 t8))
% 0.46/0.67  (step t10 (cl (= (= (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) true)) :rule trans :premises (t4 t9))
% 0.46/0.67  (step t11 (cl (= (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule resolution :premises (t3 t10))
% 0.46/0.67  (step t12 (cl (= (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))))) :rule refl)
% 0.46/0.67  (step t13 (cl (= (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))))) :rule refl)
% 0.46/0.67  (step t14 (cl (= (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))))) :rule refl)
% 0.46/0.67  (step t15 (cl (= (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))) :rule refl)
% 0.46/0.67  (step t16 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule refl)
% 0.46/0.67  (step t17 (cl (= (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))) :rule refl)
% 0.46/0.67  (step t18 (cl (= (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule refl)
% 0.46/0.67  (step t19 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule refl)
% 0.46/0.67  (step t20 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule refl)
% 0.46/0.67  (step t21 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule refl)
% 0.46/0.67  (step t22 (cl (= (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))) :rule refl)
% 0.46/0.67  (step t23 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule refl)
% 0.46/0.67  (step t24 (cl (= (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))))) :rule refl)
% 0.46/0.67  (step t25 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))))) :rule refl)
% 0.46/0.67  (step t26 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))))) :rule refl)
% 0.46/0.67  (step t27 (cl (= (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))))) :rule refl)
% 0.46/0.67  (step t28 (cl (= (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))))) :rule refl)
% 0.46/0.67  (step t29 (cl (= (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))))) :rule refl)
% 0.46/0.67  (step t30 (cl (= (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))))) :rule refl)
% 0.46/0.67  (step t31 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))))) :rule refl)
% 0.46/0.67  (step t32 (cl (= (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))))) :rule refl)
% 0.46/0.67  (step t33 (cl (= (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) :rule refl)
% 0.46/0.67  (step t34 (cl (= (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))))) :rule cong :premises (t11 t12 t13 t14 t15 t16 t17 t18 t19 t20 t21 t22 t23 t24 t25 t26 t27 t28 t29 t30 t31 t32 t33))
% 0.46/0.67  (step t35 (cl (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) :rule and_neg)
% 0.46/0.67  (step t36 (cl (=> (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) :rule implies_neg1)
% 0.46/0.67  (anchor :step t37)
% 0.46/0.67  (assume t37.a0 (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.67  (assume t37.a1 (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)))
% 0.46/0.67  (assume t37.a2 (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))))
% 0.46/0.67  (assume t37.a3 (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))))
% 0.46/0.67  (assume t37.a4 (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.67  (assume t37.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.67  (assume t37.a6 (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.67  (assume t37.a7 (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.67  (assume t37.a8 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.67  (assume t37.a9 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))
% 0.46/0.67  (assume t37.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.67  (assume t37.a11 (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.67  (assume t37.a12 (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.67  (assume t37.a13 (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.67  (assume t37.a14 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))))
% 0.46/0.67  (assume t37.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))
% 0.46/0.67  (assume t37.a16 (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))
% 0.46/0.67  (assume t37.a17 (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))))
% 0.46/0.67  (assume t37.a18 (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.67  (assume t37.a19 (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))
% 0.46/0.67  (assume t37.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))))
% 0.46/0.67  (assume t37.a21 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))
% 0.46/0.67  (step t37.t1 (cl (=> (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule implies_neg1)
% 0.46/0.67  (anchor :step t37.t2)
% 0.46/0.67  (assume t37.t2.a0 (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))
% 0.46/0.67  (assume t37.t2.a1 (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.67  (assume t37.t2.a2 (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))))
% 0.46/0.67  (assume t37.t2.a3 (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))
% 0.46/0.67  (assume t37.t2.a4 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))
% 0.46/0.67  (assume t37.t2.a5 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))))
% 0.46/0.67  (assume t37.t2.a6 (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.67  (assume t37.t2.a7 (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.67  (assume t37.t2.a8 (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.67  (assume t37.t2.a9 (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)))
% 0.46/0.67  (assume t37.t2.a10 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))
% 0.46/0.67  (assume t37.t2.a11 (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))))
% 0.46/0.67  (assume t37.t2.a12 (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.67  (assume t37.t2.a13 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.67  (assume t37.t2.a14 (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.67  (assume t37.t2.a15 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))))
% 0.46/0.67  (assume t37.t2.a16 (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.67  (assume t37.t2.a17 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))
% 0.46/0.67  (assume t37.t2.a18 (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))))
% 0.46/0.67  (assume t37.t2.a19 (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.67  (assume t37.t2.a20 (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.67  (assume t37.t2.a21 (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.67  (step t37.t2.t1 (cl (= (= (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)) false) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) :rule equiv_simplify)
% 0.46/0.67  (step t37.t2.t2 (cl (not (= (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)) false)) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule equiv1 :premises (t37.t2.t1))
% 0.46/0.67  (step t37.t2.t3 (cl (= tptp.a tptp.a)) :rule refl)
% 0.46/0.67  (step t37.t2.t4 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) (tptp.inverse (tptp.inverse tptp.a)))) :rule symm :premises (t37.t2.a0))
% 0.46/0.67  (step t37.t2.t5 (cl (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a)) :rule symm :premises (t37.t2.a16))
% 0.46/0.67  (step t37.t2.t6 (cl (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule symm :premises (t37.t2.t5))
% 0.46/0.67  (step t37.t2.t7 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule symm :premises (t37.t2.a1))
% 0.46/0.67  (step t37.t2.t8 (cl (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule symm :premises (t37.t2.t7))
% 0.46/0.67  (step t37.t2.t9 (cl (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse (tptp.inverse tptp.a)))) :rule refl)
% 0.46/0.67  (step t37.t2.t10 (cl (= (tptp.inverse tptp.a) (tptp.inverse tptp.a))) :rule refl)
% 0.46/0.67  (step t37.t2.t11 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) :rule cong :premises (t37.t2.t9 t37.t2.t10 t37.t2.t5))
% 0.46/0.67  (step t37.t2.t12 (cl (= tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) :rule trans :premises (t37.t2.t6 t37.t2.t8 t37.t2.t11))
% 0.46/0.67  (step t37.t2.t13 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) :rule cong :premises (t37.t2.t4 t37.t2.t3 t37.t2.t12))
% 0.46/0.67  (step t37.t2.t14 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule symm :premises (t37.t2.a17))
% 0.46/0.67  (step t37.t2.t15 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule cong :premises (t37.t2.a14 t37.t2.t3 t37.t2.a14))
% 0.46/0.67  (step t37.t2.t16 (cl (= (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse (tptp.inverse tptp.a)))) :rule symm :premises (t37.t2.a14))
% 0.46/0.67  (step t37.t2.t17 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse (tptp.inverse tptp.a)))) :rule symm :premises (t37.t2.a12))
% 0.46/0.67  (step t37.t2.t18 (cl (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule symm :premises (t37.t2.t17))
% 0.46/0.67  (step t37.t2.t19 (cl (= (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule trans :premises (t37.t2.t16 t37.t2.t18))
% 0.46/0.67  (step t37.t2.t20 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule cong :premises (t37.t2.t19 t37.t2.t3 t37.t2.t19))
% 0.46/0.67  (step t37.t2.t21 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule symm :premises (t37.t2.a7))
% 0.46/0.67  (step t37.t2.t22 (cl (= (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))))) :rule symm :premises (t37.t2.a5))
% 0.46/0.67  (step t37.t2.t23 (cl (= (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)) (tptp.inverse tptp.a))) :rule symm :premises (t37.t2.a18))
% 0.46/0.67  (step t37.t2.t24 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) :rule cong :premises (t37.t2.t16 t37.t2.t3 t37.t2.t23))
% 0.46/0.67  (step t37.t2.t25 (cl (= (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (tptp.inverse (tptp.inverse tptp.a)))) :rule trans :premises (t37.t2.t22 t37.t2.t24 t37.t2.t4))
% 0.46/0.67  (step t37.t2.t26 (cl (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule symm :premises (t37.t2.t25))
% 0.46/0.67  (step t37.t2.t27 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))))) :rule symm :premises (t37.t2.t24))
% 0.46/0.67  (step t37.t2.t28 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule trans :premises (t37.t2.t27 t37.t2.a5))
% 0.46/0.67  (step t37.t2.t29 (cl (= (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) :rule symm :premises (t37.t2.t28))
% 0.46/0.67  (step t37.t2.t30 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))))) :rule cong :premises (t37.t2.t9 t37.t2.t3 t37.t2.a11))
% 0.46/0.67  (step t37.t2.t31 (cl (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))))) :rule trans :premises (t37.t2.t26 t37.t2.t29 t37.t2.t30))
% 0.46/0.67  (step t37.t2.t32 (cl (= (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule refl)
% 0.46/0.67  (step t37.t2.t33 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule cong :premises (t37.t2.t16 t37.t2.t3 t37.t2.t32))
% 0.46/0.67  (step t37.t2.t34 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule symm :premises (t37.t2.a20))
% 0.46/0.67  (step t37.t2.t35 (cl (= (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule symm :premises (t37.t2.a19))
% 0.46/0.67  (step t37.t2.t36 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule symm :premises (t37.t2.t15))
% 0.46/0.67  (step t37.t2.t37 (cl (= (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule trans :premises (t37.t2.t35 t37.t2.t36))
% 0.46/0.67  (step t37.t2.t38 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule symm :premises (t37.t2.t37))
% 0.46/0.67  (step t37.t2.t39 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule cong :premises (t37.t2.t28 t37.t2.t3 t37.t2.t38))
% 0.46/0.67  (step t37.t2.t40 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule cong :premises (t37.t2.t25 t37.t2.t3 t37.t2.t37))
% 0.46/0.67  (step t37.t2.t41 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule trans :premises (t37.t2.t15 t37.t2.t20 t37.t2.t21))
% 0.46/0.67  (step t37.t2.t42 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule cong :premises (t37.t2.t9 t37.t2.t3 t37.t2.t41))
% 0.46/0.67  (step t37.t2.t43 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule trans :premises (t37.t2.t15 t37.t2.t33 t37.t2.t34 t37.t2.t39 t37.t2.t40 t37.t2.t42))
% 0.46/0.67  (step t37.t2.t44 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule cong :premises (t37.t2.t31 t37.t2.t10 t37.t2.t43))
% 0.46/0.67  (step t37.t2.t45 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule symm :premises (t37.t2.a4))
% 0.46/0.67  (step t37.t2.t46 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule symm :premises (t37.t2.t45))
% 0.46/0.67  (step t37.t2.t47 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule symm :premises (t37.t2.a10))
% 0.46/0.67  (step t37.t2.t48 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule symm :premises (t37.t2.t47))
% 0.46/0.67  (step t37.t2.t49 (cl (= (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule symm :premises (t37.t2.a13))
% 0.46/0.67  (step t37.t2.t50 (cl (= (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a))) :rule symm :premises (t37.t2.a8))
% 0.46/0.67  (step t37.t2.t51 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) :rule cong :premises (t37.t2.t50 t37.t2.t3 t37.t2.t50))
% 0.46/0.67  (step t37.t2.t52 (cl (= (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.inverse tptp.a))) :rule trans :premises (t37.t2.t49 t37.t2.t51 t37.t2.t23))
% 0.46/0.67  (step t37.t2.t53 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule cong :premises (t37.t2.t9 t37.t2.t10 t37.t2.t52))
% 0.46/0.67  (step t37.t2.t54 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a))) :rule symm :premises (t37.t2.a11))
% 0.46/0.67  (step t37.t2.t55 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.inverse tptp.a))) :rule trans :premises (t37.t2.t48 t37.t2.t53 t37.t2.t54))
% 0.46/0.67  (step t37.t2.t56 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) :rule cong :premises (t37.t2.t9 t37.t2.t3 t37.t2.t55))
% 0.46/0.67  (step t37.t2.t57 (cl (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))))) :rule cong :premises (t37.t2.t3 t37.t2.t10 t37.t2.a11))
% 0.46/0.67  (step t37.t2.t58 (cl (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))))) :rule trans :premises (t37.t2.a2 t37.t2.t57))
% 0.46/0.67  (step t37.t2.t59 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))))) :rule cong :premises (t37.t2.t9 t37.t2.t3 t37.t2.t58))
% 0.46/0.67  (step t37.t2.t60 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))))) :rule trans :premises (t37.t2.t15 t37.t2.t20 t37.t2.t21 t37.t2.t44 t37.t2.t46 t37.t2.t56 t37.t2.t59))
% 0.46/0.67  (step t37.t2.t61 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) :rule cong :premises (t37.t2.a0 t37.t2.t3 t37.t2.t3))
% 0.46/0.67  (step t37.t2.t62 (cl (= (tptp.multiply tptp.a tptp.a tptp.a) tptp.a)) :rule symm :premises (t37.t2.a9))
% 0.46/0.67  (step t37.t2.t63 (cl (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) :rule symm :premises (t37.t2.t62))
% 0.46/0.67  (step t37.t2.t64 (cl (= (tptp.multiply tptp.a tptp.a tptp.a) (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule cong :premises (t37.t2.t6 t37.t2.t3 t37.t2.t6))
% 0.46/0.67  (step t37.t2.t65 (cl (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule symm :premises (t37.t2.a21))
% 0.46/0.67  (step t37.t2.t66 (cl (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule symm :premises (t37.t2.t65))
% 0.46/0.67  (step t37.t2.t67 (cl (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule cong :premises (t37.t2.t3 t37.t2.t10 t37.t2.t41))
% 0.46/0.67  (step t37.t2.t68 (cl (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule trans :premises (t37.t2.t63 t37.t2.t64 t37.t2.t66 t37.t2.t67))
% 0.46/0.67  (step t37.t2.t69 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule cong :premises (t37.t2.t4 t37.t2.t3 t37.t2.t68))
% 0.46/0.67  (step t37.t2.t70 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule trans :premises (t37.t2.t61 t37.t2.t69))
% 0.46/0.67  (step t37.t2.t71 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule cong :premises (t37.t2.t60 t37.t2.t10 t37.t2.t70))
% 0.46/0.67  (step t37.t2.t72 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule symm :premises (t37.t2.a15))
% 0.46/0.67  (step t37.t2.t73 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule symm :premises (t37.t2.t72))
% 0.46/0.67  (step t37.t2.t74 (cl (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule symm :premises (t37.t2.a3))
% 0.46/0.67  (step t37.t2.t75 (cl (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule symm :premises (t37.t2.t74))
% 0.46/0.67  (step t37.t2.t76 (cl (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule cong :premises (t37.t2.t3 t37.t2.t10 t37.t2.t55))
% 0.46/0.67  (step t37.t2.t77 (cl (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a))) :rule symm :premises (t37.t2.a2))
% 0.46/0.67  (step t37.t2.t78 (cl (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.inverse tptp.a))) :rule trans :premises (t37.t2.t75 t37.t2.t76 t37.t2.t77))
% 0.46/0.67  (step t37.t2.t79 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) :rule cong :premises (t37.t2.t9 t37.t2.t3 t37.t2.t78))
% 0.46/0.67  (step t37.t2.t80 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) :rule trans :premises (t37.t2.t13 t37.t2.t14 t37.t2.t71 t37.t2.t73 t37.t2.t79 t37.t2.t4))
% 0.46/0.67  (step t37.t2.t81 (cl (= (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)) (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule cong :premises (t37.t2.t3 t37.t2.t80))
% 0.46/0.67  (step t37.t2.t82 (cl (= (= (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) false) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule equiv_simplify)
% 0.46/0.67  (step t37.t2.t83 (cl (= (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) false) (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule equiv2 :premises (t37.t2.t82))
% 0.46/0.67  (step t37.t2.t84 (cl (not (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) :rule not_not)
% 0.46/0.67  (step t37.t2.t85 (cl (= (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) false) (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) :rule resolution :premises (t37.t2.t83 t37.t2.t84))
% 0.46/0.67  (step t37.t2.t86 (cl (= (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) false)) :rule resolution :premises (t37.t2.t85 t37.t2.a6))
% 0.46/0.67  (step t37.t2.t87 (cl (= (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)) false)) :rule trans :premises (t37.t2.t81 t37.t2.t86))
% 0.46/0.67  (step t37.t2.t88 (cl (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule resolution :premises (t37.t2.t2 t37.t2.t87))
% 0.46/0.67  (step t37.t2 (cl (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule subproof :discharge (t37.t2.a0 t37.t2.a1 t37.t2.a2 t37.t2.a3 t37.t2.a4 t37.t2.a5 t37.t2.a6 t37.t2.a7 t37.t2.a8 t37.t2.a9 t37.t2.a10 t37.t2.a11 t37.t2.a12 t37.t2.a13 t37.t2.a14 t37.t2.a15 t37.t2.a16 t37.t2.a17 t37.t2.a18 t37.t2.a19 t37.t2.a20 t37.t2.a21))
% 0.46/0.67  (step t37.t3 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) :rule and_pos)
% 0.46/0.67  (step t37.t4 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule and_pos)
% 0.46/0.67  (step t37.t5 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule and_pos)
% 0.46/0.67  (step t37.t6 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule and_pos)
% 0.46/0.67  (step t37.t7 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule and_pos)
% 0.46/0.67  (step t37.t8 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule and_pos)
% 0.46/0.67  (step t37.t9 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule and_pos)
% 0.46/0.67  (step t37.t10 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule and_pos)
% 0.46/0.67  (step t37.t11 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule and_pos)
% 0.46/0.67  (step t37.t12 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) :rule and_pos)
% 0.46/0.67  (step t37.t13 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule and_pos)
% 0.46/0.67  (step t37.t14 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule and_pos)
% 0.46/0.67  (step t37.t15 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule and_pos)
% 0.46/0.67  (step t37.t16 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule and_pos)
% 0.46/0.67  (step t37.t17 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule and_pos)
% 0.46/0.67  (step t37.t18 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule and_pos)
% 0.46/0.67  (step t37.t19 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule and_pos)
% 0.46/0.67  (step t37.t20 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) :rule and_pos)
% 0.46/0.67  (step t37.t21 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) :rule and_pos)
% 0.46/0.67  (step t37.t22 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule and_pos)
% 0.46/0.67  (step t37.t23 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule and_pos)
% 0.46/0.67  (step t37.t24 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule and_pos)
% 0.46/0.67  (step t37.t25 (cl (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule resolution :premises (t37.t2 t37.t3 t37.t4 t37.t5 t37.t6 t37.t7 t37.t8 t37.t9 t37.t10 t37.t11 t37.t12 t37.t13 t37.t14 t37.t15 t37.t16 t37.t17 t37.t18 t37.t19 t37.t20 t37.t21 t37.t22 t37.t23 t37.t24))
% 0.46/0.67  (step t37.t26 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule reordering :premises (t37.t25))
% 0.46/0.67  (step t37.t27 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule contraction :premises (t37.t26))
% 0.46/0.67  (step t37.t28 (cl (=> (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule resolution :premises (t37.t1 t37.t27))
% 0.46/0.67  (step t37.t29 (cl (=> (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) :rule implies_neg2)
% 0.46/0.67  (step t37.t30 (cl (=> (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (=> (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) :rule resolution :premises (t37.t28 t37.t29))
% 0.46/0.67  (step t37.t31 (cl (=> (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) :rule contraction :premises (t37.t30))
% 0.46/0.67  (step t37.t32 (cl (not (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule implies :premises (t37.t31))
% 0.46/0.67  (step t37.t33 (cl (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule and_neg)
% 0.46/0.67  (step t37.t34 (cl (and (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule resolution :premises (t37.t33 t37.a19 t37.a18 t37.a17 t37.a16 t37.a15 t37.a14 t37.a0 t37.a13 t37.a4 t37.a1 t37.a9 t37.a3 t37.a6 t37.a5 t37.a7 t37.a20 t37.a11 t37.a21 t37.a2 t37.a8 t37.a10 t37.a12))
% 0.46/0.67  (step t37.t35 (cl (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule resolution :premises (t37.t32 t37.t34))
% 0.46/0.67  (step t37 (cl (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule subproof :discharge (t37.a0 t37.a1 t37.a2 t37.a3 t37.a4 t37.a5 t37.a6 t37.a7 t37.a8 t37.a9 t37.a10 t37.a11 t37.a12 t37.a13 t37.a14 t37.a15 t37.a16 t37.a17 t37.a18 t37.a19 t37.a20 t37.a21))
% 0.46/0.67  (step t38 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule and_pos)
% 0.46/0.67  (step t39 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) :rule and_pos)
% 0.46/0.67  (step t40 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) :rule and_pos)
% 0.46/0.67  (step t41 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule and_pos)
% 0.46/0.67  (step t42 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule and_pos)
% 0.46/0.67  (step t43 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule and_pos)
% 0.46/0.67  (step t44 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule and_pos)
% 0.46/0.67  (step t45 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule and_pos)
% 0.46/0.67  (step t46 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule and_pos)
% 0.46/0.67  (step t47 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule and_pos)
% 0.46/0.67  (step t48 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule and_pos)
% 0.46/0.67  (step t49 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule and_pos)
% 0.46/0.67  (step t50 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule and_pos)
% 0.46/0.67  (step t51 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule and_pos)
% 0.46/0.67  (step t52 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule and_pos)
% 0.46/0.67  (step t53 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule and_pos)
% 0.46/0.67  (step t54 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule and_pos)
% 0.46/0.67  (step t55 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule and_pos)
% 0.46/0.67  (step t56 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule and_pos)
% 0.46/0.67  (step t57 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) :rule and_pos)
% 0.46/0.67  (step t58 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule and_pos)
% 0.46/0.67  (step t59 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) :rule and_pos)
% 0.46/0.67  (step t60 (cl (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))))) :rule resolution :premises (t37 t38 t39 t40 t41 t42 t43 t44 t45 t46 t47 t48 t49 t50 t51 t52 t53 t54 t55 t56 t57 t58 t59))
% 0.46/0.67  (step t61 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule reordering :premises (t60))
% 0.46/0.67  (step t62 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule contraction :premises (t61))
% 0.46/0.67  (step t63 (cl (=> (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule resolution :premises (t36 t62))
% 0.46/0.67  (step t64 (cl (=> (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) :rule implies_neg2)
% 0.46/0.67  (step t65 (cl (=> (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (=> (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) :rule resolution :premises (t63 t64))
% 0.46/0.67  (step t66 (cl (=> (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) :rule contraction :premises (t65))
% 0.46/0.67  (step t67 (cl (not (and (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule implies :premises (t66))
% 0.46/0.67  (step t68 (cl (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule resolution :premises (t35 t67))
% 0.46/0.67  (step t69 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule or_neg)
% 0.46/0.67  (step t70 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))))) :rule or_neg)
% 0.46/0.67  (step t71 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))))) :rule or_neg)
% 0.46/0.67  (step t72 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))))) :rule or_neg)
% 0.46/0.67  (step t73 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))) :rule or_neg)
% 0.46/0.67  (step t74 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule or_neg)
% 0.46/0.67  (step t75 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))) :rule or_neg)
% 0.46/0.67  (step t76 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule or_neg)
% 0.46/0.67  (step t77 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule or_neg)
% 0.46/0.67  (step t78 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule or_neg)
% 0.46/0.67  (step t79 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule or_neg)
% 0.46/0.67  (step t80 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))) :rule or_neg)
% 0.46/0.67  (step t81 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule or_neg)
% 0.46/0.67  (step t82 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))))) :rule or_neg)
% 0.46/0.67  (step t83 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))))) :rule or_neg)
% 0.46/0.67  (step t84 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))))) :rule or_neg)
% 0.46/0.67  (step t85 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))))) :rule or_neg)
% 0.46/0.67  (step t86 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))))) :rule or_neg)
% 0.46/0.67  (step t87 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))))) :rule or_neg)
% 0.46/0.67  (step t88 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))))) :rule or_neg)
% 0.46/0.67  (step t89 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))))) :rule or_neg)
% 0.46/0.67  (step t90 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))))) :rule or_neg)
% 0.46/0.67  (step t91 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (not (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) :rule or_neg)
% 0.46/0.67  (step t92 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) :rule resolution :premises (t68 t69 t70 t71 t72 t73 t74 t75 t76 t77 t78 t79 t80 t81 t82 t83 t84 t85 t86 t87 t88 t89 t90 t91))
% 0.46/0.68  (step t93 (cl (or (not (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) :rule contraction :premises (t92))
% 0.46/0.68  (step t94 (cl (or (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))))) :rule resolution :premises (t1 t34 t93))
% 0.46/0.68  (step t95 (cl (= tptp.a (tptp.inverse (tptp.inverse tptp.a))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule or :premises (t94))
% 0.46/0.68  (step t96 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t97)
% 0.46/0.68  (assume t97.a0 (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))))
% 0.46/0.68  (step t97.t1 (cl (or (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule forall_inst :args ((:= Y (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))) (:= X tptp.a)))
% 0.46/0.68  (step t97.t2 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) :rule or :premises (t97.t1))
% 0.46/0.68  (step t97.t3 (cl (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) :rule resolution :premises (t97.t2 t97.a0))
% 0.46/0.68  (step t97 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) :rule subproof :discharge (t97.a0))
% 0.46/0.68  (step t98 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) :rule resolution :premises (t96 t97))
% 0.46/0.68  (step t99 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) (not (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule implies_neg2)
% 0.46/0.68  (step t100 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule resolution :premises (t98 t99))
% 0.46/0.68  (step t101 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a)))) :rule contraction :premises (t100))
% 0.46/0.68  (step t102 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) :rule implies :premises (t101))
% 0.46/0.68  (step t103 (cl (not (= (forall ((Y $$unsorted) (X $$unsorted)) (= (tptp.multiply Y X X) X)) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))))) (not (forall ((Y $$unsorted) (X $$unsorted)) (= (tptp.multiply Y X X) X))) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) :rule equiv_pos2)
% 0.46/0.68  (anchor :step t104 :args ((Y $$unsorted) (:= Y Y) (X $$unsorted) (:= X X)))
% 0.46/0.68  (step t104.t1 (cl (= Y Y)) :rule refl)
% 0.46/0.68  (step t104.t2 (cl (= X X)) :rule refl)
% 0.46/0.68  (step t104.t3 (cl (= (= (tptp.multiply Y X X) X) (= X (tptp.multiply Y X X)))) :rule all_simplify)
% 0.46/0.68  (step t104 (cl (= (forall ((Y $$unsorted) (X $$unsorted)) (= (tptp.multiply Y X X) X)) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))))) :rule bind)
% 0.46/0.68  (step t105 (cl (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) :rule resolution :premises (t103 t104 a1))
% 0.46/0.68  (step t106 (cl (= tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a tptp.a))) :rule resolution :premises (t102 t105))
% 0.46/0.68  (step t107 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t108)
% 0.46/0.68  (assume t108.a0 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))))
% 0.46/0.68  (step t108.t1 (cl (or (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) :rule forall_inst :args ((:= V (tptp.inverse (tptp.inverse tptp.a))) (:= W tptp.a) (:= X (tptp.inverse (tptp.inverse tptp.a))) (:= Y (tptp.inverse tptp.a)) (:= Z tptp.a)))
% 0.46/0.68  (step t108.t2 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) :rule or :premises (t108.t1))
% 0.46/0.68  (step t108.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) :rule resolution :premises (t108.t2 t108.a0))
% 0.46/0.68  (step t108 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) :rule subproof :discharge (t108.a0))
% 0.46/0.68  (step t109 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) :rule resolution :premises (t107 t108))
% 0.46/0.68  (step t110 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) :rule implies_neg2)
% 0.46/0.68  (step t111 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) :rule resolution :premises (t109 t110))
% 0.46/0.68  (step t112 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a))))) :rule contraction :premises (t111))
% 0.46/0.68  (step t113 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) :rule implies :premises (t112))
% 0.46/0.68  (step t114 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) tptp.a)))) :rule resolution :premises (t113 a0))
% 0.46/0.68  (step t115 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t116)
% 0.46/0.68  (assume t116.a0 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))))
% 0.46/0.68  (step t116.t1 (cl (or (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))))) :rule forall_inst :args ((:= V (tptp.inverse (tptp.inverse tptp.a))) (:= W tptp.a) (:= X (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (:= Y (tptp.inverse tptp.a)) (:= Z (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))
% 0.46/0.68  (step t116.t2 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule or :premises (t116.t1))
% 0.46/0.68  (step t116.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule resolution :premises (t116.t2 t116.a0))
% 0.46/0.68  (step t116 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule subproof :discharge (t116.a0))
% 0.46/0.68  (step t117 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule resolution :premises (t115 t116))
% 0.46/0.68  (step t118 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))))) :rule implies_neg2)
% 0.46/0.68  (step t119 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))))) :rule resolution :premises (t117 t118))
% 0.46/0.68  (step t120 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))))) :rule contraction :premises (t119))
% 0.46/0.68  (step t121 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule implies :premises (t120))
% 0.46/0.68  (step t122 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule resolution :premises (t121 a0))
% 0.46/0.68  (step t123 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t124)
% 0.46/0.68  (assume t124.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))))
% 0.46/0.68  (step t124.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule forall_inst :args ((:= X (tptp.inverse (tptp.inverse tptp.a))) (:= Y tptp.a)))
% 0.46/0.68  (step t124.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) :rule or :premises (t124.t1))
% 0.46/0.68  (step t124.t3 (cl (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) :rule resolution :premises (t124.t2 t124.a0))
% 0.46/0.68  (step t124 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) :rule subproof :discharge (t124.a0))
% 0.46/0.68  (step t125 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) :rule resolution :premises (t123 t124))
% 0.46/0.68  (step t126 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule implies_neg2)
% 0.46/0.68  (step t127 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule resolution :premises (t125 t126))
% 0.46/0.68  (step t128 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule contraction :premises (t127))
% 0.46/0.68  (step t129 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) :rule implies :premises (t128))
% 0.46/0.68  (step t130 (cl (not (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y (tptp.inverse Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))))) (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y (tptp.inverse Y)) X))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) :rule equiv_pos2)
% 0.46/0.68  (anchor :step t131 :args ((X $$unsorted) (:= X X) (Y $$unsorted) (:= Y Y)))
% 0.46/0.68  (step t131.t1 (cl (= X X)) :rule refl)
% 0.46/0.68  (step t131.t2 (cl (= Y Y)) :rule refl)
% 0.46/0.68  (step t131.t3 (cl (= (= (tptp.multiply X Y (tptp.inverse Y)) X) (= X (tptp.multiply X Y (tptp.inverse Y))))) :rule all_simplify)
% 0.46/0.68  (step t131 (cl (= (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.multiply X Y (tptp.inverse Y)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))))) :rule bind)
% 0.46/0.68  (step t132 (cl (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) :rule resolution :premises (t130 t131 a4))
% 0.46/0.68  (step t133 (cl (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))) :rule resolution :premises (t129 t132))
% 0.46/0.68  (step t134 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t135)
% 0.46/0.68  (assume t135.a0 (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))))
% 0.46/0.68  (step t135.t1 (cl (or (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))) :rule forall_inst :args ((:= Y (tptp.inverse tptp.a)) (:= X (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.68  (step t135.t2 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule or :premises (t135.t1))
% 0.46/0.68  (step t135.t3 (cl (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t135.t2 t135.a0))
% 0.46/0.68  (step t135 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule subproof :discharge (t135.a0))
% 0.46/0.68  (step t136 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t134 t135))
% 0.46/0.68  (step t137 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))) :rule implies_neg2)
% 0.46/0.68  (step t138 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))) :rule resolution :premises (t136 t137))
% 0.46/0.68  (step t139 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))) :rule contraction :premises (t138))
% 0.46/0.68  (step t140 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule implies :premises (t139))
% 0.46/0.68  (step t141 (cl (not (= (forall ((Y $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.inverse Y) Y X) X)) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))))) (not (forall ((Y $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.inverse Y) Y X) X))) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) :rule equiv_pos2)
% 0.46/0.68  (anchor :step t142 :args ((Y $$unsorted) (:= Y Y) (X $$unsorted) (:= X X)))
% 0.46/0.68  (step t142.t1 (cl (= Y Y)) :rule refl)
% 0.46/0.68  (step t142.t2 (cl (= X X)) :rule refl)
% 0.46/0.68  (step t142.t3 (cl (= (= (tptp.multiply (tptp.inverse Y) Y X) X) (= X (tptp.multiply (tptp.inverse Y) Y X)))) :rule all_simplify)
% 0.46/0.68  (step t142 (cl (= (forall ((Y $$unsorted) (X $$unsorted)) (= (tptp.multiply (tptp.inverse Y) Y X) X)) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))))) :rule bind)
% 0.46/0.68  (step t143 (cl (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) :rule resolution :premises (t141 t142 a3))
% 0.46/0.68  (step t144 (cl (= (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t140 t143))
% 0.46/0.68  (step t145 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t146)
% 0.46/0.68  (assume t146.a0 (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))))
% 0.46/0.68  (step t146.t1 (cl (or (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))))) :rule forall_inst :args ((:= Y tptp.a) (:= X (tptp.inverse tptp.a))))
% 0.46/0.68  (step t146.t2 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule or :premises (t146.t1))
% 0.46/0.68  (step t146.t3 (cl (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule resolution :premises (t146.t2 t146.a0))
% 0.46/0.68  (step t146 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule subproof :discharge (t146.a0))
% 0.46/0.68  (step t147 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule resolution :premises (t145 t146))
% 0.46/0.68  (step t148 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))))) :rule implies_neg2)
% 0.46/0.68  (step t149 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))))) :rule resolution :premises (t147 t148))
% 0.46/0.68  (step t150 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a))))) :rule contraction :premises (t149))
% 0.46/0.68  (step t151 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule implies :premises (t150))
% 0.46/0.68  (step t152 (cl (= (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule resolution :premises (t151 t105))
% 0.46/0.68  (step t153 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t154)
% 0.46/0.68  (assume t154.a0 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))))
% 0.46/0.68  (step t154.t1 (cl (or (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule forall_inst :args ((:= V tptp.a) (:= W (tptp.inverse tptp.a)) (:= X (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (:= Y (tptp.inverse tptp.a)) (:= Z (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))
% 0.46/0.68  (step t154.t2 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule or :premises (t154.t1))
% 0.46/0.68  (step t154.t3 (cl (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule resolution :premises (t154.t2 t154.a0))
% 0.46/0.68  (step t154 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule subproof :discharge (t154.a0))
% 0.46/0.68  (step t155 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule resolution :premises (t153 t154))
% 0.46/0.68  (step t156 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule implies_neg2)
% 0.46/0.68  (step t157 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule resolution :premises (t155 t156))
% 0.46/0.68  (step t158 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule contraction :premises (t157))
% 0.46/0.68  (step t159 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule implies :premises (t158))
% 0.46/0.68  (step t160 (cl (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule resolution :premises (t159 a0))
% 0.46/0.68  (step t161 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t162)
% 0.46/0.68  (assume t162.a0 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))))
% 0.46/0.68  (step t162.t1 (cl (or (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule forall_inst :args ((:= V (tptp.inverse (tptp.inverse tptp.a))) (:= W tptp.a) (:= X (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (:= Y (tptp.inverse tptp.a)) (:= Z (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))
% 0.46/0.68  (step t162.t2 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule or :premises (t162.t1))
% 0.46/0.68  (step t162.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule resolution :premises (t162.t2 t162.a0))
% 0.46/0.68  (step t162 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule subproof :discharge (t162.a0))
% 0.46/0.68  (step t163 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule resolution :premises (t161 t162))
% 0.46/0.68  (step t164 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule implies_neg2)
% 0.46/0.68  (step t165 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule resolution :premises (t163 t164))
% 0.46/0.68  (step t166 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))))) :rule contraction :premises (t165))
% 0.46/0.68  (step t167 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule implies :premises (t166))
% 0.46/0.68  (step t168 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule resolution :premises (t167 a0))
% 0.46/0.68  (step t169 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t170)
% 0.46/0.68  (assume t170.a0 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))))
% 0.46/0.68  (step t170.t1 (cl (or (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))))) :rule forall_inst :args ((:= V (tptp.inverse tptp.a)) (:= W tptp.a) (:= X (tptp.inverse (tptp.inverse tptp.a))) (:= Y tptp.a) (:= Z (tptp.inverse tptp.a))))
% 0.46/0.68  (step t170.t2 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule or :premises (t170.t1))
% 0.46/0.68  (step t170.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule resolution :premises (t170.t2 t170.a0))
% 0.46/0.68  (step t170 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule subproof :discharge (t170.a0))
% 0.46/0.68  (step t171 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule resolution :premises (t169 t170))
% 0.46/0.68  (step t172 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))))) :rule implies_neg2)
% 0.46/0.68  (step t173 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))))) :rule resolution :premises (t171 t172))
% 0.46/0.68  (step t174 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)))))) :rule contraction :premises (t173))
% 0.46/0.68  (step t175 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule implies :premises (t174))
% 0.46/0.68  (step t176 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a))))) :rule resolution :premises (t175 a0))
% 0.46/0.68  (step t177 (cl (not (= (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))))) (not (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))) :rule equiv_pos2)
% 0.46/0.68  (step t178 (cl (= (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))))) :rule refl)
% 0.46/0.68  (step t179 (cl (= (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))) :rule all_simplify)
% 0.46/0.68  (step t180 (cl (= (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))))) :rule cong :premises (t178 t179))
% 0.46/0.68  (step t181 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t182)
% 0.46/0.68  (assume t182.a0 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))))
% 0.46/0.68  (step t182.t1 (cl (or (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule forall_inst :args ((:= V (tptp.inverse (tptp.inverse tptp.a))) (:= W (tptp.inverse tptp.a)) (:= X (tptp.inverse (tptp.inverse tptp.a))) (:= Y tptp.a) (:= Z (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.68  (step t182.t2 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule or :premises (t182.t1))
% 0.46/0.68  (step t182.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t182.t2 t182.a0))
% 0.46/0.68  (step t182 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule subproof :discharge (t182.a0))
% 0.46/0.68  (step t183 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t181 t182))
% 0.46/0.68  (step t184 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule implies_neg2)
% 0.46/0.68  (step t185 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule resolution :premises (t183 t184))
% 0.46/0.68  (step t186 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule contraction :premises (t185))
% 0.46/0.68  (step t187 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))))) :rule resolution :premises (t177 t180 t186))
% 0.46/0.68  (step t188 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule implies :premises (t187))
% 0.46/0.68  (step t189 (cl (= (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t188 a0))
% 0.46/0.68  (step t190 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t191)
% 0.46/0.68  (assume t191.a0 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))))
% 0.46/0.68  (step t191.t1 (cl (or (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule forall_inst :args ((:= V tptp.a) (:= W (tptp.inverse tptp.a)) (:= X (tptp.inverse (tptp.inverse tptp.a))) (:= Y tptp.a) (:= Z (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.68  (step t191.t2 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule or :premises (t191.t1))
% 0.46/0.68  (step t191.t3 (cl (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t191.t2 t191.a0))
% 0.46/0.68  (step t191 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule subproof :discharge (t191.a0))
% 0.46/0.68  (step t192 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t190 t191))
% 0.46/0.68  (step t193 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule implies_neg2)
% 0.46/0.68  (step t194 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule resolution :premises (t192 t193))
% 0.46/0.68  (step t195 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule contraction :premises (t194))
% 0.46/0.68  (step t196 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule implies :premises (t195))
% 0.46/0.68  (step t197 (cl (= (tptp.multiply (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t196 a0))
% 0.46/0.68  (step t198 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t199)
% 0.46/0.68  (assume t199.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))))
% 0.46/0.68  (step t199.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule forall_inst :args ((:= X tptp.a) (:= Y (tptp.inverse tptp.a))))
% 0.46/0.68  (step t199.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule or :premises (t199.t1))
% 0.46/0.68  (step t199.t3 (cl (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule resolution :premises (t199.t2 t199.a0))
% 0.46/0.68  (step t199 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule subproof :discharge (t199.a0))
% 0.46/0.68  (step t200 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule resolution :premises (t198 t199))
% 0.46/0.68  (step t201 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule implies_neg2)
% 0.46/0.68  (step t202 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t200 t201))
% 0.46/0.68  (step t203 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule contraction :premises (t202))
% 0.46/0.68  (step t204 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule implies :premises (t203))
% 0.46/0.68  (step t205 (cl (= tptp.a (tptp.multiply tptp.a (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule resolution :premises (t204 t132))
% 0.46/0.68  (step t206 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t207)
% 0.46/0.68  (assume t207.a0 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))))
% 0.46/0.68  (step t207.t1 (cl (or (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule forall_inst :args ((:= V (tptp.inverse (tptp.inverse tptp.a))) (:= W tptp.a) (:= X (tptp.inverse tptp.a)) (:= Y tptp.a) (:= Z (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.68  (step t207.t2 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule or :premises (t207.t1))
% 0.46/0.68  (step t207.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t207.t2 t207.a0))
% 0.46/0.68  (step t207 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule subproof :discharge (t207.a0))
% 0.46/0.68  (step t208 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t206 t207))
% 0.46/0.68  (step t209 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule implies_neg2)
% 0.46/0.68  (step t210 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule resolution :premises (t208 t209))
% 0.46/0.68  (step t211 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule contraction :premises (t210))
% 0.46/0.68  (step t212 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule implies :premises (t211))
% 0.46/0.68  (step t213 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t212 a0))
% 0.46/0.68  (step t214 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t215)
% 0.46/0.68  (assume t215.a0 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))))
% 0.46/0.68  (step t215.t1 (cl (or (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule forall_inst :args ((:= V (tptp.inverse (tptp.inverse tptp.a))) (:= W (tptp.inverse tptp.a)) (:= X (tptp.inverse tptp.a)) (:= Y (tptp.inverse tptp.a)) (:= Z (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))
% 0.46/0.68  (step t215.t2 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule or :premises (t215.t1))
% 0.46/0.68  (step t215.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule resolution :premises (t215.t2 t215.a0))
% 0.46/0.68  (step t215 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule subproof :discharge (t215.a0))
% 0.46/0.68  (step t216 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule resolution :premises (t214 t215))
% 0.46/0.68  (step t217 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule implies_neg2)
% 0.46/0.68  (step t218 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule resolution :premises (t216 t217))
% 0.46/0.68  (step t219 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))))) :rule contraction :premises (t218))
% 0.46/0.68  (step t220 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule implies :premises (t219))
% 0.46/0.68  (step t221 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule resolution :premises (t220 a0))
% 0.46/0.68  (step t222 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t223)
% 0.46/0.68  (assume t223.a0 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))))
% 0.46/0.68  (step t223.t1 (cl (or (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule forall_inst :args ((:= V (tptp.inverse tptp.a)) (:= W tptp.a) (:= X (tptp.inverse (tptp.inverse tptp.a))) (:= Y tptp.a) (:= Z (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.68  (step t223.t2 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule or :premises (t223.t1))
% 0.46/0.68  (step t223.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t223.t2 t223.a0))
% 0.46/0.68  (step t223 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule subproof :discharge (t223.a0))
% 0.46/0.68  (step t224 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t222 t223))
% 0.46/0.68  (step t225 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule implies_neg2)
% 0.46/0.68  (step t226 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule resolution :premises (t224 t225))
% 0.46/0.68  (step t227 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule contraction :premises (t226))
% 0.46/0.68  (step t228 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule implies :premises (t227))
% 0.46/0.68  (step t229 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t228 a0))
% 0.46/0.68  (step t230 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t231)
% 0.46/0.68  (assume t231.a0 (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))))
% 0.46/0.68  (step t231.t1 (cl (or (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule forall_inst :args ((:= Y tptp.a) (:= X (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.68  (step t231.t2 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule or :premises (t231.t1))
% 0.46/0.68  (step t231.t3 (cl (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule resolution :premises (t231.t2 t231.a0))
% 0.46/0.68  (step t231 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule subproof :discharge (t231.a0))
% 0.46/0.68  (step t232 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule resolution :premises (t230 t231))
% 0.46/0.68  (step t233 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule implies_neg2)
% 0.46/0.68  (step t234 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t232 t233))
% 0.46/0.68  (step t235 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule contraction :premises (t234))
% 0.46/0.68  (step t236 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule implies :premises (t235))
% 0.46/0.68  (step t237 (cl (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule resolution :premises (t236 t143))
% 0.46/0.68  (step t238 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t239)
% 0.46/0.68  (assume t239.a0 (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))))
% 0.46/0.68  (step t239.t1 (cl (or (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule forall_inst :args ((:= Y (tptp.inverse tptp.a)) (:= X (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.68  (step t239.t2 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule or :premises (t239.t1))
% 0.46/0.68  (step t239.t3 (cl (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule resolution :premises (t239.t2 t239.a0))
% 0.46/0.68  (step t239 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule subproof :discharge (t239.a0))
% 0.46/0.68  (step t240 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule resolution :premises (t238 t239))
% 0.46/0.68  (step t241 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule implies_neg2)
% 0.46/0.68  (step t242 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t240 t241))
% 0.46/0.68  (step t243 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule contraction :premises (t242))
% 0.46/0.68  (step t244 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule implies :premises (t243))
% 0.46/0.68  (step t245 (cl (= (tptp.inverse (tptp.inverse tptp.a)) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule resolution :premises (t244 t143))
% 0.46/0.68  (step t246 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t247)
% 0.46/0.68  (assume t247.a0 (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))))
% 0.46/0.68  (step t247.t1 (cl (or (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule forall_inst :args ((:= V (tptp.inverse tptp.a)) (:= W (tptp.inverse tptp.a)) (:= X (tptp.inverse (tptp.inverse tptp.a))) (:= Y tptp.a) (:= Z (tptp.inverse (tptp.inverse tptp.a)))))
% 0.46/0.68  (step t247.t2 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule or :premises (t247.t1))
% 0.46/0.68  (step t247.t3 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t247.t2 t247.a0))
% 0.46/0.68  (step t247 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule subproof :discharge (t247.a0))
% 0.46/0.68  (step t248 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t246 t247))
% 0.46/0.68  (step t249 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (not (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule implies_neg2)
% 0.46/0.68  (step t250 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule resolution :premises (t248 t249))
% 0.46/0.68  (step t251 (cl (=> (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z)))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a))))))) :rule contraction :premises (t250))
% 0.46/0.68  (step t252 (cl (not (forall ((V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.multiply (tptp.multiply V W X) Y (tptp.multiply V W Z)) (tptp.multiply V W (tptp.multiply X Y Z))))) (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule implies :premises (t251))
% 0.46/0.68  (step t253 (cl (= (tptp.multiply (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))) tptp.a (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) tptp.a (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t252 a0))
% 0.46/0.68  (step t254 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t255)
% 0.46/0.68  (assume t255.a0 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))))
% 0.46/0.68  (step t255.t1 (cl (or (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule forall_inst :args ((:= X (tptp.inverse tptp.a)) (:= Y (tptp.inverse tptp.a))))
% 0.46/0.68  (step t255.t2 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule or :premises (t255.t1))
% 0.46/0.68  (step t255.t3 (cl (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule resolution :premises (t255.t2 t255.a0))
% 0.46/0.68  (step t255 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule subproof :discharge (t255.a0))
% 0.46/0.68  (step t256 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule resolution :premises (t254 t255))
% 0.46/0.68  (step t257 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule implies_neg2)
% 0.46/0.68  (step t258 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule resolution :premises (t256 t257))
% 0.46/0.68  (step t259 (cl (=> (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a)))))) :rule contraction :premises (t258))
% 0.46/0.68  (step t260 (cl (not (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.multiply X Y (tptp.inverse Y))))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule implies :premises (t259))
% 0.46/0.68  (step t261 (cl (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) (tptp.inverse tptp.a) (tptp.inverse (tptp.inverse tptp.a))))) :rule resolution :premises (t260 t132))
% 0.46/0.68  (step t262 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t263)
% 0.46/0.68  (assume t263.a0 (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))))
% 0.46/0.68  (step t263.t1 (cl (or (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))))) :rule forall_inst :args ((:= Y (tptp.inverse tptp.a)) (:= X (tptp.inverse tptp.a))))
% 0.46/0.68  (step t263.t2 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule or :premises (t263.t1))
% 0.46/0.68  (step t263.t3 (cl (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule resolution :premises (t263.t2 t263.a0))
% 0.46/0.68  (step t263 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule subproof :discharge (t263.a0))
% 0.46/0.68  (step t264 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule resolution :premises (t262 t263))
% 0.46/0.68  (step t265 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))))) :rule implies_neg2)
% 0.46/0.68  (step t266 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))))) :rule resolution :premises (t264 t265))
% 0.46/0.68  (step t267 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a))))) :rule contraction :premises (t266))
% 0.46/0.68  (step t268 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule implies :premises (t267))
% 0.46/0.68  (step t269 (cl (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse (tptp.inverse tptp.a)) (tptp.inverse tptp.a) (tptp.inverse tptp.a)))) :rule resolution :premises (t268 t143))
% 0.46/0.68  (step t270 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t271)
% 0.46/0.68  (assume t271.a0 (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))))
% 0.46/0.68  (step t271.t1 (cl (or (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))))) :rule forall_inst :args ((:= Y tptp.a) (:= X (tptp.inverse tptp.a))))
% 0.46/0.68  (step t271.t2 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) :rule or :premises (t271.t1))
% 0.46/0.68  (step t271.t3 (cl (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) :rule resolution :premises (t271.t2 t271.a0))
% 0.46/0.68  (step t271 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) :rule subproof :discharge (t271.a0))
% 0.46/0.68  (step t272 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) :rule resolution :premises (t270 t271))
% 0.46/0.68  (step t273 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (not (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))))) :rule implies_neg2)
% 0.46/0.68  (step t274 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))))) :rule resolution :premises (t272 t273))
% 0.46/0.68  (step t275 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a))))) :rule contraction :premises (t274))
% 0.46/0.68  (step t276 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply (tptp.inverse Y) Y X)))) (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) :rule implies :premises (t275))
% 0.46/0.68  (step t277 (cl (= (tptp.inverse tptp.a) (tptp.multiply (tptp.inverse tptp.a) tptp.a (tptp.inverse tptp.a)))) :rule resolution :premises (t276 t143))
% 0.46/0.68  (step t278 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) :rule implies_neg1)
% 0.46/0.68  (anchor :step t279)
% 0.46/0.68  (assume t279.a0 (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))))
% 0.46/0.68  (step t279.t1 (cl (or (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)))) :rule forall_inst :args ((:= Y tptp.a) (:= X tptp.a)))
% 0.46/0.68  (step t279.t2 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) :rule or :premises (t279.t1))
% 0.46/0.68  (step t279.t3 (cl (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) :rule resolution :premises (t279.t2 t279.a0))
% 0.46/0.68  (step t279 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) :rule subproof :discharge (t279.a0))
% 0.46/0.68  (step t280 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) :rule resolution :premises (t278 t279))
% 0.46/0.68  (step t281 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (not (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)))) :rule implies_neg2)
% 0.46/0.68  (step t282 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)))) :rule resolution :premises (t280 t281))
% 0.46/0.68  (step t283 (cl (=> (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a)))) :rule contraction :premises (t282))
% 0.46/0.68  (step t284 (cl (not (forall ((Y $$unsorted) (X $$unsorted)) (= X (tptp.multiply Y X X)))) (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) :rule implies :premises (t283))
% 0.46/0.68  (step t285 (cl (= tptp.a (tptp.multiply tptp.a tptp.a tptp.a))) :rule resolution :premises (t284 t105))
% 0.46/0.68  (step t286 (cl (not (= tptp.a (tptp.inverse (tptp.inverse tptp.a))))) :rule not_symm :premises (a5))
% 0.46/0.68  (step t287 (cl) :rule resolution :premises (t95 t106 t114 t122 t133 t144 t152 t160 t168 t176 t189 t197 t205 t213 t221 t229 t237 t245 t253 t261 t269 t277 t285 t286))
% 0.46/0.68  
% 0.46/0.68  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.03J5A6NC8l/cvc5---1.0.5_12379.smt2
% 0.46/0.68  % cvc5---1.0.5 exiting
% 0.46/0.68  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------