TSTP Solution File: GRP578-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP578-1 : TPTP v8.2.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n015.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 17:03:12 EDT 2024
% Result : Unsatisfiable 10.86s 11.13s
% Output : Proof 10.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP578-1 : TPTP v8.2.0. Released v2.6.0.
% 0.03/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 26 19:16:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----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...
% 10.55/10.77 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.86/11.13 % SZS status Unsatisfiable for /export/starexec/sandbox/tmp/tmp.bLOo7VvZbB/cvc5---1.0.5_18936.smt2
% 10.86/11.13 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.bLOo7VvZbB/cvc5---1.0.5_18936.smt2
% 10.99/11.23 (assume a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) C)))
% 10.99/11.23 (assume a1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))))
% 10.99/11.23 (assume a2 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))
% 10.99/11.23 (assume a3 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))
% 10.99/11.23 (assume a4 (not (= (tptp.multiply tptp.identity tptp.a2) tptp.a2)))
% 10.99/11.23 (step t1 (cl (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity))) (not (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) (not (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule and_neg)
% 10.99/11.23 (step t2 (cl (=> (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg1)
% 10.99/11.23 (anchor :step t3)
% 10.99/11.23 (assume t3.a0 (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)))
% 10.99/11.23 (assume t3.a1 (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))))
% 10.99/11.23 (assume t3.a2 (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.a3 (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.a4 (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.a5 (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.23 (assume t3.a6 (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.a7 (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)))
% 10.99/11.23 (assume t3.a8 (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)))
% 10.99/11.23 (assume t3.a9 (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))
% 10.99/11.23 (assume t3.a10 (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.a11 (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.a12 (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)))
% 10.99/11.23 (assume t3.a13 (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.a14 (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.a15 (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.23 (assume t3.a16 (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))))
% 10.99/11.23 (assume t3.a17 (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.a18 (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)))
% 10.99/11.23 (assume t3.a19 (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))))
% 10.99/11.23 (assume t3.a20 (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (step t3.t1 (cl (=> (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) :rule implies_neg1)
% 10.99/11.23 (anchor :step t3.t2)
% 10.99/11.23 (assume t3.t2.a0 (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.t2.a1 (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))))
% 10.99/11.23 (assume t3.t2.a2 (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)))
% 10.99/11.23 (assume t3.t2.a3 (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))))
% 10.99/11.23 (assume t3.t2.a4 (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.t2.a5 (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)))
% 10.99/11.23 (assume t3.t2.a6 (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.23 (assume t3.t2.a7 (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.t2.a8 (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.t2.a9 (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.t2.a10 (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.t2.a11 (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)))
% 10.99/11.23 (assume t3.t2.a12 (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.t2.a13 (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))))
% 10.99/11.23 (assume t3.t2.a14 (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.t2.a15 (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.23 (assume t3.t2.a16 (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)))
% 10.99/11.23 (assume t3.t2.a17 (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)))
% 10.99/11.23 (assume t3.t2.a18 (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.t2.a19 (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.23 (assume t3.t2.a20 (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))
% 10.99/11.23 (step t3.t2.t1 (cl (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) :rule symm :premises (t3.t2.a4))
% 10.99/11.23 (step t3.t2.t2 (cl (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule symm :premises (t3.t2.t1))
% 10.99/11.23 (step t3.t2.t3 (cl (= (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))) :rule refl)
% 10.99/11.23 (step t3.t2.t4 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) :rule symm :premises (t3.t2.a7))
% 10.99/11.23 (step t3.t2.t5 (cl (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule symm :premises (t3.t2.t4))
% 10.99/11.23 (step t3.t2.t6 (cl (= tptp.identity tptp.identity)) :rule refl)
% 10.99/11.23 (step t3.t2.t7 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) tptp.identity)) :rule symm :premises (t3.t2.a6))
% 10.99/11.23 (step t3.t2.t8 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) :rule symm :premises (t3.t2.t7))
% 10.99/11.23 (step t3.t2.t9 (cl (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) :rule symm :premises (t3.t2.a5))
% 10.99/11.23 (step t3.t2.t10 (cl (= (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule cong :premises (t3.t2.t8 t3.t2.t9))
% 10.99/11.23 (step t3.t2.t11 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule trans :premises (t3.t2.a13 t3.t2.t10))
% 10.99/11.23 (step t3.t2.t12 (cl (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule cong :premises (t3.t2.t6 t3.t2.t11))
% 10.99/11.23 (step t3.t2.t13 (cl (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) :rule refl)
% 10.99/11.23 (step t3.t2.t14 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule cong :premises (t3.t2.t12 t3.t2.t13))
% 10.99/11.23 (step t3.t2.t15 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) :rule symm :premises (t3.t2.a14))
% 10.99/11.23 (step t3.t2.t16 (cl (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) :rule symm :premises (t3.t2.a18))
% 10.99/11.23 (step t3.t2.t17 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) :rule trans :premises (t3.t2.t14 t3.t2.t15 t3.t2.t16))
% 10.99/11.23 (step t3.t2.t18 (cl (= (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)))) :rule cong :premises (t3.t2.t6 t3.t2.t9))
% 10.99/11.23 (step t3.t2.t19 (cl (= tptp.identity (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)))) :rule trans :premises (t3.t2.a13 t3.t2.t18))
% 10.99/11.23 (step t3.t2.t20 (cl (= (tptp.inverse tptp.identity) (tptp.inverse tptp.identity))) :rule refl)
% 10.99/11.23 (step t3.t2.t21 (cl (= (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)))) :rule cong :premises (t3.t2.t19 t3.t2.t20))
% 10.99/11.23 (step t3.t2.t22 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)))) :rule trans :premises (t3.t2.a13 t3.t2.t21))
% 10.99/11.23 (step t3.t2.t23 (cl (= (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity)))) :rule cong :premises (t3.t2.t22 t3.t2.t9))
% 10.99/11.23 (step t3.t2.t24 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity)))) :rule trans :premises (t3.t2.a13 t3.t2.t23))
% 10.99/11.23 (step t3.t2.t25 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))))) :rule cong :premises (t3.t2.t13 t3.t2.t24))
% 10.99/11.23 (step t3.t2.t26 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))))) :rule trans :premises (t3.t2.t17 t3.t2.t25))
% 10.99/11.23 (step t3.t2.t27 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule cong :premises (t3.t2.t26 t3.t2.t13))
% 10.99/11.23 (step t3.t2.t28 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity))) :rule symm :premises (t3.t2.a8))
% 10.99/11.23 (step t3.t2.t29 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity))) :rule trans :premises (t3.t2.t27 t3.t2.t28))
% 10.99/11.23 (step t3.t2.t30 (cl (= (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) :rule cong :premises (t3.t2.t6 t3.t2.t29))
% 10.99/11.23 (step t3.t2.t31 (cl (= (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)) tptp.identity)) :rule symm :premises (t3.t2.a13))
% 10.99/11.23 (step t3.t2.t32 (cl (= (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) tptp.identity)) :rule trans :premises (t3.t2.t30 t3.t2.t31))
% 10.99/11.23 (step t3.t2.t33 (cl (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity))) :rule symm :premises (t3.t2.t9))
% 10.99/11.23 (step t3.t2.t34 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) :rule cong :premises (t3.t2.t32 t3.t2.t33))
% 10.99/11.23 (step t3.t2.t35 (cl (= (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) :rule trans :premises (t3.t2.t5 t3.t2.t34 t3.t2.t31))
% 10.99/11.23 (step t3.t2.t36 (cl (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) :rule cong :premises (t3.t2.t3 t3.t2.t35))
% 10.99/11.23 (step t3.t2.t37 (cl (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) :rule symm :premises (t3.t2.a2))
% 10.99/11.23 (step t3.t2.t38 (cl (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity))) :rule cong :premises (t3.t2.t35))
% 10.99/11.23 (step t3.t2.t39 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) :rule trans :premises (t3.t2.t14 t3.t2.t15 t3.t2.t38 t3.t2.t9 t3.t2.t5 t3.t2.t34 t3.t2.t31))
% 10.99/11.23 (step t3.t2.t40 (cl (= (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) :rule cong :premises (t3.t2.t6 t3.t2.t39))
% 10.99/11.23 (step t3.t2.t41 (cl (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))))) :rule symm :premises (t3.t2.t40))
% 10.99/11.23 (step t3.t2.t42 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)))) :rule symm :premises (t3.t2.t39))
% 10.99/11.23 (step t3.t2.t43 (cl (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)))) :rule trans :premises (t3.t2.t35 t3.t2.t42))
% 10.99/11.23 (step t3.t2.t44 (cl (= tptp.a2 tptp.a2)) :rule refl)
% 10.99/11.23 (step t3.t2.t45 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) :rule cong :premises (t3.t2.t43 t3.t2.t44))
% 10.99/11.23 (step t3.t2.t46 (cl (= (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule symm :premises (t3.t2.t34))
% 10.99/11.23 (step t3.t2.t47 (cl (= (tptp.inverse tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) :rule symm :premises (t3.t2.t38))
% 10.99/11.23 (step t3.t2.t48 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) :rule trans :premises (t3.t2.a13 t3.t2.t46 t3.t2.t4 t3.t2.t33 t3.t2.t47 t3.t2.t16))
% 10.99/11.23 (step t3.t2.t49 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) :rule cong :premises (t3.t2.t45 t3.t2.t48))
% 10.99/11.23 (step t3.t2.t50 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.identity))) :rule symm :premises (t3.t2.t49))
% 10.99/11.23 (step t3.t2.t51 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)))) :rule refl)
% 10.99/11.23 (step t3.t2.t52 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)))) :rule refl)
% 10.99/11.23 (step t3.t2.t53 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))))) :rule cong :premises (t3.t2.t40 t3.t2.t52))
% 10.99/11.23 (step t3.t2.t54 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule cong :premises (t3.t2.t53 t3.t2.t13))
% 10.99/11.23 (step t3.t2.t55 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule symm :premises (t3.t2.t54))
% 10.99/11.23 (step t3.t2.t56 (cl (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule trans :premises (t3.t2.a9 t3.t2.t55))
% 10.99/11.23 (step t3.t2.t57 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule cong :premises (t3.t2.t51 t3.t2.t56))
% 10.99/11.23 (step t3.t2.t58 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule trans :premises (t3.t2.t45 t3.t2.t57))
% 10.99/11.23 (step t3.t2.t59 (cl (= tptp.identity (tptp.double_divide tptp.identity tptp.identity))) :rule symm :premises (t3.t2.t35))
% 10.99/11.23 (step t3.t2.t60 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule cong :premises (t3.t2.t58 t3.t2.t59))
% 10.99/11.23 (step t3.t2.t61 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)))) :rule symm :premises (t3.t2.a12))
% 10.99/11.23 (step t3.t2.t62 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)))) :rule trans :premises (t3.t2.t50 t3.t2.t60 t3.t2.t61))
% 10.99/11.23 (step t3.t2.t63 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))))) :rule cong :premises (t3.t2.t41 t3.t2.t62))
% 10.99/11.23 (step t3.t2.t64 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) :rule symm :premises (t3.t2.t43))
% 10.99/11.23 (step t3.t2.t65 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule cong :premises (t3.t2.t63 t3.t2.t64))
% 10.99/11.23 (step t3.t2.t66 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) :rule symm :premises (t3.t2.a9))
% 10.99/11.23 (step t3.t2.t67 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) tptp.a2)) :rule trans :premises (t3.t2.t65 t3.t2.t54 t3.t2.t66))
% 10.99/11.23 (step t3.t2.t68 (cl (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))))) :rule symm :premises (t3.t2.t67))
% 10.99/11.23 (step t3.t2.t69 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) :rule refl)
% 10.99/11.23 (step t3.t2.t70 (cl (= (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))) :rule cong :premises (t3.t2.t68 t3.t2.t69))
% 10.99/11.23 (step t3.t2.t71 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) :rule symm :premises (t3.t2.a0))
% 10.99/11.23 (step t3.t2.t72 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule symm :premises (t3.t2.t71))
% 10.99/11.23 (step t3.t2.t73 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))) :rule symm :premises (t3.t2.a11))
% 10.99/11.23 (step t3.t2.t74 (cl (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) :rule symm :premises (t3.t2.t73))
% 10.99/11.23 (step t3.t2.t75 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) :rule refl)
% 10.99/11.23 (step t3.t2.t76 (cl (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) tptp.identity)) :rule symm :premises (t3.t2.a3))
% 10.99/11.23 (step t3.t2.t77 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) :rule symm :premises (t3.t2.t76))
% 10.99/11.23 (step t3.t2.t78 (cl (= (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) :rule refl)
% 10.99/11.23 (step t3.t2.t79 (cl (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule symm :premises (t3.t2.a15))
% 10.99/11.23 (step t3.t2.t80 (cl (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule cong :premises (t3.t2.t78 t3.t2.t35))
% 10.99/11.23 (step t3.t2.t81 (cl (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity)))) :rule symm :premises (t3.t2.t80))
% 10.99/11.23 (step t3.t2.t82 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) tptp.identity)) :rule symm :premises (t3.t2.a20))
% 10.99/11.23 (step t3.t2.t83 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) :rule cong :premises (t3.t2.t39 t3.t2.t6))
% 10.99/11.23 (step t3.t2.t84 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) tptp.identity)) :rule trans :premises (t3.t2.t83 t3.t2.t5 t3.t2.t34 t3.t2.t31))
% 10.99/11.23 (step t3.t2.t85 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) :rule cong :premises (t3.t2.t82 t3.t2.t84))
% 10.99/11.23 (step t3.t2.t86 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) tptp.identity)) :rule trans :premises (t3.t2.t85 t3.t2.t5 t3.t2.t34 t3.t2.t31))
% 10.99/11.23 (step t3.t2.t87 (cl (= (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.a2 tptp.identity))) :rule cong :premises (t3.t2.t44 t3.t2.t86))
% 10.99/11.23 (step t3.t2.t88 (cl (= (tptp.double_divide tptp.a2 tptp.identity) (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) :rule cong :premises (t3.t2.t44 t3.t2.t59))
% 10.99/11.23 (step t3.t2.t89 (cl (= (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) :rule trans :premises (t3.t2.t87 t3.t2.t88))
% 10.99/11.23 (step t3.t2.t90 (cl (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity)))) :rule cong :premises (t3.t2.t89 t3.t2.t13))
% 10.99/11.23 (step t3.t2.t91 (cl (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule symm :premises (t3.t2.t90))
% 10.99/11.23 (step t3.t2.t92 (cl (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) :rule symm :premises (t3.t2.a19))
% 10.99/11.23 (step t3.t2.t93 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) :rule symm :premises (t3.t2.a17))
% 10.99/11.23 (step t3.t2.t94 (cl (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) :rule symm :premises (t3.t2.t93))
% 10.99/11.23 (step t3.t2.t95 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2))) :rule symm :premises (t3.t2.t45))
% 10.99/11.23 (step t3.t2.t96 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.identity))) :rule cong :premises (t3.t2.t95 t3.t2.t6))
% 10.99/11.23 (step t3.t2.t97 (cl (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) :rule trans :premises (t3.t2.t79 t3.t2.t81 t3.t2.t91 t3.t2.t92 t3.t2.t94 t3.t2.t96 t3.t2.t49))
% 10.99/11.23 (step t3.t2.t98 (cl (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))) :rule cong :premises (t3.t2.t78 t3.t2.t97))
% 10.99/11.23 (step t3.t2.t99 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))) :rule trans :premises (t3.t2.t77 t3.t2.t98))
% 10.99/11.23 (step t3.t2.t100 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))) :rule trans :premises (t3.t2.t39 t3.t2.t99))
% 10.99/11.23 (step t3.t2.t101 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2))) :rule cong :premises (t3.t2.t100 t3.t2.t44))
% 10.99/11.23 (step t3.t2.t102 (cl (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule symm :premises (t3.t2.t92))
% 10.99/11.23 (step t3.t2.t103 (cl (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule trans :premises (t3.t2.t102 t3.t2.t90 t3.t2.t80))
% 10.99/11.23 (step t3.t2.t104 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)))) :rule cong :premises (t3.t2.t101 t3.t2.t103))
% 10.99/11.23 (step t3.t2.t105 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)))) :rule trans :premises (t3.t2.a20 t3.t2.t104))
% 10.99/11.23 (step t3.t2.t106 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))))) :rule cong :premises (t3.t2.t75 t3.t2.t105))
% 10.99/11.23 (step t3.t2.t107 (cl (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))))) :rule trans :premises (t3.t2.t74 t3.t2.t106))
% 10.99/11.23 (step t3.t2.t108 (cl (= (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule cong :premises (t3.t2.t107 t3.t2.t59))
% 10.99/11.23 (step t3.t2.t109 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) :rule symm :premises (t3.t2.a10))
% 10.99/11.23 (step t3.t2.t110 (cl (= (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) tptp.a2)) :rule trans :premises (t3.t2.t108 t3.t2.t109))
% 10.99/11.23 (step t3.t2.t111 (cl (= (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))) :rule cong :premises (t3.t2.t110 t3.t2.t69))
% 10.99/11.23 (step t3.t2.t112 (cl (= (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) :rule trans :premises (t3.t2.t108 t3.t2.t109 t3.t2.t2 t3.t2.t36 t3.t2.t37))
% 10.99/11.23 (step t3.t2.t113 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) :rule cong :premises (t3.t2.t111 t3.t2.t112))
% 10.99/11.23 (step t3.t2.t114 (cl (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))) tptp.identity)) :rule symm :premises (t3.t2.a1))
% 10.99/11.23 (step t3.t2.t115 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) tptp.identity)) :rule trans :premises (t3.t2.t113 t3.t2.t114))
% 10.99/11.23 (step t3.t2.t116 (cl (= (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) :rule cong :premises (t3.t2.t6 t3.t2.t115))
% 10.99/11.23 (step t3.t2.t117 (cl (= (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) tptp.identity)) :rule trans :premises (t3.t2.t116 t3.t2.t5 t3.t2.t34 t3.t2.t31))
% 10.99/11.23 (step t3.t2.t118 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) :rule cong :premises (t3.t2.t117 t3.t2.t35))
% 10.99/11.23 (step t3.t2.t119 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) :rule trans :premises (t3.t2.t72 t3.t2.t118 t3.t2.t5 t3.t2.t34 t3.t2.t31))
% 10.99/11.23 (step t3.t2.t120 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.a2 tptp.identity))) :rule cong :premises (t3.t2.t67 t3.t2.t119))
% 10.99/11.23 (step t3.t2.t121 (cl (= (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) :rule trans :premises (t3.t2.t70 t3.t2.t120 t3.t2.t88))
% 10.99/11.23 (step t3.t2.t122 (cl (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) :rule cong :premises (t3.t2.t121))
% 10.99/11.23 (step t3.t2.t123 (cl (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2))) :rule symm :premises (t3.t2.a16))
% 10.99/11.23 (step t3.t2.t124 (cl (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.multiply tptp.identity tptp.a2))) :rule cong :premises (t3.t2.t35 t3.t2.t44))
% 10.99/11.23 (step t3.t2.t125 (cl (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) :rule trans :premises (t3.t2.t2 t3.t2.t36 t3.t2.t37 t3.t2.t122 t3.t2.t79 t3.t2.t123 t3.t2.t124))
% 10.99/11.23 (step t3.t2 (cl (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) (not (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) (not (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (not (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) (not (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) :rule subproof :discharge (t3.t2.a0 t3.t2.a1 t3.t2.a2 t3.t2.a3 t3.t2.a4 t3.t2.a5 t3.t2.a6 t3.t2.a7 t3.t2.a8 t3.t2.a9 t3.t2.a10 t3.t2.a11 t3.t2.a12 t3.t2.a13 t3.t2.a14 t3.t2.a15 t3.t2.a16 t3.t2.a17 t3.t2.a18 t3.t2.a19 t3.t2.a20))
% 10.99/11.23 (step t3.t3 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.23 (step t3.t4 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) :rule and_pos)
% 10.99/11.23 (step t3.t5 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) :rule and_pos)
% 10.99/11.23 (step t3.t6 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) :rule and_pos)
% 10.99/11.23 (step t3.t7 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.23 (step t3.t8 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity))) :rule and_pos)
% 10.99/11.23 (step t3.t9 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) :rule and_pos)
% 10.99/11.23 (step t3.t10 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.23 (step t3.t11 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.23 (step t3.t12 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.23 (step t3.t13 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.23 (step t3.t14 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) :rule and_pos)
% 10.99/11.23 (step t3.t15 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.23 (step t3.t16 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) :rule and_pos)
% 10.99/11.23 (step t3.t17 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.23 (step t3.t18 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) :rule and_pos)
% 10.99/11.23 (step t3.t19 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule and_pos)
% 10.99/11.23 (step t3.t20 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) :rule and_pos)
% 10.99/11.23 (step t3.t21 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.23 (step t3.t22 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.23 (step t3.t23 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) :rule and_pos)
% 10.99/11.23 (step t3.t24 (cl (= tptp.a2 (tptp.multiply tptp.identity tptp.a2)) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))))) :rule resolution :premises (t3.t2 t3.t3 t3.t4 t3.t5 t3.t6 t3.t7 t3.t8 t3.t9 t3.t10 t3.t11 t3.t12 t3.t13 t3.t14 t3.t15 t3.t16 t3.t17 t3.t18 t3.t19 t3.t20 t3.t21 t3.t22 t3.t23))
% 10.99/11.24 (step t3.t25 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) :rule reordering :premises (t3.t24))
% 10.99/11.24 (step t3.t26 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) :rule contraction :premises (t3.t25))
% 10.99/11.24 (step t3.t27 (cl (=> (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) :rule resolution :premises (t3.t1 t3.t26))
% 10.99/11.24 (step t3.t28 (cl (=> (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) (not (= tptp.a2 (tptp.multiply tptp.identity tptp.a2)))) :rule implies_neg2)
% 10.99/11.24 (step t3.t29 (cl (=> (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) (=> (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2)))) :rule resolution :premises (t3.t27 t3.t28))
% 10.99/11.24 (step t3.t30 (cl (=> (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2)))) :rule contraction :premises (t3.t29))
% 10.99/11.24 (step t3.t31 (cl (not (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) :rule implies :premises (t3.t30))
% 10.99/11.24 (step t3.t32 (cl (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) (not (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) (not (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (not (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) (not (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) :rule and_neg)
% 10.99/11.24 (step t3.t33 (cl (and (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) :rule resolution :premises (t3.t32 t3.a20 t3.a19 t3.a18 t3.a16 t3.a14 t3.a0 t3.a5 t3.a3 t3.a2 t3.a11 t3.a17 t3.a12 t3.a13 t3.a1 t3.a6 t3.a15 t3.a7 t3.a8 t3.a4 t3.a10 t3.a9))
% 10.99/11.24 (step t3.t34 (cl (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) :rule resolution :premises (t3.t31 t3.t33))
% 10.99/11.24 (step t3 (cl (not (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity))) (not (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) (not (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) :rule subproof :discharge (t3.a0 t3.a1 t3.a2 t3.a3 t3.a4 t3.a5 t3.a6 t3.a7 t3.a8 t3.a9 t3.a10 t3.a11 t3.a12 t3.a13 t3.a14 t3.a15 t3.a16 t3.a17 t3.a18 t3.a19 t3.a20))
% 10.99/11.24 (step t4 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity))) :rule and_pos)
% 10.99/11.24 (step t5 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) :rule and_pos)
% 10.99/11.24 (step t6 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.24 (step t7 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.24 (step t8 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.24 (step t9 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) :rule and_pos)
% 10.99/11.24 (step t10 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.24 (step t11 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule and_pos)
% 10.99/11.24 (step t12 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) :rule and_pos)
% 10.99/11.24 (step t13 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) :rule and_pos)
% 10.99/11.24 (step t14 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.24 (step t15 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.24 (step t16 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) :rule and_pos)
% 10.99/11.24 (step t17 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.24 (step t18 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.24 (step t19 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) :rule and_pos)
% 10.99/11.24 (step t20 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) :rule and_pos)
% 10.99/11.24 (step t21 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.24 (step t22 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) :rule and_pos)
% 10.99/11.24 (step t23 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) :rule and_pos)
% 10.99/11.24 (step t24 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule and_pos)
% 10.99/11.24 (step t25 (cl (= tptp.a2 (tptp.multiply tptp.identity tptp.a2)) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))) :rule resolution :premises (t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19 t20 t21 t22 t23 t24))
% 10.99/11.24 (step t26 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) :rule reordering :premises (t25))
% 10.99/11.24 (step t27 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) :rule contraction :premises (t26))
% 10.99/11.24 (step t28 (cl (=> (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) :rule resolution :premises (t2 t27))
% 10.99/11.24 (step t29 (cl (=> (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) (not (= tptp.a2 (tptp.multiply tptp.identity tptp.a2)))) :rule implies_neg2)
% 10.99/11.24 (step t30 (cl (=> (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) (=> (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2)))) :rule resolution :premises (t28 t29))
% 10.99/11.24 (step t31 (cl (=> (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2)))) :rule contraction :premises (t30))
% 10.99/11.24 (step t32 (cl (not (and (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) :rule implies :premises (t31))
% 10.99/11.24 (step t33 (cl (not (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity))) (not (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) (not (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.multiply tptp.identity tptp.a2))) :rule resolution :premises (t1 t32))
% 10.99/11.24 (step t34 (cl (= tptp.a2 (tptp.multiply tptp.identity tptp.a2)) (not (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity))) (not (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) (not (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule reordering :premises (t33))
% 10.99/11.24 (step t35 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t36)
% 10.99/11.24 (assume t36.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.24 (step t36.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule forall_inst :args ((:= A tptp.identity) (:= B (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (:= C (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))
% 10.99/11.24 (step t36.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule or :premises (t36.t1))
% 10.99/11.24 (step t36.t3 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t36.t2 t36.a0))
% 10.99/11.24 (step t36 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule subproof :discharge (t36.a0))
% 10.99/11.24 (step t37 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t35 t36))
% 10.99/11.24 (step t38 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg2)
% 10.99/11.24 (step t39 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t37 t38))
% 10.99/11.24 (step t40 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule contraction :premises (t39))
% 10.99/11.24 (step t41 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule implies :premises (t40))
% 10.99/11.24 (step t42 (cl (not (= (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) C)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))) (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule equiv_pos2)
% 10.99/11.24 (anchor :step t43 :args ((A $$unsorted) (:= A A) (B $$unsorted) (:= B B) (C $$unsorted) (:= C C)))
% 10.99/11.24 (step t43.t1 (cl (= A A)) :rule refl)
% 10.99/11.24 (step t43.t2 (cl (= B B)) :rule refl)
% 10.99/11.24 (step t43.t3 (cl (= C C)) :rule refl)
% 10.99/11.24 (step t43.t4 (cl (= (= (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) C) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule all_simplify)
% 10.99/11.24 (step t43 (cl (= (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)) C)) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))) :rule bind)
% 10.99/11.24 (step t44 (cl (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t42 t43 a0))
% 10.99/11.24 (step t45 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t41 t44))
% 10.99/11.24 (step t46 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t47)
% 10.99/11.24 (assume t47.a0 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))
% 10.99/11.24 (step t47.t1 (cl (or (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))))) :rule forall_inst :args ((:= A (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))
% 10.99/11.24 (step t47.t2 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) :rule or :premises (t47.t1))
% 10.99/11.24 (step t47.t3 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) :rule resolution :premises (t47.t2 t47.a0))
% 10.99/11.24 (step t47 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) :rule subproof :discharge (t47.a0))
% 10.99/11.24 (step t48 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) :rule resolution :premises (t46 t47))
% 10.99/11.24 (step t49 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))))) :rule implies_neg2)
% 10.99/11.24 (step t50 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))))) :rule resolution :premises (t48 t49))
% 10.99/11.24 (step t51 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))))) :rule contraction :premises (t50))
% 10.99/11.24 (step t52 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) :rule implies :premises (t51))
% 10.99/11.24 (step t53 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))) :rule resolution :premises (t52 a3))
% 10.99/11.24 (step t54 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t55)
% 10.99/11.24 (assume t55.a0 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))
% 10.99/11.24 (step t55.t1 (cl (or (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)))) :rule forall_inst :args ((:= A (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))))))
% 10.99/11.24 (step t55.t2 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) :rule or :premises (t55.t1))
% 10.99/11.24 (step t55.t3 (cl (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) :rule resolution :premises (t55.t2 t55.a0))
% 10.99/11.24 (step t55 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) :rule subproof :discharge (t55.a0))
% 10.99/11.24 (step t56 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) :rule resolution :premises (t54 t55))
% 10.99/11.24 (step t57 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (not (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)))) :rule implies_neg2)
% 10.99/11.24 (step t58 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)))) :rule resolution :premises (t56 t57))
% 10.99/11.24 (step t59 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity)))) :rule contraction :premises (t58))
% 10.99/11.24 (step t60 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) :rule implies :premises (t59))
% 10.99/11.24 (step t61 (cl (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.identity))) :rule resolution :premises (t60 a2))
% 10.99/11.24 (step t62 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t63)
% 10.99/11.24 (assume t63.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.24 (step t63.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule forall_inst :args ((:= A (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (:= B (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (:= C tptp.a2)))
% 10.99/11.24 (step t63.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule or :premises (t63.t1))
% 10.99/11.24 (step t63.t3 (cl (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t63.t2 t63.a0))
% 10.99/11.24 (step t63 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule subproof :discharge (t63.a0))
% 10.99/11.24 (step t64 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t62 t63))
% 10.99/11.24 (step t65 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg2)
% 10.99/11.24 (step t66 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t64 t65))
% 10.99/11.24 (step t67 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule contraction :premises (t66))
% 10.99/11.24 (step t68 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule implies :premises (t67))
% 10.99/11.24 (step t69 (cl (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t68 t44))
% 10.99/11.24 (step t70 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t71)
% 10.99/11.24 (assume t71.a0 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))
% 10.99/11.24 (step t71.t1 (cl (or (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))))) :rule forall_inst :args ((:= A (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.24 (step t71.t2 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) :rule or :premises (t71.t1))
% 10.99/11.24 (step t71.t3 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) :rule resolution :premises (t71.t2 t71.a0))
% 10.99/11.24 (step t71 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) :rule subproof :discharge (t71.a0))
% 10.99/11.24 (step t72 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) :rule resolution :premises (t70 t71))
% 10.99/11.24 (step t73 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))))) :rule implies_neg2)
% 10.99/11.24 (step t74 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))))) :rule resolution :premises (t72 t73))
% 10.99/11.24 (step t75 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))))) :rule contraction :premises (t74))
% 10.99/11.24 (step t76 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) :rule implies :premises (t75))
% 10.99/11.24 (step t77 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) :rule resolution :premises (t76 a3))
% 10.99/11.24 (step t78 (cl (not (= (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))))) (not (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) :rule equiv_pos2)
% 10.99/11.24 (step t79 (cl (= (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))) :rule refl)
% 10.99/11.24 (step t80 (cl (= (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) :rule all_simplify)
% 10.99/11.24 (step t81 (cl (= (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))))) :rule cong :premises (t79 t80))
% 10.99/11.24 (step t82 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t83)
% 10.99/11.24 (assume t83.a0 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))
% 10.99/11.24 (step t83.t1 (cl (or (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)))) :rule forall_inst :args ((:= A (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.24 (step t83.t2 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule or :premises (t83.t1))
% 10.99/11.24 (step t83.t3 (cl (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule resolution :premises (t83.t2 t83.a0))
% 10.99/11.24 (step t83 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule subproof :discharge (t83.a0))
% 10.99/11.24 (step t84 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule resolution :premises (t82 t83))
% 10.99/11.24 (step t85 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (not (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)))) :rule implies_neg2)
% 10.99/11.24 (step t86 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)))) :rule resolution :premises (t84 t85))
% 10.99/11.24 (step t87 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)))) :rule contraction :premises (t86))
% 10.99/11.24 (step t88 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)))))) :rule resolution :premises (t78 t81 t87))
% 10.99/11.24 (step t89 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) :rule implies :premises (t88))
% 10.99/11.24 (step t90 (cl (= (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity) (tptp.inverse (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t89 a2))
% 10.99/11.24 (step t91 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t92)
% 10.99/11.24 (assume t92.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.24 (step t92.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule forall_inst :args ((:= A tptp.a2) (:= B (tptp.double_divide tptp.identity tptp.identity)) (:= C tptp.a2)))
% 10.99/11.24 (step t92.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule or :premises (t92.t1))
% 10.99/11.24 (step t92.t3 (cl (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t92.t2 t92.a0))
% 10.99/11.24 (step t92 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule subproof :discharge (t92.a0))
% 10.99/11.24 (step t93 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t91 t92))
% 10.99/11.24 (step t94 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg2)
% 10.99/11.24 (step t95 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t93 t94))
% 10.99/11.24 (step t96 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule contraction :premises (t95))
% 10.99/11.24 (step t97 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule implies :premises (t96))
% 10.99/11.24 (step t98 (cl (= tptp.a2 (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.a2) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t97 t44))
% 10.99/11.24 (step t99 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t100)
% 10.99/11.24 (assume t100.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.24 (step t100.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule forall_inst :args ((:= A (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (:= B tptp.identity) (:= C (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)))))
% 10.99/11.24 (step t100.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule or :premises (t100.t1))
% 10.99/11.24 (step t100.t3 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t100.t2 t100.a0))
% 10.99/11.24 (step t100 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule subproof :discharge (t100.a0))
% 10.99/11.24 (step t101 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t99 t100))
% 10.99/11.24 (step t102 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg2)
% 10.99/11.24 (step t103 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t101 t102))
% 10.99/11.24 (step t104 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule contraction :premises (t103))
% 10.99/11.24 (step t105 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule implies :premises (t104))
% 10.99/11.24 (step t106 (cl (= (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t105 t44))
% 10.99/11.24 (step t107 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t108)
% 10.99/11.24 (assume t108.a0 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))
% 10.99/11.24 (step t108.t1 (cl (or (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)))) :rule forall_inst :args ((:= A (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))))
% 10.99/11.24 (step t108.t2 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) :rule or :premises (t108.t1))
% 10.99/11.24 (step t108.t3 (cl (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) :rule resolution :premises (t108.t2 t108.a0))
% 10.99/11.24 (step t108 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) :rule subproof :discharge (t108.a0))
% 10.99/11.24 (step t109 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) :rule resolution :premises (t107 t108))
% 10.99/11.24 (step t110 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)))) :rule implies_neg2)
% 10.99/11.24 (step t111 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)))) :rule resolution :premises (t109 t110))
% 10.99/11.24 (step t112 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity)))) :rule contraction :premises (t111))
% 10.99/11.24 (step t113 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) :rule implies :premises (t112))
% 10.99/11.24 (step t114 (cl (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) tptp.identity))) :rule resolution :premises (t113 a2))
% 10.99/11.24 (step t115 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t116)
% 10.99/11.24 (assume t116.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.24 (step t116.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule forall_inst :args ((:= A (tptp.double_divide tptp.identity tptp.identity)) (:= B tptp.a2) (:= C tptp.a2)))
% 10.99/11.24 (step t116.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule or :premises (t116.t1))
% 10.99/11.24 (step t116.t3 (cl (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t116.t2 t116.a0))
% 10.99/11.24 (step t116 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule subproof :discharge (t116.a0))
% 10.99/11.24 (step t117 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t115 t116))
% 10.99/11.24 (step t118 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg2)
% 10.99/11.24 (step t119 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t117 t118))
% 10.99/11.24 (step t120 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule contraction :premises (t119))
% 10.99/11.24 (step t121 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule implies :premises (t120))
% 10.99/11.24 (step t122 (cl (= tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.double_divide tptp.a2 tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t121 t44))
% 10.99/11.24 (step t123 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t124)
% 10.99/11.24 (assume t124.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.24 (step t124.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule forall_inst :args ((:= A tptp.a2) (:= B (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (:= C (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))
% 10.99/11.24 (step t124.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule or :premises (t124.t1))
% 10.99/11.24 (step t124.t3 (cl (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t124.t2 t124.a0))
% 10.99/11.24 (step t124 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule subproof :discharge (t124.a0))
% 10.99/11.24 (step t125 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t123 t124))
% 10.99/11.24 (step t126 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg2)
% 10.99/11.24 (step t127 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t125 t126))
% 10.99/11.24 (step t128 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule contraction :premises (t127))
% 10.99/11.24 (step t129 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule implies :premises (t128))
% 10.99/11.24 (step t130 (cl (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t129 t44))
% 10.99/11.24 (step t131 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t132)
% 10.99/11.24 (assume t132.a0 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))
% 10.99/11.24 (step t132.t1 (cl (or (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) :rule forall_inst :args ((:= A (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))
% 10.99/11.24 (step t132.t2 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) :rule or :premises (t132.t1))
% 10.99/11.24 (step t132.t3 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) :rule resolution :premises (t132.t2 t132.a0))
% 10.99/11.24 (step t132 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) :rule subproof :discharge (t132.a0))
% 10.99/11.24 (step t133 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) :rule resolution :premises (t131 t132))
% 10.99/11.24 (step t134 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) :rule implies_neg2)
% 10.99/11.24 (step t135 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) :rule resolution :premises (t133 t134))
% 10.99/11.24 (step t136 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)))))) :rule contraction :premises (t135))
% 10.99/11.24 (step t137 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) :rule implies :premises (t136))
% 10.99/11.24 (step t138 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))) :rule resolution :premises (t137 a3))
% 10.99/11.24 (step t139 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t140)
% 10.99/11.24 (assume t140.a0 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))
% 10.99/11.24 (step t140.t1 (cl (or (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)))) :rule forall_inst :args ((:= A (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2))))
% 10.99/11.24 (step t140.t2 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) :rule or :premises (t140.t1))
% 10.99/11.24 (step t140.t3 (cl (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) :rule resolution :premises (t140.t2 t140.a0))
% 10.99/11.24 (step t140 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) :rule subproof :discharge (t140.a0))
% 10.99/11.24 (step t141 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) :rule resolution :premises (t139 t140))
% 10.99/11.24 (step t142 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) (not (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)))) :rule implies_neg2)
% 10.99/11.24 (step t143 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)))) :rule resolution :premises (t141 t142))
% 10.99/11.24 (step t144 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity)))) :rule contraction :premises (t143))
% 10.99/11.24 (step t145 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) :rule implies :premises (t144))
% 10.99/11.24 (step t146 (cl (= (tptp.inverse (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2)) (tptp.double_divide (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) tptp.a2) tptp.identity))) :rule resolution :premises (t145 a2))
% 10.99/11.24 (step t147 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity)))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t148)
% 10.99/11.24 (assume t148.a0 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))))
% 10.99/11.24 (step t148.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)))) :rule forall_inst :args ((:= A (tptp.double_divide tptp.identity tptp.identity)) (:= B tptp.a2)))
% 10.99/11.24 (step t148.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule or :premises (t148.t1))
% 10.99/11.24 (step t148.t3 (cl (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule resolution :premises (t148.t2 t148.a0))
% 10.99/11.24 (step t148 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule subproof :discharge (t148.a0))
% 10.99/11.24 (step t149 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule resolution :premises (t147 t148))
% 10.99/11.24 (step t150 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (not (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)))) :rule implies_neg2)
% 10.99/11.24 (step t151 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)))) :rule resolution :premises (t149 t150))
% 10.99/11.24 (step t152 (cl (=> (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity)))) :rule contraction :premises (t151))
% 10.99/11.24 (step t153 (cl (not (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.multiply A B) (tptp.double_divide (tptp.double_divide B A) tptp.identity)))) (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule implies :premises (t152))
% 10.99/11.24 (step t154 (cl (= (tptp.multiply (tptp.double_divide tptp.identity tptp.identity) tptp.a2) (tptp.double_divide (tptp.double_divide tptp.a2 (tptp.double_divide tptp.identity tptp.identity)) tptp.identity))) :rule resolution :premises (t153 a1))
% 10.99/11.24 (step t155 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t156)
% 10.99/11.24 (assume t156.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.24 (step t156.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule forall_inst :args ((:= A tptp.identity) (:= B tptp.identity) (:= C (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.24 (step t156.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule or :premises (t156.t1))
% 10.99/11.24 (step t156.t3 (cl (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t156.t2 t156.a0))
% 10.99/11.24 (step t156 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule subproof :discharge (t156.a0))
% 10.99/11.24 (step t157 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t155 t156))
% 10.99/11.24 (step t158 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg2)
% 10.99/11.24 (step t159 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t157 t158))
% 10.99/11.24 (step t160 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule contraction :premises (t159))
% 10.99/11.24 (step t161 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule implies :premises (t160))
% 10.99/11.24 (step t162 (cl (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t161 t44))
% 10.99/11.24 (step t163 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t164)
% 10.99/11.24 (assume t164.a0 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))
% 10.99/11.24 (step t164.t1 (cl (or (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))))) :rule forall_inst :args ((:= A (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.24 (step t164.t2 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) :rule or :premises (t164.t1))
% 10.99/11.24 (step t164.t3 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t164.t2 t164.a0))
% 10.99/11.24 (step t164 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) :rule subproof :discharge (t164.a0))
% 10.99/11.24 (step t165 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t163 t164))
% 10.99/11.24 (step t166 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) (not (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))))) :rule implies_neg2)
% 10.99/11.24 (step t167 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))))) :rule resolution :premises (t165 t166))
% 10.99/11.24 (step t168 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))))) :rule contraction :premises (t167))
% 10.99/11.24 (step t169 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) :rule implies :premises (t168))
% 10.99/11.24 (step t170 (cl (= tptp.identity (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t169 a3))
% 10.99/11.24 (step t171 (cl (not (= (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))))) (not (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) :rule equiv_pos2)
% 10.99/11.24 (step t172 (cl (= (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) :rule all_simplify)
% 10.99/11.24 (step t173 (cl (= (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))))) :rule cong :premises (t79 t172))
% 10.99/11.24 (step t174 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t175)
% 10.99/11.24 (assume t175.a0 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))
% 10.99/11.24 (step t175.t1 (cl (or (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) :rule forall_inst :args ((:= A (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.24 (step t175.t2 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) :rule or :premises (t175.t1))
% 10.99/11.24 (step t175.t3 (cl (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) :rule resolution :premises (t175.t2 t175.a0))
% 10.99/11.24 (step t175 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) :rule subproof :discharge (t175.a0))
% 10.99/11.24 (step t176 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) :rule resolution :premises (t174 t175))
% 10.99/11.24 (step t177 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (not (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) :rule implies_neg2)
% 10.99/11.24 (step t178 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) :rule resolution :premises (t176 t177))
% 10.99/11.24 (step t179 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity)))) :rule contraction :premises (t178))
% 10.99/11.24 (step t180 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t171 t173 t179))
% 10.99/11.24 (step t181 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) :rule implies :premises (t180))
% 10.99/11.24 (step t182 (cl (= (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) tptp.identity) (tptp.inverse (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t181 a2))
% 10.99/11.24 (step t183 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t184)
% 10.99/11.24 (assume t184.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.24 (step t184.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule forall_inst :args ((:= A tptp.identity) (:= B tptp.identity) (:= C (tptp.double_divide tptp.identity tptp.identity))))
% 10.99/11.24 (step t184.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule or :premises (t184.t1))
% 10.99/11.24 (step t184.t3 (cl (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t184.t2 t184.a0))
% 10.99/11.24 (step t184 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule subproof :discharge (t184.a0))
% 10.99/11.24 (step t185 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t183 t184))
% 10.99/11.24 (step t186 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg2)
% 10.99/11.24 (step t187 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t185 t186))
% 10.99/11.24 (step t188 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule contraction :premises (t187))
% 10.99/11.24 (step t189 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule implies :premises (t188))
% 10.99/11.24 (step t190 (cl (= (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t189 t44))
% 10.99/11.24 (step t191 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t192)
% 10.99/11.24 (assume t192.a0 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))))
% 10.99/11.24 (step t192.t1 (cl (or (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule forall_inst :args ((:= A (tptp.double_divide tptp.identity tptp.identity)) (:= B tptp.identity) (:= C (tptp.inverse tptp.identity))))
% 10.99/11.24 (step t192.t2 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule or :premises (t192.t1))
% 10.99/11.24 (step t192.t3 (cl (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t192.t2 t192.a0))
% 10.99/11.24 (step t192 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule subproof :discharge (t192.a0))
% 10.99/11.24 (step t193 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t191 t192))
% 10.99/11.24 (step t194 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (not (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule implies_neg2)
% 10.99/11.24 (step t195 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule resolution :premises (t193 t194))
% 10.99/11.24 (step t196 (cl (=> (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) :rule contraction :premises (t195))
% 10.99/11.24 (step t197 (cl (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= C (tptp.double_divide (tptp.double_divide A (tptp.double_divide (tptp.double_divide (tptp.double_divide B A) C) (tptp.double_divide B tptp.identity))) (tptp.double_divide tptp.identity tptp.identity))))) (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule implies :premises (t196))
% 10.99/11.24 (step t198 (cl (= (tptp.inverse tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity tptp.identity) (tptp.double_divide (tptp.double_divide (tptp.double_divide tptp.identity (tptp.double_divide tptp.identity tptp.identity)) (tptp.inverse tptp.identity)) (tptp.double_divide tptp.identity tptp.identity))) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t197 t44))
% 10.99/11.24 (step t199 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t200)
% 10.99/11.24 (assume t200.a0 (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))))
% 10.99/11.24 (step t200.t1 (cl (or (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))))) :rule forall_inst :args ((:= A tptp.identity)))
% 10.99/11.24 (step t200.t2 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) :rule or :premises (t200.t1))
% 10.99/11.24 (step t200.t3 (cl (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t200.t2 t200.a0))
% 10.99/11.24 (step t200 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) :rule subproof :discharge (t200.a0))
% 10.99/11.24 (step t201 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t199 t200))
% 10.99/11.24 (step t202 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) (not (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))))) :rule implies_neg2)
% 10.99/11.24 (step t203 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))))) :rule resolution :premises (t201 t202))
% 10.99/11.24 (step t204 (cl (=> (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A)))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity))))) :rule contraction :premises (t203))
% 10.99/11.24 (step t205 (cl (not (forall ((A $$unsorted)) (= tptp.identity (tptp.double_divide A (tptp.inverse A))))) (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) :rule implies :premises (t204))
% 10.99/11.24 (step t206 (cl (= tptp.identity (tptp.double_divide tptp.identity (tptp.inverse tptp.identity)))) :rule resolution :premises (t205 a3))
% 10.99/11.24 (step t207 (cl (not (= (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity))))) (not (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity)))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)))) :rule equiv_pos2)
% 10.99/11.24 (step t208 (cl (= (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity)) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)))) :rule all_simplify)
% 10.99/11.24 (step t209 (cl (= (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity))))) :rule cong :premises (t79 t208))
% 10.99/11.24 (step t210 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) :rule implies_neg1)
% 10.99/11.24 (anchor :step t211)
% 10.99/11.24 (assume t211.a0 (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))))
% 10.99/11.24 (step t211.t1 (cl (or (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity)))) :rule forall_inst :args ((:= A tptp.identity)))
% 10.99/11.24 (step t211.t2 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) :rule or :premises (t211.t1))
% 10.99/11.24 (step t211.t3 (cl (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) :rule resolution :premises (t211.t2 t211.a0))
% 10.99/11.24 (step t211 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) :rule subproof :discharge (t211.a0))
% 10.99/11.24 (step t212 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) :rule resolution :premises (t210 t211))
% 10.99/11.24 (step t213 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (not (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity)))) :rule implies_neg2)
% 10.99/11.24 (step t214 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity))) (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity)))) :rule resolution :premises (t212 t213))
% 10.99/11.24 (step t215 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.inverse tptp.identity) (tptp.double_divide tptp.identity tptp.identity)))) :rule contraction :premises (t214))
% 10.99/11.24 (step t216 (cl (=> (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity)))) :rule resolution :premises (t207 t209 t215))
% 10.99/11.24 (step t217 (cl (not (forall ((A $$unsorted)) (= (tptp.inverse A) (tptp.double_divide A tptp.identity)))) (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity))) :rule implies :premises (t216))
% 10.99/11.24 (step t218 (cl (= (tptp.double_divide tptp.identity tptp.identity) (tptp.inverse tptp.identity))) :rule resolution :premises (t217 a2))
% 10.99/11.24 (step t219 (cl (not (= tptp.a2 (tptp.multiply tptp.identity tptp.a2)))) :rule not_symm :premises (a4))
% 10.99/11.24 (step t220 (cl) :rule resolution :premises (t34 t45 t53 t61 t69 t77 t90 t98 t106 t114 t122 t130 t138 t146 t154 t162 t170 t182 t190 t198 t206 t218 t219))
% 10.99/11.24
% 10.99/11.24 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.bLOo7VvZbB/cvc5---1.0.5_18936.smt2
% 10.99/11.25 % cvc5---1.0.5 exiting
% 10.99/11.25 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------